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
Naddika [18.5K]
3 years ago
14

Given the slope and one point on the line:

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

y= -2x + 11

Step-by-step explanation:

standard form for lines is y=mx+b

m is the slope and b is the y intercept

we already know that m is -2, so we just need to figure out the intercept.

the point given is (7,-3)

points are written as (x,y) so we can plug it into the equation with 7 for the x and -3 for y

-3 = -2 (7) + b

-3 = -14 + b

11 = b

so the equation is y=-2x+11

You might be interested in
A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with
Ratling [72]

Answer:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10.5,0.3)  

Where \mu=10.5 and \sigma=0.3

We are interested on this probability

P(X>10.983)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

8 0
3 years ago
A ball, with an initial position of x = 25.89 meters, undergoes a displacement of 32.2 meters. What is it’s final position?
Snowcat [4.5K]

Answer:

The answer is 58.09

Step-by-step explanation:

To get the final position, you add the displacement to the initial position.

Final position = 25.89 + 32.2

Final position = 58.09metres

4 0
3 years ago
How many feet are in 96 inches?
Alik [6]
8 because 12x8=96 and 12 inches in a foot

4 0
3 years ago
Read 2 more answers
Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t
Margarita [4]

Answer:

2) 0.8/8+x=5/100

Step-by-step explanation:

4 0
3 years ago
(2+i \sqrt{2}), (2- i\sqrt{2} )
juin [17]
Idk hi what’s up with y’all and josh
7 0
3 years ago
Other questions:
  • Norma practices violin for 50 minutes every day. how many minutes does Norma practice violin in 7 days ?
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20-%207%20%3D%204" id="TexFormula1" title=" \frac{x}{5} - 7 = 4"
    14·1 answer
  • Can somebody help me with this math problem?
    14·2 answers
  • Is 128 is a perfect cube​
    14·2 answers
  • Select a composite number to break into factors. Continue<br>factoring until all factors are prime.​
    13·1 answer
  • Circle the common factors of 20w and 40wz. Options are 10, 20w, 10xz, 5z, 2w, z, 9w, or w. Can you please explain how you guys g
    13·2 answers
  • What is 5.1234 roundd to the thousands
    7·1 answer
  • On Thursday, a restaurant serves iced tea to 65 of its 245 customers. What percent of the customer ordered iced tea? Round to th
    8·1 answer
  •  Kiba and Akamura went out to eat. Their bill was $ 59.76. If Kiba leaves a 7% tip and 8% tax, how much did he pay in total?
    11·1 answer
  • V = 7 + b whats the answer plz help me
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!