Find the indicated probability using the venn diagram

Mathematics

1 answer:

AURORKA [14]2 years ago

4 0

Answer:

P(A n B) = 5

Step-by-step explanation:

From the venn diagram given, we can see that;

P(A) = 25

P(B) = 15

P(A n B) = 5

Thus,the correct answer of P(A n B) which is the intersection between A and B is 5

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Find the radius of a circle with a circumference of 30 units. Round your answer to the nearest tenth (1 decimal place).

Vlad [161]

Answer:

The radius would be 4.8

Step-by-step explanation:

The circumerfence of a circle can be found use the equation C=2 $\pi$ r. So since we are given the circumerce we need to rearrange the eqaution to it looks like $\frac{30}{2\pi }$ =r. when we do this out we find that the radius equals 4.8.

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2 years ago

Find an exponential function that fits the information (hint: putting them in a table may help you see).

Vilka [71]

Answer:

f(x)=8*(3.5)^x

Step-by-step explanation:

2=98

3= 98r

4= 98r^2

5= 98r^3

6= 98r^4

98r^4/98, 98 crosses out and its just r^4. r^4= 14706.125/98

r=3.5

So you plug that in and you get f(x)=8*(3.5)^x

I hope this helped. XD

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2 years ago

This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.

Ugo [173]

As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

$A_{rectangle}=a\cdot b \\A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}$

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

$A_{rectangle}=10\cdot 6=\underline{60} \\A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}$