What is 21 divided by something =7

5. A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is appro

Temka [501]

Answer:

the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

Where r = radius or the length of the radius

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 × π × r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛(3V/4π) = r

Substituting our given values in the question, we have:

∛(3 × 3052.08/ 4 ×3.14) = r

r = ∛9156.24÷12.56

r = ∛729

r = 9cm

Therefore, the length of the radius of the Earth Model = 9cm

7 0

3 years ago

A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend

Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b² + (5 + x)²...............(1)

using similarity of triangle

$\dfrac{x}{6}=\dfrac{5+x}{b}$

$b=\dfrac{5+x}{x}6$

from equation (1)

$L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2$

$= (5+x)^2(1+\dfrac{36}{x^2})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})$

for maxima or minima

$\frac{\mathrm{d} L^2}{\mathrm{d} x}=0$

x = -5 and x = ∛190 = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0

3 years ago

A medical researcher is working on a new treatment for a certain type of cancer. The average survival time after diagnosis for t

Nitella [24]

Answer:

The suitable results are:

Option A: The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error.

Option D: Inasmuch there is no statistical evidence to accept the null hypothesis. The null hypothesis could be true and there is no difference between the new and standard treatments survival rate.

Explanation:

Below are the options suitable for results:

Option A: The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error - Reason been that, as the sample size increase, so also does the power of the test increase. Therefore, because the power is too small, the researchers are likely to commit type 2 error.

Option D: Inasmuch there is no statistical evidence to accept the null hypothesis. The null hypothesis could be true and there is no difference between the new and standard treatments survival rate.

4 0

4 years ago

Which composite number does this prime factor tree represent?

kirza4 [7]

Answer:

500

Step-by-step explanation:

please mark me as brainlest

3 0

3 years ago

2.5.3 Quiz Inverse Functions Question 2 of 10 f (1) x+ 10. Find the inverse of (x)

Vanyuwa [196]

Answer:

f^-1 (x) = x - 10...........

5 0

3 years ago