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3 years ago

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Please help! Will give brainliest!

1 answer:

Maurinko [17]3 years ago

8 0

Let ABC be the triangle (with A as summit) and BC its base which is at the same time the diameter of the semi-circle. Let AH be the altitude of ABC.

Length of the Base BC (which is also the diameter of the semi circle) = 4 units and consequently the radius = 2 units
Length of the altitude AH = 5 units, hence:
a) the Area of ABC = (Base x Altitude)/2 = (4 x 5)/2 = 10 units²
b) the area of the semi circle is: (π x R²)/2 = (π x 2²)/2 = 6.28 units²

Total area = 16.28 units²

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According to government data, 75% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women

blagie [28]

Answer:

We are given that According to government data, 75% of employed women have never been married.

So, Probability of success = 0.75

So, Probability of failure = 1-0.75 = 0.25

If 15 employed women are randomly selected:

a. What is the probability that exactly 2 of them have never been married?

We will use binomial

Formula : $P(X=r) =^nC_r p^r q^{n-r}$

At x = 2

$P(X=r) =^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=2) =\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{13}$

$P(X=2) =8.8009 \times 10^{-7}$

b. That at most 2 of them have never been married?

At most two means at x = 0 ,1 , 2

So, $P(X=r) =^{15}C_0 (0.75)^0 (0.25^{15-0}+^{15}C_1 (0.75)^1 (0.25^{15-1}+^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=r) =(0.75)^0 (0.25^{15-0}+15 (0.75)^1 (0.25^{15-1}+\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{15-2})$

$P(X=r) =9.9439 \times 10^{-6}$

c. That at least 13 of them have been married?

P(x=13)+P(x=14)+P(x=15)

$={15}C_{13}(0.75)^{13} (0.25^{15-13})+{15}C_{14} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=\frac{15!}{13!(15-13)!}(0.75)^{13} (0.25^{15-13})+\frac{15!}{14!(15-14)!} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=0.2360$

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3 years ago

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GuDViN [60]

Answer:

I'm pretty sure its 38°

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There were 3 adults and 9 children on the bus. What was the ratio of adults to children? Enter your answer in reduced form.

stiks02 [169]

Answer:

1:3

Step-by-step explanation:

I think i am right but I might not be hope this helps

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A submarine sandwich 1.5feet long is cut into 0.25 foot pieces. how many pieces will there be?

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There would be 6 pieces.

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A 3x4x5 rectangular cuboid (e.g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sid

Anton [14]

Answer:

8 cubes are painted on 3 sides

24 cubes are painted on 2 sides

22 cubes are painted on 1 sides

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3 years ago