Answer:
1. 103
2. 67
3. 15
4. 44
Step-by-step explanation:
subtracting the sum of two given angles from 180.
Answer:
125 deg
Step-by-step explanation:
Keep these three rules in mind:
1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.
2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.
3) Opposite angles of a rectangle inscribed in a circle are supplementary.
110 deg is a central angle.
By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.
a is an inscribed angle that intercepts an arc of 110 deg.
By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.
angle a measures 55 deg.
Rule 3) Angles a and b are supplementary.
a + b = 180
55 + b = 180
b = 125
Answer:
The confidence interval for the mean is given by the following formula:
And the margin of error is given by:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
And the margin of error is given by:
Given:
average of five numbers is 16 and four of the number are 12 , 14, 16 and 18
To find:
the remaining number
Solution:
The given numbers are 12,14,16,18
Let the another number be X
Sum of five numbers = 12+14+16+18+X
=60+X
Average of five numbers =16
Average= Sum of observations/no.of
observations
=>16=(60+X)/5
=>(60+X)/5=16
=>60+X=5×16
=>60+X=80
=>X=80-60
=>X=20
Answer:
The fifth number is 20
Answer:
No
Step-by-step explanation:
