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bearhunter [10]
3 years ago
13

Which equation represents a line that passes through (2, –0.5) and has a slope of 3?

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0
We know, principle equation of line: y= mx + b
Here, m = 3

Calculate the value of b:
-0.5 = 3*2 + b
b = -0.5-6
b = -6.5

Now, substitute their values into the expression:
y = 3x - 6.5

Hope this helps!
Kitty [74]3 years ago
4 0
A slope of 3 means the gradient is 3 so we get y=3x+c as derived from the linear formula. we then sub in x=2 and y=-0.5. this gives us c=-6.5.

The equation would be y=3x-6.5

I think this is right.
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Answer:

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Step-by-step explanation:

The first term is a1 = -3.

The common ratio is r = -6/-3 = 2.

The given formula tells you the formula for this sequence is ...

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What is the length of each side of a square if its area is 121 ft??
vladimir2022 [97]

Answer:

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Step-by-step explanation:

Given,

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Formula : -

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What is the solution for the system of equations {2x-3y-2z=-7, x-3y-3z=4, x-2y-z=-3
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7 0
3 years ago
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a standard deviation of 1.52.
Roman55 [17]

Answer:

The percentage of the women have size shoes that are greater than

9.94 is 16%

Step-by-step explanation:

* <em>Lets revise the empirical rule</em>

- The Empirical Rule states that almost all data lies within 3  standard

  deviations of the mean for a normal distribution.  

- 68% of the data falls within one standard deviation.  

- 95% of the data lies within two standard deviations.  

- 99.7% of the data lies Within three standard deviations  

* <em>The empirical rule shows that</em>

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* <em>Lets solve the problem</em>

- The shoe sizes of American women have a bell-shaped distribution

  with a mean of 8.42 and a standard deviation of 1.52

∴ μ = 8.42

- The standard deviation is 1.52

∴ σ = 1.52

- <u><em>One standard deviation (µ ± σ):</em></u>

∵ (8.42 - 1.52) = 6.9

∵ (8.42 + 1.52) = 9.94

- <u><em>Two standard deviations (µ ± 2σ):</em></u>

∵ (8.42 - 2×1.52) = (8.42 - 3.04) = 5.38

∵ (8.42 + 2×1.52) = (8.42 + 3.04) = 11.46

- <u><em>Three standard deviations (µ ± 3σ):  </em></u>

∵ (8.42 - 3×1.52) = (8.42 - 4.56) = 3.86

∵ (8.42 + 3×1.52) = (8.42 + 4.56) = 12.98

- <em>We need to find the percent of American women have shoe sizes </em>

<em>   that are greater than 9.94</em>

∵ The empirical rule shows that 68% of the distribution lies  

  within one standard deviation in this case, from 6.9 to 9.94

∵ We need the percentage of greater than 9.94

- <em>That means we need the area under the cure which represents more</em>

<em>   than one standard deviation (more than 68%)</em>

∵ The total area of the curve is 100% and the area within one standard

  deviation is 68%

∴ The area greater than one standard deviation = (100 - 68)/2 = 16

∴ The percentage of the women have size shoes that are greater

   than 9.94 is 16%

8 0
3 years ago
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