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4 years ago

A smalltown family has two children, of whom at least one is a boy. what is the chance that both children are boys

1 answer:

3 0

If we know that one of the children MUST be a boy, than I believe it is a fifty percent chance that the other child would be a boy. You have two things that can happen— one being the child being a boy and the other is it being a girl. Therefore, the answer should be 50%.

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Help pleaseeeeeeeeeeeeeeeeeee

Dominik [7]

Answer:

$Area = 98.2142857143$

$Perimeter = 39.2857142857$

Step-by-step explanation:

From the attachment, we have:

2 semicircles B and C
1 quarter circle CDE
radius, r = 5cm

To calculate the total area of the figure, we have to calculate the areas of individual shapes, then add them together

For Semicircle B

$Area = \frac{\pi r^2}{2}$

Substitute 5 for radius (r)

$A_1 = \frac{\pi * 5^2}{2}$

$A_1 = \frac{\pi * 25}{2}$

$A_1 = \frac{25\pi}{2}$

For Semicircle C

$Area = \frac{\pi r^2}{2}$

Substitute 5 for radius (r)

$A_2= \frac{\pi * 5^2}{2}$

$A_2 = \frac{\pi * 25}{2}$

$A_2 = \frac{25\pi}{2}$

For Quarter circle DC

$Area = \frac{\pi r^2}{4}$

Substitute 5 for radius (r)

$A_3= \frac{\pi * 5^2}{4}$

$A_3= \frac{\pi * 25}{4}$

$A_3= \frac{25\pi}{4}$

The area of the shape is:

$Area = A_1 + A_2 +A_3$

$Area = \frac{25\pi}{2}+\frac{25\pi}{2}+\frac{25\pi}{4}$

Take LCM

$Area = \frac{50\pi+50\pi+25\pi}{4}$

$Area = \frac{125\pi}{4}$

Take

$\pi = \frac{22}{7}$

So, we have:

$Area = \frac{125}{4} * \frac{22}{7}$

$Area = \frac{125*22}{4*7}$

$Area = \frac{2750}{28}$

$Area = 98.2142857143$

To calculate the total perimeter of the figure, we have to calculate the circumference of individual shapes, then add them together

For Semicircle B

$Circumference = \pi r$

Substitute 5 for radius (r)

$C_1 = \pi * 5$

$C_1 = 5\pi$

For Semicircle C

$Circumference = \pi r$

Substitute 5 for radius (r)

$C_2 = \pi * 5$

$C_2 = 5\pi$

For Quarter circle DE

$Circumference = \frac{\pi r}{2}$

Substitute 5 for radius (r)

$C_3 = \frac{\pi * 5}{2}$

$C_3 = \frac{5\pi}{2}$

The perimeter of the shape is:

$Perimeter = C_1 + C_2 + C_3$

$Perimeter = 5\pi + 5\pi + \frac{5\pi}{2}$

Take LCM

$Perimeter = \frac{10\pi + 10\pi + 5\pi}{2}$

$Perimeter = \frac{25\pi}{2}$

Take

$\pi = \frac{22}{7}$

So, we have:

$Perimeter = \frac{25}{2} * \frac{22}{7}$

$Perimeter = \frac{25*22}{2*7}$

$Perimeter = \frac{550}{14}$

$Perimeter = 39.2857142857$

6 0

3 years ago

multiply. (2.5×10−8)(9×10−10) express your answer in scientific notation. all of the ones with - is to the power of a. 2.25×10−1

svetlana [45]

(2.5 x 10^-8)(9 x 10^-10) = (2.5 x 9) x (10^(-8 + (-10))) = 22.5 x 10^(-8 - 10) = 2.25 x 10^1 x 10^-18 = 2.25 x 10^(1 + (-18)) = 2.25 x 10^(1 - 18) = 2.25 x 10^-17

8 0

4 years ago

Read 2 more answers

Linda received 4/5 of the votes in the votes in the election for student council president.what percent of votes did Linda recei

Mariana [72]

Answer:

80% 0.8

Step-by-step explanation:

To find the percentage out of a fraction you would divide 4÷5 to get 0.8, the decimal answer, then to turn that to a percent you would move the point two places to the right to get 80%.

6 0

4 years ago

Help me please like please

LuckyWell [14K]

Answer:

8(n-4)

Step-by-step explanation:

5 0

3 years ago

100 points

nasty-shy [4]

Answer:

your answer is a

Step-by-step explanation:

) Create a table to show the probability distribution of the variable. State the probabilities in simplest fraction form.

8 0

3 years ago