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ANEK [815]
2 years ago
12

There are big spenders among University of Alabama football season ticket holders. This data set Roll Tide!! shows the dollar am

ount of the purchases made at the previous two Alabama home football games by 479 season ticket holders randomly selected from all season ticket holders. The Univ. Of Alabama marketing department is considering a special event hosted by the governor at the next home game for season ticket holders who spent $1000 or more at the previous two home football games. From these data construct a 95% confidence interval for the proportion p of all Alabama football season ticket holders who will qualify for the special event
Mathematics
1 answer:
Bas_tet [7]2 years ago
7 0

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

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Find the inverse function of f(x)=15x-1
Masja [62]

Answer:

f'(x) = (x + 1)/15

Step-by-step explanation:

f(x) = 15x -1,

Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.

f(x) = 15x - 1

+1            +1

f(x) + 1 = 15x

/15         /15

(f(x) + 1)/15 = x

This means that (denote in the way one would denote an inverse of a function);

f'(x) = (x + 1)/15

6 0
3 years ago
Is this linear relationship a direct variation?
Talja [164]

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Step-by-step explanation:

A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.

A relationship is direct variation if y=kx\,\,or\,\, \frac{y}{x} =k where k is the constant.

Now checking if the given data is having direct variation or not.

x       y

3       24

4       32

5       40

6       48

Now finding y/x

if y=24 and x = 3 then y/x = 24/3 = 8

if y=32 and x = 4 then y/x =32/4=8

if y=40 and x = 5 then y/x =40/5 =8

if y=48 and x = 6 then y/x =48/6= 8

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Keywords: Direct Variation

Learn more about Direct Variation at:

  • brainly.com/question/10708697
  • brainly.com/question/2495851
  • brainly.com/question/5069437

#learnwithBrainly

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(4abc)^2(2a^2bc)(ab^3c^3)
Natasha_Volkova [10]
(4abc)^2(2a^2bc)(ab^3c^3)

= (16a^2b^2c^2)(2a^2bc)(ab^3c^3)

= 32a^5b^6c^6
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just olya [345]

Answer:

3)7/12

4)2*14/25

5)25

hope my effort will help you in some way

3 0
3 years ago
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Riley bought 30 festival tickets for his friends and paid $145.How much did each ticket cost?
Sladkaya [172]

Answer: $4.83

Step-by-step explanation:

you do 145/30=4.8333

<u>Can i please have brainliest, if not thats alright</u>

<u>Have a good day</u>

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