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3 years ago

Which container holds the most?

1 answer:

6 0

Cylinder:

V = pi * r^2 * h

V = 3.14 * 9^2 * 11

Simplify exponent:

V = 3.14 * 81 * 11

Multiply:

V = 2797.74

Sphere:

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 9^3

Simplify exponent:

V = 4/3 * 3.14 * 729

Multiply:

V = 3052.08

Cone:

V = 1/3 * pi * r^2 * h

V = 1/3 * 3.14 * 12^2 * 20

Simplify exponent:

V = 1/3 * 3.14 * 144 * 20

Multiply:

V = 3014.4

So the Sphere holds the most.

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G(x) = - 3x - 8 g (____) =10

Alex73 [517]

Answer: 6

-3x-8=10
-3x=18
x=6

When g(x) is equal to 10, x is equal to 6. So, g(6)=10

7 0

3 years ago

Please help . I’ll mark you as brainliest if correct!!!!!

topjm [15]

Answer:

Step-by-step explanation:

pls find below

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3 years ago

The label on Emma's muffin said that one serving provided 6 grams of fat, which is 10% of the recommended daily amount. What is

valentina_108 [34]

0.6 because 6 divided by 10% is 0.6

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3 years ago

Maile is walking around a circular track. if the radius is 100m, how far did she walk if she is 1/3 the way around

Stolb23 [73]

The full length of the circumference is
C = 2πr
C = 2π*100 m ≈ 628.32 m

1/3 that distance is (628.32 m)/3 ≈ 209.44 m

Maile walked about 209.4 m.

7 0

3 years ago

Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter

sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events A and B are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

$P(A\cap B)=0$

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0$

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, $P(A\cap B)=0$ .

Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, $P(A\cap B)=P(A)\times P(B)$ .

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that $P(A\cap B)=0$ .

Now compute the value of $P(A)\times P(B)$ as follows:

$P(A)\times P(B)=0.30\times 0.40=0.12\neq 0$

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0

3 years ago