Answer:
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 158.9
Standard Deviation, σ = 90.4
We are given that the distribution is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.39
Calculation the value from standard normal z table, we have,
133.68 separates the bottom 39% means from the top 61% means.
Answer:
<em>Reflecting over the x-axis and then reflecting over the line y = x. </em>
Step-by-step explanation:
<em>A rotation 90° counterclockwise will map every point (x, y) to (-y, x).</em>
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<em>Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.</em>
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<em>Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.</em>
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<em>Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y). Following this with a reflection across y=x will switch the coordinates giving us (-y, x). This is the correct transformation.</em>
Answer:
x = 4
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 3
exponents = 2x + 1 , x + 5
3^(2x + 1) = 3^( x + 5)
3^(2x + 1) / 3^(x + 5) = 1
3^((2x + 1) - (x + 5) )= 1
3^(2x + 1 - x - 5) = 1
3^(2x - x +1 - 5) = 1
3^(x - 4) = 1
log 3^(x - 4) = log(1)
(x - 4) (log (3)) = 0
log(3) = 0 rejected
x - 4 = 0 accepted
x = 0 + 4
x = 4
Answer:
2644.415 feet spuared
Step-by-step explanation:
I think the attached photo is your full question, and my answer:
We need to find:
- the area of the pool = π = 3.14* = 1319.585 feet spuared.
- The area of the triangular fence = 1/2* 84*92 = 3964 feet spuared
So, the area of the backyard which is not covered by the pool is:
<em>The area of the triangular fence - the area of the pool</em>
= 3964 - 1319.585
= 2644.415
Hope it will find you well.
Answer:
37
Step-by-step explanation: