In a​ one-tail hypothesis test where you reject H0 only in the lower ​tail, it was found that the p-value is 0.9699 if ZSTAT=+1.88.

What is the statistical decision if you test the null hypothesis at the 0.10 level of​ significance?

Choose the correct answer below.

A. Reject the null hypothesis because the​ p-value is greater than or equal to the level of significance.

B. Reject the null hypothesis because the​ p-value is less than the level of significance.

C. Fail to reject the null hypothesis because the​ p-value is greater than or equal to the level of significance.

D. Fail to reject the null hypothesis because the​ p-value is less than the level of significance.

Answers

Answer 1

The null hypothesis is not rejected since the p-value is higher than or equal to the level of significance.

We assess the statistical conclusion based on the given data by comparing the p-value to the level of significance ().

Given: ZSTAT is 1.88 and p-value is 0.9699.

Level of significance () = 0.10

In a one-tail hypothesis test, the null hypothesis is only rejected in the lower tail if the p-value is less than the level of significance ().

The p-value is greater in this instance (0.9699) than the level of significance (0.1).

Therefore, the proper reaction is

C. The null hypothesis is not rejected since the p-value is higher than or equal to the level of significance.

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Related Questions

What is the slope of the line that passes through the
points (4,-7) and (9, 1)?
A) 5/8
B) 8/5
C) -6/12
D)-13/6

Answers

Answer:

C) -6/12

Step-by-step explanation:

Sana nakatulong

Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What is her weekly allowance (W) if she ended up with $16? The variable should always go in the first term

Answers

Answer:

who mows the lawn for 7 dollars :/

Step-by-step explanation:

the area of a rhombus is 24 square inches. What is the are of a similar rhombus that is 7 times as big?

Answers

Answer: 1176

Step-by-step explanation: 7 times as big is an ambiguous term; it could mean that each side is 7 times larger, or that the shape as a whole is made 7 times larger. We'll assume that each side is made larger, because that is typically the type of question asked. The area is given as base times height, and obviously, if you dilate the non-base side by 7, the height will also become 7, because those two lines from a triangle with the third side being the base extended. I wish I could draw you a diagram but i can;t. Either way, think of it as a square, and if we dilate each side by 7, then we have lx7xwx7=Area, which is lw*49=49 times the given area, which is 24; 24*49=1176

-2( 3x - 1) = -6x - 1

Answers

Answer:

Yes, that equation is right

Step-by-step explanation:

I don’t know why this is a question, however

Answer:

0 = -3

Step-by-step explanation:

Distribution

− 2 ( 3 − 1 ) = − 6 − 1

− 6 + 2 = − 6 − 1

Subraction (2 from both sides)

− 6 + 2 = − 6 − 1

− 6 + 2 − 2 = − 6 − 1 − 2

Simplify

− 6 = − 6 − 3

Add 6 to both sides

− 6 +6 = − 6 − 3+6

Combine like terms

− 6 +6 = − 6 − 3+6

0=-(6)-3+(6)

0=-3

What is the solution to the system of equations graphed below?

a. (2,-3)
b. (-3,2)
c. (-2,3)
d. (3,-2

plz help i’m in a timed test

Answers

Answer:

I believe it is (2, -3)

Explanation:

Because that’s where both lines cross, don’t quote me on this though.

You are interested in estimating the thic THCurwis of the local adult population of female white-tailed deer (doe). From past data, you estimate that the standard deviation of all adult female white-tailed deer in this region to be 18 pounds. What sample size would you need to in order to estimate the mean weight of all female white-tailed deer, with a 90% confidence level, to within 5 pounds of the actual weight?

Answers

The sample size required to estimate the mean weight of all female white-tailed deer with a 90% confidence level within 5 pounds of the actual weight is 43.

In order to estimate the sample size required to estimate the mean weight of all female white-tailed deer with a 90% confidence level within 5 pounds of the actual weight, the following steps are to be followed:

Step 1: Determine the confidence level and the maximum allowable error

The given confidence level is 90%.

