More probability and percentage help please? Thanks.

You are enclosing a rectangular garden with 180 feet of omamental fencing. The area of the garden is 1800 square feet. What are

Brut [27]

Answer:

Step-by-step explanation:

Perimeter is

P = 2L + 2W. We are given the perimeter as 180 feet, so

180 = 2L + 2W. Solve this for either L or W. I chose W, no reason...

180 - 2L = 2W so

90 - L = W Hold that thought. We'll come back to it in a minute.

Area is

A = LW. We are given the area as 1800 square feet, so

1800 = LW. Sub in 90 - L for W:

1800 = L(90 - L). Distribute to get a quadratic:

$1800=90L-L^2$

Get everything on one side and solve for the length by factoring:

$-L^2+90L-1800=0$

Factor this however you like to factor quadratics, to get the length of

L = 30 and L = 60. First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:

90 - 60 = W and

30 = W

So L = 60 and W = 30

4 0

4 years ago

the hypotenuse of a right triangle is 16 and one of the angle is 45 . find the length of the side opposite to that angle ?

Hoochie [10]

In a 90 45 45 triangle, the 2 legs each have a
length = hypotenuse / square root of 2
length = 16 / square root of 2
length = 16 / 1.4142135624 
length = 11.313708499

6 0

4 years ago

We are told that the price of basket of fries is drawn from a normal distribution with mean 6 and standard deviation of 2. You w

Masja [62]

Answer:

32.64% probability that you would have enough money to pay for all five baskets of fries

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 6, \sigma = 2, n = 5, s = \frac{2}{\sqrt{5}} = 0.8944$

You want to get 5 baskets of fries but you only have $28 in your pocket. What is the probability that you would have enough money to pay for all five baskets of fries?

28/5 = 5.6

So this is the pvalue of Z when X = 5.6.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{5.6 - 6}{0.8944}$

$Z = -0.45$

$Z = -0.45$ has a pvalue of 0.3264

32.64% probability that you would have enough money to pay for all five baskets of fries

5 0

3 years ago

Can someone give me two examples where Canadians still use the imperial system as a form of measurement?????

Nataly [62]

Remark

Acres is one example. 640 acres = a square mile. A mile is also a carryover from the imperial system. When Canada transferred over to the metric system, they found that the old system had to stay in place, otherwise all the surveying would have to be redone. There are two examples in this paragraph, but here's another as a bonus.

The Car dealerships in Canada still use the Imperial Gallon to describe how many miles per gallon you might get with the particular car you are looking at. When we bought our Honda Fit, the dealership told us we would get 50 miles / gallon, and they were not lying. It get's a little less now but we are doing more city driving. And who knows what additives are put in the gasoline. The reason the dealerships do this is because the Imperial Gallon is larger than a US gallon. So for every gallon burned you get more miles with an imperial gallon than you do with a US gallon. That's why you learn to convert. Can't let people trick you.

Answers

Acres and miles when speaking of land

Imperial Gallons when speaking of millage.

6 0

3 years ago

Find EH. * Find DF. *

Mashcka [7]

Answer:

EH= 14

DF= 28

Step-by-step explanation:

8 0

4 years ago