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3 years ago

Alaina was asked whether the following equation is an identity:

Mathematics

2 answers:

jarptica [38.1K]3 years ago

6 0

Answer: yerror she made is at the level of the first step if you want me to show it to you ask me in comment

3241004551 [841]3 years ago

3 0

Answer: made a step 1 mistake

Step-by-step explanation:

the step is incorrect because the expansion of (x+1)^2 is x^2+2x+1. But since there’s a minus sign before it , all plus signs should be changed to minus.

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago

If exactly 194 people sign up for a charter flight, Leisure World Travel Agency charges $312/person. However, if more than 194 p

maw [93]

Title:

<h2>The revenue will be maximum for 253 passengers.</h2>

Step-by-step explanation:

Let, the number of passenger is x, which is more than 194.

In this case, the travel agency will charge [312 - (x - 194)] per passenger.

The total revenue will be $x[312 - (x - 194)] = 506x - x^{2}$ .

As x is the variable here, we can represent the revenue function by R(x). Hence, $R(x) = 506x - x^{2}$ .

The revenue will be maximum when $\frac{d (506x - x^{2} )}{dx} = 0\\2x = 506\\x = 253$ .

6 0

3 years ago

A triangle with side length of 4 inches, 7 inches and 10 inches is

nexus9112 [7]

Answer:

scalene

Step-by-step explanation:

also an acute triangle is something to do with angles so as long as no angles are provided, scalene is the best option

4 0

3 years ago

Find 415 of 619 in simplest form,

Finger [1]

Answer:

415/619

Step-by-step explanation:

619 is a prime number, so the fraction is in simplest form already.

8 0

3 years ago

F(X)=3x-12 what is f(2)

Vinil7 [7]

Answer:

<h3>The answer is - 6</h3>

Step-by-step explanation:

f(X)=3x-12

To find f(2) substitute the value in the bracket which is 2 into f(x)

That's

f(2) = 3(2) - 12

= 6 - 12

= - 6

Hope this helps you

4 0

3 years ago

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