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3 years ago

Solve for V . -2(v+1)=3v-17 Simplify your answer as much as possible.

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

Answer:

v = 3

Step-by-step explanation:

You can start by distributing -2:

-2v - 2 = 3v -17

Next, add 2v to both sides to combine the v terms:

-2v - 2 = 3v - 17

+2v +2v

-2 = 5v - 17

To isolate the v term, we add 17 to both sides:

-2 = 5v - 17

+17 +17

15 = 5v

Lastly, divide by 5 to get v:

15 = 5v

÷ 5 ÷5

3 = v --> v = 3

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3 years ago

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Anni [7]

Answer:

x=16

Step-by-step explanation:

First, minus 80 from 180 because the sum of all the angles in a triangle is 180. Then use linear equations. 100=(4x-4)+(0.5x+32)

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3 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

4 years ago

The height of a distance marker is 8 2/13 feet. 4/5 of the pole is painted white and rest is painted blue. How much of the pole

Mashcka [7]

1) Convert the mixed number 8 and 2/13 into a fraction:

8 and 2/13 = 8 + 2/13 = (8*13 + 2) / 13 = 106 / 13

2) Calculate 4/5 of 106 / 13

(4 / 5) * ( 106 / 13) = (4*106) / (5*13) = 424 / 65

That is (390 + 34) / 65 = 390/65 + 34/65 = 6 + 34/65 is painted white

3) Calculate the rest

(1/5) * (106 / 13) = 106 / 65 = 1 + 41/65 is painted blue

6 0

3 years ago

the city of brice is planning to build a skate park. An architect designed the area shown at the right. in the plan, the perimet

Amiraneli [1.4K]

The actual skate park's perimeter is 130 inches.

Explanation:

Step 1; Assume the initial garden has a width of y inches. It is given that the length is 25 inches. The perimeter of any given rectangle is twice the sum of the length and the width of the same rectangle. The initial perimeter is given as 80 inches.

Perimeter = 2 × (length of the rectange + width of the rectangle).

80 = 2 × (25 + y), 40 = 25 + y, y = 40 - 25 = 15

So the initial park has a width of 15 inches.

Step 2; Now we calculate the actual skate park's perimeter. The length is given as 50 inches and the width was found to be 15 inches.

Perimeter = 2 × (length of the rectange + width of the rectangle).

Perimeter = 2 × (50 + 15) = 2 × 65 = 130 inches.

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3 years ago