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maria [59]
3 years ago
6

Solve.

Mathematics
1 answer:
Tema [17]3 years ago
4 0
From 1st equation
d + e = 2
d = 2 - e

From 2nd equation, subtitute d with 2 - e
d - e = 4
2 - e - e = 4
2 - 2e = 4
-2e = 2
e = -1

Find d
d = 2 - e
d = 2 - (-1)
d = 3

The solution is (3,-1)
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<u>Given</u>:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

<u>Proportion to find the value of a:</u>

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

\frac{18}{a}=\frac{a}{16}

Thus, the proportion used to find the value of a is \frac{18}{a}=\frac{a}{16}

Hence, Option D is the correct answer.

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Lanie’s room is in the shape of a parallelogram.
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Answer:yes 108 is more than 60

Step-by-step explanation:

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Each day Marisa runs the same distance. She ran 35 miles in the last 5 days. What is the unit rate?
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In a survey, three out of four students said that courts show too much concern for criminals. Of seventy randomly selected stude
vladimir1956 [14]

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B. Yes, because P(X ≥ 68) ≤ .05

Step-by-step explanation:

The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

Three out of four students said that courts show too much concern for criminals. This means that p = \frac{3}{4} = 0.75

Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?

We have to find P(X \geq 68).

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70)

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

P(X = 68) = C_{70,68}.(0.75)^{68}.(0.25)^{2} < 0.000001

P(X = 69) = C_{70,69}.(0.75)^{69}.(0.25)^{1} < 0.000001

P(X = 70) = C_{70,70}.(0.75)^{70}.(0.25)^{0} < 0.000001

So

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70) < 0.000003

P(X \geq 68) is lower than 0.05, so this is an unusually high number.

So the correct answer is:

B. Yes, because P(X ≥ 68) ≤ .05

5 0
3 years ago
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