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4 years ago

What is the length of the unknown side of the right triangle13172560

Mathematics

2 answers:

Elena L [17]4 years ago

5 0

I think it’s 17 or 13

andreyandreev [35.5K]4 years ago

4 0

Answer:

A.) 13

Step-by-step explanation:

c=√a2+b2

Hope This Helps! Have A Nice Day!!

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The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d

k0ka [10]

Part A:

From the central limit theorem, since the number of samples is large enough (up to 30), the mean of the the mean of the average number of moths in 30 traps is 0.6.

Part B:

The standard deviation is given by the population deviation divided by the square root of the sample size.

$standard \ deviation= \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{30}} = \frac{0.4}{5.477} =0.073$

Part C:

The probability that an approximately normally distributed data with a mean, μ, and the standard deviation, σ, with a sample size of n is greater than a number, x, given by

$P(X\ \textgreater \ x)=1-P(X\ \textless \ x) \\ \\ =1-P\left(z\ \textless \ \frac{x-\mu}{\sigma/\sqrt{n}} \right)$

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that <span>the average number of moths in 30 traps is greater than 0.7</span> given by:

$P(X\ \textgreater \ 0.7)=1-P(X\ \textless \ 0.7) \\ \\ =1-P\left(z\ \textless \ \frac{0.7-0.6}{0.073} \right)=1-P(z\ \textless \ 1.369) \\ \\ =1-0.91455=\bold{0.0855}$

7 0

4 years ago

According to a survey, 29% of people carry at least 1 reusable water bottle. If 5 people are selected randomly, what is the prob

Nitella [24]

Answer:

0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle

Step-by-step explanation:

We are given the following information:

We treat people carrying at least 1 reusable water bottle as a success.

P(people carry at least 1 reusable water bottle) = 29% = 0.29

Then the number of people follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 5

We have to evaluate:

$P(x \geq 2) =1- P(x < 2) \\=1 - \binom{5}{0}(0.29)^0(1-0.29)^5 + \binom{5}{1}(0.29)^1(1-0.29)^4\\=1- 0.1804 - 0.3684\\= 0.4512\\\approc 0.4$

0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle

6 0

3 years ago

kolezko [41]

Answer:

left 2 units, up 3 units

Step-by-step explanation:

(x-2, y+3)

-2 means 2 to the left

+3 means 3 up

So it would be left 2 units, up 3 units.

7 0

3 years ago

Read 2 more answers

An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. T

Ksenya-84 [330]

Let
x-------> <span>the length of the pond
</span>y-------> the width of the pond

we know that
[volume of the pond]=area of the base*deep
area of the base=volume/deep
volume=72000 in³
deep=24 in
area of the base=72000/24------> 3000 in²

area of the base=x*y
3000=x*y-------> equation 1
x=2y-----> equation 2

substitute equation 2 in equation 1
3000=[2y]*y------> 2y²=3000-----> y²=1500------> y=38.7 in
x=2y----> x=2*38.7----> x=77.4 in

the answer is
the length of the pond is 77.4 in
the width of the pond is 38.7 in

5 0

3 years ago

In the equation, y = mx + b, what does the "b" represent? *

natita [175]

where m is the slope of the line and b is the y-intercept. Hope that helps

5 0

3 years ago

Read 2 more answers

What is the length of the unknown side of the right triangle13172560​

What is the length of the unknown side of the right triangle13172560