Point A is at (3,-8) and point B is at (5,-2.5). What is the midpoint of line segment AB?

Answers

Answer 1

Answer:

[tex]\displaystyle (4,-5.25)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point A(3, -8)

Point B(5, -2.5)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]:                                                       [tex]\displaystyle (\frac{3+5}{2},\frac{-8-2.5}{2})[/tex][Midpoint] Add/Subtract:                                                                                [tex]\displaystyle (\frac{8}{2},\frac{-10.5}{2})[/tex][Midpoint] Divide:                                                                                           [tex]\displaystyle (4,-5.25)[/tex]

Related Questions

Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.

Answers

Answer:

24.5%

Step-by-step explanation:

Simple Interest = (principal×rate×time)÷100. *Brackets First*

Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).

Plug in values: rate = (100×37975) ÷ (31000×5).

The result is 24.5%.

At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

Answers

Answer:

0.9398 = 93.98% probability that the student is not of Asian origin.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Business student

Event B: Not of Asian origin.

Probability that the student is an undergraduate majoring in business.

15% of 13%(Of Asian origin).

35% of 100 - 13 = 87%(Not of Asian origin). So

[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]

Business student and not of Asian origin:

35% of 87%. So

[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]

One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]

0.9398 = 93.98% probability that the student is not of Asian origin.

Helppp me on this question please

Answers

Answer:

2.704

Step-by-step explanation:

when dividing by 10 with exponents, you place a decimal point starting from the ones, going left the amount of the exponent. hope that made sense!

Answer:

2.704

Step-by-step explanation:

equation:

2704 ÷ [tex]10^{3}[/tex]

steps:

⇒ 2704 ÷ (10 x 10 x 10)

⇒ 2704 ÷ 1000

⇒ 2.704

6312 divided by 8 how do u break it down

Answers

Answer:

789

Step-by-step explanation:

Answer:

789

Step-by-step explanation:

8 goes into 63 7 times which is 56. 63 - 56 is 7. Bringing down the 1 makes it 71, 8 goes into 71 8 times, which is 64. 71 - 64 is 7. Lastly bringing down the 2 is 72. 8 goes into 72 9 times. So, you get the numbers 789.

What is a the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2

Answers

Answer:

Step-by-step explanation:

y+4 = 3(x-2)

Helppp please on this question

Answers

Answer:

Answer h = 34 i hope it is helpful have a nice day

Answer:

h = 34

Step-by-step explanation:

64 = h + 30

64-30 = h

34 = h

h = 34

Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.
a. Let A be the event that all the parts fall into the same category. List the outcomes in A.
b. Let B be the event that there is one part in each category. List the outcomes in B.
c. Let C be the event that at least two parts are conforming. List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂Cc
h. List the outcomes in Ac⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.

Answers

Answer:

a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d. Outcomes of A⋂C = { (C,C,C) }

e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }

h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}

i. Events A and C are not mutually exclusive

j. Events B and C are mutually exclusive

Step-by-step explanation:

Given - Three times each day, a quality engineer samples a component

             from a recently manufactured batch and tests it. Each part is

             classified as conforming (suitable for its intended use),  

             downgraded (unsuitable for the intended purpose but usable for  

             another purpose), or scrap (not usable). An experiment consists

             of recording the categories of the three parts tested in a particular

              day.

To find - a. Let A be the event that all the parts fall into the same

                  category. List the outcomes in A.

              b. Let B be the event that there is one part in each category.

                  List the outcomes in B.

              c. Let C be the event that at least two parts are conforming.

                  List the outcomes in C.

              d. List the outcomes in A⋂C

              e. List the 27 outcomes in the sample space.

               f. List the outcomes in A U B.

              g. List the outcomes in A⋂[tex]C^{c}[/tex]

              h. List the outcomes in ⋂C.

              i. Are events A and C mutually exclusive? Explain.

              j. Are events B and C mutually exclusive? Explain.

Proof -

Let

Conforming part = C

Downgraded part = D

Scrap part = S

a.)

Given , Let A be the event that all the parts fall into the same category.

Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b.)

Given, Let B be the event that there is one part in each category.

Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c.)

Given,  Let C be the event that at least two parts are conforming.

Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d.)

Outcomes of A⋂C = { (C,C,C) }

e.)

Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f.)

Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g.)

Outcomes of [tex]C^{c}[/tex]  =  {  (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }

h.)

Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C),  (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }

Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

i.)

As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅

Now,

A ∩ C = { (C,C,C) }

⇒Events A and C are not mutually exclusive.

j.)

As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅

Now,

B ∩ C = ∅

⇒Events B and C are mutually exclusive.

