Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9

Answers

Answer 1

Answer:

y = 2x + 6

slope = 2

y intercept = 6


Related Questions

Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

Required:
a. Determine the mean of X.
b. Determine the variance of X
c. What is P(X < 3.7)?

Answers

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

[tex]\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75[/tex]

(b)

Compute the variance of X as follows:

[tex]\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083[/tex]

(c)

Compute the value of P(X < 3.7) as follows:

[tex]P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898[/tex]

Thus, the value of P(X < 3.7)  is 0.4898.

7. What is the equation of the line that passes through (-1, -4) and (0,5)?
A.) y = 9x + 5 B.) y = 5x + 9 C.) y = -9x + 5 D.) y = -5x + 9 E.) none of these
1

Answers

Answer:

A)y=9x+5

Step-by-step explanation:

If x=-1, y=-4,

  y=9*-1+5=(-9)+5=-4

If x=0, y=5,

  y=9*0+5=5

What was Madame de Soto’s motive for intervening?

Answers

Answer:

On May 21, 1541, the Spaniards saw for the first time the Mississippi River, the “Father of the Water” south of Memphis, Tennessee. They crossed the river and made their way through Arkansas and Louisiana. Then, early in 1542, de Soto turned back to the Mississippi River

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

10 raise to power2 - 11 raise to power 2 + 4raise to power2​

Answers

10^2 = 100
11^2 = 121
4^2 = 16

100 - 121 + 16

116 - 121

-5

Answer:

-5

Step-by-step explanation:

100 - 121 + 16

Power of 2 just means to multiply the number by iteself. So 10×10, 11×11, 4×4.

Look at image please help me

Answers

Answer:

[tex](\frac{y^{2} }{x^{2} } )[/tex]^1/2

Answer:

the answer would be y/x

If December 6 falls on a Saturday, then January 19 of the next year falls on which day of the week?

Answers

January 19 would fall on a Tuesday

Shonda painted 3 walls in her home. She used 34 of her paint. She used the same amount of paint on each wall.

How much of her paint was used on each wall?

Answers

Answer:

1/4

Step-by-step explanation:

Inquality x=3 is a solution or x=-2is a solution for 7(2 -x)>5

Answers

Answer:

5

Step-by-step explanation:

The modified expression x^3(2x+5)-4(2x+5) has two terms with a common factor of

Answers

Answer:

( 2 x +5)  ( x ^3 − 4 )

Step-by-step explanation:

I dont think this the answer your looking for, however, if you work backwards from here by expanding, you might get what you want. :)

please
help i’ve been stuck on
this all day

Answers

Answer:

CPB

Step-by-step explanation:

acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees

Answer: The answer is CPB

9
The rate shown represents the number of residents for each police officer in a city.
400 residents
1 police officer
Which rate is equivalent?
10,000 residents
25 police officers
O
4,000 residents
100 police officers
2 residents
800 police officers
500 residents
101 police officers
chart below

Answers

Answer:

A: 10,000 residents to 25 police officers

Step-by-step explanation:

400*25=10,000

PLSSS HELPPPPP MEEEE III WILLL GIVVVEEE BRAINLIESTTTT!!!!!!

Answers

Answer:

it should be 4.5

Step-by-step explanation:

imagine you have to hunt find food to eat what kind of food will you find

Answers

Answer:

deer

Step-by-step explanation:

Answer:

hmm...wild dear and plants

Write an expression in simplest form that represents the area of the banner

Answers

Answer:

Can I have a picture so I can give you one

Step-by-step explanation:

thank you

Add preposition ...The plane landed ____the ranway.

Answers

Answer:

On

The plane landed ON the runway.

Step-by-step explanation:

A preposition is a word that shows the relationship of a noun or pronoun with another word.

For example, in this sentence the noun is plane and we need to connect it with runway.

And on is the answer that makes the most sense.

There are 720 dishes that need to be rinsed. Brian can rinse them in 72 minutes by himself. It will take his friend Boris 144 minutes to rinse these dishes. How
long will it take them itthey rinse these 720 dishes together?
minutes

Answers

Answer:

It will take both of them 48 minutes to rinse all the dishes.

Step-by-step explanation:

Brian can do 720/72 = 10 dishes per minute.

Boris can do 720/144 = 5 dishes per minute

Together, they do 15 dishes per minute

720/15 = 48 minutes

kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.

What is the airplane's unit rate of speed in miles per hour?

Answers

Answer:

450 miles per hour

Step-by-step explanation:

Kelly flies at a distance of 2,100 miles

The time taken for the trip is 4 2/3 hours

Therefore the rate of speed can be calculated as follows

= 2,100 ÷ 4 2/3

= 2,100 ÷ 14/3

= 2100 × 3/14

= 150 × 3

= 450 miles per hour

Answer:

450

Step-by-step explanation:

please help need assistance

Answers

Answer:

18

Step-by-step explanation:

Keep in mind that anything with a subscript of 0 always comes out as a 1

16(1)+2(2)²(4⁻¹)

= 16+8(4⁻¹)

=16 + 8(1/4)

=16+2

=18

Hope this helps! :)

Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Marty’s earnings last week?

