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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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A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi
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Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

7 0
2 years ago
The Metro theater has 20 rows of seats with 18 seats in each row Tickets cost $5 The theaters income in dollars if all seats are
Olin [163]
Answer: $1800

The theater income will be the total of audience multiplied by the ticket cost.  To answer this question, you need to determine the total audience count. Assuming all the seats are occupied then:
Total audience= row of seats x seats/ row = 20x18 people = 360 people

After that the income would be:
Income = audience x ticket cost
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3 0
1 year ago
Use the distributive property to simplify 4(2p+4q+6)
cestrela7 [59]
<span>4(2p+4q+6)

You need to multiply 4 by each variable in the parentheses.
(4*2p) + (4*4q) + (4*6)

8p + 16q + 24 is the answer.</span>
8 0
2 years ago
Read 2 more answers
Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, an
Naddik [55]

Answer: D

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determi
MariettaO [177]

Answer:

The probability that Isaiah will make both penalty kicks is 25%.

Step-by-step explanation:

We are given that Isaiah scores with 50% of his penalty kicks in soccer.

He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks.

The above situation can be represented through binomial distribution;

P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

where, n = number of trials (samples) taken = 2 penalty kicks

           r = number of success = make both penalty kicks

           p = probability of success which in our question is probability  

                 that Isaiah scores with his penalty kicks, i.e; p = 50%

Let X = <u><em>Number of penalty kicks made by Isaiah</em></u>

So, X ~ Binom(n = 2 , p = 0.50)

Now, Probability that Isaiah will make both penalty kicks is given by = P(X = 2)

                     P(X = 2) =  \binom{2}{2} \times 0.50^{2} \times (1-0.50)^{2-2}

                                   =  1 \times 0.50^{2} \times 0.50^{0}

                                   =  <u>0.25 or 25%</u>

Hence, the probability that Isaiah will make both penalty kicks is 25%.

8 0
2 years ago
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