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2 years ago

D(-3+x)=kx+9 solve for x

Mathematics

1 answer:

Gnesinka [82]2 years ago

5 0

d(-3 + x) = kx + 9

Distribute d inside the parentheses.

-3d + dx = kx + 9

Subtract kx from both sides.

-3d + dx - kx = 9

Add 3d to both sides.

dx - kx = 9 + 3d

Factor x out of dx - kx.

x(d - k) = 9 + 3d

Divide both sides by d - k.

x = $\frac{9+3d}{d-k}$

If you want to simplify this even more, factor 3 out of the numerator.

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2 years ago

Orange M&M’s: The M&M’s web site says that 20% of milk chocolate M&M’s are orange. Let’s assume this is true and set

SOVA2 [1]

Answer:

The correct option is (A).

Step-by-step explanation:

Let X = number of orange milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, p = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, n = 55.

The event of an milk chocolate M&M being orange is independent of the other candies.

The random variable X follows a Binomial distribution with parameter n = 55 and p = 0.20.

The expected value of a Binomial random variable is:

$E(X)=np$

Compute the expected number of orange milk chocolate M&M’s in a bag of 55 candies as follows:

$E(X)=np$

$=55\times 0.20\\=11$

It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

$P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}$

$=0.1968$

The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

Thus, the correct option is (A).

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2 years ago

A sofa is on sale for $ 364.00 , which is 35 % of the original price. What is the original price?

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Answer:

$1040

Step-by-step explanation:

Let X be the original price.

35% of X = 364

35/100 × X = 364

X = 364 × 100/35

X = 1040

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2 years ago

Read 2 more answers

A craftsman can sell 10 jewelry sets for $500 each. He knows

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Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning $=\text{Price of each set}\times \text{no of set}$

Earning $=(500-25n)(10+n)$

$E=5000+500n-25n^2-250n$

differentiate to get the maximum value

$\frac{dE}{dn}=-50n+250$

Equate $\frac{dE}{dn}$ to get maximum value

$-50n+250=0$

$n=\frac{250}{50}$

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Thus must sell 5 extra set to maximize its earnings.

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2 years ago

A polling agency reported that 66 percent of adults living in the United States were satisfied with their health care plans. The

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Answer:

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Step-by-step explanation:

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This means that we are 95% sure that the true proportion of adults living in the United States who were satisfied with their health care plans is between 0.636 and 0.684.

So the correct answer is:

A) The probability is 0.95 that the percent of adults living in the United States who are satisfied with their health care plans is between 63.6% and 68.4%.

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