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3 years ago

14 is 28% of what number

2 answers:

8 0

'is' in mathematics means the equal sign
'of' in mathematics means the multiplication sign
the number can be any variable you chose it to be

$14 = \frac{28}{100} \times x$

Divide both sides by 28

$\frac{1}{2} = \frac{x}{100}$

Multiply by 100 on both sides to isolate 'x'

$\boxed{\bf{x=50}}$

14 is 28% of 200

4vir4ik [10]3 years ago

8 0

14 is 28% of 50.

Change your percentage into a decimal: 28%/100 = 0.28
Now divide it by 14: 14 ÷ 0.28 = 50 <-- our answer.

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Helpppppppppppppppppppppppppppppppppppppppppp

zimovet [89]

Answer:
First choice is the correct one

Explanation:
The given is:
[(x+5) / (x+2)] - [(x+1) / x(x+2)]
First, we will need to have a common denominator and then we will solve the subtraction normally. To get a common denominator, we will have to multiply both numerator and denominator of first term by x.

Therefore:
[(x+5) / (x+2)] - [(x+1) / x(x+2)] = [x(x+5) / x(x+2)] - [(x+1) / x(x+2)]
= [x(x+5)-(x+1)] / [x(x+2)]
= (x^2 + 5x - x - 1) / [x(x+2)]
= [(x^2 + 4x - 1)] / [x(x+2)]

Hope this helps :)

3 0

3 years ago

Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a

Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

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 samples 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 problem, we have that:

$p = 0.65, n = 153$ . So

$\mu = E(X) = 153*0.65 = 99.45$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9$

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

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

$Z = \frac{94 - 99.45}{5.9}$

$Z = -0.92$

$Z = -0.92$ has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0

3 years ago

When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumpi

elena-14-01-66 [18.8K]

Answer:

The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.

x = 1304, n = 1304 + 5689 = 6993

The level of significance = 0.01

The sample proportion of pump which is not pumping accurately can be calculated as,

The claim is that the industry representative less than 20% of the pumps are inaccurate.

The hypothesis can be constructed as:

H0: p = 0.20

H1: p < 0.20

The one-sample proportion Z test will be used.

The test statistic value can be obtained as:

$Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927$

5 0

3 years ago

Jamal pays an initial fee of $50 and $4.00 for each audio book he downloads?

olganol [36]

Answer:

4x + 50 = y

Step-by-step explanation:

Since it is $4 for each audiobook, this means that it is the slope.

Since Jamal started with an initial fee, this makes it the y-intercept.

So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y

<u>Y-intercept</u> is the starting number, in this case, the initial fee.

<u>Slope</u> is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent

6 0

2 years ago

Jesse scored 144 points this football season. He scored all his points with 50 yard field goal kicks, which are worth 3 points e

Kazeer [188]

Answer:

Jesse makes 290 points in the season

Step-by-step explanation:

I did 144+150 and that equals 290

8 0

3 years ago