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notsponge [240]
1 year ago
14

If mAD=85 degrees and mBC=31 degrees find the value

Mathematics
1 answer:
Eddi Din [679]1 year ago
7 0
Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation:  122 = 13x - 21

Solve this, to find the x = 11.
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A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
marysya [2.9K]
The answer to this question would be:
<span>The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
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In this problem, there are 9,000 bees and the amount is decreased 5% each year. Decreased 5% would be same as become (100%-5%=)95% each year. Then the function should be like:
f(x)= 9,000 * 95%^ x= 9,000 * 0.95^x

If you put X=2 and X=4 the result would be: 
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6 0
1 year ago
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The cost of an item is 100% of its price. What number goes in place of ? in the addition problem?
Dmitry_Shevchenko [17]
I believe this is the complete problem. 

<span>Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without the tax? The cost of an item is 100% of its price. What number goes in place of ? in the addition problem?
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The answer is the below:

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8 0
1 year ago
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\text{Answer} : \text{The expected value of a t-shirt is \$31.}

Explanation:

Since we have given that

The prices of three t-shirts styles  i.e $24, $30, $36 with their probability is given by

\frac{1}{6}, \frac{1}{2},\frac{1}{3}

As we know that,

E(X)= \sum_{1}^{3}x_iP(x_i)

\text{where} x_i \text{ is the prices of t- shirts styles}

Now,

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and

P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}

So,

E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31

So, the expected value of a t-shirt = $31.

4 0
2 years ago
if owen has a collection of nickels and quarters worth $8.10. if the nickles were quarters and the quarters were nickels, the va
sp2606 [1]
We can model this situation as a system of linear equation, where n is the number of nickels and q is the number of quarters.

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