Can someone help me with these two one step equations? I will give brilliant

Answers

P-88.66

Step to solution= calculate 23.76 - 64.9 then just add the answer which is 88.66 and p

Answer:

1.) p = 88.66

2.) m = 17

Step-by-step explanation:

1.) p - 23.76 = 64.9

p - 23.76 + 23.76 = 64.9 + 23.76

p = 88.66

2.) m + 78 = 95

m + 78 - 78 = 95 - 78

m = 17

Hope this helps and stay safe, happy, and healthy, thank you :) !!

Which of the following is a true polynomial identity?
a) a^6+b^6 = (a^2 + b^2)(a^4 + a^2b^2 + b^4)
b) a^6 - b^6 = (a^2+b^2)(a²-ab+b²)(a²+ab + b²)
c) a^6 - b^6 = (a³-b³)(a-ab+b)(a²+ab+b²)
d) a^6 - b^6 = (a²-b²)(a²-ab+b^2)(a^2+ab+b^2)​

Answers

c or d i think is the correct answer

I need help Estimate 81/4 but into a number

Answers

so do 81 divided by 4 we know that 80 divided by 4 is 20 so it would be 20 and some change

g(n) = 4n
f(n) = 4n + 2
Find g(f(n))

Answers

Answer:

16n + 8

Step-by-step explanation:

g(f(n)) = g(4n+2)

= 4(4n +2)

= 16n + 8

Can anyone please help with this? I will love you forever

Answers

Answer:

1 and 2, 3 and 4, 5 and 6, 7 and 8

Step-by-step explanation:

Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary

2, 3, 6, 7 are the correct answers!Angle 1 + (Any of the angles I mentioned) = 180 degreesPlease let me know if I am wrong.

In a choir, the ratio of men to women is 4:3
The ratio of women to children is 5:9
What is the ratio of men to children?

Answers

20:27 that’s men:children

Answer:

4:9

Step-by-step explanation:

There's 4 of men and 9 to children and 5 of women

What is the answer to -4(m+6) = -8

Answers

Answer:

m= -4

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

4(+6)=−8

4+24=−8

4+24=−8

4+24−24=−8−24

Subtract the numbers

4m = -32

please help asap !!!!!!

Answers

Answer:

62 degrees

Step-by-step explanation:

so that means it is

31*2= 62 degrees(arcs)

if my answer helps please mark as brainliest.

Answer:

119

Step-by-step explanation:

Angle ADC is 61 degrees and Angle ABD is 180. 180-61 so the answer will be 119.

A radio station plays 3 commercials for every 8 songs it plays. If they played 72 songs during the morning segment, how many commercials did they play?

Answers

Answer:

27

Step-by-step explanation:

The cargo of the truck weighs at most 2,900 pounds. Use w to represent the weight (in pounds) of the cargo.

The cruising speed of the bullet train will be no less than 160 miles per hour. Use s to represent the train's cruising speed (in miles per hour).​

Answers

Answer:

hi peps

Step-by-step explanation:

Use A=Pe^rt to solve
Find the accumulated value of an investment of $3000 at 4% compounded annually for 12 years.
A) $4618.36
B) $4320.00
C) $4440.00
D) $4803.10

Answers

Answer:

a

Step-by-step explanation:

The answer is A (ignore this sjsjxjxndjfsfhfkhxkyxkhxohdohdohd)

Pleaseeeeeeee help me on thissssss i need helpppppp

Answers

the first step is to divide by four to both sides

What is the solution of x + 9 < 5?

Answers

Answer:

x < -4

Step-by-step explanation:

First step is to subtract 9 from each side to isolate the variable, x.

x + 9 - 9 < 5 - 9

Solve

x < -4

hope this helps :)

p.s. i really need brainliest

Use a double number line to answer Problem 1-5.


Tanner collected 360 cans and bottle while fundraising for his baseball team. This eas 40% of what Reggie collected. How many cans and bottles dif Reggie collect?​

Answers

Answer:

900 cans and bottles.

Hope that helps!

Step-by-step explanation:

360 / 4 = 90

90 x 100 = 900

Hope that helps!

What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

I NEED THIS ASAP

Answers

Answer:

[tex]H = 53.30[/tex]

Step-by-step explanation:

Given

[tex]Side\ 1 = 7x + 41[/tex]

[tex]Side\ 2 = 5x[/tex]

Required

Determine side x

The hypotenuse (H) is calculated using:

[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]

Substitute 9 for x:

[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]

[tex]H^2 = 10816 + 2025[/tex]

[tex]H^2 = 12841[/tex]

So:

[tex]H = \sqrt {2841[/tex]

[tex]H = 53.30[/tex]

The two columns below give fertility of eggs of the CP strain of Drosophila melanogaster raised in 100 vials of 10 eggs each (data from R.R. Sokal). Find the expected frequencies, assuming that the mortality for each egg in a vial is independent. Use the observed mean. Calculate the expected variance and compare it with the observed variance. Interpret the results, knowing that the eggs of each vial are siblings and that the different vials contain descendant from different parent pairs. Answer: o2 = 2.417; s2 = 6.628.
Number of Eggs Hatched Number of Vials f Expected Frequency of vials
0 1
1 3
2 8
3 10
4 6
5 15
6 14
7 12
8 13
9 9
10 9

Answers

Solution :

Given the number of the edges are = 11

Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]

And the number of the vials total is = 100

Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]

From the table provided below, we can obtained :

1. Null hypothesis and alternate hypothesis :

The following null and alternate hypothesis needs to be tested :

[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]

[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.

