1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
3 years ago
15

60 POINTS PLEASE HELP FAST!!!! write the equation of a line in standard form that passes through the points (-4,-1) and (1.5,2)

Mathematics
1 answer:
liraira [26]3 years ago
5 0
You find your slope with the equation

(y2-y1)/(x2-x1)

(-1-2)/ -4-1.5)

(-3)/(-5.5)

.54x is your slope

you then plug that into your equation.

y=mx+b

y=.54x+b

you substitute one of our coordinates.

(-4,-1)

-1=.54(-4)+b

-1=-3.45+b

+3.45

2.45=b

your equation is

y=.54x+2.45

standard form


y-.54x=2.45
You might be interested in
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
PLEASE HELP ASAP
Shtirlitz [24]

Answer:

i think its photosinthisis because...

Step-by-step explanation:

Sometime around 3 billion years ago (about 1.5 billion years after Earth formed!), photosynthesis began. Photosynthesis allowed organisms to use sunlight and inorganic molecules, such as carbon dioxide and water, to create chemical energy that they could use for food.

Hope this helps and maybe a brainlest?

8 0
2 years ago
I have a question for 7th grade math that is do today.The math question is what is 56+(-56)=? I would guess it equals 0 but am I
qaws [65]

Answer:

56 + -56 = 0

Step-by-step explanation:

because when there is a negative and a positive you add them together getting 0

Sorry its hard to explain but yes you are correct

I hope this helps

Have a great day!

3 0
3 years ago
Read 2 more answers
Is the relationship shown additive or multiplicative? explain
Jet001 [13]

What relationship are you talking about
5 0
3 years ago
In the equation y = 2(x + 5), if x is increased by 3, then y is increased by
Zielflug [23.3K]
Y is increased by 6 because if you imagine x being 3 then y would = 16 but if you increase x by 3 making 6 then y would = 22 and 16 increased by 6 is 22
8 0
3 years ago
Other questions:
  • Brain decided to file a claim after his car was damaged by hitting a deer.
    10·1 answer
  • Which is greatest 3/5, 0.70, or 65%? Tell how you know.
    8·1 answer
  • Please help me I am having trouble , thank u
    6·2 answers
  • 6x-12+2x=3+8x-15 please
    7·2 answers
  • Which of the following expressions represents the GCF of 91x 2 y and 104xy 3?
    5·2 answers
  • Put these numbers in order from greatest to least.6, -9/36, 21/25
    7·2 answers
  • -3(2x+7)=-51 what does x=
    8·1 answer
  • I need help with the bottom three.
    5·1 answer
  • The vertices of triangle IJK have coordinates I(−5, −2), J(−5, −4), and K(−4, −4).
    11·1 answer
  • Please help! Really easy math, need it asap!!! It's in the picture
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!