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3 years ago

Solve for c. a(b − c)=d

Mathematics

2 answers:

Lilit [14]3 years ago

6 0

A(b - c) = d
ab - ac = d
-ac = -ab + d
ac = ab - d
ac/a = (ab - d)/a
c = (ab - d)/a

Your answer will be A. c = (ab - d)/a. Hope this helps!

Arlecino [84]3 years ago

4 0

Hello there!

a(b - c) = d
ab - ac = d
We need to add -ab to both sides
ab - ac - ab = d - ab
-ac = d - ab
To get c, we must divide both sides by -a
-ac/-a = (d - ab)/-a
c = (ab - d)/a

The correct answer is the first option.

Good luck!

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Answer:

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Step-by-step explanation:

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3 years ago

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Harrizon [31]

Answer:

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Step-by-step explanation:

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3 years ago

What is a=h(b+c) (solve for b)

frosja888 [35]

1. a=h(b+c)
2. distribute the h:
   a=hb+hc
3. move the 'hb' to the left:
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4. subtract the a from both sides:
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3 years ago

Help please!! the ones with the X’s on the question numbers do not need to be answered! :)

Naddik [55]

me need slope and y intercept to get it in y=mx+b form (slope intercept)

Slope is the

difference in y / differences in x

differences in y = 6.5 -3 = 3.5

difference in x = 2 - 1 = 1

so slope is 3.5/1 or just 3.5

(now you can see the answer is c but lets check it by getting the y intercept too)

y intercept

this is when x is 0

the lowest x we see is 1 so if I go bacl to 0 in x the y must for back 3.5

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4 years ago

Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 104 eligible vot

crimeas [40]

Answer:

The probability that exactly 27 of 104 eligible voters voted is 0.057 = 5.7%.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this case, assume that 104 eligible voters aged 18-24 are randomly selected.

This means that $n = 104$ .

Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted.

This means that $p = 0.22$

Mean and standard deviation:

$\mu = 104*0.22 = 22.88$

$\sigma = \sqrt{104*0.22*0.78} = 4.2245$

Probability that exactly 27 voted

By continuity continuity, 27 consists of values between 26.5 and 27.5, which means that this probability is the p-value of Z when X = 27.5 subtracted by the p-value of Z when X = 26.5.

X = 27.5

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

$Z = \frac{27.5 - 22.88}{4.2245}$