On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4?

Answers

Answer 1
y = mx + c

m = gradient

gradient of line:
[5 - (-3)]/[(-1) - (-3)]
= 8/2
= 4

y = mx + c
subsitute (4, 0)
0 = (4)(4) + c
0 = 16 + c
c = -16

equation of the line:

y = 4x - 16

hope this helped :)



Answer 2

Answer:

4, -16

Step-by-step explanation:


Related Questions

How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if A and B must sit
together?

Answers

Answer:

The total number of ways A, B, C, D, and E can sit together is 5

Step-by-step explanation:

Consider the following system of equations:

y = −2x + 3
y = x − 5

Which description best describes the solution to the system of equations?

Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.
Line y = −2x + 3 intersects line y = x − 5.
Lines y = −2x + 3 and y = 3x − 5 intersect the y-axis.
Line y = −2x + 3 intersects the origin.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

"Line y = −2x + 3 intersects line y = x − 5."  

»»————- ★ ————-««  

Here’s why:  

When the system of equations are graphed, they would intersect at a point. This means that there is a solution to the system. The solution is [tex](\frac{8}{3} ,-\frac{7}{3} )[/tex].While the statement that the lines intersect the x-axis is true, the question asks the statement that describes the solution. The solution is the point of intersection between the two lines.

⸻⸻⸻⸻

See the Graph Attached

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than and draw a sketch of the region.

Answers

Answer:

0.5000

Step-by-step explanation:

According To The Question,

The Area under the Standard Normal Curve, We Can Use the Statistical Tables , That Reported Area As P(z < a) .  

Thus, We need to use the following Relationship.

P(z > a) = 1 - P(z < a)

Now solve, P(z > 0) = 1 - P(z < 0) ⇔ 1 - 0.5000 ⇔ 0.5000

(Diagram, Please Find in Attachment)

In a bag of mini candy bars, 40% of the candy bars are Snickers. There are 120 Snickers in the bag. How many total mini candy bars are in the bag?​

Answers

Answer:

The amswer is 48.

Step-by-step explanation:

120×0.40=48

what is the average rate of change from 0 to 2 of the function represented by the graph? Enter your answer, as a simplified fraction, in the box​

Answers

Answer:

=>The graph of an exponential relation is also non-linear.

=>The graph of an exponential relation becomes nearly parallel to x-axis on one and then curves upward and becomes nearly parallel to the y-axis on the other sid.

The average rate of change from 0 to 2 of the function represented by the graph is  [tex]\frac{3}{2}[/tex].

What is average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

According to the question

[tex]x_{1} =0[/tex], [tex]x_{2} =2[/tex]

f(0) = 1, f(2) = 4

The average rate of change = [tex]\frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1} }[/tex]

= [tex]\frac{f(2)-f(0) }{2-0 }[/tex]

= [tex]\frac{4-1}{2}[/tex]

= [tex]\frac{3}{2}[/tex]

Hence, the average rate of change from 0 to 2 of the function represented by the graph is  [tex]\frac{3}{2}[/tex].

Find out more information about average rate of change here

https://brainly.com/question/13235160

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In communicating with an orbiting satellite, suppose that a 30-bit message is sent to thesatellite. Transmission of messages can sometimes be distorted. If the probability of eachbit being received incorrectly is 0.001, where each bit is received independently of the others,what is the probability that at least one bit is received incorrectly?

Answers

Answer:

0.0296 = 2.96% probability that at least one bit is received incorrectly.

Step-by-step explanation:

For each bit, there are only two possible outcomes. Either it is received correctly, or it its not. Each bit is received independently of the others, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability of each bit being received incorrectly is 0.001

This means that [tex]p = 0.001[/tex]

30-bit message

This means that [tex]n = 30[/tex]

What is the probability that at least one bit is received incorrectly?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9704 = 0.0296[/tex]

0.0296 = 2.96% probability that at least one bit is received incorrectly.

A pizza company runs a marketing campaign based on their delivery time for pizzas. They claim that they will deliver a pizza within 30 minutes of ordering or it is free. In practice the time it takes to prepare a pizza and it being delivered is normally distributed with mean 25 minutes and standard deviation 3 minutes. What is the probability a pizza is delivered for free?On a particular Sunday, 40 pizzas were ordered. What is the probability that more than 2 were delivered for free?If the company wants to reduce the proportion of pizzas that are delivered free to 1%, what should the delivery time be advertised as?