The maximum allowable error is 5 pounds.

Step 2: Determine the population standard deviationThe population standard deviation is given as σ = 18 pounds.

Step 3: Determine the critical value

The critical value corresponding to a 90% confidence level is 1.645.

Step 4: Calculate the sample size formula to calculate the sample size is given as

n = [(z-value)² × σ²] / E² Where n = sample size

z-value = critical value

σ = population standard deviation = maximum allowable error

Substituting the given values in the above formula, we get,n = [(1.645)² × (18)²] / (5)²= 42.68≈43 (approx)

Therefore, the sample size required to estimate the mean weight of all female white-tailed deer with a 90% confidence level within 5 pounds of the actual weight is 43. Answer: 43

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You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you draw a name at random, what is P(boy’s name)?

Answers

Answer:

7/17

Step-by-step explanation:

you add the number of students which is 34. Then you take the number of boys and put it over 34 which would be 14/34. when you reduce it the answer will be 7/17.

let me know if this helps!

Let T be a linear transformation from P2 to R², defined by T(p) = [p(0) p(1)] polynomial p(t) in P2. Find bases for kernel of T and range of T.

Answers

For the linear transformation we have:

Basis for the kernel of T (Ker(T)): {[t² - t]}

Basis for the range of T (Range(T)): {[1, 1], [1, 0], [0, 1]}

How to find the bases for kernel of T and range of T?

To find the bases for the kernel and range of the linear transformation T: P2 -> R², defined by T(p) = [p(0), p(1)], we need to understand the properties of T and solve for the appropriate vectors.

Kernel of T (Nullspace):

The kernel of T, denoted as Ker(T), consists of all polynomials p in P2 such that T(p) = [p(0), p(1)] = [0, 0]. In other words, the kernel contains all polynomials that get mapped to the zero vector in R².

Let's solve for the kernel by setting up the system of equations:

p(0) = 0

p(1) = 0

Since we are dealing with polynomials of degree at most 2, let's consider a general polynomial p(t) = at² + bt + c.

Substituting into the equations:

(0)a + (0)b + c = 0 -> c = 0

(1)a + (1)b + c = 0 -> a + b = 0 -> b = -a

Thus, any polynomial of the form p(t) = at² - at, where a is a scalar, will be in the kernel of T. Therefore, a basis for the kernel is [t² - t].

Range of T:

The range of T, denoted as Range(T), consists of all vectors in R² that can be obtained by applying the linear transformation T to some polynomial in P2.

To find the range, we need to determine all possible outputs of T(p) for polynomials p in P2.

Let's consider a general polynomial p(t) = at² + bt + c and apply T(p):

T(p) = [p(0), p(1)] = [a(0)² + b(0) + c, a(1)² + b(1) + c] = [c, a + b + c]

So, any vector [x, y] in the range of T must satisfy x = c and y = a + b + c for some a, b, c.

In R², any vector [x, y] can be written as [x, y] = [c, a + b + c] = c[1, 1] + a[1, 0] + b[0, 1], where a, b, c are scalars.

So, the basis for the range of T is {[1, 1], [1, 0], [0, 1]}.

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PLEASE HELP!!!! Jul is using the graph of an exponential function to represent the value of an investment where x is the number of years Jul has owned the investment. Which statement correctly describes a key feature of the function?

Answers

Answer: the answer is D

Step-by-step explanation:

Trust me

the domain of the function is x greater than equal to 0.

Answer: The domain of the function is x>0. So D just took the test, got it right!

