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nekit [7.7K]
3 years ago
8

2 A chef planning for a large banquet

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

320

Step-by-step explanation:

2 out of 5 is the ratio 2/5.

We want the denominator to become 800.

\dfrac{800}{5} = 160

160 \times 2 = 320

\dfrac{2}{5} = \dfrac{2 \times 160}{5 \times 160} = \dfrac{320}{800}

Since 2/5 = 320/800, he will need to prepare 320 cups of soup.

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In a survey of 400 randomly selected​ people, it was determined that 22 play soccer. What is the probability that a randomly sel
insens350 [35]

Answer:

5.5% probability that a randomly selected person plays​ soccer

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

People surveyed who play soccer, so D = 22

Total outcomes:

Total people surveyed, so P = 400

What is the probability that a randomly selected person plays​ soccer?

P = \frac{D}{T} = \frac{22}{400} = 0.055

5.5% probability that a randomly selected person plays​ soccer

6 0
2 years ago
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for
nataly862011 [7]

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

5 0
2 years ago
I just need help solving this problem. Also please don't put the answer into a file because I can't open them. It's also really
dem82 [27]

Answer:

<em>31° </em>

Step-by-step explanation:

5 0
2 years ago
Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46
JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

M = \frac{50463-38737}{2} = 5863

Relating the margin of error with the sample size:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.64.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

For this problem, we have that \sigma = 14300, M = 5863. So

M = z\frac{\sigma}{\sqrt{n}}

5863 = 1.645\frac{14300}{\sqrt{n}}

5863\sqrt{n} = 1.645*14300

\sqrt{n} = \frac{1.645*14300}{5863}

(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2

n = 16

The sample size was of 16.

7 0
3 years ago
You placed a 12% down payment on a new home. Given that the amount of the down payment was $42,655.12, determine the price of th
Soloha48 [4]

Answer:

355,459.33

Step-by-step explanation:

42,655.12/12 = 3554.59

3554.59*100 = 355459.33

7 0
3 years ago
Read 2 more answers
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