Answer:
540
Step-by-step explanation:
The multiples of 45 are 9,3,3,1
The multiples of 60 are 12,4,2,1
The multiples of 135 are 27,9,9,9,3
Therefore the LCM can be calculated as follows
= 5×3×2×2×3×3
= 540
Hence the LCM is 540
Let "a number" be represented with the variable x.
Solve the expression by breaking it apart:
"...the sum of four and a number": (x + 4)
"twice of...": 2(
"Twice of the sum of four and a number": 2(x + 4)
2(x + 4) is your answer.
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Answer: The proportion of new car buyers that trade in their old car has statistically significantly decreased.
Step-by-step explanation:
Since we have given that
p = 48% = 0.48
n = 115
x = 46
So, 
So, hypothesis would be

So, test value would be

At 10% level of significance, critical value would be
z= 1.28
Since 1.28 < 1.72
So, we will reject the null hypothesis.
Hence, the proportion of new car buyers that trade in their old car has statistically significantly decreased.
This one is for number 26
Answer:
Step-by-step explanation:
It is given that the regression equation

predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0).
The coefficient of x1 = 0.32 represents the increase in height of the child due to one inch increase in mother.
Similarly coefficient of x2 = 0.42 represents the increase in height of the child due to one inch increase in father.
and coefficient of x3 = 5.31 represents the increase in height of the child due to being a male than a female.