Answers
Answer:
Step-by-step explanation:
Related Questions
Solve the quadratic equation x2 – 10x + 14 = –4 by completing the square.
Question 3 options:
A)
x = 5 ±
B)
x = –5 ±
C)
x = –7 ±
D)
x = 7 ±
Answers
Answer:
[tex] x = 5 \pm \sqrt{7} [/tex]
Step-by-step explanation:
x^2 - 10x + 14 = -4
Subtract 14 from both sides.
x^2 - 10x = -18
To complete the square, add the square of half of the x-term's coefficient.
x-term coefficient: -10
half of it: -5
squared: (-5)^2 = 25
Add 25 to both sides.
x^2 - 10x + 25 = -18 + 25
(x - 5)^2 = 7
Take square root of both sides. Be careful to include ± on the right side.
[tex] x - 5 = \pm \sqrt{7} [/tex]
Add 5 to both sides.
[tex] x = 5 \pm \sqrt{7} [/tex]
Tammy writes the equation -1 / 8 = -1/8. Is she correct? Explain.
Answers
The equation -1/8 = -1/8 means that both sides of the equation have the same value, which they do.
The negative sign in front of the fractions means that they are less than zero. The fraction 1/8 means one divided by eight, which is a small quantity.
So, -1/8 means a small negative quantity and -1/8 means the same small negative quantity.
Therefore, Tammy's equation is true and both sides are equal.
whats the answer to this
Answers
9 = x
x = 9
-42 + 8(9) = angle HIJ
-42 + 72 =
30 =
Answer: 30°
Have a good day ^^
40 points help me please
Answers
Answer:
x=60
Step-by-step explanation:
(1/6)(x+6)=11
Multiply both sides by six:
(6)(1/6)(x+6)=11(6)
x+6=66
Take six from both sides:
x+6-6=66-6
x=60
The length of a rectangular garden is 12 ft longer than the width, w. If the garden has a perimeter of 76 ft. Determine the length and width of the garden.
Answers
Step-by-step explanation:
length = l
width = w
perimeter of garden = 76 ft
perimeter = 2l + 2w
2l + 2w = 76 (eqn 1)
l - w = 12 (eqn 2)
(eqn 1) ÷ 2
l + w = 38 (eqn 3)
(eqn 2) + (eqn 3)
2l = 50
2l/2 = 50/2
l = 25
The length of the garden is 25 ft.
Substitute l = 25 into (eqn 3)
l + w = 38
25 + w = 38
w = 38 - 25
w = 13
The width of the garden is 13 ft.
A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym
Answers
Answer:
the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
Step-by-step explanation:
The computation of the expected value and the standard deviation of the sample mean is shown below:
The mean is 70
And, the standard deviation is
= 20 ÷ √49
= 20 ÷ 7
= 2.86
Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
hi does anyone have the answer for this? 100 points if answered :))
Answers
Answer:
15 feet
Step-by-step explanation:
This is already factored for the zeros of the quadratic. If x - 5 = 0 and x - 20 = 0 then x = 5 and 20. The ball was kicked 5 feet out and landed at 20 feet down the field. The difference is 15 feet. That's how far the ball traveled from its initial position on the ground to its landing place.
So 15 feet from where it was kicked.
2(5+xi)-21+5i=3yi^2-3yi
Answers
Answer:
x = -8, y = 11/3
Step-by-step explanation:
5.5.3 Suppose X and Y have a bivariate normal distribution with , , , , and . Determine the following. Round your answers to three decimal places (e.g. 98.765). (a) Enter your answer in accordance to the item a) of the question statement (b) Enter your answer in accordance to the item b) of the question statement (c) Enter your answer in accordance to the item c) of the question statement
Answers
The question is incomplete. The complete question is :
Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.
Determine the following. Round your answers to three decimal places (e.g. 98.765).
(a). [tex]$P(2.90 < X < 3.10) =$[/tex]
(b). [tex]$P(7.60 < X < 7.80) =$[/tex]
(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =
Solution :
We have
[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex] and
[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]
a). The required probability is
[tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]
= P(-2.5 < Z < 2.5) = P(Z < 2.5) - P(Z < -2.5)
= P(Z < 2.5) - [1-P(Z < 2.5)]
= 2P(Z < 2.5) - 1
= 2(0.99379) - 1
= 0.98758
≈ 0.988
b). The required probability is
[tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]
= P(-1.25 < Z < 1.25) = P(Z < 1.25) - P(Z < -1.25)
= P(Z < 1.25) - [1-P(Z < 1.25)]
= 2P(Z < 1.25) - 1
= 2(0.89435) - 1
= 0.7887
≈ 0.789
c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :
P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)
= (0.98758)(0.7887)
= 0.77890
≈ 0.779
wae21q42rwe2q4q2rwe3rq244e2eq2q22q
Answers
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer: 42.5%, 7.5%, Independent and Dependent
Step-by-step explanation:
A: The chance that both FDA will approve and double the value is 50%*85% or 0.50*0.85, or 85*1/2 which is 42.5%
B: 50%*(100-85)%=50%*15%=15%*1/2=7.5%
C: FDA approval is independent because nothing can effect it. However, the stock doubling is dependent, because if FDA does not approve, it will definitely not double.
