The first step is figuring out the length of the field. To do this, let's work backwards.
We are given the width (11m) and the perimeter (68m). We know that perimeter is measured with the formula P = 2W + 2L or W+W+L+L. All we have to do is plug in our width, 11(2) which is 22, and subtract that from the perimeter:
68 - 22 = 46 < this is the amount of both lengths combined, but in order to find the area, we only need one side. So, divide 46 by 2, and you'll get 23.
Now the area of a rectangle is found by using A = lw. So plug in your numbers and multiply 23 (length) and 11 (width). You should get 253.
Answer: 253m/D.
5 is a factor of 25,so 5 divide 5 is 1 so the numerator is 1. 25 divide 5 is 5 so the denominator is 5.Your answer is 1/5.
Answer:
The data item is ![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that ![\mu = 400, \sigma = 60](https://tex.z-dn.net/?f=%5Cmu%20%3D%20400%2C%20%5Csigma%20%3D%2060)
z=3
We have to find X when Z = 3. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![3 = \frac{X - 400}{60}](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7BX%20-%20400%7D%7B60%7D)
![X - 400 = 3*60](https://tex.z-dn.net/?f=X%20-%20400%20%3D%203%2A60)
![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
The data item is ![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
Answer:
108 people
Step-by-step explanation:
4 : 5
To go from 4 to 48 we times by 12. So we do the same to 5.
5 times 12 = 60
48 + 60 = 108
:)
Answer:
Slope of function B
Step-by-step explanation: