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3 years ago

Answer this question for please!Describe the steps.Thanks!

Mathematics

1 answer:

GREYUIT [131]3 years ago

4 0

1. 75/300 = x/48 (your proportion)
2. x= 12

3. 30/240 = x/24 (your proportion)
4. x= 3

Your answer would come out to 15 miles total.

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

Bas_tet [7]

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

7 0

2 years ago

X=4y-5<br> 2x+3y=23<br> Solve using the substitution method

jenyasd209 [6]

Answer:

x =7, y = 3

Step-by-step explanation:

We substitute the value of x in terms of y (given) into the equation.

Then we solve for y and plug in the value of y back into the equation for the value of x to find x.

3 0

3 years ago

Vince has a movie rental gift card that start with $50 on it. Each movie he rents costs him $4.

Leto [7]

Linear function: d = -4m+50 (that's a negative 4 btw)

Slope: -4

y-intercept: 50

I'm truly sorry but I forgot how to do the last one :(

5 0

3 years ago

Read 2 more answers

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

⠀

${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

⠀

Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

3 0

2 years ago

An animal shelter spends $3.00 per day to care for each bird and $8.50 per day to care for each cat. Kayla noticed that the shel

Lady bird [3.3K]

$123 = ($3b + $8.50c)

b + c = 30

b = 24 birds ($72)
c = 6 cats ($51)

51+72=123

There were 24 birds at the shelter on Tuesday.

8 0

3 years ago

Read 2 more answers