A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is
lying on the back of the truck. If the back of the truck is 5 feet high, which of the following equations can be used to find the length of the ramp? 52 + b2 = 122 , 122 + b2 = 52, 52 + 122 = c2
2 answers:
Answer:
The correct option is 3. The required equation is .
Step-by-step explanation:
It is given that the bottom of the ramp is 12 feet from the truck and the back of the truck is 5 feet high.
Let the length of the ramp be c feet.
The given information forms a right angled triangle. Where bottom of the ramp from the truck is base, height of the back of the truck is perpendicular and length of ramp is hypotenuses.
Base = 12 feet
Perpendicular = 5 feet
Hypotenuses = c feet
Using Pythagoras theorem,
The required equation is .
Therefore option 3 is correct.
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Answer:
a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.
b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.
c)
Step-by-step explanation:
If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:
Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and is the z-value that let a probability of
on the right tail.
Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, by 0.02 and
by 2.33
Where p' and are calculated as:
So, replacing the values we get:
With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.
The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.
Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence is equal to 98%
It means the the level of significance is:
Answer:
The answer is (6.5,3)
Step-by-step explanation:
The solution is in the image