Answers

Answer:

0.0475 = 4.75% probability a pizza is delivered for free.

0.2955 = 29.55% probability that more than 2 were delivered for free.

The delivery time should be advertised as 32 minutes.

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the normal distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean 25 minutes and standard deviation 3 minutes.

This means that [tex]\mu = 25, \sigma = 3[/tex]

What is the probability a pizza is delivered for free?

More than 30 minutes, which is 1 subtracted by the p-value of Z when X = 30.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 25}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a p-value of 0.9525

1 - 0.9525 = 0.0475

0.0475 = 4.75% probability a pizza is delivered for free

What is the probability that more than 2 were delivered for free?

Multiple pizzas, so the binomial probability distribution is used.

0.0475 probability a pizza is delivered for free, which means that [tex]p = 0.0475[/tex]

40 pizzas, which means that [tex]n = 40[/tex]

This probability is:

[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]

In which

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{40,0}.(0.0475)^{0}.(0.9525)^{40} = 0.1428[/tex]

[tex]P(X = 1) = C_{40,1}.(0.0475)^{1}.(0.9525)^{39} = 0.2848[/tex]

[tex]P(X = 2) = C_{40,2}.(0.0475)^{2}.(0.9525)^{38} = 0.2769[/tex]

Then

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1428 + 0.2848 + 0.2769 = 0.7045[/tex]

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.7045 = 0.2955[/tex]

0.2955 = 29.55% probability that more than 2 were delivered for free.

If the company wants to reduce the proportion of pizzas that are delivered free to 1%, what should the delivery time be advertised as?

The 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 25}{3}[/tex]

[tex]X - 25 = 2.327*3[/tex]

[tex]X = 32[/tex]

The delivery time should be advertised as 32 minutes.

Is 4 over 5 equals 48 over 60 a true proportion?

Answers

Answer:

0.8 you yes both of them has the same answer , so it is a true portion

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

[tex]\frac{4}{5} =\frac{48}{60}[/tex]

This is a true proportion because when you cross multiply you get the same product.

[tex]48*5=240[/tex]

[tex]4*60=240[/tex]

Please help ASAP ASAP

Answers

Step-by-step explanation:

[tex] \sqrt{53} [/tex]

My sister’s house is 1 2/4 times as high as my house. My house is 5 feet high. How high is my sister’s house?

Answers

Answer:

Sister's house is 7.5 feet high

Step-by-step explanation:

Given :

     My house = 5  feet

     Sisters house = [tex]1\frac{2}{4}[/tex]  [tex]times[/tex]  [tex]my \ house[/tex]

                           = [tex]\frac{6}{4} \times 5[/tex]

                           [tex]=\frac{30}{4}\\\\=\frac{15}{2}\\\\= 7 . 5 \ feet[/tex]

Correct answer to your question is 7.5 feet high

Suppose your marketing colleague used a known population mean and standard deviation to compute the standard error as 67.5 for samples of a particular size. You don't know the particular sample size but your colleague told you that the sample size is greater than 70. Your boss asks what the standard error would be if you quadruple (4x) the sample size. What is the standard error for the new sample size

Answers

Answer:

The standard error for the new sample size will be of 33.75.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard error as 67.5 for samples of a particular size.

We have that [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], that is, the standard error is inversely proportional to the square root of the sample size, so if you quadruple (4x) the sample size, the standard error will be divided by half. So

67.5/2 = 33.75

The standard error for the new sample size will be of 33.75.

Which type of parent function is f(x) =1/2​

Answers

Answer:

I think you are missing something unless the answer is a horizontal line.

Step-by-step explanation:

Answer:

square root

Step-by-step explanation:

just took the test :)

Find the measure of the are or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
2) m SPU

Answers

Answer:

120°

Step-by-step explanation:

m L SPU = 180° - 60° = 120°

if (x) - **4, g(x) = x= 2, and h(x) = 4x+1, what is (f• Hºg)(x)?
2x+16
o (fe hºg)(x) =
2x+4
o (fonog)(x)=
4x-3
o (f• hºg)(x)- Ax=1
4x-5
o (f• nºg)(x) = AX-

Answers

Answer:

c

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
\text{7 is added to a number.}
7 is added to a number.

