Answer:
c. 6.2 ± 2.626(0.21)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 101 - 1 = 100
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.626
The confidence interval is:
In which 
is the sample mean while M is the margin of error.
The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.
This means that 
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
Thus, the confidence interval is:
And the correct answer is given by option c.
A= bh(1/2)
a=12(14)(1/2)
a= 168(1/2)
a= 84inches
3
...................................................................................................................
Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = 
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° =
tan60° = 
= 
= ( multiply both sides by 6 )
opp = 6 , then
d₂ = 2 × 6 = 12
Thus
A = × 12 × 12 = 6 × 12 = 72
= 21
First, simplify
to
/ Your problem should look like:
= 21
Second, multiply both sides by 8. / Your problem should look like: -7k = 167
Third, divide both sides by -7. / Your problem should look like: k =
Fourth, simplify
to
/ Your problem should look like: k =
Fifth, simplify
to 24. / Your problem should look like: k = -24
Answer:
k = -24
