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KIM [24]
1 year ago
5

Julian is a manager at a clothing store for teens. He is analyzing the order for next season. Data for the previous 10 years sug

gests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5. However, Julian thinks the average may have changed due to a recession. He finds that the last three seasons of data show that teens spent an average of $68 on a pair of jeans Therefore, he performed a hypothesis test to see if the recent average is the same. Julian used a significance level of 5% to perform the test. Which of the following statements is valid based on the results?
Mathematics
2 answers:
Black_prince [1.1K]1 year ago
5 0

Based on the results, Julian’s data shows that the recent seasons’ average jean price is not $75 is valid

<span>
To add, </span><span>the null hypothesis is rejected if the p-value is less than a predetermined </span>level, α. α is called the significance level, and is the probability of rejecting the null hypothesis given that it is true (a type I error). It is usually set at or below 5%.

zhuklara [117]1 year ago
5 0

Answer:

The answer is A)

Step-by-step explanation:

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Llana [10]

Each person gets \frac{1}{8} of whole pizza

<em><u>Solution:</u></em>

Given that Mia has \frac{1}{2} of a pizza

She divides it equally among 4 people

<em><u>To find: Fraction of a whole pizza each person gets</u></em>

From statement,

\frac{1}{2} of pizza is divided equally among 4 people

Therefore, to find the fraction of whole pizza each person gets, we can divide the \frac{1}{2} by 4 people

\text{fraction each person gets } = \frac{\frac{1}{2}}{4}\\\\\text{fraction each person gets } = \frac{1}{2} \times \frac{1}{4}\\\\\text{fraction each person gets } = \frac{1}{8}

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3 0
2 years ago
Find the quantity q that maximizes profit if the total revenue, R(q), and total cost, C(q) are given in dollars by R(q)=3q−0.002
marysya [2.9K]

Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

R(q)=3q-0.002q^{2} ---> the revenue

C(q)=200+2.2q ---> the cost

The profit  P(q) is equal to

P(q)=R(q)-C(q)

substitute the given values

P(q)=(3q-0.002q^{2})-(200+2.2q)

P(q)=3q-0.002q^{2}-200-2.2q

P(q)=-0.002q^{2}+0.8q-200

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

6 0
2 years ago
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Commutative property 3. −8.3 + (4.4 + 9.2 + 3.7)

Associative property 4. −8.3 + 17.3

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