Answer:
See explanation
Step-by-step explanation:
A: 50% * 85% = 42.5%
B: 50% * 15% = 7.5%
C: Dependent, because the stock price has a 0% chance of doubling if the GDA does not approve of the medicine.
integrate by parts xInx
Answers
Answer:
[tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
Integrals[Indefinite Integrals] Integration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {x \ln x} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = \ln x[/tex][u] Logarithmic Differentiation: [tex]\displaystyle du = \frac{1}{x} \ dx[/tex]Set dv: [tex]\displaystyle dv = x \ dx[/tex][dv] Integration Rule [Reverse Power Rule]: [tex]\displaystyle v = \frac{x^2}{2}[/tex]Step 3: Integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \int {\frac{x}{2}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \frac{1}{2} \int {x} \, dx[/tex]Factor: [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \int {x} \, dx \bigg)[/tex][Integral] Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \frac{x^2}{2} \bigg) + C[/tex]Factor: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
A lie detector is known to be 4/5 reliable when the person is guilty and 9/10 reliable when the person is innocent. If a suspect is chosen from a group of suspects of which only 1/100 have ever committed a crime, and the test indicates that the person is guilty, what is the probability that he is guilty?
Answers
Answer:
0.0748 = 7.48% probability that he is guilty
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Tests indicates guilty
Event B: Person is guilty
Probability that the test indicates that the person is guilty:
4/5 = 0.8 of 1/100 = 0.01(person is guilty)
1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So
[tex]P(A) = 0.8*0.01 + 0.1*0.99 = 0.107[/tex]
Test indicates guilty and the person is guilty;
0.01 of 0.8. So
[tex]P(A \cap B) = 0.01*0.8 = 0.008[/tex]
What is the probability that he is guilty?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748[/tex]
0.0748 = 7.48% probability that he is guilty
The required value is [tex]\simeq0.925 \ or \ 92.5[/tex]%.
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.
Let [tex]T_G[/tex] and [tex]T_I[/tex] denote the test result being guilty or innocent respectively.
And, [tex]G[/tex] and [tex]I[/tex] denote that the person is guilty or innocent respectively.
Given that: [tex]P\left ( T_G\mid I \right )=\frac{4}{5}[/tex]
[tex]P\left ( T_I\mid I \right )=\frac{9}{10}\Rightarrow P\left ( T_G\mid I \right )=1-\frac{9}{10}=\frac{1}{10}[/tex]
[tex]P(G)=\frac{1}{100} \\ \therefore P(I)=1-P(G) \\ =1-\frac{1}{100} \\ =\frac{99}{100}[/tex]
Now, the required probability is,
[tex]P(I\mid T_G)=\frac{P\left ( T_G\mid I \right )\times P(I)}{P(T_G\mid I)\times P(I)+P\left ( T_G\mid G \right )\times P(G)}[/tex]
[tex]=\frac{\frac{1}{10}\times\frac{99}{100}}{\left ( \frac{1}{10}\times \frac{99}{100}\right )+\left ( \frac{4}{5}\times\frac{1}{100} \right )} \\ =\frac{0.099}{0.099+0.008} \\ =\frac{0.099}{0.107} \\ =0.92523 \\ \simeq 0.925 \\ or \ 92.5%[/tex]
Learn more about the topic of Probability: brainly.com/question/26959834
PLEASE HELP
what is an expression equivalent to (x4y3y)2 in the form xmyn.
Answers
Answer:
x^8 y^8
did you mean (x^4 y^3 y)2 or just (x4y3y)2
Sorry did you submitted it yet?
If the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of xmyn is, x⁸y⁸.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is,
(x⁴y³y)²
Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.
We have to represent the given expression in the form of [tex]\rm x^m y^n[/tex].
We use the expression identity as,
[tex]x^m \times x^n = x^{m+n}[/tex]
[tex]\rm = (x^m)^n \\\\ = x^{mn}[/tex]
=(x⁴y³y)²
First, solve the term present in the bracket as,
=(x⁴y⁴)²
Open the bracket we get,
=(x⁴)²(y⁴)²
=x⁸y⁸
Thus, if the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of [tex]\rm x^m y^n[/tex] is, x⁸y⁸.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes? Sept. 72, Oct. 83, Nov. 95, Dec. 77, Jan. 88
Answers
Answer:
Oct.
Step-by-step explanation:
average = (72 + 83 + 95 + 77 + 88)/5 = 83
Find the trigonometric ratios as simplified fractions and as decimals to the nearest thousandths (3 decimal places)
16 34
HElp me plssss ;-;
Answers
Least common denominator in 1/30 + 1/24
Answers
Answer:
The LCD in 1/30 + 1/24 is 90.
71 is 10% of what number?
52 is 97% of what Number?
Explain steps.
Answers
Answer:
71 is 10% of 710
52 is 97% of 5200/97
Step-by-step explanation:
Let’s start with 71 is 10% of what number.
basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.
so, 71=0.1x
divide on both sides,
710=x
now the second one.
repeat the same process.
