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djverab [1.8K]
3 years ago
7

The endpoints of RS are R: (9,-4) and S: (2, -8).

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:

B, (11/2,-6)

Step-by-step explanation:

to get the midpoint of two endpoints, simply take the average of each corresponding coordinate

midpoint: ((Rx+Sx)/2,(Ry+Sy/2)).

((9+2/2),(-4+-8/2)) = (11/2,-12/2) = (11/2,-6)

the midpoint formula in general is : ((x+x1)/2),(y+y1)/2))

where x1 is the initial or first x coordinate, y1 is the initial or first y coordinate, x is the second, last, or final x coordinate. and y is the second, last, or final y coordinate.

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I'm giving brainliest to the most helpful answer. For 50 points:
Alenkinab [10]

Answer:

1) \displaystyle\frac{5}{18}\approx27.78\%

2) \displaystyle\frac{4}{7}\approx57.14\%

3) \displaystyle  \frac{13}{16}=81.25\%

Step-by-step explanation:

We are given a two-way frequency table. Using the table, we will determine the probability for each case.

Question 1)

P(A Student With A Part Time Job Without A Car)

Using the first column, the total number of students that have a part time job is 78+30=108.

Likewise, using the first column, we can see that out of those 108 students, 30 do not have a car.

Hence, the probability that a student with a part time job without a car is:

\displaystyle P=\frac{30}{108}=\frac{5}{18}\approx27.78\%

Question 2)

P(No Car | Does Not Have A Part Time Job)

Remember that the vertical line means conditional probability.

So, we want the probability of a student having no car given that they do not have a part time job.

Using the second column, we can see that the total number of students that do not have a part time job is 18+24=42.

Likewise, using the second column, 24 do not have a car.

Hence, the probability that a student with a part time job without a car is:

\displaystyle P=\frac{24}{42}=\frac{4}{7}\approx57.14\%

Question 3)

P(Part Time Job | Car)

So, we want to probability of a student having a part time job given that they have a car.

Using the first row, the total students that have a car is 78+18=96.

And of those 96 students, 78 have a part time job.

Hence, the probability that a student with a car has a part time job is given by:

\displaystyle P=\frac{78}{96}=\frac{13}{16}=81.25\%

4 0
3 years ago
An arts academy requires there to be 5 teachers for every 115 students and 3 tutors for every . How many students does the acade
dexar [7]

Answer:

1.23

2. Question incomplete

3. Needs Question 2 to Answer

Step-by-step explanation:

1. 115÷5=23

3 0
3 years ago
It is 7 kilometers from kerrys house to the mall. About what is that distance in miles?
GenaCL600 [577]

Answer:

\huge\boxed{\approx 4.4 \  \text{miles}}

Step-by-step explanation:

In order to convert kilometers to miles, we can use a formula, assuming m is miles and k is kilometers.

m = \frac{k}{1.609}.

Since we know the kilometer reading (7), we can divide this by 1.609 to get our total miles.

7 \div 1.609 \approx 4.4

Hope this helped!

3 0
3 years ago
What is 125% written as a fraction and a decimal
mihalych1998 [28]
125% as a fraction would be 125/100, which you can simplify to 5/4, or 1 1/4.
125% as a decimal would be 1.25, because you would do the sum 125 ÷ 100 = 1.25

I hope this helps!
5 0
3 years ago
Read 2 more answers
Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batch
velikii [3]

Answer:

Wendy will think cookie club chocolate cookies are not chocolatey enough

Step-by-step explanation:

Wendy thinks the perfect chocolate chip cookie has 35 chocolate chips for every 5 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100 chocolate chips and 15 ounces of dough. What will Wendy think about Cookie Club's cookies?

Perfect chocolate chip cookie=35 chocolate chips for every 5 ounces of dough

Wendy's perfect chocolate chip cookies = 35 chocolate chips for every 5 ounces of dough

= 35 : 5

=7:1

Cookie club chocolate chips cookies=100 chocolate chips for every 15 ounces of dough

=100 : 15

=20 : 3

Cookie club chocolate cookies have 3 times the amount of dough

Therefore,

Wendy will think cookie club chocolate cookies are not chocolatey enough

5 0
4 years ago
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