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raketka [301]
3 years ago
12

A student solved this problem and said the answer is 12 pounds. Heather had 6 3/4 pounds of apples. She bought another 5 1/2 pou

nds. She used 2 1/4 pounds in a fruit salad. How many pounds of apples does Heather have left?
Is the student's answer reasonable?  

A. Yes, the answer is reasonable.  

B. No, the answer is not reasonable. It should be about 4 pounds.  

C. No, the answer is not reasonable. It should be about 14 pounds.  

D. No, the answer is not reasonable. It should be about 10 pounds.
Mathematics
2 answers:
Nataliya [291]3 years ago
6 0
The answer is D because 6 3/4 in an improper fraction is 27/4. 5 1/2 in an improper fraction is 11/2. If you want to add 27/4 and 11/2, then you have to multiply both the numerator and denominator of 11/2. Now, 11/2 will be turned into 22/4. 27/4+22/4=49/4. Now, you have to turn 2 1/4 into an improper fraction to subtract. 2 1/4 will be turned into 9/4. 49/4 - 9/4=40/4. 40/4 is simplified to 10. So the answer is, D.


Hope that helped :)
Nataly [62]3 years ago
4 0
The answer is D. No, the answer is not reasonable. It should be about 10 pounds. I know because first I converted 5 1/2 into 5 2/4 (which is equivalent). Then I added 6 3/4 and 5 2/4 together to get 12 1/4. Then I subtracted 2 1/4 from 12 1/4 to get 10. Hope this helped!  <span />
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8 0
3 years ago
It is believed that the average starting salary for a 21-25 year old college grad exceeds $52,000 per year. Hence, it is desired
gregori [183]

Answer:

The significance level α is 0.02.

Step-by-step explanation:

A hypothesis test for single mean can be performed to determine whether the average starting salary for a 21-25 year old college grad exceeds $52,000 per year.

The hypothesis is defined as follows:

<em>H₀</em>: The average starting salary for a 21-25 year old college grad does not exceeds $52,000 per year, i.e. <em>µ</em> ≤ 52,000.

<em>Hₐ</em>: The average starting salary for a 21-25 year old college grad exceeds $52,000 per year, i.e. <em>µ</em> > 52,000.

The information provided is:

<em>σ</em> = $5,745

<em>n</em> = 65

Also, if \bar X>\$53,460 then the null hypothesis will be rejected.

Here, we need to compute the value of significance level <em>α</em>, the type I error probability.

A type I error occurs when we reject a true null hypothesis (H<em>₀</em>).

That is:

<em>α</em> = P (type I error)

<em>α</em> = P (Rejecting H<em>₀</em>| H<em>₀</em> is true)

   =P(\bar X>53460|\mu \leq 52000)

   =P[\frac{\bar X-\mu_{0}}{\sigma/\sqrt{n}}>\frac{53460-52000}{5745/\sqrt{65}}]

   =P(Z>2.05)\\=1-P(Z

*Use a <em>z</em>-table for the probability.

Thus, the significance level α is 0.02.

5 0
4 years ago
Part D
never [62]

Answer:

Step-by-step explanation:

y(t>1) = x(t) + y(t-1)\\x(t>1) = 1.2x(t-1)\\y(1) = x(1) = 100\\\\y(t>1) = 1.2x(t-1) + y(t-1)\\y(2) = 1.2x(1) + y(1) = 120+100 = 220\\y(3) = 1.2x(2) + y(2) = 144+220 = 364\\y(4) = 1.2x(3) = y(3) = 172.8+364=536.8\\

6 0
3 years ago
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5 0
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Answer:

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7 0
3 years ago
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