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3 years ago

Write the equation of the circle in standard form with the center located at

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer:

(x+2)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -2)^2 + (y-5)^2 = 3^2

(x+2)^2 + (y-5)^2 = 9

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A movie theater offers popcorn in two different containers for the same price. One container is a trapezoidal prism with a base

g100num [7]

Answer:

Triangular prism is better deal as the volume of triangular prism is greater.

Step-by-step explanation:

Consider the provided information.

The volume of prism is: $V=Bh$

Where B is the base area and h is the height of the prism.

It is given that the trapezoidal prism with a base area of 33 square inches and a height of 4 inches.

The volume of the trapezoidal prism is:

$V=33(4)\\V=132$

Hence, the volume of trapezoidal prism is 132 in³.

Now calculate the volume of triangular prism with a base area of 34 square inches and a height of 5 inches.

The volume of the triangular prism is:

$V=34(5)\\V=170$

Hence, the volume of the triangular prism is 170 in³.

Triangular prism is better deal as the volume of triangular prism is greater.

5 0

3 years ago

g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a

galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0

3 years ago

Help please!!! WILL GIVE BRAINLIEST!!!!!!!!!!

telo118 [61]

Answer:

640

Step-by-step explanation:

8^2 = 64

10*64 = 640

6 0

3 years ago

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Stolb23 [73]

Answer:

50 feet

Step-by-step explanation:

Perimeter is the sum of all of the lengths of the sides.

A triangle has three sides, and three lengths are given, therefore all the sides are given.

The sum of the sides is 20 + 20 + 10 = 50

So the Perimeter is 50 feet

3 0

3 years ago

Read 2 more answers

3 over 6=k over 7- find k's value

WARRIOR [948]

Step-by-step explanation:

3/6=k/7

cross multiply then

6k=21

divide by the coefficient of k

k=3.5

6 0

3 years ago