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3 years ago

The midpoint of A (-4, 2) and B(8, 5) is A.(2, 7/2) B.(-6, 3/2) C.(4, 7/2)

2 answers:

8 0

The midpoint of two points can be obtained by taking the average between the two abscissas or two ordinates. In this case ,the x-value of the midpoint is equal to (-4+8)/2 equal to 2 while the y-value of the midpoint is equalto (2+5)/2 equal to 7/2. Hence the answer is A.

denpristay [2]3 years ago

7 0

Midpoint = (-4+8/2 , 2+5/2)
= (4/2, 7/2)
= (2, 7/2)
A. (2, 7/2)

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The probability of an event - picking teams. About (a) 10 kids are randomly grouped into an A team with five kids and a B team w

LuckyWell [14K]

Answer: The required probability is $\dfrac{4}{9}$

Step-by-step explanation:

Since we have given that

Number of kids = 10

Number of kids in Team A = 5

Number of kids in Team B = 5

There are three kids in the group, Alex and his two best friends Jose and Carl.

So, number of favourable outcome is given by

$2(\dfrac{8!}{3!\times 5!})$

Total number of outcomes is given by

$\dfrac{10!}{5!\times 5!}$

So, the probability that Alex ends up on the same team with at least one of his two best friends is given by

$\dfrac{2(\dfrac{8!}{5!\times 3!)}}{\dfrac{10!}{5!\times 5!}}\\\\=2\times \dfrac{8!}{3!}\times \dfrac{5!}{10!}\\\\=\dfrac{4}{9}$

Hence, the required probability is $\dfrac{4}{9}$

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3 years ago

At the scene of a crime, the police have found a blood stain, a footprint, and some threads from a fabric. All are presumed to h

zubka84 [21]

Answer:

There is a 0.175% chance of finding such a person who has all three characteristics.

Out of 4,000 people, 7 people would likely to match all three characteristics.

Step-by-step explanation:

A crime has been committed and after analyzing the evidence, police has found out that:

The criminal's blood type is a type found in only 10% of the population.
The criminal's footprint is a size 13 men's shoe and only 7% of the population wears such shoe size.
Only 25% of the population owns clothing made from a fabric that matches the thread samples found at the scene.

We required to find out the probability of selecting a random person who would match all of these characteristics.

Since it is given that the three characteristics are independent of each other then the required probability is

P(all 3 characteristics) = P(1st characteristic)*P(2nd characteristic)*P(3rd characteristic)

P(all 3 characteristics) = (10/100)*(7/100)*(25/100)

P(all 3 characteristics) = 1750/1,000,000

P(all 3 characteristics) = 7/4000

P(all 3 characteristics) = 0.00175

P(all 3 characteristics) = 0.175%

So out of 4,000 people, 7 people would likely to match all three characteristics.

There is a 0.175% chance of finding such a person who has all three characteristics

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3 years ago

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dedylja [7]

Is the first one, not periodic

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3 years ago

6.) (-2)4 + (-10) ÷ (-3 + -1 + -1)

Licemer1 [7]

Step-by-step explanation:

(-2)4 = -8
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-18 divide by -5= 18/5

7 0

3 years ago

Read 2 more answers

Factor this expression completely. Write the factored expression in the space provided.

Luba_88 [7]

Answer:

Step-by-step explanation:

So let's factor!

Let's see whats this about...

$3x^{3} +15x^{2} +18x\\3x(x^{2} +5x+6)\\3x(x-1)(x+6)$

So, there you go!

sorry if this did not make sense...

What I did was essentially factor out 3x first, and then factor the second product by grouping.

Hope this Helps!

P.S. Stay Safe!

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3 years ago