Which of the following equations, represents the line with a slope of 2/3 and a y-intercept of 9?
1) y = 3/2x-9
2) y = 3/2x + 9
3) y = 2/3x = 9
4) y = 2/3x + 9 ​

Answers

Answer 1

Step-by-step explanation:

Equation of line:

[tex]y = mx + c[/tex]

where m is the slope

and c is the y-intercept

given the information from the question,

m = 2/3 , c = 9

substituting the values in,

equation of the line is

[tex]y = \frac{2}{3} x + 9[/tex]


Related Questions

A food truck at the fair had 24 pies to sell. Each pie was cut into pieces and each piece was cut into 1/8 of a pie. How many pieces of pie did the food truck have to sell?

Answers

Answer:

192

Step-by-step explanation:

!!ASAP!! Please help marking brainliest w/ points!!
—————-
Select yes or no for each expression to determine whether it is or can be written as a monomial!

Answers

Answer:

1. yes

2. no

3. yes

4. yes

5. no

Step-by-step explanation:

Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives immunity to fungal infections. To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene. Give the margin of error for the 90% confidence interval. Round your answer to 3 decimal

Answers

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Give the margin of error for the 90% confidence interval.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]

[tex]M = 0.038[/tex]

The margin of error for the 90% confidence interval is of 0.038.

4 unit squares each have 4/5 of their area shaded what is the total of that area shaded

Answers

Answer:

16/20

Step-by-step explanation:

yeah

Answer:

20/7

Step-by-step explanation:

just do it dont do the top i tried and it failed PLEASE MY FUTURE SELF LOOK AT THIS

The answer is not 15

Answers

the area would equal 30
Parallelogram = base * h
base = 10, height = 3
10 * 3 = 30

Answer: 30 cm^2

Can someone help me with these 2 problems pls

Answers

Answer:

53.58°

Step-by-step explanation:

SOHCAHTOA

COS (A)= ADJACENT/ HYPOTENUSE

A= acos(19/32(

A= 53.57642°

Answer:

7) horizontal distance = 105.95 m

Step-by-step explanation:

I can't draw. I don't have much use of my hands. but I'll answer #7 for you.

cos 28° = x/120

0.8829 = x/120

x = 105.95 m

*Determine the number of solutions the equation below has.
3(1 + d)-5 = 3d - 2
Explain how you know .

Answers

Answer:

6

Step-by-step explanation:

because i know

Determine the solution

Answers

Answer:

:/

Step-by-step explanation:

:/

Given the system which is true? Thanks in advance!

Answers

Answer: the system has no solution

Step-by-step explanation:

The slope and the y-intercept is different


HURRY IM TIMED ON EDGE Which is the best estimate for the percent equivalent to 3/8?
26%
279%
37%
38%

Answers

Answer:

C.) 37%

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] as a percentage is 37.5%

[tex] \purple{ \huge{\mathtt{✨Answer✨}}}[/tex]

C. 37%

What is (3x^2+ 4x - 7) / (x - 1)?

A. 3x+1
B. X-1
C. 3x+7
D. 7x-7

Answers

Answer:

[tex]\tt{}b. \: 3x + 7 [/tex]

Step-by-step explanation:

[tex]\tt{} \frac{(3 {x}^{2} + 4x - 7) }{(x - 1)} [/tex]

[tex]\tt{} \frac{{3x}^{2} + 7x - 3x - 7}{x - 1}[/tex]

[tex]\tt{} \frac{x \times (3x + 7) - (3x + 7)}{x - 1} [/tex]

[tex]\tt{} \frac{(3x + 7) \times (x - 1)}{x - 1} [/tex]

[tex]\tt{}3x + 7[/tex]

Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. Match each description on the left with a term on the right. Note - any given term on the right may be used more than once or not at all.
a. Response variable
b. Explanatory variable
c. Subjects of investigation
1. Infants whose brains are temporarily deprived of oxygen [Choose ]
2. Usual care or whole-body cooling ET [Choose]
3. Survival without brain damage [Choose]

Answers

Answer:

Infants whose brains are temporarily deprived of oxygen - Subject of investigation

Usual care or whole-body cooling ET - Explanatory variable

Survival without brain damage - Response variable

Step-by-step explanation:

The subject of investigation are the set of participants who are used in a research study. Based on the scenario described above, 208 infants whose brains were temporarily deprived of oxygen as a result of complications at birth were researched. And these sentence gives us the subject of investigation.

The Explanatory variable can also be called the independent variable which are the variables which causes changes behavior or output produced by the response variable. The usual care and whole body cooling are the two independent temperature options subjects are assigned subjected to.

The response variable also called the predicted variable gives the outcome or effect of the the Explanatory variable on the subject of investigation.

Lee records the height of players on a basketball team, and calculates the mean absolute deviation of the set of data.
What does the mean absolute deviation of the set of data describe?
the average height of a player on the team
B the height of the tallest player on the team
the difference in height between the shortest and tallest player
D the average difference in height between each player and the mean height

Answers

Answer:

I'm pretty sure it's D

Step-by-step explanation:

Answer:D is the answer

Terry used a bag of marbles to do a probability experiment. In the experiment, he selected one marble at random from the bag, recorded the color, and put the marble back in the bag. He repeated this procedure 15 times and recorded the results in the table shown Based on the results, what is the probability that the next marble Terry selects will be a green marble? Mark all that apply.

