MATHEMATICS HIGH SCHOOL

Find the midpoint of A and B where A has coordinates (2,3) and B has coordinates (8,9).

Answers

Answer 1

Answer:

Midpoint of co-ordinate is (5, 6)

Given that;

Coordinates of A = (2,3)

Coordinates of B = (8,9)

Find:

Midpoint of co-ordinate

Computation:

Midpoint of co-ordinate = [(x1 + x2) / 2], [(y1 + y2) / 2]

Midpoint of co-ordinate = [(2 + 8) / 2], [(3 + 9) / 2]

Midpoint of co-ordinate = [10 / 2], [12 / 2]

Midpoint of co-ordinate = (5, 6)

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Answer 2

Answer:

Answer:

(5,6)

Step-by-step explanation:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

(2,3)

(8,9)

10 divided by 2=5

12 divided by 2 is 6

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Mark cycled 25 miles at a rate of 10 minutes per hour. How long dis it take Mark to cycle 25 miles

Answers

Answer:

2.5 hours.

Step-by-step explanation:

We have been given that Mark cycled 25 miles at a rate of 10 miles per hour.

To find how many hours Mark took to cycle 25 miles we will divide 25 by 10.

$\text{Time taken by Mark to cycle 25 miles}= \frac{25\text{ miles}}{10(miles)/(hour)}$

$\text{Time taken by Mark to cycle 25 miles}=\frac{25\text{ miles}}{10}* \frac{\text{hour}}{\text{miles}}$

Upon cancelling out miles from numerator and denominator we will get,

$\text{Time taken by Mark to cycle 25 miles}=(25)/(10) \text{ hour}$

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Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?0.005

0.015

0.245

0.735

Answers

Answer:

Option C is right answer

Step-by-step explanation:

Given that Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate.

Probability that Nathan is allergic to pennicillin and the test predicts it

=Prob (Nathan is allergic)*P(test predicts it correct)

= 0.75(0.98)

=0.245

Answer:

0.735

Step-by-step explanation:

plato

Melinda, a carpet installer, brings 270 square feet of carpet padding on an installation job. After the job is finished, she has 1⁄5 of the carpet padding left over. How many square feet of carpet padding did Melinda use? A. 230
B. 54
C. 216
D. 244

Answers

A correct option is an option (B).

Given,

The total area of the carpet is 270 square feet.

Fraction:

it is also termed as a portion or section of any quantity. It is denoted by using the ‘/’ symbol, such as a/b. For example, 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator. A fraction is a word that is originated from Latin. In Latin, “Fractus” means “broken”.

Now, $(1)/(5)$ of the carpet padding leftover.