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
8090 [49]
3 years ago
11

Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the point

s used to determine the slope and how the equation was determined.

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer: ŷ = 0.96185X + 3.55949

Step-by-step explanation:

From the plot provided : our points are;

(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)

According to relation:

Y = mx +c

Using the online linear regression calculator

ŷ = 0.96185X + 3.55949

The gradient or slope (m) = 0.96185

m = (y2 - y1) / (x2 - x1)

You might be interested in
Why does it take more centimeters than inches to measure the same distance?
MaRussiya [10]
Because 1 centimeter is smaller than 1 inch, so more centimeters than inches can fit in a given distance. 
6 0
3 years ago
20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below an
blsea [12.9K]

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

3 0
3 years ago
At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper
Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution 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.

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

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

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that p = 0.3

14 of these containers of paper.

This means that n = 14

What is the probability that John finds less than 7 golden sheets of paper?

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

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

P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068

P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407

P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134

P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943

P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290

P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963

P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067

90.67% probability that John finds less than 7 golden sheets of paper

7 0
2 years ago
Tim is training for a marathon, He ran 24 miles in 5 days, if he ran the same distance each diay, how far did he run per day?
malfutka [58]

Answer:

I believe its 4.8, which is confusing seeing as its not an option.

Step-by-step explanation:

If he ran 24 miles in 5 days, divide 24 by 5 to get your answer.

7 0
3 years ago
A house and lot together cost more than $89,000. The house cost $1000 more than seven times the cost of the lot. How much does t
julia-pushkina [17]
12,571.4286 you subtract 1000 from the total, and divide by 7.
6 0
3 years ago
Other questions:
  • Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta
    13·1 answer
  • the summer solstice can occur on any day of the week, with each day being equally likely. what is the propability the summer sol
    7·1 answer
  • PLS HELP ME 6, 7, and 8 (SHOW WORK!!) + LOTS OF POINTS + THANKS! + BRAINLIEST IF POSSIBLE!
    5·2 answers
  • Why 9 is a square number plot
    15·1 answer
  • Please Help <br> Select the correct answer.
    9·1 answer
  • ASAP <br> what is 2617.99 rounded tenth?
    12·2 answers
  • How many kilograms are there in 37 pounds?
    6·2 answers
  • Yo solve....14√x+15 = 71
    11·1 answer
  • Find the GCF of the following set of numbers <br> 260, 80, 50
    14·2 answers
  • What is the surface area of the triangular prism?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!