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3 years ago

Need help, I did a similar problem and got it wrong soo...

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

Percent change = (new number - old number)/(old number) * 100

percent change = (54 - 48)/(48) * 100 = 6/48 * 100 = 0.125 * 100 = 12.5%

pav-90 [236]3 years ago

5 0

Hello!

You must use the percentage increase formula to solve this. The formula is:

[(Old Value - New Value / Old Value × 100]

Now use that formula to solve this:

48 - 54 / 48 × 100 = 12.5

The correct answer is J 12.5%.

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3 years ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

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3 years ago

A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coup

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3 years ago

Read 2 more answers

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3 years ago

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Alik [6]

<h2>Answer with explanation:</h2>

As per given , we have

$H_0: p\leq\dfrac{3}{4}\\\\H_a: p>\dfrac{3}{4}$

Since , alternative hypothesis is right tailed, so the test is a right tailed test.

n= 1987

Proportion of adults believe that rudeness is a worsening problem : $p=\dfrac{1257}{1987}\approx 0.6326$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$z=\dfrac{ 0.6326-0.75}{\sqrt{\dfrac{0.75(1-0.75)}{1987}}}=-12.09$

(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)

The critical value for a significance level of 0.005= 1.645

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4 years ago