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3 years ago

PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!

Mathematics

1 answer:

ankoles [38]3 years ago

3 0

Answer:

1/30

Step-by-step explanation:

well if there are 150 cards on the table and 5 are bonus, this can be turned into a simple fraction 5/150. just simplify and you are good to go!

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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th

butalik [34]

Answer:

a) A sample size of 5615 is needed.

b) 0.012

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.

This is n for which M = 0.015.

We have that $\pi = 0.2$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.015 = 2.81\sqrt{\frac{0.2*0.8}{n}}$

$0.015\sqrt{n} = 2.81\sqrt{0.2*0.8}$

$\sqrt{n} = \frac{2.81\sqrt{0.2*0.8}}{0.015}$

$(\sqrt{n})^{2} = (\frac{2.81\sqrt{0.2*0.8}}{0.015})^{2}$

$n = 5615$

A sample size of 5615 is needed.

(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?

Now $\pi = 0.12, n = 5615$ .

We have to find M.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 2.81\sqrt{\frac{0.12*0.88}{5615}}$

$M = 0.012$

7 0

3 years ago

I need help with the work of the math

8_murik_8 [283]

Answer:

13) (-2,-3) 14) (7,-4) 15) (-8,7)

Step-by-step explanation:

13) y=8x+13

-4x-5y=23

use substitution

-4x-5(8x+13)=23

distribute -5 in the parenthesis

-4x-40x-65=23

-44x-65=23

add 65 on both sides

-44x=88

divide both sides by -44

x=-2

for y...

y=8(-2)+13

y=-16+13

y=-3

answer is (-2,-3)

14) -3x-y=-17

y=-4x+24

use substitution

-3x-1(-4x+24)=-17

distribute the -2 in the parenthesis

-3x+4x-24=-17

x-24=-17

add 24 on both sides

x=7

for y...

y=-4(7)+24

y=-28+24

y=-4

answer is (7,-4)

15)5x+4y=-12

y=-2x-9

use substitution

5x+4(-2x-9)=-12

distribute 4 in the parenthesis

5x-8x-36=-12

-3x-36=-12

add 36 on both sides

-3x=24

divide both sides by -3

x=-8

for y...

y=-2(-8)-9

y=16-9

y=7

answer is (-8,7)

7 0

3 years ago

683,004 and 3,854.927to nearest hundredths

Karolina [17]

Answer:

683004.00

3854.93

Step-by-step explanation:

8 0

3 years ago

Evaluate each value expression for the given value of x: 11 + x, x=12

ratelena [41]

Answer:

The value of 11+x at x=12 will be 23.

Step-by-step explanation:

Given the expression

$11 + x$

As we have to evaluate the expression at x=12

so substitute the value x=12 in the expression

$11 + x$

$=11+12$

$=23$

Therefore, the value of 11+x at x=12 will be 23.

4 0

3 years ago

While on vacation in Mexico Jeremiah reads a distance marker that indicates he is 89 kilometers from Juárez.If 1mile is approxim

Monica [59]

Answer:

55.27 miles

Step-by-step explanation:

Hello, I think I can help you with this

you can easily solve this by using a simple rule of three

Step one

If 1 mile is approximately 1.61 kilometers,it is

1 miles ⇔ 1.61 Kilometers

the, how many miles(x) are 89 km?

x ⇔ 89 kilometers

the relation is

$\frac{1\ mile}{1.61\ km}=\frac{x}{89\ km} \\$

Step two

solve for x( isolating x)

$\frac{1\ mile}{1.61\ km}=\frac{x}{89\ km} \\\frac{1\ mile*89\ km}{1.61\ km}=x\\x=55.27\ miles$

55.27 miles

Have a good day

5 0

3 years ago