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2 years ago

What is the y-intercept of the line given by the equation y equals two x minus nine?

Mathematics

1 answer:

jenyasd209 [6]2 years ago

8 0

Y-Intercept= -9

Your equation is Y=mx+b, and b is the Y-Intercept

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Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor

Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

$\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48$

Now compute the value of margin of error as follows:

$MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03$

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the value of sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066$

Thus, the sample size used to compute the 95% confidence interval is 1066.

4 0

2 years ago

Novay_Z [31]

Step-by-step explanation:

s is inversely proportional to t

If s= 0.6 , t= 4

s=k/t

0.6= k/4

k=2.4

If s=12, then

t=k/s

t=2.4/12

t=0.05

8 0

2 years ago

The average (arithmetic mean) of five different positive integers is 30. What is the greatest possible value of one of these int

geniusboy [140]

Answer:

The Greatest possible value of one of the integer is 140.

Step-by-step explanation:

Given: The average (arithmetic mean) of five different positive integers is 30.

To find: What is the greatest possible value of one of these integers?

Explanation: we are given that the arithmetic mean of five positive integer

is 30.

Let the five positive integers are A,B,C,D,E

The arithmetic mean :

$\frac{A+B+C+D+E}{5}$ =30.

On multiplying both side by 5.

A+B+C+D+E =150.

The least values of A ,B,C and D can be 1 ,2,3,4.

Then : 1 +2+3+4+E =150

On simplification 10+E =150

On subtraction both side by 10 we get

E = 140 .

Therefore, the Greatest possible value of one of the integer is 140.

6 0

2 years ago

Please help need this for today

Cloud [144]

All will apply except for (A, C, and E) because those lengths are less than 4/6. So (B, D and F) are the correct answers.

6 0

2 years ago

8x + y = 9 Convert the following equations to standard form

Citrus2011 [14]

Answer:

x=1/8y+9/8

y=y=−8x+9

Step-by-step explanation:

Let's solve for y.

8x+y=9

Step 1: Add -8x to both sides.

8x+y+−8x=9+−8x

y=−8x+9

Let's solve for x.

8x+y=9

Step 1: Add -y to both sides.

8x+y+−y=9+−y

8x=−y+9

Step 2: Divide both sides by 8.

8x/8=−y+9/8

x=−1/8y+9/8

5 0

3 years ago