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andreev551 [17]
2 years ago
7

Evaluate ​2(L​+W) for L=8 and W=7.

Mathematics
1 answer:
Vladimir79 [104]2 years ago
7 0

Answer:

30

Step-by-step explanation:

"Evaluate" means to find the value. You can do this since they gave you a number value for L and W.

2(L + W),

L is 8, W is 7

= 2(8+7)

Add first because it is inside parenthesis.

= 2(15)

This means multiply.

= 30

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Solution of 4y - 2x &lt; 8<br><br>a. (0,2)<br>b. (-4,0)<br>c. (1,2)<br>d. (10,7)​
Nadusha1986 [10]

Answer:

A

Step-by-step explanation:

5 0
2 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
-1/2 + (3/4 × 4/9) = ?
likoan [24]

Answer:

-0.16666 and 6 repeats

Step-by-step explanation:

7 0
3 years ago
Simplify 13 to the second power pretty please :3
just olya [345]

13 to the second power is 169.

Hope this helps!

6 0
3 years ago
A bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty. Find the
disa [49]

Answer:

Therefore, the probability is P=1/84.

Step-by-step explanation:

We have a  bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty.

We conclude that in a bag have 9 tokens.  

We calculate the probability that the red tokens are drawn consecutively.

We calculate the number of possible combinations:

C_3^9=\frac{9!}{3!(9-3)!}=84\\\\

Number of favorable combinations is 1.

Therefore, the probability is P=1/84.

4 0
3 years ago
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