Hello!
We must use a certain formula to find the volume of a rectangular prism. The formula is:
V = l × w × h
Let's multiply the 3 dimensions together. Before we can do that, though, we must convert the mixed fractions to improper fractions.
8 1/2 = (8 × 2) + 1 / 2 = 17/2
9 1/3 = (9 × 3) + 1 / 3 = 28/3
12 2/5 = (12 × 5) + 2 / 5 = 62/5
17/2 × 28/3 = 476/6 (which can be simplified to 238/3)
238/3 × 62/5 = 14756/15
Final Answer:
The volume of the rectangular prism is 983 11/15 centimetres cubed, and 983.733 centimetres cubed (Repeating decimal) as a decimal.
Answer:
y = 2x - 8
Step-by-step explanation:
<u><em>To solve for slope, you need to use the formula:</em></u>
m =
<u><em>Then, plug in the numbers accordingly:</em></u>
m =
m =
<u><em>Simplify:</em></u>
m = 2
<u><em>Then to find the y-intercept, you take one of the coordinates (doesn't matter which one) and plug it into the equation:</em></u>
Coordinate : (3, -2)
-2 = 2(3) + b
-2 = 6 + b
<u><em>Subtract 6 from both sides:</em></u>
-2 = 6 + b
-6 -6
_________
-8 = b
<u><em>Put it all together:</em></u>
y = 2x - 8
Answer:
its 254 inches hope this helps :)
This number is an integer because it has a negative sign and all integers are negative
The z-scores that are the cutoffs are given as follows:
a. z = 1.645.
b. z = -1.96.
c. z = -0.51.
d. z = 0.
e. z = 0.
<h3>What is the z-score formula and what does it represent?</h3>
The z-score of a measure X of a variable that has mean given by and standard deviation represented by is given as follows:
- The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean.
- From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.
For this problem, we have that:
- In item a, the cutoff is the 95th percentile, hence z = 1.645, which has a p-value of 0.95.
- In item b, the cutoff is the 2.5th percentile, hence z = -1.96, which has a p-value of 0.025.
- In item c, the cutoff is the 30.5th percentile, hence z = -0.51, which has a p-value of 0.305.
- In item d, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.
- In item e, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.
More can be learned about z-scores at brainly.com/question/25638875
#SPJ1