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choli [55]
1 year ago
14

Event A: Flipping heads on a coin #1. Event B: Flipping heads on a coin # 2. What is P(A and B)? A) 1/8B) 1/6C) 1/4D) 1/2

Mathematics
1 answer:
Dafna1 [17]1 year ago
5 0

If the probability of the event A is P(A) and the probability of the event B is P(B), then the probability P(A and B) is P(A)*P(B).

Since both P(A) and P(B) are equal to 1/2, then:

P(A\text{ and }B)=P(A)\cdot P(B)=\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}

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What is the equation of the line that passes through the point (-5,7) and has a<br> slope of -1/5
RoseWind [281]

Answer:

y=-1/5x+6

Step-by-step explanation:

y-b=m(x-a)

×5) y-7=-1/5(x--5) (×5

5y-35=-1(x+5)

5y-35=-x-5

5y=-x+30

y=-1/5x+6

4 0
4 years ago
5:12 can be written as an equivalent ratio in the form 20:a what is the value of a
IgorC [24]

Answer:

20:a , a=48

Step-by-step explanation:

5*4=20, 12*4 = 48

Simple mathematics, you multiple 5 by 4 to get 20, do the same thing to 12.

5 0
3 years ago
Help meee please!!!!!!!!!!!!!!!!
slega [8]

Answer:

i think it A

Step-by-step explanation:

6 0
3 years ago
The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken
wariber [46]

Answer:

The point estimate used was of $69,821.

The error bound is of $101.

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The error bound is half the difference between these two values.

In this question:

90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922.

Point estimate:

(69720+69922)/2 = 69821

The point estimate used was of $69,821.

Error bound:

(69922 - 69720)/2 = 101

The error bound is of $101.

4 0
3 years ago
You are given a choice of taking the simple interest on $100,000 invested for 2 years at a rate of 3% or the interest on $100,00
valentinak56 [21]

Answer:

Step-by-step explanation:

the simple interest formula= principal* interest rate*time

simple interest : 100000*%2*2 years

simple interest= 4000 dollars

compound quarterly : A=principal(1+r/4)^t

since it is quarterly and have 4 quarters in a year, and 8 in two years.

compound quarterly: 100000(1+0.03/4)^8=106159.88

it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.

the difference between the interest: 6159.88-4000=2159.88

5 0
3 years ago
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