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3 years ago

What is the volume of this sphere? 12r cm^3 36r cm^3 288r cm^3 864r cm^3.

Mathematics

1 answer:

yan [13]3 years ago

5 0

Answer:

904.78 cm^3

Step-by-step explanation:

volume of a sphere equation:

volume = 4/3πr^3

plug n chug:

volume = 4/3 × π × 6^3

volume = 4/3 × π × 216

volume ≈ 904.78 cm^3

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Need to find what x and y equals

dexar [7]

The two angles with x in them are the same. Set them equal to each other and solve for x:

4x-5 = 3x + 11

Add 5 to both sides:

4x = 3x +16

Subtract 3x from both sides:

x = 16

Now solve for the angle next to y:

4x - 5 = 4(16) -5 = 64 -5 = 59

Y + 59 make a straight line and equals 180, so subtract 59 from 180 to get y:

y = 180 - 59 = 121

Answers:

X = 16, y = 121

8 0

3 years ago

L=U²A divided by (A+B)² make A the subject of formular

nikklg [1K]

Answer:

A = [- 2Bl + U^2 +/- √((2BL - U^2)^2 - 4B^2L^2) ] / 2L

Step-by-step explanation:

L = U^2A / (A + B)^2

U^2 A = L(A^2 + 2AB + B^2)

U^2 A = LA^2 + 2ABL + B^2L

LA^2 + 2ABL - U^2A + B^2 L = 0

LA^2 + (2BL - U^2)A + B^2L = 0

Using the quadratic formula

A = [- (2BL - U^2) +/- √[(2BL - U^2)^2 - 4*L*B^2L] / 2L

A = [- 2BL + U^2 +/- √[(2BL - U^2)^2 - 4B^2L^2) ] / 2L

6 0

2 years ago

What does 5 over 100 =

Nuetrik [128]

You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:

$\frac{5}{100}$

To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.

In this case, to find the GCF, you need to:

- Decompose the number into their Prime Factors:

$\begin{gathered} 5=5 \\ 100=2\cdot2\cdot5\cdot5=2^2\cdot5^2 \end{gathered}$

- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:

$GCF=5$

Therefore, by dividing the numerator and the denominator by 5, you get:

$=\frac{1}{20}$

Hence, the answer is:

$=\frac{1}{20}$

8 0

8 months ago

The probabilities that a customer selects 1, 2, 3, 4, or 5 items at a store are 0.32, 0.12, 0.23, 0.18, and 0.15, respectively.

Andrew [12]

Answer:

a. This is a probability distribution as ∑pi=1

b. 2.72

c. 1.45

Step-by-step explanation:

a. To verify the probability distribution we simply add all given probabilities and see whether they sums up to 1 or not. According to definition of probability distribution sum of probabilities should be 1 so,

∑pi=0.32+0.12+0.23+0.18+0.15=1

Hence it is verified that given distribution is a probability distribution.

b. Mean number of items selected= E(x)= ∑x*p(x)

here x =1,2,3,4,5 and p(x)=0.32,0.12,0.23,0.18,0.15.

mean number of items=1*0.32+2*0.12+3*0.23+4*0.18+5*0.15=2.72

c. standard deviation of number of items=sqrt[(∑x²*p(x))-(∑x*p(x))²]

∑x²*p(x)=1*0.32+4*0.12+9*0.23+16*0.18+25*0.15=9.5

(∑x*p(x))²=(2.72)²=7.4

standard deviation of number of items=sqrt[(∑x²*p(x))-(∑x*p(x))²]=sqrt(9.5-7.4)=sqrt(2.1)=1.45

6 0

3 years ago

1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable.

kogti [31]

Squash = s
zucchini = z

5s+2z = 1.32 ---(1)
3s+z = 0.75 ----(2)

2*(2); 6s+2z = 1.50 ---(3)
(3)-(1); s = 1.50-1.32= 0.18
then 3s + z = 0.75
3(0.18) + z = 0.75
0.54 + z = 0.75
so z = 0.75 - 0.54 = 0.21

so that the cost of squash is $0.18 and the cpst of zucchini is $0.21

4 0

3 years ago

What is the volume of this sphere? 12r cm^3 36r cm^3 288r cm^3 864r cm^3.​

What is the volume of this sphere? 12r cm^3 36r cm^3 288r cm^3 864r cm^3.