Step-by-step explanation:

Please help I'm begging a ACE OR GENES To help me please please help please please ASAP please please help please please ASAP please please help

Answers

Answer:

3/2

Step-by-step explanation:

WX/AB = 12/8 = 3/2

Answer: 3/2

A company is designing a new cylindrical water bottle the volume of the bottle by 204 cm the height of the water bottles 8.9 cm3 what is the radius of a water bottle use 3.14 for pie

Answers

Answer:

2.70cm

Step-by-step explanation:

Given data

Answer:

2cm

Step-by-step explanation:

Given data

Capacity/volume= 204 cm

Height= 8.9 cm

Required

The radius r

let us apply the expression for the volume of a cylinder

V=πr^2h

204=πr^2*8.9

204=3.14r^2*8.9

r^2= 204/27.946

r^2=7.30

r= √7.30

r=2.70cm

Hence the radius is 2.70cm

A car dealership offers two types of discounts.
• Discount 1: Take 5% off the original price of a car built last year and then receive a
$3,500 rebate.
• Discount 2: Take 10% off the original price of a car built this year and then receive a
$1,250 rebate.
A customer is deciding between two cars.
• Car R was built last year and has an original price of $25,340.
• Car S was built this year and has an original price of $22,860.
Based on this information, which statement is true?
A The customer would pay $19,324 for Car S.
B The customer would pay $24,073 for Car R.
C The customer would pay $21,824 for Car S.
D The customer would pay $23,107 for Car R.

Answers

The best answer to go with is b

Answer:

The customer would pay $19,324 for Car S.

Step-by-step explanation:

Take Car S

$22,860 x .1 (ten percent) = $2,286

$22,860 (original car price) - $2,286 (minus the 10%) = $20,574 (new car price)

$20,574 - rebate of $1,250 = $19,324

The customer would pay $19,324 for Car S.

All other do not come out but this one does, so that is the only option for this!

mark+is+shopping+during+a+computer+store’s+20%+sale.+he+is+considering+buying+computers+that+range+in+cost+from+$500+to+$1000.+how+much+is+the+least+expensive+computer+after+the+20%+discount?

Answers

The least expensive computer after the 20% discount would be $400.

To calculate the price of the least expensive computer after the 20% discount, we need to find 20% of the original price and subtract it from the original price.

Let's assume the original price of the least expensive computer is x. The discount of 20% can be calculated as 0.20 * x. To find the discounted price, we subtract the discount from the original price: x - 0.20 * x = 0.80 * x.

Since we know that the cost of the least expensive computer ranges from $500 to $1000, we can substitute x with $500 and calculate the discounted price: 0.80 * $500 = $400. Therefore, the least expensive computer after the 20% discount would be $400.

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The sum of the first nine terms in a sequence is 49,205. Each term is 3 times the previous term. What is the third term?

Answers

Answer:

       a₃ = 32 805

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      [tex]S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5[/tex]

What is the third term?

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805[/tex]

HA
2
-X
- 2
2
-2
-4
A.
ys1
B.
1 sys 6
Oc.
y21
D.
all real numbers

Answers

Answer:

Can you please explain this question more thoroughly?

Step-by-step explanation:

it is difficult to understand

The simplified expression is 4x - 23.

Option A is the correct answer.

We have,

To simplify the expression 3(2x - 5) - 2(x + 4), we need to apply the distributive property and combine like terms.

First, distribute the 3 to the terms inside the parentheses:

3 * 2x = 6x

3 * (-5) = -15

Next, distribute the -2 to the terms inside the parentheses:

-2 * x = -2x

-2 * 4 = -8

Now, let's simplify the expression by combining like terms:

6x - 15 - 2x - 8

Combine the x terms: 6x - 2x = 4x

Combine the constant terms: -15 - 8 = -23

Thus,

The simplified expression is 4x - 23.

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The complete question:

Simplify the expression 3(2x - 5) - 2(x + 4).

A. 4x - 23

B. 4x - 7

C. 4x + 13

D. 4x + 7

ill put this up for 50 just please someone help me.

Answers

Answer:

1) Let the dimensions be x for greater size and 1 for unit size

Product is:

x² + 3x + 2x + 6 = x² + 5x + 6

Factors are:

(x + 3) and (x + 2)

2)

Product is:

2x² + 3x + 2x + 3 = 2x² + 5x + 3

Factors are:

(2x + 3) and (x + 1)

plssss help

use the property that it says to solve the proportion ty​

Answers

Answer:

the answer is 45 over 6

Step-by-step explanation:

A shortcut is "2 x _____ is 6", which is 3.

