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3 years ago

I need to know the answer and how to solve it

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

First of all, read the statement and understand what it means.

"The temperature was at least 36 degrees" means the temperature was 36 degrees or more, that is, "greater than or equal to 36 degrees".

Second. understand that we are comparing "temperature" to "36 degrees". That is, the variable will represent temperature. I like to use single-letter variable names that remind me of what they represent, so I would choose "t" or "T". You can use "kay" to remind you of something hot, or "splat" or "q" or anything else you might choose. It doesn't have to be a single letter, nor does it have to make any sense. (Later, when you revisit the problem, it works better if it *does* make sense.)

We've already figured out we want the comparison to be "greater than or equal to", so we need both the > symbol and the = symbol.

Of course, the number is 36, since you are told to use the number given. In some problems, you may want to convert the number to different units before you put it in the comparison.

T ≥ 36

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3 years ago

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Approximately 5% of workers in the US use public transportation to get to work. You randomly select 25 workers and ask if they u

trasher [3.6K]

Answer:

0.2305 = 23.05% probability that exactly 2 workers say yes.

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they say yes, or they say no. The probability of a worker saying yes is independent of any other worker, 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.

5% of workers in the US use public transportation to get to work.

This means that $p = 0.05$

You randomly select 25 workers

This means that $n = 25$

Find the probability that exactly 2 workers say yes.

This is P(X = 2). So

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

$P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305$

0.2305 = 23.05% probability that exactly 2 workers say yes.

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3 years ago

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Answer:

Step-by-step explanation:

Because base x height gives the area of the rectangle, we can use the same measurements on the parallelogram to compute its area: base x height. (As before, "height" is measured perpendicular to the base, and "base" is whichever side you chose first.)

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3 years ago

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$