1/4(2x - 14) = 4
Divide by 1/4. (dividing by a fraction = multiplying by its reciprocal, so ÷1/4 = ×4)
2x - 14 = 16
Add 14 to each side.
2x = 30
Divide by 2.
x = 15
Answer:
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).
Step-by-step explanation:
We have the standard deviation for the differences, 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 = 8 - 1 = 7
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.8946
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 9.582 - 10.67 = -1.088
The upper end of the interval is the sample mean added to M. So it is 9.582 + 10.67 = 20.252
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)
m =
= - 
Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by
, where x is the number of years.
Since, 
i.e.
.
Therefore, the monthly growth rate function becomes,
i.e.
.
i.e.
.
Hence, the monthly growth rate is i.e.
.
Also, the growth factor is given by
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
1 yard (3/3) is equal to 3 feet, then 10/3 is equals to 10 feet