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3 years ago

A car loses a quarter of its value every year. It is

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

Answer:

Step-by-step explanation:

This is an exponential equation of the form

$A=ar^2\text{ where a is the initial value r is the rate and t is the time.}\\ \\ A=35000(0.75)^8\\ \\ A\approx \$ 3504$

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4 years ago

What is the point of origin on a number line

s344n2d4d5 [400]

(0,0) is the origin
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4 years ago

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A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

Coefficient Standard Error

Intercept 25675.5 11393

x 5321 2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of β you can calculate the two tailed t test using the formula:

$t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } }$ ~ $t_{n-2}$

$t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } }$ = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated $t_{H_0}$ under the distribution $t_{98}$

p-value < 0.00001

I hope it helps!

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3 years ago

Will give 20 and mark brainliest if you give explanation and answer

elena55 [62]

Answer:

$part \: a. = \boxed{2 \frac{2}{3} } \\ part \: b. = \boxed{ \$8}$

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3 years ago

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If the store currently charges a price of $50, then increases that price to $60, what happens to total revenue from shoe sales (

Goryan [66]

Answer:

<h2>Revenue will decrease</h2>

Step-by-step explanation:

Note: the question did not provide the quantity to work with, so we will assume some values, say quantity Q= 30

Generally, it is normal for the revenue to decrease when the price of a commodity increase, this is so that buyer will have to react to adjust to the change in price.

When price increase from $50 to $60, the total revenue will decrease

let say the quantity Q1=30 , and the new quantity after price increase is Q2=20

1. The revenue PxQ before price change will be

PxQ= P1xQ1=50*30

PxQ= $1500

1. The revenue PxQ after price change will be

PxQ=P2xQ2= 60*20

P2xQ2= $1200

This clearly shows that based on the assumed data, the total revenue will drop from1500 to 1200, a total of $300 in a decrease

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3 years ago