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Leona [35]
3 years ago
12

What is the exact volume of a sphere with a diameter of 18 cm? ______ cm3

Mathematics
1 answer:
sashaice [31]3 years ago
6 0


The formula for volume of a sphere is (4/3)πr², with r being the radius. Since the diameter of the sphere is 18 cm, the radius is 18/2, which is 9. Now substitute the 9 for r so you have:

V=(4/3)π*9²

V=(4/3)π*81

V=108π

108π is the exact volume of the sphere.

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Which is the correct operation for 45-3x5
Sliva [168]
You want to use PEMDAS for this.
<em>P</em>= arenthesis ( )
<em>E</em>= xponents a²
<em>M</em>= ultiply ×
<em>D</em>= ivide ÷
<em>A</em>= dd +
<em>S</em>= ubtract -

What you want to do is go in order and ask yourself as you go.
Are there any <u><em>Parenthesis</em></u>? <em>No
</em>Are there any <u><em>Exponents</em></u><em />? <em>No</em>
Is there any <em /><u><em>Multiplication</em></u><em />? <em>Yes
</em>
<em />Is there any <em><u>Division</u></em>? <em>No
</em>
<em />Is there any <em><u>Addition</u></em>? <em>No
</em>
<em />Is there any <em><u>Subtraction</u></em><u />? <em>Yes</em><em>
</em>
<em />Thats when you stop and you multiply what you have in the PEMDAS. Top to bottom. 3x5 which gives you 15. Now you equation is 45-15. Thats when you subtract and you get your answer which is 30.
6 0
3 years ago
Arlene Frank is saving money for her college
lora16 [44]
Can you please include a question please? Thank you
3 0
3 years ago
Read 2 more answers
A class of 30 is divided into 2 groups such that the size of the smaller group is 2/3 the size of the larger group. How large is
pogonyaev

Answer:

I kinda did a lil of this in my head so i might not be 100% correct, but i would say the bigger group is 20 and the smaller group is 10

6 0
3 years ago
Suppose each of the following data sets is a simple random sample from some population. For each dataset, make a normal QQ plot.
adell [148]

Answer:

a) For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

b) For this case the data is skewed to the left and we can't assume that we have the normality assumption.

c) This last case the histogram is not symmetrical and the data seems to be skewed.

Step-by-step explanation:

For this case we have the following data:

(a)data = c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

We can use the following R code to get the histogram

> x1<-c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

> hist(x1,main="Histogram a)")

The result is on the first figure attached.

For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

(b)data = c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> x2<- c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> hist(x2,main="Histogram b)")

The result is on the first figure attached.

For this case the data is skewed to the left and we can't assume that we have the normality assumption.

(c)data = c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> x3<-c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> hist(x3,main="Histogram c)")

The result is on the first figure attached.

This last case the histogram is not symmetrical and the data seems to be skewed.

7 0
3 years ago
The width of a rectangle is 3.4 feet. The perimeter is 12.6 feet what is the length
lesya692 [45]

Answer:

the answer is 2.90

Step-by-step explanation:

Picture a rectangle, if one side is 3.4 then the other side 3.4. Add those two togerther gives you 6.8. Now you can subtract 6.8 from the perimeter which is 12.6 then that gives you 5.8. Then you split the 5.8 which give you 2.90 which is the length of the rectangle. So if you label all the sides of the rectangle like this 3.4 + 3.4 + 2.90 + 2.90 = 12.6

7 0
3 years ago
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