Answer:
V = StartFraction 7 times 6 over 2 EndFraction times 8
Step-by-step explanation:
Volume of a triangular prism is expressed as V = Base area × Height
Base area = area of the triangle = 1/2 × base × height
If the triangular base has a base of 7 inches and height of 6 inches.
The height of the prism is 8 inches.
Base area = 1/2 × 7 × 6
Base area = (7×6)/2
Height = 8
V = (7×6)/2 × 8
The right option is V = StartFraction 7 times 6 over 2 EndFraction times 8
Answer:
x = 4
Step-by-step explanation:
Given
6x - 5y = 14 ← substitute y = 2 into the equation
6x - 5(2) = 14
6x - 10 = 14 ( add 10 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
Answer:
y = 50x + 200
Step-by-step explanation:
the 200 is the y intercept because it is where his pay starts, so even if Matt doesnt make any sales he will still get 200 that week
the slope (50) is determined because that is what will change
if he makes 2 sales he will make 100 + 200 that week, and if he makes 4 sales he will make 200 + 200 that week and so on
Answer:
<h2>Hey , option B is correct ....</h2>
as two angles are equal
Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, we have that the mean and the standard deviation are given, respectively, by:
.
The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:


Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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