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mr Goodwill [35]
2 years ago
12

Find the value of each variable. If your answer is not an integer, express it in simplest radical form.

Mathematics
1 answer:
Butoxors [25]2 years ago
5 0
Recognize that these are isosceles right triangles, so the legs are equal and the hypotenuse is √2 times the leg length.

1. x=9, y=9√2

3. x=20, y=20√2
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Your grandparents send you a check for $150 for your birthday. You deposit the check into your savings account which has a balan
NNADVOKAT [17]
313.75 I believe that is the correct answer or som
4 0
2 years ago
On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production emp
Katyanochek1 [597]

Answer:

a) 60%

Step-by-step explanation:

This problem can be solved through binomial probability

Let's say probability of success is the probability of absent

p = 5% = 0.05

Probability of failure

q = 1-p = 0.95

The number of trial in this case is the number of employees randomly selected

n = 10

Since we are looking for 0 absent employee, we are looking for the probability that the success is nil (i.e 0)

x = 0

Binomial therorem

B(n,x,p) = B(10,0,0.05)

= C(10,0) * p^x * q^(n-x)

= 1 * (0.05^0) * (0.95^10)

= 1 * 1 * 0.95^10

= 0.59873693923

= 0.6 or 60%

6 0
2 years ago
2. A boy and his father played 26 games of checkers. For every game the boy lost, he gave his father 5 cents. For every game the
trasher [3.6K]

Answer: the boy won 10 games

Step-by-step explanation:

Let's call B as the number of games won by the boy, and F as the number of games won by the father.

We know that, there is a total of 26 games:

B + F = 26.

We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:

B*8 + F*(-5) = 0.

Then we have a system of equations:

B + F = 26

8*B - 5*F = 0.

The first step is isolating one of the variables. Let's start isolating F in the first equation:

B + F = 26

F = 26 - B.

Now we can replace this in the second equation:

8*B - 5*F = 0

8*B - 5*(26 - B) = 0

8*B + 5*B - 5*26 = 0

13*B = 5*26

B = 5*26/13 = 5*2 = 10

So the boy won 10 games (then the father won the other 16 games)

7 0
2 years ago
David bought a baseball card for $40. the value of the card increased by 25%. what is the new value of the card?
kenny6666 [7]

Answer:

65 i think

Step-by-step explanation:

5 0
2 years ago
Given the graph below, find GH.
Alex777 [14]

Answer:

GH = 6.3 (nearest tenth)

Step-by-step explanation:

Given:

G(-2, -3)

H(0, 3)

Required:

Distance between point G and H = GH

Solution:

Distance between G(-2, -3) and H(0, 3):

GH = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

G(-2, -3) = (x_1, y_1)

H(0, 3) = (x_2, y_2)

GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2}

GH = \sqrt{(2)^2 + (6)^2}

GH = \sqrt{4 + 36} = \sqrt{40}

GH = 6.3 (nearest tenth)

3 0
2 years ago
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