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yulyashka [42]
3 years ago
12

A set of elementary school student heights are normally distributed with a mean of 105 centimeters and a

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

7.5

Step-by-step explanation:

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What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?
Rudik [331]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

y - 3x = 2      Add 3x on both sides to change the equation to slope-intercept form

y - 3x + 3x = 2 + 3x

y = 3x + 2   The slope is 3, so the parallel line's slope is also 3.

Now that you know the slope, substitute/plug it into the equation

y = mx + b

y = 3x + b    To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself

1 = 3(6) + b  

1 = 18 + b     Subtract 18 on both sides to get "b" by itself

1 - 18 = 18 - 18 + b

-17 = b

y = 3x - 17    Your answer is the 1st option

8 0
3 years ago
Read 2 more answers
Labron has $15,300 of total liabilities and $52,580 of total assets.what is his net worth​
Vinvika [58]

Answer:

.......................

6 0
2 years ago
An investment of $7,650 at the rate of 5% and is compounded quarterly. What is the investment at the end of 9 years?
ankoles [38]

Answer:

FV = P(1 + r/t)^nt; where P is the initial investment, r is the rate, t is the number of accumulation in a year, n is the number of years.

FV = 7650(1 + 0.05/4)^(9 x 4) = 7650(1 + 0.0125)^36 = 7650(1.0125)^36 = 7650(1.564) = $11,964.17

Step-by-step explanation:

3 0
3 years ago
3(2y-3)=27can u solve this one
navik [9.2K]
3(2y-3)=27
6y-9=27
6y=36
y=6
7 0
3 years ago
How would you solve 7x + 2(x+5) < 3x-14
Daniel [21]
So first you want to start in the parentheses
x+5
so what you do is 2 times x which is 2x
2 times 5 which is ten
7x+10x <3x-14
-10× - 10x



-3x
5 0
3 years ago
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