Answers

Answer:

Mate there isn't a chart

Step-by-step explanation:

g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)

Answers

Answer:

 (g-f)(x) =  x²-7x -1

Step-by-step explanation:

hello :

g(x)=x²-5x        f(x)=2x+1      

(g-f)(x) =g(x) - f(x) = x²-5x- (  2x+1 ) =  x²-5x -   2x-1

 (g-f)(x) =  x²-7x -1

Sanjay surveyed 95 students at his school about their favorite class. Of the students surveyed, 19 said their favorite was Spanish. What is the experimental probability that the next student Sanjay talks to will pick Spanish?

Answers

Answer:

0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish

Step-by-step explanation:

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

It is called experimental when both these number of outcomes come from experiences, from a trial, as is the case in this exercise.

What is the experimental probability that the next student Sanjay talks to will pick Spanish?

19 out of 95. So

p = 19/95 = 0.2

0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish

no the correct answer is gonna be 1/5

A circle has a radius of 4. An arc in this circle has a central angle of 288º.
What is the length of the arc?

Answers

Answer:

its  [tex]\frac{32\pi }{5}[/tex] or in degree it is 1152º

Step-by-step explanation:

The function f(x) = (x − 4)(x − 2) is shown.

On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0).
What is the range of the function?

all real numbers less than or equal to 3
all real numbers less than or equal to −1
all real numbers greater than or equal to 3
all real numbers greater than or equal to −1

Answers

Answer:

Last Option : all real numbers greater than or equal to −1

Step-by-step explanation:

Answer:

D.all real numbers greater than or equal to −1

Step-by-step explanation:

Find the 12th term of the arithmetic sequence whose common difference is d=-7 and whose first term is a = 10.

Answers

Answer:

87

Step-by-step explanation:

tn= a + (n-1)d

t12 = 10 + (12-1)7

=87

Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?

Answers

Answer:

812 dollars  14 x 58 = $812 dollars.

Step-by-step explanation:

Answer:

I think it is 812 tell me if I'm wrong please

!!!50 POINTS PLZ HELPPPP!!!!!! Which of the following shows the graph of y = –(2)x – 1?

Answers

I think its this one. Please correct me if i’m wrong!!

what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5

Answers

Answer:

y = 4/5 x + 2/5

Step-by-step explanation:

I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?

Answers

Answer:

[tex]\sqrt{13}[/tex] = 3.605551275......

Step-by-step explanation:

[tex]\sqrt{13}[/tex]

       3.6

3 [tex]\sqrt{13}[/tex]

     -9

36[tex]\sqrt{4}[/tex]00

do you need to know more... ??

9514 1404 393

Answer:

  √13 ≈ 3.60555127546

  "by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38

Step-by-step explanation:

Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.

Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.

__

Method 1 -- Linear approximation

You can approximate it by hand in the following way.

√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...

  3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6

This is a linear interpolation between √9 and √16.

_____

Method 2 -- Babylonian method

The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.

  x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175

  x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places

One more iteration will double the number of correct decimal digits.

  x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915

(correct digits are highlighted)

_____

Method 3 -- "long division"

There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.

_____

Method 4 -- continued fraction

Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:

  3 +x = √13 . . . . . . where x is the fractional part of the root

  (3 +x)² = 13 . . . . . . square both sides

  x² +6x +9 = 13 . . . expand the square

  x(x +6) = 4 . . . . . . . subtract 9 and factor

  x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)

At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...

  p/q = 4/(6 +p/q) = 4q/(6q +p)

That is, successive approximations of x can be had by the transformation ...

  (p, q) ⇒ (4q, 6q+p)

Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...

  (p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)

At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.

__

* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.

A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? *​

Answers

Answer:

603.35%

Step-by-step explanation:

Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, to determine what is the percentage in mark up, the following calculation must be performed:

1.49 = 100

8.99 = X

8.99 x 100 / 1.49 = X

899 / 1.49 = X

603.35 = X

Thus, the mark up percentage of the book is 603.35%, which implies an increase of more than 6 times its initial value.

Solve the equation for the value of x,
-4x=36

Please show your work, thank you.

Answers

Answer:

x = -9

Step-by-step explanation:

First,Add 4 to both sides

-4x-4+4=36-4+4

Then,simplify

-4x=36

divide both sides by -4

-4x/-4 = 36/-4

Lastly simplify it to get your answer!

A 20-question multiple choice quiz has five choices for each question. Suppose that a student just guesses, hoping to get a high score. The teacher carries out a hypothesis test to determine whether the student was just guessing. The null hypothesis is p = 0.20, where p is the probability of a correct answer.

a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.

i. The z-test statistic will be close to 0.
ii. the z-test statistic will be far from 0.

b. Which of the following describes the p-value that is likely to result? Explain your choice.

i. The p-value will be small.
ii. The p-value will not be small.

Answers

Answer:

a)  i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.

b)  ii. The p-value will not be small, as the z-statistic is close to 0.

Step-by-step explanation:

The null hypothesis is p = 0.20

The teacher carries out a hypothesis test to determine whether the student was just guessing.

Test if the proportion is different from 0.2. So the alternate hypothesis is:

[tex]H_{a}: p \neq 0.2[/tex]

Five choices for each question, one of which is correct.

Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

a. Which of the following describes the value of the z-test statistic that is likely to result?

In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.

b. Which of the following describes the p-value that is likely to result?

pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).

Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.

help? please witt these 2

Answers

Answer:

C: x=6 D: x=2

Step-by-step explanation:

Hope this helps

Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).

Answers

Answer:

x = 6, x = -4

Step-by-step explanation:

A family has five children. The probability of having a girl is 1/2. What is the probability of having 3 girls followed by 2 boys?

Answers

Answer:

5 1/2

Step-by-step explanation:

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of
$5. Ann paid a total of $49.10.

Answers

Answer:

Ann went 21 miles in the taxi

Step-by-step explanation:

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