210 - ( 30 * x )
**I assume the question asks for total minutes.
Answer:
<h2><u>
50 ft³</u></h2>
Step-by-step explanation:
We know the formula for a rectangular prism is length × width × height
We also know all the sides so we can rewrite the formula replacing variables.
The length is 8, the width is 2
and the height is 2
8 × 2 × 2
Multiply which ever way is easy for you. I am just multiplying from left to right.
8 × 2 = 20
20 × 2 = 50
Now we get 50. Before we put our answer as 50, there are two more steps.
First we need to add the measurement unit which is feet or ft
We also need to add ³ since it is volume
<u>50 ft³ is our final answer</u>
Answer:
D
Step-by-step explanation:
But basically, one by one you try moving the terms out of the radical.
75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.
x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.
y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.
Finally, z is just z it can't be taken out so it stays inside the radical.
Hope that helps!
Answer:
29.2
Step-by-step explanation:
Mean = 21.4
Standard deviation = 5.9%
The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.
The Z- score formula is given as:
z = x - μ /σ
Z score ( z) is determined by checking the z score percentile of the normal distribution
In the question we are told that it is the students who scores are in the top 9%
The top 9% is determined by finding the z score of the 91st percentile on the normal distribution
z score of the 91st percentile = 1.341
Using the formula
z = x - μ /σ
Where
z = z score of the 91st percentile = 1.341
μ = mean = 21.4
σ = Standard deviation = 5.9
1.341= x - 21.4 / 5.9
Cross multiply
1.341 × 5.9 = x - 21.4
7.7526 = x -21.4
x = 7.7526 + 21.4
x = 29.1526
The 91st percentile is at the score of 29.1526.
We were asked in the question to round up to the nearest tenth.
Approximately, = 29.2
The minimum score required for the scholarship to the nearest tenth is 29.2 .
Hello Takeover, I believe the formula for a triangle prism is V= 1/2 a c h
