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sleet_krkn [62]
3 years ago
14

If the mean of the data below is 3.8 find m. x 1 2 3 4 5 6 y 2 4 7 m 6 3​

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

Answer:

m = 0.8

Step-by-step explanation:

The mean can be calculated as:

\frac{2 + 4 + 7 + m + 6 + 3}{6} = 3.8

Then, all the values can be added and the expression turns into:

\frac{22 + m }{6} = 3.8

The expression can be simplified by multiplying on both sides by 6:

\frac{22 + m }{6}*6 = 3.8*6

22 + m = 22.8

Which makes m = 0.8

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Which of the following is the the correct factorization of this trinomial.
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3 years ago
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3) An open top box is to be constructed out of a 90 inch by 70 inch piece of cardboard by cutting squares out of the corners and
Elena L [17]

Answer:

a) The volume in cubic inches is 36000

b) The volume in cubic feet is 125/6

c) The volume in cubic yard is 125/162

Step-by-step explanation:

* Lets study the information of the problem to solve it

- The dimensions of the piece of cardboard are 90 inches by 70 inches

- The side of the cutting square is 15 inches

- The squares are cutting from each corner

∴ Each dimension of the cardboard will decrease by 2 × 15 inches

∴ The new dimensions of the piece of cardboard are;

90 - (15 × 2) = 90 - 30 = 60 inches

70 - (2 × 15) = 70 - 30 = 40 inches

- The dimensions of the box will be:

# Length = 60 inches

# width = 40 inches

# height = 15 inches

- The volume of any box with three different dimensions is

V = Length × width × height

∵ The length = 60 inches

∵ The width = 40 inches

∵ The height = 15 inches

∴ V = 60 × 40 × 15 = 36000 inches³

a) The volume in cubic inches is 36000

* Now lets revise how to change from inch to feet

- 1 foot = 12 inches

∵ 1 foot = 12 inches

∴ 1 foot³ = (12)³ inches³

∴ 1 foot³ = 1728 inches³

∵ The volume of the box is 36000 inches³

∴ The volume of the box in cubic feet = 36000 ÷ 1728 = 125/6  

b) The volume in cubic feet is 125/6

* Now lets revise how to change from feet to yard

- 1 yard = 3 feet

∵ 1 yard = 3 feet

∴ 1 yard³ = (3)³ feet³

∴ 1 yard³ = 27 feet³

∵ The volume of the box is 125/6 feet³

∴ The volume of the box in cubic yard = 125/6 ÷ 27 = 125/162  

c) The volume in cubic yard is 125/162

8 0
3 years ago
Read 2 more answers
What is the equation process to this question?
Andreyy89

The given equation is h(t)=-16t^2+80t+4 where h is the height, in feet, of a ball and t is the time, in seconds.

<u>Part a: The height of the ball when t = 2 seconds:</u>

The height of the ball above the ground 2 seconds after it is released can be determined by substituting t= 2 in the equation h(t)=-16t^2+80t+4, we get;

h(2)=-16(2)^2+80(2)+4

Simplifying the terms, we get;

h(2)=-64+160+4

h(2)=100

Thus, the height of the ball after 2 seconds is 100 feet.

<u>Part b: The height of the ball when t = 4 seconds:</u>

The height of the ball above the ground 4 seconds after it is released can be determined by substituting t = 4 in the equation h(t)=-16t^2+80t+4, we get;

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Simplifying the terms, we get;

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Thus, the height of the ball after 4 seconds is 68 feet.

5 0
3 years ago
-2x - y =0 is it direct variation?​
oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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C. She earned $3 per hour for gardening than for office work. You have to find the unit rate of how much she made per hour then subtract it.

90/9=10

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13-10=3

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