Answer:
22.75 square yards
Step-by-step explanation:
Use the formula to find area of a trapezoid;
![a = \frac{a + b}{2} h](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D%20h)
![a = \frac{4 + 9}{2} 3.5](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B4%20%2B%209%7D%7B2%7D%203.5)
![a = \frac{13}{2} 3.5](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B13%7D%7B2%7D%203.5)
![a = 6.5 \times 3.5](https://tex.z-dn.net/?f=a%20%3D%206.5%20%5Ctimes%203.5)
![a = 22.75 \: {yd}^{2}](https://tex.z-dn.net/?f=a%20%3D%2022.75%20%20%5C%3A%20%7Byd%7D%5E%7B2%7D%20)
Answer:
Width=4, and Length=17
Step-by-step explanation:
first you will make a variable for the width which i will say is x
now make it an equation (3x+5) (x) = 68
then solve 3x^2+5x=68
then 3x^2+5x-68=0
then x=4
then you have to substitute so 3(4)+5= 17 and 4
Answer:
Tanks of 15.3081 gallons and larger are considered too large.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 15, \sigma = 0.15](https://tex.z-dn.net/?f=%5Cmu%20%3D%2015%2C%20%5Csigma%20%3D%200.15)
How large does a tank have to be to be considered too large
largest 2%, so at least the 98th percentile.
The 98th percentile is X when Z = 0.98. So it is X when Z = 2.054.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.054 = \frac{X - 15}{0.15}](https://tex.z-dn.net/?f=2.054%20%3D%20%5Cfrac%7BX%20-%2015%7D%7B0.15%7D)
![X - 15 = 2.054*0.15](https://tex.z-dn.net/?f=X%20-%2015%20%3D%202.054%2A0.15)
![X = 15.3081](https://tex.z-dn.net/?f=X%20%3D%2015.3081)
Tanks of 15.3081 gallons and larger are considered too large.
Answer:
130,000 that's the number I dunno how to shrink it
The answer is D because the statement is saying it's not a polygon if the sum of the exterior angles is not 360 which is the opposite of the statement