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Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
Let 'X' = 55
<u><em>Step(ii):-</em></u>
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
<u><em>Final answer:-</em></u>
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
The expression for the total amount of apples is 29x
<em><u>Solution:</u></em>
Given that,
Sarah has 12 bags of apples
Mikaela has 17 bags of apples
Each bag has the same amount of apples inside
Let "x" be the number of apples in each bag
Then,
Sarah has 12x apples
Mikaela has 17x apples
<em><u>Wrie an expression for the total amount of apples</u></em>
Total amount of apples = 12x + 17x
<em><u>Then simplify it using the distributive property to create an equivalent expression</u></em>
By distributive property,
a(b + c) = ab + bc
Therefore,
Thus expression for the total amount of apples is 29x