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3 years ago

A number greater than 40 whose prime factorizations contains 3 prime numbers that do not repeat

Mathematics

1 answer:

max2010maxim [7]3 years ago

6 0

The answer is 70. 2 x 5 x 7 = 70

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.634 a rational number

Andrew [12]

It is a rational number, because it's a terminating decimal and as such can be expressed as a fraction the numerator and the denominator of which are integers.

4 0

3 years ago

Arrange the cones in order from least volume to greatest volume. a cone with a diameter of 20 units and a height of 12 units a c

Gekata [30.6K]

Answer:

Step-by-step explanation:

The volume of a cone can be found with the following equation:

$V = \frac{\pi r^{2}h}{3}$

where $r$ is the radius of the base and $h$ is the height of the cone.

For the cone with diameter of 20 units and height of 12 units, the volume is the following:

$V = \frac{\pi(10)^{2}(12)}{3}$

$V = \frac{1200\pi}{3}$

$V = 400\pi$

For the cone with diameter of 18 units and height of 10 units, the volume is the following:

$V = \frac{\pi(9)^{2}(10)}{3}$

$V = \frac{810\pi}{3}$

$V = 270\pi$

For the cone with diameter of 20 units and height of 12 units, the volume is the following:

$V = \frac{\pi(10)^{2}(9)}{3}$

$V = \frac{900\pi}{3}$

$V = 300\pi$

5 0

3 years ago

A researcher is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample

DerKrebs [107]

Answer:

The test statistic for this hypothesis test for a proportion is z=1.90.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the unemployment rate is less than 5%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.05\\\\H_a:\pi$

The sample has a size n=1500.

The sample proportion is p=0.061.

$p=X/n=92/1500=0.061$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.05*0.95}{1500}}\\\\\\ \sigma_p=\sqrt{0.000032}=0.0056$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.061-0.05-0.5/1500}{0.0056}=\dfrac{0.0107}{0.0056}=1.90$

8 0

4 years ago

on Wednesday, miguel's bank a count balance was less than that. use absolute value to describe miguel's balance on Thursday as a

riadik2000 [5.3K]

What was it less than, any absolute value is like a whole number, so yeah

4 0

4 years ago

Please help me with this question thanks. PLEASE I REALLY NEED HELP ON THIS PROBLEM

arlik [135]

Step One

Find the area of the base

A = s * s

s = 755.5 feet

Area = 755.5^2

Area = 570780.25 square feet.

Step two

Multiply the volume by 3

V = 1/3 B * h

3*V = B * h

V = 85600000

85600000 * 3 = B * h

256800000 = B * h

Step Three

Divide by B

B = 570780.25

256800000 = 570780.25 * h

256800000 / 570780.25 = h

449.91 feet = h

3 0

3 years ago