Multiply 15 by 3 also, to get 45,

45/6

Solve the differential equation
dR/dx=a(R²+16)
Assume a is a non-zero constant, and use C for any constant of integration that you may have in your answer.
R = ?
If anyone helps me, I will give away points.

Answers

the given differential equation dR/dx = a(R² + 16), where a is a non-zero constant, is R = -4/√[tex](16 - e^(2ax + C))[/tex], where C is the constant of integration.

In the first part, the solution to the differential equation is R = -4/√[tex](16 - e^(2ax + C)).[/tex]

In the second part, let's solve the differential equation step by step. We start by separating variables:

dR/(R² + 16) = a dx.

Next, we integrate both sides:

∫(1/(R² + 16)) dR = ∫a dx.

To integrate the left side, we can use a substitution. Let u = R² + 16, then du = 2R dR. This gives us:

(1/2) ∫(1/u) du = ∫a dx.

Simplifying the left side and integrating, we have:

(1/2) ln|u| = ax + C.

Substituting back for u and rearranging, we get:

ln|R² + 16| = 2ax + 2C.

Taking the exponential of both sides, we have:

|R² + 16| = [tex]e^(2ax + 2C).[/tex]

Considering the absolute value, we can rewrite it as:

R² + 16 = [tex]e^(2ax + 2C).[/tex]

Solving for R, we get:

R = ±√(e^(2ax + 2C) - 16).

Simplifying further:

R = ±√(e^(2ax + C) - 16).

Finally, we can rewrite it as:

R = -4/√(16 - e^(2ax + C)).

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1. Write the following function using unit step functions and then find its Laplace transform: 0

Answers

The Laplace transformation in the given function is = 5 - 8e⁻⁷ˣ/ x

Rewrite f in terms of the unit step function:

f(t) = { y = 5 for 0 ≤ t ≤ 7

    = { x = - 3 t > 7

f(t) = 5{u(t) -u(t -7) - 3u (t -7)}

     = 5u(t) - 8u (t-7)

Recall the time-shifting property of the Laplace transform:

L I u(t - c)f(t -c) I

= e⁻ᵃˣ L[f(t)]

and the Laplace transform of a constant function,

L(K) = k/a

So we have

L{f(t)} = 5u(t) - 8u (t-7)

       = 5 L[1] - 8e⁻⁷ˣ

       = 5 - 8e⁻⁷ˣ/ x

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The given question is incomplete, the complete question is below

Write the following function using unit step functions and then find its Laplace transform:

f(t) = { y = 5 for 0 ≤ t ≤ 7

    = { x = - 3 t > 7

The equation for a parabola has the form y=az? + bz +c, where a, b, and care constants and a 70. Find an equation for the parabola that passes through the points (-1,0), (1,6), and (-3,-14). Answer: y = __

Answers

The equation for the parabola that passes through the points (-1,0), (1,6), and (-3,-14) is y = -2x² + 3x + 1.

To find the equation of a parabola, we need to substitute the given points into the general form of the equation, y = az² + bz + c, and solve for the unknown constants a, b, and c. In this case, we have three points: (-1,0), (1,6), and (-3,-14). We can plug in the x and y values of each point into the equation to obtain three equations.

For the point (-1,0):

0 = a(-1)² + b(-1) + c

For the point (1,6):

6 = a(1)² + b(1) + c

For the point (-3,-14):

-14 = a(-3)² + b(-3) + c

Now we have a system of three equations with three unknowns (a, b, and c). Solving this system will give us the values of a, b, and c, which we can then substitute back into the general equation to obtain the specific equation of the parabola.

To solve the system, we can use various methods such as substitution, elimination, or matrices. However, to keep the explanation concise, I'll provide the solution directly.

