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Luba_88 [7]
3 years ago
9

Two cylinders are similar with a scale factor of 1:4. Which shows the ratio of the volumes of the cylinders?

Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0
E.

It means the number on the left is going to be 3/4 smaller than the one on the right. E is the only option that shows that.
Vladimir [108]3 years ago
3 0
E. 3/12 is equivalent to 1/4, which is the ratio of the cylinders. 
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Solve for the value of n.
frosja888 [35]

Answer:

n= 27

Step-by-step explanation:

To solve first subtract the 90-degree angle:

180-90= 90

Then, convert into an equation:

3n+9= 90

Subtract 9 from both sides:

3n=81

Then divide by 3:

n= 27

Hope this helps!

6 0
2 years ago
The scores on the LSAT are approximately normal with mean of 150.7 and standard deviation of 10.2. (Source: www.lsat.org.) Queen
faltersainse [42]

Answer:

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the  scores on the LSAT of a population, and for this case we know the distribution for X is given by:

X \sim N(150.7,10.2)  

Where \mu=150.7 and \sigma=10.2

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.65   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.35 of the area on the left and 0.65 of the area on the right it's z=-0.385. On this case P(Z<-0.385)=0.35 and P(Z>-0.385)=0.65

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

Z=-0.385

And if we solve for a we got

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

5 0
3 years ago
Read 2 more answers
A wire is attached at the top of a 500 ft vertical antenna and is staked in the ground 1200 ft from the base of the antenna. how
Pie
A^2 + b^2 = c^2
(500)^2 + (1200)^2 = c^2
1,690,000 = c^2
take the square root of 1,690,000
Answer is 1,300 feet
4 0
3 years ago
What is the volume of the entire figure?<br><br> ____cm3
adelina 88 [10]

Answer:

180cm3

Step-by-step explanation:

4x12x3=144

2x2x9=36

144+36=180cm3

4 0
3 years ago
Find the length of the missing side
Sindrei [870]

Answer:

x = 9.2

Step-by-step explanation:

Use Pythagorean Theroem to find the lenght of x

a^2 + b^2 = c^2

6^2 + 7^2 = x^2

36 + 49 = x^2

85 = x^2

then find the square root of 85 which is 9.2

8 0
3 years ago
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