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3 years ago

The product of a number and 7, decreased by the number is equal to 42. Find the number.

1 answer:

8 0

$7$
this is the answer, its pretty simple. I'm not sure the mathematical procedures but if you plug in 7 you get 49. Then all you got to do is subtract by 7, because the question states the number is the same. So basically,
$7(7) - 7 = 42$

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Ghella [55]

Answer:

(0.059, 0.133)

Step-by-step explanation:

Sample size = n = 250

Number of units which failed the test = x = 24

Proportion of units which failed the test = $\frac{x}{n} = \frac{24}{250} =\frac{12}{125}$ = 0.096

Proportion of units which did not fail the test = q = 1 - p = 1 - 0.096 = 0.904

Confidence level = 95%

z-value for the confidence level = z = 1.96

The true proportion of the components that fail to meet the specification would be:

$(p-z\sqrt{\frac{p \times q}{n}} , p+z\sqrt{\frac{p \times q}{n}})$

Using the values, we get:

$(0.096-1.96 \times \sqrt{\frac{0.096 \times 0.904}{250}} , 0.096+1.96 \times \sqrt{\frac{0.096 \times 0.904}{250}})\\\\ =(0.059,0.133)$

Thus, 95% confidence interval estimate for the true proportion of components, p, that fail to meet the specifications is (0.059, 0.133)

4 0

3 years ago

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egoroff_w [7]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?

frosja888 [35]

Answer: 27 cm

Step-by-step explanation:

We know that the volume of a cylinder is $V=\pi r^2h$ . Since we were given the volume and radius, we can plug them in and solve for height.

$675\pi =\pi (5^2)h$ [divide both sides by π]

$675 = (5^2)h$ [exponent]

$675=25h$ [divide both sides by 25]

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Now, we know that the height is 27 cm.

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