Answer:32 inches
Step-by-step explanation:
Using the pythagorean theorem
40²= 24²+ b²
simplify
1600 = 576 + b²
subtract 576 from both sides
1024 = b²
square root both sides
32= b
Answer:
b
Step-by-step explanation:
We must determine the the x value at 90% confidence interval. We find this from a table relating confidence intervals and x values. For 90%, z is 1.645.
WE must determine the mean of 19 and 23:
We must determine the standard deviation. We let n be the number of population which is 2. We need to take the numbers 19 and 23 and subtract each by the mean and square the answer:
We then determine the mean of these two values as:
Now we take the square root of 365:
The standard deviation is 19.1
The answer is b
The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
<h3>How to solve the variables?</h3>
<u>(1) y/3 + 6 = -3/2</u>
Multiply through by 3
y + 18 = -9/2
Subtract 18 from both sides
y = -18 - 9/2
Take LCM
y = (-18 * 2 - 9)/2
Evaluate
y = -45/2
<u>(2) -2r/3 - 3 = 3</u>
Multiply through by 3
-2r - 9 = 9
Add 9 to both sides
-2r = 18
Divide by 2
r = -9
<u>(3) 2/3 - 2x = x</u>
Multiply through by 3
2 - 6x = 3x
Add 6x to both sides
2 = 9x
Divide by 9
x = 2/9
<u>(4) 7x/2 + -5/2 = 9/2</u>
Multiply through by 2
7x - 5 = 9
Add 5 to both sides
7x = 14
Divide by 7
x = 2
Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
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