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3 years ago

Which of the following values of x will make the equation 3(x – 2) – 1 = 2 – 5(x + 5) TRUE?

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

I know The answer should be B

Aleks04 [339]3 years ago

7 0

Answer:

3(×-2)-1=2-5(×+5)

3×-6-1=2-5×-25

3×+5×=2+7-25

8×=16

8×/8=16/8

×=2......x is solved

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REY [17]

Answer:

1/20 =.05

x *1.05 = 50,400

x = 48,000

Step-by-step explanation:

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3 years ago

I need help with this geomtary

AfilCa [17]

Answer:

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Step-by-step explanation:

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3 years ago

Can somebody help with questions 8 plzz‼️

pishuonlain [190]

Answer:

53,760,970 households/year

Step-by-step explanation:

First step is to do 65,929,420 - 12,168,450 = 53,760,970

Now divide 53,760,970 by 20 since the difference in 1997 and 1977 is 20

53,760,970/20 = 2,688,048.5

So each year 2,688,048.5 people got cable.

But it would be 53,760,970/year because then you could divide it by how ever many years to see how many people got cable.

Hope this helps!!

8 0

3 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

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

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