Answers

Answer:

7+x

Step-by-step explanation:

X will be the unknown

Choose the system for the graph.

Answers

Answer:  Choice D

========================================================

Explanation:

The darkest shaded region is in the northern most region. This region is above both blue boundary lines.

A sample point from this region is (5,2)

We'll plug these coordinates into the first inequality of choice A

[tex]3x+4y \le 12\\\\3(5)+4(2) \le 12\\\\23 \le 12\\\\[/tex]

which is false. So we can rule out choice A.

We can rule out choice B for the exact same reason.

The answer is between C and D

---------------------------

Let's plug those x,y coordinates into the first inequality of choice C

[tex]3x+4y \ge 12\\\\3(5)+4(2) \ge 12\\\\23 \ge 12\\\\[/tex]

which is true. So far, so good.

Now repeat for the second inequality of choice C

[tex]2x-5y \ge 10\\\\2(5)-5(2) \ge 10\\\\0 \ge 10\\\\[/tex]

which is false. We rule out choice C. Choice D is the only thing left, so it must be the answer.

---------------------------

Let's check the second inequality of choice D just for the sake of completeness

[tex]2x-5y \le 10\\\\2(5)-5(2) \le 10\\\\0 \le 10\\\\[/tex]

which is true.

We can see that (x,y) = (5,2) makes both inequalities of choice D to be true, and therefore we have found the final answer.

Answer: TRUST ITS THE CHOICE D

Step-by-step explanation:

PLEASE HELP ME ASAP! ILL GIVE YOU ALL OF MY POINTS PLEASE HELP.

A large container of breath mints has a mass of 50 g. A small container has a mass of 10 g. What is the percent decrease from the mass of the large container to the mass of the small container? Show your work.​

Answers

Answer:

80 percent decrease

Step-by-step explanation:

80% of 50 = 40 and 50 - 40 = 10

Answer:

It decreases 80%

Step-by-step explanation:

If the 50g one is 100%, and the 10g one is a fraction of that, find out what 10/50 is as a percent.  

10/50= 20%

Because this is the remaining mass, the other 80% has been deducted meaning that the mass of the large container has decreased 80% to get to the mass of the smaller one.  

11 Roger has m toy cars. Don has twice as many cars as Roger. Larry has five more cars than Roger. Write down an expression, in terms of m, to complete each statement. Don has cars H Larry has cars​

Answers

Step-by-step explanation:

Roger has m toy cars.

Number of cars Roger has = m

Don has twice as many cars as Roger.

→ Number of cars Don has = 2(Cars Roger has)

Number of cars Don has = 2m

Larry has five more cars than Roger.

→ Number of cars Larry has = 5 + (Cars Roger has)

Number of cars Larry has = 5 + m

16. Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)

Answers

2: it is, because last digit is even
3: it is, because the sum of the digit, 2+4+7+2=15, is divisible by 3
4. it is, because the last 2 digits, 20, is divisible by 4
5. it is, because last digit is 0
6. it is, because it is divisible by 2 and 3
8. it is, because the last 3 digits, 720, is divisible by 8
9. It is not, because the sum of the digits, which is 15, is not divisible by 9
10. It is, because the last digit is 0
11. It is not, because the difference of alternating digits, which is 2+0+2-4-7-0, is not divisible by 11

If a product normal retails for $40, and a customer has a coupon for 15% off, what will the discounted price of the product be?

Answers

It will be 6 - hope it help

Answer:

$34

Step-by-step explanation:

price of the product = $40

coupon = 15% off

discount price = 15% of price of a product

=15/100 * $40

=$600/100

=$6

New price of the product = original price - discount

=$40 - $6

=$34

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3
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MY
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SA
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What is the slope of the line?
Pro

Answers

Answer:

1/2

Step-by-step explanation:

choose 2 points, I chose (-3,2) (1,4)

[tex]m = \frac{4 - 2}{1 - ( - 3)} = \frac{2}{4} = \frac{1}{2} [/tex]

No step by steps or links please

Answers

Answer:

Six at top, ten at second, twenty-seven at third, and four at bottom.

