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3 years ago

Find the missing side of the right triangle. Round to the nearest tenth if necessary.

Mathematics

1 answer:

VashaNatasha [74]3 years ago

8 0

Answer:

7.1 cm

Step-by-step explanation:

As it is a right-angled triangle, you can use the Pythagoras theorem to work out the last side. The formula is A^2 x B^2 = C^2, where C is the hypotenuse (longest side).

5^2 is 25, and as you have two of those sides you double 25 to give you 50, which is C^2. To get C, you have to square root 50, which is 7.07106781187 cm or 7.1 cm to the nearest 10th.

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Suppose that a recent poll found that 49% of adults believe that the overall state of moral values is poor. Complete parts (a)

Lunna [17]

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 250, p = 0.49$

$E(X) = np = 250*0.49 = 122.5$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9$

The mean of X is 122.5 and the standard deviation is 7.9.

3 0

3 years ago

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

4vir4ik [10]

Essentially, you can always tell a thing's position by 3 coordinates. We also say that our world is three-dimentional: it has three dimensions -that's why three coordinates are needed. If something is on a flat surface, you know its one coordinate (all points on the same surface have the same coordinate) so you only need two more (you can call them vertical and horizontal)

5 0

3 years ago

9. Two fair dice are rolled. Find the odds of rolling the following sums.

Pavel [41]

(a) 1/12
(b) 3/12=1/4
(c) 2/12 = 1/6
(d) 3/12 + 3/12 = 6/12 = 1/2

I think it’s right ???

6 0

2 years ago

Two angles in a triangle have measures of 42 and 82 what is the measure of the third angle

skelet666 [1.2K]

Answer:

angles of the triangle are equal 180

so 42+82=124

180-124=56

so the answer is 56

Step-by-step explanation:

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3 years ago

A bag has four balls labeled A, B, C, and D.

denis-greek [22]

Answer:

Step-by-step explanation:

7 0

2 years ago