MATHEMATICS COLLEGE

Simplify the expression:
3+ – 5(4+ – 3v)

Answers

Answer 1
Answer:

Answer:

The answer is

15v - 17

Step-by-step explanation:

3+ – 5(4+ – 3v) can be written as

3 - 5( 4 - 3v)

Expand and simplify

That's

3 - 20 + 15v

15v - 17

Hope this helps you

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What sample size would be required to estimate the true proportion of American female business executives who prefer the title "Ms.," with an error of ±0.025 and 98 percent confidence? (Enter your answer as a whole number (no decimals). Use a z-value taken to three decimal places in your calculations.) Sample size

Answers

Answer:

n=(0.5(1-0.5))/(((0.05)/(2.326))^2)=2164.1104

And rounded up we have that n=2165

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

p represent the real population proportion of interest

\hat p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

The population proportion have the following distribution  

p \sim N(p,\sqrt{(\hat p(1-\hat p))/(n)})  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by \alpha=1-0.98=0.02 and \alpha/2 =0.01. And the critical value would be given by:  

z_(\alpha/2)=-2.326, z_(1-\alpha/2)=2.326

The margin of error for the proportion interval is given by this formula:  

ME=z_(\alpha/2)\sqrt{(\hat p (1-\hat p))/(n)} (a)  

And on this case we have that ME =\pm 0.025 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

(b)

We can assume that the estimated proportion is 0.5 since we don't have other info provided to assume a different value. And replacing into equation (b) the values from part a we got:  

n=(0.5(1-0.5))/(((0.05)/(2.326))^2)=2164.1104

And rounded up we have that n=2165

How do you show 239+132 integer form to polynomial form

Answers

Answer:

The answer is "371"

Step-by-step explanation:

First polynomial value = 239

Second polynomial value = 132

Adding the value: = 239+ 132

                               = \boxed{\bold{371}}

The final answer is 371, which is also known as monomial.

Mr. and Mrs. Horner will be visiting the museum with their three children. Tickets cost $25 for adults and $15.50 for children. How much will it cost for the whole family to visit the museum?

Answers

Answer:

For the hole family it will cost 96.5$

Step-by-step explanation:

There are two adults, $25 each. 2×25=50

There are 3 children, 15.50 each. So you do 3×15.50= 46.5

To find the total cost add them both.

46.5+50= 96.5

Answer:

The total cost is $96.5

A diver is 5 feet above the surface of a pool. If his position can be recorded as 5 feet , what would the position of 0 represent

Answers

Answer:

on the surface of the pool should be your answer

Step-by-step explanation: uuh- google

8.) Out of 600 employees, only 270 are happy with their pay. What percent is this? (Please show your work.) *

Answers

For this case we can raise a rule of three:

600 employees -------------> 100%

270 employees -------------> x

Where the variable "x" represents the percentage of employees who are satisfied with their salary. So, we have:

x = \frac {270 * 100} {600}\nx = 45

Thus, 45% of employees are satisfied with their salary.

Answer:

45%

ANSWER

45\%

EXPLANATION

The total number of employees is 600.

The number of employees who are happy with their pay is 270.

The percentage of employees who are happy with their pay is the number who are happy with their pay divided by total number of employees times 100%

(270)/(600) * 100\%

This simplifies to

45\%

What are the zeros of the quadratic function f (x) = 2x^2 -10x-3?

Answers

Answer:

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4

Step-by-step explanation:

1. Need to factor or can use the quadratic formula

2x^2-10x-3=0

a=2, b=-10, c=-3

[-b+-sqrt(b^2-4*a*c)]/(2*a)

[10+-sqrt(100-4*(-200)]/4

[10+- sqrt(300)]/4

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4
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