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4vir4ik [10]
2 years ago
6

bennett was visiting five cities that lie on a coordinate grid at A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1). What is the midpo

int between A and E
Mathematics
1 answer:
bezimeni [28]2 years ago
5 0

The midpoint between A and E is (0,1)

<h3>How to determine the midpoint between A and E?</h3>

The coordinates of the cities are given as:

A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1).

From the above, we have:

A = (-2,3)

E = (2,-1)

The midpoint between A and E is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Substitute the known values in the above equation

Midpoint = 1/2 * (-2 + 2, 3 - 1)

This gives

Midpoint = 1/2 * (0, 2)

Evaluate the product

Midpoint = (0, 1)

Hence, the midpoint between A and E is (0,1)

Read more about midpoint at

brainly.com/question/5566419

#SPJ1

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Which products result in a perfect square trinomial? select three options. (negative x 9)(negative x minus 9) (x y x)(x y x) (2
erastovalidia [21]

The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)

<h3>What is an polynomial?</h3>

A polynomial is an expression that involves only the operations of a<em>ddition, subtraction, multiplication</em> of variables.

A perfect square trinomial is the square of a binomial

(x + y + x)(x + y + x) = (2x + y)²

(2x - 3)(-3 + 2x) = (2x - 3)²

(4y² + 25)(25 + 4y²) = (4y² + 25)²

The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)

Find out more on polynomial at: brainly.com/question/2972832

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4 0
2 years ago
Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
lisov135 [29]

Answer:

P(X = 0) = 0.03125

P(X = 1) = 0.15625

P(X = 2) = 0.3125

P(X = 3) = 0.3125

P(X = 4) = 0.15625

P(X = 5) = 0.03125

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used 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.

Fair coin:

Equally as likely to be heads or tails, so p = 0.5

5 tosses:

This means that n = 5

Probability distribution:

Probability of each outcome, so:

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

P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125

P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625

P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125

P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125

P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

5 0
3 years ago
Kari estimated the quotient of -12 1/5 divided by 4 2/5 to be -8. Which best describes her error?
liubo4ka [24]

Answer:

She divided wrong

Step-by-step explanation:

8 0
3 years ago
Solve for n.<br><br> -8n − n + -n − -12n = 14
MakcuM [25]
Your answer would be n=-1/5
4 0
3 years ago
Make a list of at least five words to match the following category.
frez [133]

Answer:

aroma.

bouquet.

fragrance.

perfume.

savor

Step-by-step explanation:

5 0
3 years ago
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