Answer:
angle a is 116 degrees
Step-by-step explanation:
ok so first we have to make everything equal to 180 because every triangle is 180 degrees so it would be written like this:
(14x + 4) + (5x - 1) + (2x + 9) = 180
Then, we solve for x and x equals 8
After this we plug 8 back into the angle so it would be written like this:
14(8) + 4
This equals 116 degrees.
Answer:
I think that is going to be x-3
Answer: The range of the medians of the numbers left and right of the median of the entire data set.
Answer:
Population mean = 7 ± 2.306 × 
Step-by-step explanation:
Given - A university researcher wants to estimate the mean number
of novels that seniors read during their time in college. An exit
survey was conducted with a random sample of 9 seniors. The
sample mean was 7 novels with standard deviation 2.29 novels.
To find - Assuming that all conditions for conducting inference have
been met, which of the following is a 94.645% confidence
interval for the population mean number of novels read by
all seniors?
Proof -
Given that,
Mean ,x⁻ = 7
Standard deviation, s = 2.29
Size, n = 9
Now,
Degrees of freedom = df
= n - 1
= 9 - 1
= 8
⇒Degrees of freedom = 8
Now,
At 94.645% confidence level
α = 1 - 94.645%
=1 - 0.94645
=0.05355 ≈ 0.05
⇒α = 0.5
Now,

= 0.025
Then,
= 2.306
∴ we get
Population mean = x⁻ ±
×
= 7 ± 2.306 × 
⇒Population mean = 7 ± 2.306 × 