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andreyandreev [35.5K]
3 years ago
15

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
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