solve the equation

f(n)=10⋅2n for n = -2

Answer:

x=8,y=-2/3

Step-by-step explanation:

make x the subject of formula

x=7+3y

substitute into the first equation

4(7+3y)+3y=18

28+12y+3y=18

28+15y=18

15y=18-28

15y=-10

y=-10/15=-2/3

since y=-2/3, substitute y into x=7+3y

x=7+3(-2/3)

x=7-2

x=5

Answer:

1/2

Step-by-step explanation:

in one try, Micah will either pick 1 good apple or 1 bad apple, so the probability would be 1/2.

Answer:

yes, you just add more -16 between each number

Answer:

a (a - b)

Step-by-step explanation:

[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]

Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]

so it will be subtracted :

[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]

= [tex]a^{2} - ab[/tex]

= a (a - b)

Answer:

-1 to 1

Step-by-step explanation:

The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.

9514 1404 393

Answer:

  26

Step-by-step explanation:

If the number is represented by n, then 3 times the number is 3n. The sum of that and 5 is 83:

  5 + 3n = 83

  3n = 78 . . . . . . subtract 5

  n = 26 . . . . . . . divide by 3

The number is 26.

Answer:

no. of packs in one box = 18

no. of boxes = 7

total no. of packs of socks = 18*7

=126

Answer:

126 packs

Step-by-step explanation:

1 box = 18 packs

7 boxes = ? packs

7 * 18 = 126 packs

Answer:

Probability will be 4 by 6

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Step-by-step explanation:

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

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Answer:

A, Reflection across the y-axis and translation 3 units down

Answer:

A reflection across the y-axis and translation 3 units down

Step-by-step explanation:

Answer:

option third : 93.33 cubic. cm

Step-by-step explanation:

Volume of rectangular prism :-

Given :- length = 7cm, width = 4cm, height = 10cm

[tex]v = \frac{l \times w \times h}{3} \\ = \frac{280}{3} \\ = 93.333[/tex]

Answer:

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

To US and Canada:

37 overweight out of 256. So

[tex]p_1 = \frac{37}{256} = 0.1445, s_1 = \sqrt{\frac{0.1445*0.8555}{256}} = 0.022[/tex]

Europe:

41 overweight out of 246. So

[tex]p_2 = \frac{41}{246} = 0.1667, s_2 = \sqrt{\frac{0.1667*0.8333}{246}} = 0.0238[/tex]

Test if there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2):

At the null hypothesis, we test if there is no difference, that is, if the subtraction of the proportions is 0.

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternate hypothesis, we test if there is difference, that is, if the subtraction of the null hypothesis is different of 0.

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = p_1 - p_2 = 0.1445 - 0.1667 = -0.0222[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.022^2 + 0.0238^2} = 0.0324[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.0222 - 0}{0.0324}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of the sample proportion differing from 0 by at least 0.0222, which is P(|z| > 0.68), which is 2 multiplied by the p-value of z = -0.68.

Looking at the z-table, z = -0.68 has a p-value of 0.2483

0.2483*2 = 0.4966

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

Answer:

a) 3, 2, 0, -1

b) 7, 1, -9, -10

c) 6, 2, -1, -3, -12

d) 8, 2, 0, -2, -4

Answer:

9y+7=2y+98

5y=91

y=91\5

Answer:

%37.5

Step-by-step explanation:

Answer:

Below - 13

Above 35

Step-by-step explanation:

Given the 5 number summary :

1, 5, 11, 17, 20

Minimum = 1

Q1 = 5

Q2 = 11

Q3 = 17

Maximum = 20

Lower Outlier = Q1 - 1.5*IQR

Upper Outlier = Q3 + 1.5*IQR

IQR = Q3 - Q1 = 17 - 5 = 12

LOWER = 5 - (1.5 * 12) = 5 - 18 = - 13

UPPER = 17 + (1.5 * 12) = 17 + 18= 35

Answer:

c

Step-by-step explanation:

the three sides flip up and you get the shape of three triangles faced up on a triangle, as in c

Answer:

x=112b+13

Step-by-step explanation:

idek

Answer:

the closest answer is the last option, so I would say that is the correct one.

Step-by-step explanation:

4.5 x 4.5 x π =

20.25 x π =

63.6172....

Answer:

- 5

Step-by-step explanation:

Probability of a coin toss : (H, T)

With probability of 0.5 each

X : ____100 ____ - 110

P(x) :___ 0.5 ____ 0.5

Expected value ; E(X) = ΣX*p(X)

E(X) = (100 * 0.5) + (-110 * 0.5)

E(X) = 50 - 55

E(X) = - 5

Expected value = - 5

Answer:

54

Step-by-step explanation:

Calculation to determine How many problems on the final exam did Cameron get wrong

Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)

Let plug in the formula

Wrong Numbers of problems=200-(73%*200)

Wrong Numbers of problems=200-146

Wrong Numbers of problems=54 problems

Therefore the problems on the final exam that Cameron get wrong is 54

Answer:

54

Step-by-step explanation:

ok

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Your answer should be 27 square units

Answer: 54

Step-by-step explanation:

Answer:

C. ASA Similarity

Step-by-step explanation:

Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.

Answer:

3/20

1/5

Step-by-step explanation:

Sample space :

10 - faced die :

(1, 2, 3, 4,5, 6, 7,8, 9, 10)

Coin = (H, T)

P(H) = 1/2

Multiple of 3 = 3, 6, 9 = 3

P(Multiple of 3) = 3 / 10

P(H and multiple of 3) = 1/2 * 3/10 = 3 /20

2.)

P(tail) = 1/2

Prime numbers = (2, 3, 5, 7) = 4

P(A prime number) = 4 / 10

P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5

Answer:

respuesta 0.2

Step-by-step explanation:

espero que te sirvan ( ꈍᴗꈍ)

Answer:

2^5

Step-by-step explanation:

1^10 = 1 (1*1*1*1*1....)

5^2 = 25 (5*5)

2^5 = 32 (2*2*2*2*2)

3^3 = 27 (3*3*3)

Answer:

statement 1 is the only correct one

Step-by-step explanation:

Answer:

75ft

Step-by-step explanation:

if the shadow of a 6ft = 2.4ft

then the shadow of x=(30/2.4)×6=75