52=0.97x
divide
5200/97 =x
Simplify it and please show work
Answers
1+15=16
(-6)-(-17)=-11
5-14=-9
just remember when ur subtracting a number from a bigger number, it becomes negative
and two negatives equal a positive
1) 16
2) -6 -(-17) = -6 +17= 11
3) 19 -(-2) = 19 + 2 = 21
4) -13 + 20 = 7
5) -22
6) -9
7) -19
8) -6
9) -17
10) -20
11) -15 -(-10) = -15 + 10 = -5
12) -1
13) 30
14) 11 -(-9) = 11 + 9 = 20
15) 16
16) -21
What is the range of y=4sin(x)-2
Answers
Answer:
According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.
Step-by-step explanation:
Jody's team scored 21, 25, 36, 16, and 32 points at the last five football games. What is the mean number of points Jody's team scored? 20 points 21 points 25 points 26 points
Answers
Answer:
26 points
Step-by-step explanation:
Find the mean number of points by adding up all of the points and dividing it by 5
(21 + 25 + 36 + 16 + 32) / 5
130 / 5
= 26
So, the mean number of points is 26 points
Jody's team scored 21, 25, 36, 16 and 32 points at the last five football games. What is the mean number of points Jody's team scored ?
Solution:-To find the mean, first of all we have to add up all the given points and then divide by how many number of points there are. So, there are total 5 points. Hence, we have to divide all the given points by 5.
So, Mean = [tex] \bf \frac{21 \: + \: 25 \: + \: 36 \: + \: 16 \: + \: 32}{5} [/tex]
Mean = [tex] \bf \frac{130}{5} [/tex]
Mean = [tex] \bf 26 [/tex]
The mean number of points Jody's team scored is 26. [Answer]What is the measure of x?
A. 8
B. 9
C. 10
D. 11
Answers
Answer:
A
Step-by-step explanation:
The following amount was assigned to each. A penguin was $9, an octopus was $36, and ant was $27. Based on this information, how much will be given to a pig?
Answers
Answer:
$14
Step-by-step explanation:
Answer:
Is there options because this question not that in depth
Step-by-step explanation:
The sum of 9 and a number is less than 12. Which of the following inequalities expresses the solutions ?
Answers
Because the dividend is the same for all three expressions the larger the Divisor the__the quotient
Worth 100 points false info or just to take the points you will be reported
Answers
What is the volume of the composite figure? ASAP PLEASE!!!!
Answers
Answer:
74ft³
Step-by-step explanation:
Okay, so it's basically 3 rectangular figures smashed together so:
We'll do the 2 biggest one's first:
the formula for the volume of a rectangular figure is base x height so we first have to find the base:
4 x 3 = 12
So then we just plug our stuff in here:
12 x 3 = 36
Now there's 2 of these rectangles though so:
36 x 2 = 72
Now we're going to do the one in the middle:
1 x 2 = 2
2 x 1 = 2
Now we add that all together:
72 + 2 = 74
So, the volume of the composite figure is 74ft³
hope this helps:)
LAST ONEEE YAYYYYYYY
Answers
Answer:
80
Step-by-step explanation:
180 - 100 = 80. 180º is required for a straight line, and 100º have already been shown from the other angles. x = 80
The difference between the squares of two numbers is 35. Twice the square of
the first number increased by the square of the second number is 73. Find the
numbers.
Answers
Answer:
Los números son
7 y 8
Explicación paso a paso:
Si el número menor es "x" , el mayor es "x + 1"
entonces
( x + 1 )² - x² = 15
x² + 2x + 1 -x² = 15
2x + 1 = 15
2x = 15 - 1
2x = 14
x = 14/2
x = 7 ( número menor )
x + 1 = 7 + 1
x + 1 = 8 ( número mayor )
HELP! PLEASE.............
Answers
9514 1404 393
Answer:
B. negative trend
Step-by-step explanation:
The sign of the slope of the best-fit line is the sign of the "trend". A line that slopes downward has a negative slope. Such a best-fit line indicates a negative trend.
The logging company would like to use its sample to provide convincing statistical evidence that over 50 percent of the trees in the forest are spruce trees. The logging company has decided to use a chi-square goodness-of-fit test to justify its claim. Why is the chi-square goodness-of-fit test not an appropriate procedure for the logging company to use
Answers
Answer:
The chi-square goodness-of-fit test is best used with categorical variables. The trees in the forest are not categorical variables but numerical.
Step-by-step explanation:
The chi-square goodness-of-fit test determines whether the distribution of cases in a single categorical variable follows a known distribution. The chi-square goodness-of-fit test data deal with data frequencies, levels, or counts of cases rather than percentages or other data transformations. Lastly, the categories of the variables are mutually exclusive because they assume the form of either or.
Answer:
A chi-square goodness-of-fit test would be used to show that the entire distribution of trees in the forest is different than what the forester reported, not necessarily the individual proportion representing the spruce trees.
Step-by-step explanation:
The answer is the explanation. Got it from CollegeBoard.org