Problem One
Find AM
AM = 71.5 - 22 = 49.5
Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5
Step Three
Set up the Proportion
AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5
Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98
Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer
Answer:
Whats up good luck... sorry my answer didnt submit
Step-by-stp explanation:
Answer:
Step-by-step explanation:
Given that
-3a+6b=a+4b
We want to make b subject of formula
First to remove the 4b in the Right hand side of the equation
Subtract 4b from both side of the equation
-3a+6b-4b=a+4b-4b
Then we have,
-3a+2b=a
Now to remove the -3a from the left hand side of the equation add 3a to both side
Then,
-3a+2b+3a=a+3a
2b-3a+3a=4a
Then, 2b=4a
Divide both side by 2
2b/2=4a/2
b=2a.
Answer:
95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean,
= 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
95% Confidence interval:
Putting the values, we get,
is the required confidence interval for the true mean length of rods.
Permutation
Step-by-step explanation:
- Permutation is an example of the mathematics in which item are arranged in different way.
- For example ABC, ACB, BCA, CBA, CAB, BAC etc.
- The order of an arrangement are different in each alphabet.
- The product of number also be defined as in the form of n to 1
- for example : 5*4*3*2*1 = 120
Learn more: permutation
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