Answer:
Measure of the smallest angle = 35 degrees.
Step-by-step explanation:
As it is a right triangle the values of the 2 smaller angles will add up to 90 degrees.
So the 2 angles can be written as x and 90-x and we have:
(90 - x) - x = 20
-2x = 20 - 90 = -70
x = 35.
So the 2 angles are 35 and 55 degrees.
Answer:
The answer to your question is below
Step-by-step explanation:
f(x) = 2x + 5
To solve letter a, just multiply each term of f(x) by 3 and subtract 2.
a) 3f(x) - 2 = 3(2x + 5) - 2
= 6x + 15 - 2
= 6x + 13
To f(x) subtract twice g(x)
b) f(x) - 2g(x) = 2x + 5 - 2(x² - 3x + 2)
= 2x + 5 - 2x² + 6x - 4
= -2x² + 8x + 1
Multiply 5 by each term of f(x) and divide it by g(x)
c)
= 
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Answer:
24=40/100×x
Step-by-step explanation:
i think the equation is
24=40/100×x
24 is equal to 40 percent of a number which I have represented by x
I hope this helps
Answer:
The lower bound is,
and the upper bound is
.
Step-by-step explanation:
Let the random variable <em>X</em> follows a normal distribution with mean <em>μ </em>and standard deviation <em>σ</em>.
The the random variable <em>Z, </em>defined as
is standardized random variable also known as a standard normal random variable. The random variable
.
The standard normal random variable has a symmetric distribution.
It is provided that
.
Determine the upper and lower bound as follows:
![P(-z\leq Z\leq z)=0.51\\P(Z\leq z)-P(Z\leq -z)=0.51\\P(Z\leq z)-[1-P(Z\leq z)]=0.51\\2P(Z\leq z)-1=0.51\\2P(Z\leq z)=1.51\\P(Z\leq z)=0.755](https://tex.z-dn.net/?f=P%28-z%5Cleq%20Z%5Cleq%20z%29%3D0.51%5C%5CP%28Z%5Cleq%20z%29-P%28Z%5Cleq%20-z%29%3D0.51%5C%5CP%28Z%5Cleq%20z%29-%5B1-P%28Z%5Cleq%20z%29%5D%3D0.51%5C%5C2P%28Z%5Cleq%20z%29-1%3D0.51%5C%5C2P%28Z%5Cleq%20z%29%3D1.51%5C%5CP%28Z%5Cleq%20z%29%3D0.755)
Use a standard normal table to determine the value of <em>z.</em>
The value of <em>z</em> such that P (Z ≤ z) = 0.755 is 0.69.
The lower bound is,
and the upper bound is
.