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ycow [4]
3 years ago
14

Find the indicated probability by using the complementation rule. A percentage distribution is given below for the size of famil

ies in one U.S. city. Size Percentage 2 39.9 3 24.4 4 20.1 5 10.8 6 3.3 7 1.5 A family is selected at random. Find the probability that the size of the family is 4 or more. Round results to three decimal places.
a. 0.156
b. 0.844
c. 0.357
d. 0.201
Mathematics
1 answer:
arlik [135]3 years ago
7 0

Answer:

The correct option is c.

Step-by-step explanation:

The percentage probability distribution is:

Size (X)      Percentage

 2                   39.9

 3                   24.4

 4                   20.1

 5                   10.8

 6                    3.3

 7                     1.5

Total             100.0

Compute the probability that the size of the family is 4 or more as follows:

P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)

              = 0.201 + 0.108 + 0.033 + 0.015

              = 0.357

Thus, the probability that the size of the family is 4 or more is 0.357.

The correct option is c.

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alexgriva [62]

Hey there! I'm happy to help!

The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.

Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.

So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)

So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.

Have a wonderful day and keep on learning! :D

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Answer:

55

Step-by-step explanation:

substitute 2 into j

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Show that det(A) = 0 without directly evaluating the determinant. A = [-4 1 1 1 1; 1 -4 1 1 1; 1 1 -4 1 1; 1 1 1 -4 1; 1 1 1 1 -
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You could interpret them as system of equation and answer the question easily

from A 

-4x + y + x + w =1

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Alex_Xolod [135]

Answer:

The midpoint is (3, 3).

Step-by-step explanation:

We are given the two points A(9, 11) and B(-3, -5).

The midpoint is given by:

\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)

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\displaystyle M =  \Big( \frac{9+(-3) }{2}, \frac{ 11+(-5) }{2} \Big) = (3,3)

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We want to show that AM = MB.

We can use the distance formula:

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So, AM = MB = 10.

Since AM = MB = 10, AM + MB = 10 + 10 = 20.

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