Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
Answer:
D
Step-by-step explanation:
Answer:
2x+10
Step-by-step explanation:
to distribute you take the number on the outside of the parenthesis and multiply it with the individual values inside the parenthesis. So first you would multiply 2 times X which gives you 2x then 2 times 5 which gives you 10, then your answer would be 2x+10
Answer:
144
Step-by-step explanation:
20×12=240
add 4 to 20 and 12
makes a new rectangle 24×16
24×16=384
384-240=144
Answer:
And the 90% confidence interval would be between [566.80 and 579.20]
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=22 represent the sample standard deviation
n=36 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.90 or 90%, the significance would be
and
, and the critical value for this case would be
And replacing we got:
And the 90% confidence interval would be between [566.8033 and 579.1967]