2. Rejection region :

It is given --

significance level, α = 0.05

number of degrees of freedom, df = 11 - 1

                                                         = 10

Then the rejection region of this test is :

[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]

3. Test statistics

The Chi-Squared statistics is computed as :

[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]

    [tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]

    = 21.638

4. Decision about null hypothesis

Since we see that :    [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.

5. Conclusion :

It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.

In 2012, 31% of all traffic fatalities involved a drunk driver. Suppose a random sample of 400 traffic
fatalities is taken. Determine the probability that 132 or fewer of the 400 traffic fatalities involved
a drunk driver.

Answers

My name is Ankush kumar I am A boy

tfewfgeeffeefefefwefwewwefewewfefwfew

Answers

Answer:

I understand your pain

Step-by-step explanation: sadge

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

Answer:

7w

Step-by-step explanation:

1w + 1w +5w = 7w, add all of the w's up

The opposite sides of a parallelogram
are

Answers

Answer:

Parallel

Step-by-step explanation:

In a parallelogram there are two sets of parallel lines, and they are always opposite sides.

For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel

les What is the area of the triangle?​

Answers

Answer: 48


Explanation: to find the area you do 12x8 which equals 96 then divide that number by 2, to get 48

Answer:

48 cm² is the correct answer.

Pls help due in 5 min

What is the total amount of the most common amount and the least common amount of milk drank daily?

Answers

Answer:

50/87

Step-by-step explanation:

John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.

Diameter of 24

76 in
75.4 in
38
37.7

Answers

Answer:

75.4

Step-by-step explanation:

Diameter * pi = circumference.

Other Questions
Spanishhhhh helpppppppp plsssssssssss PLS HELP IM STUCK ITS DUE IN TWO MINUTES!!Read the passage below. The story:The police officer was ready for his first day at work. He put on his new uniform and got ready to drive to the station. Just as he was pulling into the parking lot, he realized that he had forgotten his badge! How was he going to get in? How could he forget such an important part of his uniform?As he was trying to figure out what to do next, Karine, another new officer, pulled up next door. Max, what are you doing in there? She asked. He shyly mentioned that he had forgotten his badge and was trying to figure out what to do. Oh, Max, Karine giggled, dont worry! We dont have our official badges yet. Lets go inside and get them!Once you have read the story, explain what episodes show the climax of the story. Explain your answer in 1-2 sentences. Pls help will mark brainliest Savannah has $92,637 in a savings account that earns 9% annually. The interest is not compounded. How much interest will she earn in 5 years 11. Which of the following scenarios best illustrates the prewriting strategy of brainstorming?O A. Kanice writes a paragraph of her moughts on the topic of fashion trends.OB. Maurice looks up what other writers have had to say on the topic of winter holiday celebrations around the world.OC. Puja writes her topic - self-driving cars - in a bubble in the center of a page and surrounds that bubble with relatedD. Jose makes a list of everything he can think of on the topic of planting trees Can you help me with this question please What level of stress is typically most productive? The solution of f (x) = -3 (2)^x and g(x) =x-14 is x = ____ First one to answer gets BRAINLIEST no cap look at the picture. What is the author's main purpose in the text?i just need points sorry What empire did the Ottomans conquer to occupy Constantinople? Felicia and gabriella are on the hamilton middle school basketball team. The box plots show the number of points they scored in 8 basketball games. The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data? If you are being paid $55 for a days work which is an 8 hour shift how much would you get paid if you only worked 6 hours? Why does Hamilton need votes to get the federal government to assume the debts of the states? Using complex or fancy words will likely _______________.a.make your listeners think you are smartb.make your message unclearc.help your listeners to understand your messaged.keep your listeners' attention Hayley loves to shop for make up. She went to her favorite store and bought eye shadow for $5.99, 2 bottles of nailpolish for $7.50 each and a tube of mascara for $8.50. She had a 20% discount coupon. Create and solve an equation to determine how much was her purchase after the discount was applied. Solve the linear equation 2(3x + 2) = 2x 1 + x. State the property that justifies your first step and why youchose it. Would anyone like a brainliest?Or whoever guesses my favorite season first gets it. If you answer this you will get 69 points but please answer asap