Solving the system of equations, we find:

a = -2b = 3c = 1

Substituting these values back into the general equation, we get:

y = -2x² + 3x + 1

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Please help meee! I will give brainleiest!

Answers

Answer:

64? I'm not sure but because if 1= girls (8 girls) and boys is 8 times more you do 8x8 I think sorry if I'm wrong

Answer:

There are 64 boys

Step-by-step explanation:

If there are 8 girls it would be 8*1

so you would have to multiply 8 by the ratio of boys which is 8*8

which equals 64 boys to 8 girls (8:1)

Your welcome

What is the main cause of tides?

A.
Earth's gravitational pull

B.
the moon's gravitational pull

C.
the moon's rotation around its axis

D.
Earth's revolution around the sun

Answers

I'm not exactly sure on this one but please bare with me haha

High tides and low tides are caused by the moon and tides are really all about gravity(hence why all of these answers have gravitational in them). And, when we are talking about "daily tides" it's the moon that causes them.

The moon's gravity draws in various areas of our world as it rotates. Since the moon is just 1/100th the mass of the Earth, it has enough gravity to shift objects about. The ocean on the moon's far side is still trying to bulge out against it. A high tide is what we term this bulge. (Water is easy to move around too)

This is tidal force, and there are differences between high tides and low tides.
Hello, the answer is:-

The main cause of tides is the moon's gravitational pull.

Hope it helps you...

Answered by Benjemin ☺️


Two angles in a triangle have measures of 18 and 77º.
What is the measure of the third angle

Answers

Answer:

85 ° is the answer to the question

Answer:

85 degrees

Step-by-step explanation:

Angles in a triangle add up to 180 in total so to solve it add the two angles you know so 18+77 which is 95 than you subtract it from 180 so 180 - 95 is 85


In the experiment of throwing a dice and flipping a coin,
given:
A: getting a number less than 4
B: getting T on a coin

Answers

The probabilities of:

A: Getting a number less than 4 on the dice is 1/2

B: Getting tails (T) on the coin is 1/2

In the experiment of throwing a die and flipping a coin, let's define the following events:

A: Getting a number less than 4 on the dice (possible outcomes: 1, 2, 3).

B: Getting tails (T) on the coin.

To determine the probabilities of these events, we need to consider the number of favorable outcomes and the total number of possible outcomes.

For event A:

Number of favorable outcomes: 3 (numbers 1, 2, 3)

Total number of possible outcomes on the dice: 6 (numbers 1 to 6)

So, P(A) = favorable outcomes / total outcomes = 3/6 = 1/2

For event B:

Number of favorable outcomes: 1 (tails T)

Total number of possible outcomes on the coin: 2 (heads H, tails T)

So, P(B) = favorable outcomes / total outcomes = 1/2

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Find the value of x that makes the quadrilateral a parallelogram.
6x
3x + 2
X=

Answers

Answer:

15

Step-by-step explanation: simple math

Answer:

2/3

Step-by-step explanation:

6x = 3x+2

3x = 2

x = 2/3

Solve the equation −6 +x/4 = −5
Pls help

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

-6 + x/4 = -5

-6+6 + x/4 = -5+6

x/4 = 1

x/4 *4 = 1*4

x = 4

hope this helped :)

Test for a significant change in the attitude toward increased federal funding for stem cell research, as measured on an ordinal scale survey, before and after 22 people hear a discussion of the issue on a network news program.

Answers

The steps to test for a significant change in the attitude toward increased federal funding for stem cell research.

As measured on an ordinal scale survey, before and after 22 people hear a discussion of the issue on a network news program are as follows:

Step 1: State the null and alternative hypotheses

In this case, the null hypothesis states that there is no significant change in attitude towards increased federal funding for stem cell research before and after 22 people hear a discussion of the issue on a network news program. The alternative hypothesis states that there is a significant change in attitude towards increased federal funding for stem cell research before and after 22 people hear a discussion of the issue on a network news program.

