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mestny [16]
3 years ago
7

The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10

years. What is the standardized score for a tree that is 34 years old?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer: D. -0.6

Step-by-step explanation:

Z score formula= x-mean/ SD

34-40/10= -3/5= -0.6

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Which situation is represented by the inequality? 3x + 5 > 2x + 15
Nina [5.8K]
<span>3x + 5 > 2x + 15
3x - 2x > 15 - 5
         x > 10

answer
x > 10</span>
7 0
3 years ago
Indefinite integral need help pleaseeeeeee
tatiyna
Integrate indefinite integral:
I=\int\frac{dx}{e^{2x}+3e^x+2}dx

Solution:
1. use substitution u=e^x 
=>
du=e^xdx
=>
dx=\frac{du}{e^x}
=>
dx=\frac{du}{u}
=>
I=\int\frac{du}{u(u^2+3u+2)}du
=\int\frac{du}{u(u+2)(u+1)}du
2. decompose into partial fractions
\frac{1}{u(u+2)(u+1)}
=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}
where A=1/2, B=1/2, C=-1
=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}
3. Substitute partial fractions and continue
I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}
=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}
4. back-substitute u=e^x
=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}
=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}

Note: log(x) stands for natural log, and NOT log10(x)

7 0
3 years ago
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Goshia [24]
Is that the full screen?
3 0
3 years ago
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7x-3y=4 2x-y=1 the solution to the system of equations is
Alex_Xolod [135]

Answer:

x = 1 and y = 1

Step-by-step explanation:

7(1) minus 3(1) = 4

and 2(1) minus 1 = 1

just try and guess a number and try to solve the problem with that number, if it isn't the answer then repeat.

4 0
3 years ago
Read 2 more answers
Y = 5x - 13<br><br> 4x + 3y = 18
hram777 [196]
<span>replace Y = 5x - 13
into
4x + 3y = 18

</span>

4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
4x -24 = 18
4x = 18 +24
4x = 42
x = 42/4
x = 10.5

Y = 5(10.5) - 13
=  52.5 - 13
= 39.5

answer: x = 10.5 and y = 39.5
3 0
3 years ago
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