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3 years ago

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

Mathematics

2 answers:

mixas84 [53]3 years ago

8 0

Answer:

y - 2 = 2(x + 5)

Step-by-step explanation:

Point slope:

y - y₁ = m(x - x₁)

Given P(-5, 2) and slope m = 2:

y - 2 = 2(x - (-5))

y - 2 = 2(x + 5)

Zina [86]3 years ago

7 0

Answer:

y-2=2(x+5)

Step-by-step explanation:

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UNO [17]

The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.

Interquartile Range:

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

Range: 8 - 1 = 7

Variance:

We start by determining the mean,

$\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57$

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

$\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571$

5.3

Standard Deviation

We take the square root of the variance,

$\sqrt{5.28571} = 2.29906$

2.3

If you are not familiar with variance and standard deviation, just leave it.

3 0

3 years ago

Read 2 more answers

Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.

bearhunter [10]

Mean is $\mu=100$ and a standard deviation is $\sigma =15$ , then the variable $X\sim N(100,15^2)$ .

Use substitution

$Z=\dfrac{X-\mu}{\sigma},\\ \\ Z=\dfrac{X-100}{15}$ .

This substitution gives you that $Z\sim N(0,1)$ .

a. For X=130, $Z=\dfrac{130-100}{15}=2$ and $Pr(X>130)=Pr(Z>2) =0.9772$ (the decimal value is taken from the Standard Normal Distribution Table).

b. For X=90, $Z=\dfrac{90-100}{15}=-\dfrac{2}{3}$ and for X=110, $Z=\dfrac{110-100}{15}=\dfrac{2}{3}$ . Then $Pr(90$ (the decimal value is taken from the Standard Normal Distribution Table).

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3 years ago

Please help thank you

fiasKO [112]

Answer:

2 × n - 1 = x

Step-by-step explanation:

for example:

$2(4) - 1 = 7$

$2(5) - 1 = x \\ 10 - 1 = x \\ x = 9$

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2 years ago

Which statements are true

UkoKoshka [18]

Answer:

its the second one

Step-by-step explanation:

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3 years ago

2 is more than a number v

Snowcat [4.5K]

2 is more than a number v

2 > v is your equality

this means that v can be the number 1 or less

hope this helps

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3 years ago