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KIM [24]
2 years 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]2 years 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]2 years ago
5 0

Answer:

The answer is A)

Step-by-step explanation:

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Two congruent squares are shown in figures 1 and 2 below.
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Answer: The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.

Step-by-step explanation:

I‘m taking the test.

8 0
2 years ago
$53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. how much is in the accou
ella [17]

Answer:

$57,369

Step-by-step explanation:

We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.

To solve our given problem we will use compound interest formula.\

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given rate in decimal form.

2\%=\frac{2}{100}=0.02

Upon substituting our given values in compound interest formula we will get,

A=\$53,000(1+\frac{0.02}{1})^{1*4}

A=\$53,000(1+0.02)^{4}

A=\$53,000(1.02)^{4}

A=\$53,000*1.08243216

A=\$57368.90448\approx \$57,369

Therefore, an amount of $57,369 will be in the account after 4 years.

3 0
2 years ago
What is the 8th term of the binomial expansion (x + y)10?
12345 [234]

We can use the Pascal's Triangle to solve this problem. This pascal's triangle is shown in the figure below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression:

(x+y)^{10}

Can be extended as follows, for n = 10:

(x+y)^{10}=x^{10}+10x^{9}y+45x^{8}y^2+120x^{7}y^3+210x^{6}y^4+252x^{5}y^5+210x^{4}y^6+120x^{3}y^7+45x^{2}y^8+10xy^9+y^{10}

So, the 8th term of the binomial expansion is:

120x^{3}y^7

4 0
2 years ago
Maria has already written Two-fifths of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per m
Molodets [167]

Answer:in

745436

Step-by-step explanation:

Maria has already written Two-fifths of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay?

1000 times two-fifths times StartFraction 13 Over 2 EndFraction

1000 times two-fifths

4 0
2 years ago
if two points are given,then exactly one line can be drawn through those two points.which geometry term does the statement repre
lubasha [3.4K]

Answer:

This is a postulate which states that through any two points, there is exactly one line.

Step-by-step explanation:

A postulate is a statement that is assumed true without proof.

5 0
2 years ago
Read 2 more answers
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