Answer:
1402.5 Cubic Units
Step-by-step explanation:
Volume of a Triangular Prism: V = 
b - base
h - height
l - length
15 is the height, 17 is the length, and 11 is the width (assuming which is the base).
The volume of the prism should be 1402.5 cubic units.
Answer:
the answer is 632
Step-by-step explanation:
that is %79 of 800
The volume of the prism given its dimensions is equal to 160 cubic units.
<h3>What is the volume of the
prism?</h3>
The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.
- One of the prisms have the dimensions: 4 x 4 x 5.
Volume = 80
- The other prism has the dimensions: 8 x 2 x 5.
Volume = 80
Volume of the prism = 80 x 2 = 160 cubic units.
To learn more about rectangular prisms, please check: brainly.com/question/8890358
Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.
In a <em>normal distribution</em> with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- The mean is of 90 grams, hence
.
- The standard deviation is of 1 gram, hence
.
We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:
The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.
- Looking at the z-table, Z = -3 has a p-value of 0.0013.
2 x 0.0013 = 0.0026
0.0026 x 100% = 0.26%
0.26% of the items will either weigh less than 87 grams or more than 93 grams.
For more on the normal distribution, you can check brainly.com/question/24663213
Answer:
65 in and 39 in respectively
Step-by-step explanation:
Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle, Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:
2(5r) + 2(3r) = 16r = 208 in
Then r = 208/16 = 13
Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),
or 65 in and 39 in respectively.
As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.
Then
