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2 years ago

Which number make this sentence true 27:45=45:x

Mathematics

2 answers:

jarptica [38.1K]2 years ago

6 0

Answer:

x = 75

Step-by-step explanation:

Let's consider the following equality.

27:45=45:x

We can write this proportion in the fractional form.

27/45 = 45/x

We can solve for x using the Cross Product Property of Proportions.

27 × x = 45 × 45

27 × x = 2025

x = 2025/27

x = 75

The unknown number that satisfies the proportion is x = 75.

PSYCHO15rus [73]2 years ago

5 0

Answer:

x = 75

Step-by-step explanation:

We can write this as a proportion

27 45

--------- = --------

45 x

We can use cross products to solve

27 x = 45 *45

Divide each side by 27

27 x/27 = 45*45 /27

x = 75

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3 years ago

1/4 divided by 2/3 show work pls

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2 years ago

In a sample of 70 stores of a certain company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi

uysha [10]

Answer:

We need at least 243 stores.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$n = 70, p = \frac{62}{70} = 0.886$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.

We need at least n stores.

n is found when M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}$