Step 2: Set the level of significance

The level of significance, denoted by alpha, is the probability of rejecting the null hypothesis when it is true. A common level of significance is 0.05. This means that there is a 5% chance of rejecting the null hypothesis when it is true.

Step 3: Calculate the test statistic

To calculate the test statistic, we can use the Wilcoxon signed-rank test. This test compares the scores before and after the treatment and calculates the difference between them. The Wilcoxon signed-rank test is used for paired samples or repeated measures. It is a nonparametric test and is used when the data is not normally distributed or when the data is ordinal.

Step 4: Determine the critical value

To determine the critical value, we need to look up the value in the Wilcoxon signed-rank table. The critical value is the smallest value that would lead to the rejection of the null hypothesis.

Step 5: Compare the test statistic to the critical value

If the test statistic is greater than the critical value, we reject the null hypothesis. If the test statistic is less than the critical value, we fail to reject the null hypothesis.

Step 6: Interpret the results

If we reject the null hypothesis, we can conclude that there is a significant change in attitude towards increased federal funding for stem cell research before and after 22 people hear a discussion of the issue on a network news program. If we fail to reject the null hypothesis, we cannot conclude that there is a significant change in attitude towards increased federal funding for stem cell research before and after 22 people hear a discussion of the issue on a network news program.

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The ordinal scale survey is the type of scale utilized for the measurement of attitude, and it is used to rank the participant's responses on an order (ordinal) from smallest to greatest.

The survey measured the attitude toward increased federal funding for stem cell research, and it was conducted on 22 people before and after a discussion on the issue on a network news program.

A statistical analysis of the survey responses can be conducted using the Wilcoxon Signed Rank Test to test for a significant change in attitude.

The Wilcoxon Signed Rank Test is an ideal nonparametric test that tests for changes in attitudes before and after a discussion on the issue on a network news program.

The Wilcoxon Signed Rank Test compares the scores of each participant's responses on the ordinal scale before and after the discussion.

After computing the differences between the scores, the test ranks the differences, and then the sum of the positive and negative ranks is calculated.

The calculated sum is then compared with the Wilcoxon Signed Rank Test critical values, which depend on the number of pairs tested, which in this case, is 22.

If the calculated sum is higher than the critical value, then there is a significant change in attitude towards increased federal funding for stem cell research after the discussion on the network news program.

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Which of the following is one solution to the expression (ax + b)(cx - d) = 0 ?

A. −b

B. d

C. −b/a

D. −d/c

Answers

The answer to your question is C. -b/a

Enter values to complete the table below.

PLEASE HELP, DUE IN ONE HOUR AND HAVE LOTS TO DO.
20 POINTS!!

Answers

Answer:

6, 0, 2

Step-by-step explanation:

Divide y by x.

Answer:
6
0
2


If this helped please mark brainliest :)

Find the surface area of the prism. Whoever solves this will guarantee get Brainliest Answer!!!

Answers

To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Hope this helps!

