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3 years ago

Find the sum: 3/4 + (-3/8) + 1/2

Mathematics

1 answer:

lara [203]3 years ago

5 0

Answer: 7/8

Step-by-step explanation: Hope this helps.

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Solve for the indicated variable. 2a + 2b = c for b

AysviL [449]

Answer:

2a+2b=c

2b=c-2a

b=(c-2a)÷2

5 0

3 years ago

Please help me with this. 10 points! (Math)

Alex787 [66]

Felt appears to be right triangles

A appears to be an equilateral triangle

8 0

4 years ago

Read 2 more answers

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

A bakery offers a small circular cake with a diameter of 8 inches. It also offers a large circular cake with a diameter of 24 in

Elanso [62]

We must find the area of each cake's top.

Formula for area of a circle:

$A = \pi r^{2}$ where r is the radius.

small cake:
Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)

$A = \pi 4^{2}$

A = 16π

big cake:
Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)

$A = \pi 12^{2}$

A = 144π

So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.

This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.

Hope this helped! ^-^

7 0

3 years ago

Read 2 more answers

What is the length of segment AD.

slamgirl [31]

Answer:

AD= 5.82 units (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

*skipped these steps in the beginning:

∠ABC +∠ABD= 180° (adj. ∠s on a str. line)

90° +∠ABD= 180°