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4 years ago

If the average of 3,5 and m is 10, what is the value of m?

Mathematics

2 answers:

yKpoI14uk [10]4 years ago

3 0

10 = (3 + 5 + m) / 3 (by the definition of the average)

8 + m = 3*10
m = 30 - 8

m = 22 answer

Nataly [62]4 years ago

3 0

To find the average add up all the numbers and divide the total by the amount of numbers you added up.

Your equation would look like: $\frac{3 + 5 + m}{3} = 10$

$\frac{8 + m}{3} = 10$

Multiply both sides by 3.

8 + m = 30

Subtract 8 from both sides.

$\boxed {m = 22}$

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algol [13]

Answer: B) F(x) = √x and G(x) = 3x + 2

Step-by-step explanation:

The composite function G(F(x)) is when you replace every x-value in the G(x) function with the F(x) function.

$A)\ G(3x+2) = \sqrt{3x+2}\\\\B)\ G(\sqrt{x})=3(\sqrt{x})+2\quad =3\sqrt{x}+2\\\\C)\ G(\sqrt{x}+2) = 3\quad \text{there are no x-values in the G(x) function to replace}\\\\D) G(3\sqrt{x})=2\quad \text{there are no x-values in the G(x) function to replace}$

The only one that matches G(F(x)) = 3√x + 2 is OPTION B

5 0

4 years ago

A circular running track is ¼ mile long. Elena runs on this track, completing each lap in 1/16 of an hour. What is Elena’s runni

AVprozaik [17]

Given that,

A circular running track is ¼ mile long.

Elena runs on this track, completing each lap in 1/16 of an hour

To find,

Elena’s running speed.

Solution,

Formula used :

Speed = distance/time

$v=\dfrac{\dfrac{1}{4}}{\dfrac{1}{16}}\\\\=\dfrac{1}{4}\times 16\\\\=4\ mph$

So, Elena’s running speed is 4 mph.

3 0

3 years ago

Box of cereal contains 23.4 ounces. Cost $5.49. What’s the cost per ounce?

Sedaia [141]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

4 years ago

An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations

grin007 [14]

Answer:

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

F(x) 0.17 0.04 0.65 0.91 1

Step-by-step explanation:

Given that;

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;

x F(x)

0 P(X = 0) = 0.17

1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4

2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

F(x) 0.17 0.04 0.65 0.91 1

8 0

3 years ago