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vfiekz [6]
3 years ago
9

I do this question yet get nothing close to the choices. Please help me and explain how I solve the areas.

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0
The lid is 15 by 30 so the area is 15*30 = 450 square inches

The front panel and back panel are both 30*24 = 720 square inches. The left and right panels are 24*15 = 360 square inches

Add up the front, back, left and right panel areas and we get: 720+720+360+360 = 2160

The total gray area is 2160 square inches compared to the white lid which is 450 square inches. Subtract these two values: 2160-450 = 1710

Answer: Choice B) 1710 square inches
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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

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Karen invested $2,000 in a special savings account.
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Answer:

D. $512,000

Step-by-step explanation:

Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation 2000(2^{8}). 2^8 can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!

<h2><em><u>Pls mark brainliest!</u></em></h2>
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