4 years ago

22 more than four times a number is less than 82 (Inequality equation)

Mathematics

1 answer:

Tanzania [10]4 years ago

5 0

22^4c-82. Is the equation I think you are looking for.

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What is the length of the hypotenuse of right UVW shown?

photoshop1234 [79]

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Step-by-step explanation:

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3 years ago

On the 20th of every month, everything at Kohl's is on sale for 20% off the original price. On December 20th Tommy bought a scar

Andrews [41]

Answer:

Step-by-step explanation:

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3 years ago

I'm doing easy math but i don't remember learning this so heres the question.

omeli [17]

Total measure is 180

x is 2nd and y is 3rd angle
2nd is 4 times 3rd angle
x=4y

total is 180

20+x+y=180
x=4y
20+4y+y=180
20+5y=180
minus 20 both sides
5y=160
divide by 5
y=32

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4 years ago

Consider a bettering game where you bet $10 and have a probability of 0.45 of getting $20 back ($10 more than you started with)

Marina CMI [18]

Answer:

(a)

$f(x) = P(X=x) = \begin{Bmatrix} 0.45 \,\,\, \text{for} \,\,\, x = 10 \\ 0.55 \,\,\, \text{for} \,\,\, x = -10 \end{matrix}$

(b)

-1

(c)

Step-by-step explanation:

(a)

Your random variable will have two possible values, 30 and 0, one of them with a probability of 0.45 and the other one with a probability of 0.55. Therefore it looks like this.

$f(x) = P(X=x) = \begin{Bmatrix} 0.45 \,\,\, \text{for} \,\,\, x = 10 \\ 0.55 \,\,\, \text{for} \,\,\, x = -10 \end{matrix}$

(b)

The expected value of this PMF would be

$E[X] = -10*0.55+10*0.45= -1$ therefore on average you will have a dollar less.

(c)

For this one, if you play 20 times and your initial amount is 50$ then you have to compute the following expectation.

$E[50+20*X] = 50+20*E[X] = 50-20 = 30$

7 0

3 years ago

A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse

balu736 [363]

Pythagorean Theorem .. 2.2^2 + 16.8^2 = c^2
287.08^2 = c^2
16.9 = c

This is the approximate distance from the boat to the town.

5 0

3 years ago