The arrow is fired with an initial upward velocity of 32ft/s
the ratio in which 42 should be divided is 1:2:3
the sum of the parts of the ratio is - 1 + 2 + 3 = 6
this means that there's a sum of 6 parts
so we need to find how much 1 part is equivalent to
if 6 parts are equivalent to 42
then 1 part is equivalent to - 42/6 = 7
so the ratio should be 1:2:3
1 part - 7
2 parts - 7 x 2 = 14
3 parts - 7 x 3 = 21
therefore 42 divided into 1:2:3 ratio is as follows
7 : 14 : 12
Answer: d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.
Step-by-step explanation:
Confidence interval is constructed to estimate a range of values that could possibly contain the population parameter. This could be the population mean or population proportion. A 95 percent confidence interval does not mean 95% probability. It tells how confident that we are that the confidence interval contains the population proportion. If we construct 100 of the given confidence interval, we are confident that 95% of them would contain the true population parameter. Therefore, the correct option is
d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.
Answer:
y =
x
Step-by-step explanation:
Given that the quantities vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use either of the 2 given points
Using (12, 9), that is x = 12 when y = 9, then
k =
=
= 
y =
x ← equation of variation