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sweet [91]
3 years ago
10

I need the surface area again plz

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

31

Step-by-step explanation:

A=2(wl+hl+hw)

l -Length  

w-Width  

h-Height

A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31

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Need help with this question
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First, let's find the slope of the line using the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

((x_1, y_1) and (x_2, y_2) are points on the line)


In context of this problem, we can use the formula to find the slope of the line between the two points:

m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1


Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is (y - y_1) = m(x - x_1) where (x_1, y_1) is a point on the line)


In the context of the problem, we could use the formula to find the equation of the line:

(y - 6) = -1(x + 1)

(y - 6) = -x - 1

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The equation of the line is y = -x + 5.

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You invest $90 now its worth $150 the new value is what percent of the original value
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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
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Answer:

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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