Express square root 4x – 7 as a power .​

Answers

Answer:

It's answer is 4x-7^1/2

By how much is the sum of 3 2/3 and 2 1/5 less than 7​

Answers

Step-by-step explanation:

32/3+21/5÷7

14.87÷7

2.124

Use the frequency distribution to construct a histogram. Using a loose interpretation of the requirements for a normal​ distribution, does the histogram appear to depict data that have a normal​ distribution? Why or why​ not?

Answers

Answer: hello the complete question is attached below

answer:

Histogram B is the right histogram

Yes it approximately depict data that have a normal distribution

Step-by-step explanation:

The histogram when plotted is symmetric which means/depicts that the data provided have a normal distribution ( approximately )

A histogram is one of the graphical ways of representing data for easy reading and interpretation.

cos(x+pi/3)-sin2x=0 ahihihihihihiihihihihihih

Answers

Answer:cos(x+pi/3) - sin2x=0

<=> cos(x+pi/3)=sin2x

<=> cos(x+pi/3)=cos(pi/2-2x)

<=>x+pi/3=pi/2-2x+k2pi

Or x+pi/3=-pi/2 +2x+k2pi

<=>x=pi/18 + k2pi/3

Or x=5pi/6 +k2pi

Step-by-step explanation:

What is cos 0 when sin 0= 2/3

Answers

Answer:

your answer is √7/3

Step-by-step explanation:

your answer is √7/3

Let r be the binomial random variable corresponding to the number of people that will live beyond their 90th birthday,
r ≥ 15.


We want to find
P(r ≥ 15)
using the normal approximation given 625 trials and a probability of a 4.4% success on a single trial.

Answers

Answer:

P(r ≥ 15) = 0.9943.

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

625 trials and a probability of a 4.4% success on a single trial.

This means that [tex]n = 625, p = 0.044[/tex]

Mean and standard deviation:

[tex]mu = E(X) = np = 625*0.044 = 27.5[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{625*0.044*0.956} = 5.13[/tex]

P(r ≥ 15)

Using continuity correction, this is [tex]P(r \geq 15 - 0.5) = P(r \geq 14.5)[/tex], which is 1 subtracted by the p-value of Z when X = 14.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14.5 - 27.5}{5.13}[/tex]

[tex]Z = -2.53[/tex]

[tex]Z = -2.53[/tex] has a p-value of 0.0057

1 - 0.0057 = 0.9943

So

P(r ≥ 15) = 0.9943.

The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is modeled by , where t is measured in years since 1990. Discuss the meaning of . Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020

Answers

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

[tex]$\frac{dP(t)}{dt}=200e^{0.02t}$[/tex]  in 1990.

Now integrating,

[tex]$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$[/tex]

                    [tex]$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$[/tex]

                   [tex]$=10,000[e^{0.4}-1]$[/tex]

                    [tex]$=10,000[0.49]$[/tex]

                    =4900

[tex]$\frac{dP(t)}{dt}=200e^{0.02t}$[/tex]

[tex]$\int1.dP(t)=200e^{0.02t}dt$[/tex]

[tex]$P=\frac{200}{0.02}e^{0.02t}$[/tex]

[tex]$P=10,000e^{0.02t}$[/tex]

[tex]$P=P_0e^{kt}$[/tex]

This is initial population.

k is change in population.

So in 1995,

[tex]$P=P_0e^{kt}$[/tex]

   [tex]$=10,000e^{0.02(5)}$[/tex]

   [tex]$=11051$[/tex]

In 2000,

[tex]$P=10,000e^{0.02(10)}$[/tex]

   [tex]=12,214[/tex]

Therefore, the change in the population between 1995 and 2000 = 1,163.

The formula for the surface area of a cylinder is:

SA = 2π r 2 + 2πrh note: that π= 3.14

a. Solve for h showing all work.







b. If the height of a can of soup is 5 inches and the radius is 1.5 inches, what is the surface area?

Answers

Answer:

Below in bold.

Step-by-step explanation:

a. SA = 2π r^2 + 2πrh

2πrh = SA - 2π r^2

h = (SA - 2πr^2)/2πr

When π = 3.14 we have

h = (SA - 6.28r^2)/ 6.28r

b. SA = 6.28*1.5^2 + 6.28*1.5* 5

= 61.23 in^2

Other Questions
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