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3 years ago

What is the equation of the following line written in general form? (The y-intercept is 7.)

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

$1=-2m+7$ subtract 7 from both sides

$-6=-2m$ divide both sides by (-2)

$3=m\to m=3$

We have the equation:

$y=3x+7$

Convert it to the general form $Ax+By+C=0$ :

$y=3x+7$ subtract 3x and 7 from both sides

$-3x+y-7=0$ change the signs

$3x-y+7=0$

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For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean

ki77a [65]

Answer:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu=?,\sigma=?)$

We are interested on this probability

$P(X>X+3\mu)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

And we can find the following probablity:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0

2 years ago

Helpppppppppppppppppp

UNO [17]

Answer:

2 solutions

Step-by-step explanation:

Given the expression

2m/2m+3 - 2m/2m-3 = 1

Find the LCM of the expression at the left hand side:

2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1

open the bracket

4m²-6m-4m²-6m/(4m²-9) = 1

Cross multiply

4m²-6m-4m²-6m = 4m² - 9

-12m = 4m² - 9

4m² - 9+12m = 0

4m² +12m-9 = 0

Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2

8 0

2 years ago

Gary learned that the value of his car depreciates by 15% percent per year. Which of the following functions best describes the

Sever21 [200]

For this case we have that the original value of the car is:
m dollars
For the following year we have the value is:
((100-15) / (100)) m
Rewriting we have:
((85) / (100)) m
0.85m
Answer:
the value of his car the year after the car is worth m dollars is:
B.f (m) = 0.85m

5 0

2 years ago

A) Determine which amounts of postage can be formed using just 3-cent and 10-cent stamps.

RUDIKE [14]

wait i will take screen shot please bran-list

8 0

2 years ago

Can someone solve this for me please.

nika2105 [10]

Answer:

The value of PR is 21 ft.

Step-by-step explanation:

We know that:

3(PQ + QT + TP) = PR + RS + SP
PQ = 7 ft.
QT = 4 ft
RS = 12 ft.

Work:

3(PQ + QT + TP) = PR + RS + SP
=> 3(7 + 4 + TP) = PR + 12 + SP
=> 21 + 12 + 3TP = PR + 12 + SP
=> 21 + 3TP = PR + SP
=> 21 + SP = PR + SP [3TP = SP]
=> 21 = PR

Hence, the value of PR is 21 ft.

Hoped this helped.

$BrainiacUser1357$

6 0

2 years ago