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77julia77 [94]
2 years ago
7

Write the equation of a line this is parallel to y=0.5x-4 and that passes through the point (9,-6).

Mathematics
1 answer:
Vika [28.1K]2 years ago
3 0

Answer:

y=0.5x-10.5

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line we need to find is 0.5.

Substituting into point-slope form and converting to slope-intercept form,

y+6=0.5(x-9) \\ \\ y+6=0.5x-4.5 \\ \\ y=0.5x-10.5

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anygoal [31]

The percentage of boys​ 16- to​ 17-years-old who wear a size 11 shoe or larger is 3.59​%.

<u>Step-by-step explanation:</u>

Step 1: Sketch the curve.

The probability that X>27.9 is equal to the blue area under the curve.

Step 2:

Since μ=25.2 and σ=1.5 we have:

P ( X > 27.9 ) = P ( X−μ > 27.9−25.2 )

⇒ P ( X−μ/σ > 27.9−25.2/1.5)

Since Z=x−μσ and 27.9−25.21.5=1.8 we have:

P ( X>27.9 )=P ( Z>1.8 )

Step 3: Use the standard normal table to conclude that:

P (Z>1.8)=0.0359

Percentage = 0.0359(100) = 3.59%

Therefore , The percentage of boys​ 16- to​ 17-years-old who wear a size 11 shoe or larger is 3.59​%.

6 0
3 years ago
The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is c
jonny [76]

Answer:

P = 101.5 e^{-0.00015h}

Step-by-step explanation:

dP/dh = kP

dP/P = k dh

ln P = kh + C

Now, using the points given,

ln 101.5 = C, so C = 4.62

ln 87.3 = k*1000 + 4.62

k = -0.00015

So, we have

ln P = -0.00015 h + ln 101.5

P = 101.5 e^(-0.00015h)

3 0
3 years ago
The point-slope form of a line that has a slope of Linear Equation and passes through the point (3, 0) is shown.
seraphim [82]

Answer:

y=1/4x-3/4

Step-by-step explanation:

hope this helped

6 0
4 years ago
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Explain how to solve the equation by reasoning about numbers, operations, and expressions. Do NOT use standard algebraic equatio
Brilliant_brown [7]

Answer:

x=924

Step-by-step explanation:

348 + 926 = x + 350

we have two 2-terms additions in both sides of the equation.

348 and 350 are two <em>similar</em> numbers then x and 926 should be really <em>close</em> numbers.

(due to commutative property of additions 348 + 926 = 350 + x)

<em>since 348 has two units less than 350, then 926 must have two units more than x, and <u>x=924</u></em>

(indirect proportionality)

6 0
4 years ago
In a group of 54 children, there are twice as many boys as girls how many girls are there
vlabodo [156]
2x + x = 54   wher x = number of girls

3x = 54 
x = 18 

18 girls

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3 years ago
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