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3 years ago

Need help pleaseOn all three

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

Answer:

1. proportional relationship

2. constant of proportionality

3. unit rate.

I'm not exactly sure on these answers, so please double check them for me to make sure that they are correct.

Step-by-step explanation:

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10. In a survey of 212 people at the local track and field championship, 72% favored the home team

igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error of the survey is:

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

The confidence interval can be written as:

$\pi \pm zM$

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that $n = 212, \pi = 0.72$

a. Find the margin of error for the survey.

$M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308$

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound:

$\pi - zM = 0.72 - 1.96*0.0308 = 0.6596$

Upper bound:

$\pi + zM = 0.72 + 1.96*0.0308 = 0.7804$

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0

3 years ago

A group of students investigated the effect of temperature of vinegar on its reaction time with baking soda. To minimize the ran

worty [1.4K]

Answer:

ehifhidbviasbeoifoaweilbfjwBFUWGUF

Step-by-step explanation:

next time you answer someone's question with a bunch of random letters just to get the points don't. It rude especially sense you have questions you want answered. Now I could be nice and help you because I know how to solve this and you obviously don't, but I'm giving you the same curtesy as you did me and writing a bunch of gibberish.

8 0

2 years ago

By what percent will the fraction change if its numerator is increased by 25% and its denominator is increased by 20%? please an

d1i1m1o1n [39]

<h2>Answer:</h2><h2>The new fraction will chnage by 1.25 : 1.2 ratio, (i.e) = 1.04 %</h2>

Step-by-step explanation:

Let the fraction be represented as $\frac{x}{y}$ where x is the numerator and y is the denominator

Given that numerator will increase by 25 %, = 25% x

= 0.25 x

Given that denominator will increase by 20 %, = 20% y

= 0.2 y

The new fraction becomes = $\frac{x + 0.25 x}{y + 0.2 y}$

= $\frac{1.25 x}{1.2 y}$

= $(\frac{1.25}{1.2} ) \frac{x}{y}$

The new fraction will chnage by 1.25 : 1.2 ratio, (i.e) = 1.04 %

5 0

2 years ago

On Monday, a company stock closed at a price of $30.80 per share. On Tuesday, it increased by $1.20 per share. On Wednesday, it

anygoal [31]

If I did this correctly, the answer should be 2.72. Monday's stock price is given to you already, 30.80. To find Tuesday's, you'd add 1.20 to the already existing 30.80, that totals to 32. To find the number for Wednesday you would have to get the percentage and move the decimal so you can multiply it, it should end at .0625. You then get that number and multiply it by 32 because it was Tuesday's amount. From that you should get 2. You then subtract the 2 and the total for Wednesday is 30. You do the same for Thursday, you get the already existing number, 30, and multiply it by .04. That should end in 1.2. You then subtract that 1.2 and you should get 28.8 as your answer for Thursday. For Friday, the steps repeat. You take the 28.8 and multiply it by .025. That should equal to .72. You now subtract that .72 from Thursday's amount and should be left with 28.08 for Friday. Now that all the numbers are known, take the numbers for Monday and for Friday and then subtract them. (30.80-28.08) It should equal to 2.72.

7 0

2 years ago

QUICK PLZZ!!! If m<ABD = 71°, what are m<ABC and m<DBC?

suter [353]

Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

Step-by-step explanation:

7 0

2 years ago