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Brums [2.3K]
2 years ago
8

Find the probability that a randomly

Mathematics
1 answer:
Alina [70]2 years ago
6 0

Answer:

31.8\%

Step-by-step explanation:

The area of the circle is A=\pi r^2=\pi(4)^2=16\pi

The area of the triangle is A=\frac{bh}{2}=\frac{8*4}{2}=\frac{32}{2}=16

Hence, the probability of a randomly selected point within the circle falls in the red shaded area is \frac{16}{16\pi}=\frac{1}{\pi}\approx0.318\approx31.8\%

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Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.
Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a_7=a_1+(7-1)d

40=a_1+6d

a_1+6d=40

a18 = 106

a_1_8=a_1+(18-1)d

a_1+17d=106

we can subtract both equations

a_1+17d-a_1-6d=106-40

11d=66

d=6

now, we can find a1

a_1+6d=40

we can plug d=6

a_1+6*6=40

a_1=4

12th term:

a_1_2=a_1+(12-1)d

now, we can plug values

a_1_2=4+(12-1)*6

a_1_2=4+66

a_1_2=70

so, 12th term is 70...........Answer

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3 years ago
Phil has 7 quarts of hot chocolate to give his class mates. how many of phils friend's can have one cup of hot chocolate
Rudik [331]
4 cups per quarter

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28 kids can have a cup of hot chocolate.
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17 − 2v = 41 solve v
anastassius [24]

17-2V=41

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The graph shows the function f(x).
Lerok [7]

The equation that represents the given data is  \RM \\f(x) = -\sqrt[3]{-x} , Option D is the correct answer.

<h3>What is a Function ?</h3>

It is a statement where two variables , one dependent and one independent are related.

It is given that

a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).

The equation given in the options are

\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}

The function goes through (8,2)

Substituting the values

f(x) = -2

f(x) = \sqrt[3]{7}

f(x) = -3

f(x) = 2

The equation that represents the given data is

\RM \\f(x) = -\sqrt[3]{-x} , Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

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