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3 years ago

Multiply 8 by the sum of 4 and 2

Mathematics

2 answers:

Fudgin [204]3 years ago

6 0

Answer:

Step-by-step explanation:

so we just have to set up this expression

it would be

8(4+2)

this would be

8(6)

this equals 48

Doss [256]3 years ago

3 0

Answer:

Step-by-step explanation:

4+2=6

8×6=48

8(4+2)

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In the New York State Numbers Lottery, you pay $1 and can bet that the sum of the numbers that come up is 13. The probability of

Harman [31]

Answer:

The expected value of profit is -0.5125. This is expected loss as value is negative.

Step-by-step explanation:

We are given the following in the question:

P(winning) = 0.075

Thus,

P(Loosing) =

$1 - 0.075 = 0.925$

If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.

Thus, we can form the probability distribution in the following manner:

Event: Winning Loosing

Profit(x): +5.50 -1

P(x): 0.075 0.925

We have to calculate the expected value of the profit.

$E(X) = \displaystyle\sum x_i(P(x_i))\\E(x) = +5.50(0.075) + (-1)(0.925)\\E(x) = -0.5125$

Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.

7 0

3 years ago

[need math help] Study buddies part #2

rosijanka [135]

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

$\displaystyle \text{Displacement}=\int_a^bv(t)\, dt$

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

$\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt$

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

$\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt$

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

$\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}$

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

$\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}$

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

$\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}$

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

$\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}$