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Mazyrski [523]
3 years ago
8

The slope of the line below is 4. Which of the following is the point-slope form

Mathematics
2 answers:
Viefleur [7K]3 years ago
7 0
Y-(-4) = 4(x-(-3))

Y+4 = 4(x+3)

The answer is A


Hope this helps!
damaskus [11]3 years ago
5 0

Answer:

A: y+4=4(x+3)

Step-by-step explanation:

Point-Slope Formula:

y-y1=m(x-x1)

Substitute:

y-(-4)=4(x-(-3))

-(-)=+

P: y+4=4(x+3)

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Annette [7]
6x-1=4x+6

Subtract 4x from each side

2x-1=6

Add 1 to each side

2x=7

Divide by 2 to isolate the variable

6(7/2)-1=21-1=19cm

I hope this is helpful.
4 0
2 years ago
Algebra 2 questions
Law Incorporation [45]

Answer:

0

Step-by-step explanation:

Cancel out x-y to x^2-Y^2 and you get x+y-x-y which is 0

8 0
3 years ago
Assume that X is normally distributed with a mean of 20 and a standard deviation of 2. Determine the following. (a) P(X 24) (b)
Tems11 [23]

Answer:

a) P( X < 24 ) =  0.9772

b) P ( X > 18 ) =0.8413

c) P ( 14 < X < 26) = 0.9973

d)  P ( 14 < X < 26)  = 0.9973

e) P ( 16 < X < 20)  = 0.4772

f) P ( 20 < X < 26)  =  0.4987

Step-by-step explanation:

Given:

- Mean of the distribution u = 20

- standard deviation sigma = 2

Find:

a. P ( X  < 24 )

b. P ( X  > 18 )

c. P ( 18 < X  < 22 )

d. P ( 14 < X  < 26 )

e. P ( 16 < X  < 20 )

f. P ( 20 < X  < 26 )

Solution:

- We will declare a random variable X that follows a normal distribution

                                   X ~ N ( 20 , 2 )

- After defining our variable X follows a normal distribution. We can compute the probabilities as follows:

a) P ( X < 24 ) ?

- Compute the Z-score value as follows:

                                   Z = (24 - 20) / 2 = 2

- Now use the Z-score tables and look for z = 2:

                                   P( X < 24 ) = P ( Z < 2) = 0.9772

b) P ( X > 18 ) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

- Now use the Z-score tables and look for Z = -1:

                    P ( X > 18 ) = P ( Z > -1) = 0.8413

c) P ( 18 < X < 22) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

                                   Z = (22 - 20) / 2 = 1

- Now use the Z-score tables and look for z = -1 and z = 1:

                   P ( 18 < X < 22)  = P ( -1 < Z < 1) = 0.6827

d) P ( 14 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (14 - 20) / 2 = -3

                                   Z = (26 - 20) / 2 = 3

- Now use the Z-score tables and look for z = -3 and z = 3:

                   P ( 14 < X < 26)  = P ( -3 < Z < 3) = 0.9973

e) P ( 16 < X < 20) ?

- Compute the Z-score values as follows:

                                   Z = (16 - 20) / 2 = -2

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = -2 and z = 0:

                   P ( 16 < X < 20)  = P ( -2 < Z < 0) = 0.4772

f) P ( 20 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (26 - 20) / 2 = 3

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = 0 and z = 3:

                   P ( 20 < X < 26)  = P ( 0 < Z < 3) = 0.4987

8 0
3 years ago
In AKLM, m = 86 inches, k = 56 inches and ZL=85°. Find ZM, to the nearest<br> degree.
lara31 [8.8K]
Please show a pic so i can understand better
8 0
2 years ago
If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?
andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

^nC_k=\frac{n!}{k!(n-k)!}

in our given question, n= 7, k= 4

Putting values:

^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Keywords: Probability

Learn more about Probability at:

  • brainly.com/question/1637111
  • brainly.com/question/2254182
  • brainly.com/question/2264295

#learnwithBrainly

7 0
3 years ago
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