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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.
Question:
Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.
Which is Abel’s error?
Abel should have written the ratio as
Abel should have written the ratio as
Abel should have divided both numbers by 6.
Abel should have divided both numbers by 4.
Answer:
Abel should have divided both numbers by 6.
Step-by-step explanation:
Given
Measured Length of backyard = 42m
Actual Length of backyard = 24m
Measured Ratio:
Required
Error in calculation of measured ratio
From Abel's calculation:
It can be observed that He divided both numbers by 7
Though 42/7 = 6 but that's not so for 24/7
24/7≠4;
Instead 24/7 = 3.43 (Approximated)
To get the actual ration, he has to divide both numbers by the highest common factor
The common factors of 42 and 24 include 2,3,6 of which the highest is 6
Hence; HCF of 42 and 24 = 6
So, we can conclude that the error in his calculation is having not dividing both numbers by 6
Solution
- 89 gallons contains 40 gallons twice such that:
- This means that we can find at least 200% of 40 gallons in 89 gallons. This gives us what to expect.
- To get the percentage we are looking for, we should use the formula:
New, in this case, is 89 gallons, Old is 40 gallons.
- Thus, we can calculate the percentage as follows:
Thus, the answer is 222.5%