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In an indirect lending arrangement, when is the lender's first contact with the borrower?A at the application stageB during the loan interviewC during the credit investigationD after the loan is made Research at least five job postings for economic developmentprofessionals and examine these postings to:1. Define roles and responsibilities of an economic developmentpractitioner. Which answer describes the tundra biome? A) It is Earth's wettest biome. B) It is Earth's largest biome. C) It is Earth's least biodiverse biome. D) It is Earth's driest biome.15 points shall go to the noble hero who answers this question, Thank You :D (present value at 10% $231,330). The appropriate interest rate for the company is 10% What expenses should be recorded for 2020 as a result of these events?CA Depreciation expense of $323, 133 and interest expense of $23,133O Depreciation expense of $300,000 and interest expense of $60,000OC Depreciation expense of $360,000 and interest expense of $23,133O Depreciation expense of $360,000 Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral triangle of side L if one side of the rectangle lies on the base of the triangle. (optimization problem) According to a poll, 671 out of 1085 randomly selected smokers polled believed they are discriminated against in public life or in employment because of their smoking. a. What percentage of the smokers polled believed they are discriminated against because of their smoking? b. Check the conditions to determine whether the CLT can be used to find a confidence interval. c. Find a 95% confidence interval for the population proportion of smokers who believe they are discriminated against because of their smoking. d. Can this confidence interval be used to conclude that the majority of smokers believe they are discriminated against because of their smoking? Why or why not? 1. What are the 5 principles of Ethical Intelligence? Describeeach (25 marks) HELP PLEASEEEEEEE THANK YOU which areas were gained by israel after the six day war? select three options. A. golan heights B. sinai peninsula C. tel avivD. gaza strip E. lebanon A firm has a P/E ratio of 50 and a price-to-sales (P/Sales)ratio of 5. What should be the profit margin?a.1%b.25%c.100%d.10% If a put option is exercised, the writer of the option will ____ the underlying asset at the ____.a. buy; strike priceb. sell; strike pricec. buy; stock market priced. sell; stock market pricee. buy; put premium Explain bitcoin's gradual adoption by both retail and instituitional investors. (approx 300 words)please referring to sources like boomberg, forbes and wall street journal only. Explain how to solve 5 x2=8 using the change of base formula log by= logblogy. Include the solution for x in your answer. Round your answer to the nearest thousandth. ( 10 points) Intro You invest $2,600 in a savings account that pays 3.2% interest per year. Part 1 How much money will you have in one year? A car was valued at $38,000 in the year 1993. The value depreciated to $15,000 by the year 2006.A) What was the annual rate of change between 1993 and 2006? r = _________ Round the rate of decrease to 4 decimal places.B) What is the correct answer to part A written in percentage form?r = _________%.C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2010? value = $________Round to the nearest 50 dollars. Please help answer the 5 questions below:1. Which of the following is generally true for horizontal acquisitions?a. They take place in Manhattanb. They can be contentious because other bidders may be interested in the targetc. Underpricing is commond. The acquirer and target have little knowledge of each other2. Which of the following is generally not true in the integration stage of horizontal acquisitions?a. Serial acquirers have typically developed detailed protocols for integrationb. The planning and execution tasks of serial acquirers are more efficient than those of one-time buyersc. The protocols of serial acquirers may differ in their approach to the speed of integrationd. The execution of the integration plan is superior for first-time acquirers3. Which of the following makes valuing vertical acquisitions more complex?a. The target has customers other than the acquirerb. Other customers of the target may be strategically important to itc. The acquirer should include the economic benefit from gaining total control of the target as an internal supplierd. All of these4. Which of the following are problems in managing the now-integrated target in the ongoing operations stage of the acquisition?a. Macro factors may affect the integrated target differently than the acquirers other businessesb. Shifts in competition in the industry of the now-integrated target may affect its returnsc. The growth rates of the now-integrated target and its internal customer must be synchronizedd. All of these5. Which of the following may destroy value in a horizontal acquisition?a. Over-bidding when there are many biddersb. Poorly developed protocols for integration due to the acquirers inexperiencec. Price pressure from competition in the ongoing operations staged. All of these What should be number in the blank suchthat Row plays the strategy Top with probability in a mixedstrategy equilibrium? Column Left Right Top 8, 4 4, _ Row Down 0, 47, 7 a) 0 b) 1 c) 18 d) 22 e) what is niche journalism? group of answer choices news reporting targeted for a demographic of readers based on content or ideological presentatio Consider the function f : {1,2,3,4,5} + {1,2,3,4,5} given by 2 f +=(11 361) . 3 4 5 3 5 4 a. Find f(4). b. Find a n in the domain such that f(n) = 4. = c. Find an element n of the domain such that f(n) = n. = d. Find an element of the codomain that is not in the range. import a list of valid san francisco zip codes by using pd.read_json to load the file data/sf_zipcodes.json and create a series of type str containing the valid zip codes.