Answers

Answer:

Step-by-step explanation:

Marty's earnings = 8.50 x 19.5 = 165.75

A random sample of 5 homes in Newberry, Florida had a mean of $169,900 and a standard deviation of $21,756. Construct a 95% confidence interval for the average home of this size in Newberry.
A. (144885.25, 194914.75).
B. (150440.842, 189359.16).
C. (150830, 188969.98).
D. (142886, 196914).

Answers

Answer:

D. (142886, 196914).

Step-by-step explanation:

To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.

The formula for Confidence Interval =

C.I = Mean ± t score × standard deviation/√n

n = 5 samples

Degrees of freedom = n - 1 = 5 - 1 = 4

The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776

Hence,

Confidence Interval =

169,900 ± 2.776 × 21,756/√5

169,900 ± 2.776 × 9.7295789837

169, 900 ± 27009.311259

Confidence Interval

169,900 - 27009

= 142886

169, 900 + 27009.311259

= 196914

Hence, the confidence interval = (142886, 196914)

Option D is the correct answer

Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.

In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.

The sample mean is [tex]\overline{x} = 169900[/tex].The sample standard deviation is [tex]s = 21756[/tex].The sample size is [tex]n = 5[/tex]

First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.

Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.

The margin of error is:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

In this case:

[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

Then

[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].

[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].

Thus, the correct option is D. (142886, 196914).

A similar problem is given at https://brainly.com/question/15180581

In a certain assembly plant, three machines, B1, B2, B3, make 30%, 45%, and 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective.
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.

Answers

Answer:

a. The probability that the finished product selected is defective is 2.45%.

b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Step-by-step explanation:

Let A represents the defective product.

We also have the following from the question:

P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30

P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45

P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25

P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02

P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03

P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02

We can therefore proceed as follows:

A. Suppose that a finished product is randomly selected. What is the probability that it is defective?

To determine this, the rules of elimination is applied and we have:

P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)

Where;

P(A) = Probability that the selected product is defective = ?

Substitutes the values defined above into equation (1), we have:

P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)

P(A) = 0.006 + 0.0135 + 0.005

P(A) = 0.0245, or 2.45%

Therefore, the probability that the finished product selected is defective is 2.45%.

B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.

To calculate this, the Bayes’ rule is employed as follows:

P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A)  ………….... (2)

Where;

P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?

Also, from the values already defined and obtained in part A, we have:

P(B3) = 0.25

P(A/B3) = 0.002

P(A) = 0.0245

Substituting the values into equation (2), we have:

P(B3/A) = (0.25 * 0.02) / 0.0245

P(B3/A) = 0.005 / 0.0245

P(B3/A) = 0.2041, or 20.41%

Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Can someone help me find the area of the triangle

please!!!

Answers

Answer:

18

Step-by-step explanation:

Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80

Answers

Answer:

D

Step-by-step explanation:

100% true

Answer:

It is D

Step-by-step explanation:

joyce only gets 5.5%commission on sales greater than $2000 per month. If she sold $2300, what commission did she earn? A. 82.21 B. 16.5 C. 144 D. zero​

Answers

Answer:

$16.50

Step-by-step explanation:

$300 x .055 = $16.50

A car that costs $14,000 without tax costs $14,700 with tax what is the sales tax percent (percent increase)?

Answers

Yo the car is.......................Step-by-step explanation:

Yoooo who’s smart I need help in this ASAP

Answers

3^3 That Check Mark 1/3 Was The Answer I Got , Sorry Of It’s Wrong

Answer:

3[tex]\sqrt[9]{Z}[/tex]²

Step-by-step explanation:

Expression -

(27[tex]\sqrt[3]{Z}[/tex]²) ^1/3

Transform the expression -

³[tex]\sqrt[3]{27}[/tex][tex]\sqrt[3]{Z}[/tex]²

Simplify - //Note: ignore the ' * '//

3[tex]\sqrt[3]{*}[/tex][tex]\sqrt[3]{z}[/tex]²

Simplify (Again) -

3[tex]\sqrt[9]{Z}[/tex]²

3y+6 divided by 2a:let y=4 and x=3

Answers

Answer:

3

Step-by-step explanation:

You first plug in the values for x and y into the equation

3(4)+6÷ 2(3)

Then Simplify each side

12+6÷6

18÷6

=3

Problems 4 (a and b), 6 (a,b, and c), 7 (a,b, and c), 8, and 9 (a,b, and c) Thank you so much!
For real help on this, people will receive more points to prevent point stealing.

Answers

Answer:

no problem glad to help

ill give brainliest please help

Answers

do length times width and you’ll get the answer

What is the slope of the line that passes through the points (−10,0) and (-13, 3)?

Answers

Answer:

-1

Step-by-step explanation:

To find slope

m=y2-y1

    --------

     x2-x1

m= 3-0

     -----

   -13-(-10)

m=  3

      ---

      -3

m=-1

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