Answer:
the height of bag b is 7
Step-by-step explanation:
first, find the volume of bag a.
volume formula:
length * width * height = volume
length = 4
width = 3.5
height = 6
substitute the values into the formula
4 * 3.5 * 6 = volume
84 = volume
the volume of bag A is 84
next, find the height of bag b
volume formula:
length * width * height.
length = 8
width = 3
volume = 168 (84 * 2)
8 * 3 * h = 168
24h = 168
24h/24 = 168/24
h = 168/24
h = 7
the height of bag B is 7
Answer:
8 and 1/4
Step-by-step explanation:
10 3/4 - 2 1/2
3/4 - 1/2 = 1/4
10 - 2 = 8
When y varies inversely as x ⇒ y*x=k
y=27 and x=40 ⇒27*40=1080=k
y*10=1080
y=1080:10
y=108
Th answer is x-2.hope this helps
Answer:
The minimum score required for an A grade is 88.
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 = 77.8, \sigma = 8.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2077.8%2C%20%5Csigma%20%3D%208.5)
Find the minimum score required for an A grade.
Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.175 = \frac{X - 77.8}{8.5}](https://tex.z-dn.net/?f=1.175%20%3D%20%5Cfrac%7BX%20-%2077.8%7D%7B8.5%7D)
![X - 77.8 = 1.175*8.5](https://tex.z-dn.net/?f=X%20-%2077.8%20%3D%201.175%2A8.5)
![X = 87.8](https://tex.z-dn.net/?f=X%20%3D%2087.8)
Rounding to the nearest whole number
The minimum score required for an A grade is 88.