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3 years ago

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1. A student lifts a box of books that weighs 200 N. The box is lifted 2.5 m. How much work

1 answer:

Angelina_Jolie [31]3 years ago

7 0

The student does a work of 500 Newton meter on the box.

Step-by-step explanation:

Given,

Weight of box of books = force = 200 N

Distance the box is lifted = 2.5 m

Work done = Force * distance

Work done = $200*2.5$

Work done = 500 Newton-meter

Newton meter is same as Joule.

Work done = 500 Joules

The student does a work of 500 Newton meter on the box.

Keywords: multiplication, work done

Learn more about multiplication at:

#LearnwithBrainly

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Situation B: Suppose that 40% of Missourians favor increasing the minimum wage. Twelve Missourians are selected at random and as

yulyashka [42]

Answer:

14.19% probability that exactly three of the twelve support the increase.

Step-by-step explanation:

For each Missourian, there are only two possible outcomes. Either they support the increase, or they do not. The probability of a Missourian supporting the increase is independent of other Missourians. So we use the binomial probability distribution 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.

40% of Missourians favor increasing the minimum wage.

This means that $p = 0.4$

Twelve Missourians are selected at random and asked whether they support the increase.

This means that $n = 12$

Find the probability that exactly three of the twelve support the increase.

This is P(X = 3).

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

$P(X = 3) = C_{12,3}.(0.4)^{3}.(0.6)^{9} = 0.1419$

14.19% probability that exactly three of the twelve support the increase.

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3 years ago

Please Help !! <br>The picture of the question is attached.

kirza4 [7]

Answer:

x = 90°

Step-by-step explanation:

Using the identity

cos²x = 1 - sin²x

Given

cos²x - sin x + 1 = 0

1 - sin²x - sin x + 1 = 0

- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )

sin²x + sin x - 2 = 0 ← in standard form

(sinx + 2)(sinx - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1

sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°

solution is x = 90°

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Answer:AB is the shortest segment in ABC

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Serggg [28]

Answer:

I believe the answer is C, -4/5.

Step-by-step explanation:

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