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larisa86 [58]
2 years ago
11

Solve for b₂, in terms of the area of a trapezoid, A, the height, h, and b₁: A =1/2 (b₁ + b₂)h

Mathematics
1 answer:
nikklg [1K]2 years ago
8 0

Answer: b₂=2A/h-b₁

Step-by-step explanation:

A =1/2 (b₁ + b₂)h

2A=(b₁ + b₂)h

2A/h=b₁ + b₂

b₂=2A/h-b₁

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The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes
mixer [17]

Answer:

0.02275

Step-by-step explanation:

We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.

We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.  

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Sample score,

\mu = Mean,

\sigma = Standard deviation.

z=\frac{60-80}{10}

z=\frac{-20}{10}

z=-2

Now, we will use normal distribution table to find area under z-score of -2 as:

P(z< -2)

P(z< -2)=0.02275

Therefore, the probability of completing the exam in one hour or less is 0.02275.

7 0
3 years ago
HELP ASAP DUE TOMORROW!!!!
Vikentia [17]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Which could be the area of one face of the triangular prism? Check all that apply
Sever21 [200]

Area of rectangles = Length x width.

Area of triangles = 1/2 x base x height.

1 face is 12 x 10 = 120 square units

1 face is 12 x 8 = 96 square units

1 face is 12 x 6 = 72 square units

And 2 faces are 1/2 x 8 x 6  = 24 square units

Answers are 24 , 72 and 96 square units.

5 0
3 years ago
Answer this question to get marked as barinliest!!!!
Cerrena [4.2K]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
How do you get the same base for the power
zhannawk [14.2K]
64 = 2 ^6
16 = 2^4 = 

2^ 6*(2x+4) = 2^4 * 5x

6(2x+4) = 20x

10/3 x = 2x +4

4/3 x = 4

x = 3

you can also use logarithms like so

(2x+4)ln64 = 5x ln16

ln64/ln16 = 3/2

3/2 * 2x + 3/2 * 4 = 5x

3x + 6 = 5x

2x = 6

x = 3




7 0
3 years ago
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