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noname [10]
2 years ago
7

Find the length of the base indicated for each trapezoid

Mathematics
1 answer:
evablogger [386]2 years ago
5 0
Explain why dosea mountain climber needs an oxygen supply at very high altitude even through the air still contains 21% oxygen
You might be interested in
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
2 years ago
I don't know how to do these i need help ASAP plz
Eva8 [605]
Plug the x value into the x value for your questions.

8.) -57
9.) -2
5 0
2 years ago
Pat’s Potato Farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegetable stand. The owner of the vegetabl
madam [21]

Answer:

14

Step-by-step explanation:

I first multiplied 490 by 3/7

giving me 1470/7

I divide 1470 by 7 giving me 210

As I got 210

I multiplied 210 with 2 and got 410/3

I divided 410 by 3, getting 140.

It then said half of what was delivered was put into 5 pound bags, so

140× 1/2 or 140÷2 is 70

70 divided by 5 is 14

They made 14 5-pound bags.

3 0
3 years ago
A circular swimming pool is 24 ft in diameter what is the circumference of the swimming pool
emmainna [20.7K]

Answer

≈75.36ft

Step-by-step explanation:

C=2πr

C=24π

C≈75.3982

Or, if you substitute π with 3.14 instead:

C=2(3.14)r

C=6.28(12)

C=75.36

Hope this helps!  Tell me if you have any questions!

3 0
3 years ago
A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid
MA_775_DIABLO [31]

Answer:

She will be paid $1,350

Step-by-step explanation:

Let the flat rate be $x and the fixed percentage be y% = y/100

Thus, her payment per month will be

x + (y% of monthly amount) = Payment

For the 1st month, her pay calculations will look like this;

x + y/100 *(16,000) = 1,600

x + 160y = 1600 •••••••••(i)

For the month before the last, her calculations would be;

x + y/100(12,000) = 1,400

x + 120y = 1,400 ••••••••(ii)

It is these two equations that we now solve simultaneously.

We can directly get this by subtracting equation ii from i

That would be;

(x-x) + (160y-120y) = (1600-1400)

40y = 200

y = 200/40

y = 5%

To get x, we can substitute in any of the equations

Let us use equation ii

x + 120(5) = 1,400

x + 600 = 1,400

x = 1,400-600

x = $800

Thus, for $11,000 , the equation will be as follows;

x + (y% of amount) = payment

= $800 + (5/100 * 11,000) = $800 + $550 = $1,350

4 0
3 years ago
Read 2 more answers
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