Answer:
a) The formula is given by mean 
the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
b) 
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".
If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean 
is given by:
Part a
The formula is given by mean the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
Part b
The confidence interval for the mean is given by the following formula:
Let C be the center of the circle. The measure of arc VSU is 
, so the measure of the minor arc VU is 
. The central angle VCU also has measure 
.
Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so
UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so
So finally,
degrees.
To find the weight of 1 load of stone, divide 2/3 by 4.
To divide fractions, use keep change flip.
Keep the first fraction the same, change the division sign into a multiplication sign, and flip the second fraction.
I attached the work and answer for this problem. If you have any questions please feel free to ask.
Hope this helps.
Answer:
Step-by-step explanation:
This is a unit rate problem. If we want to find out how much chocolate was eaten in 1 minute, we divide 31.5 by 7. This gives us the number of ounces of chocolate eaten in 1 minute: 4.5 ounces per minute.
Answer:
85m x w=3000
sample equation
Step-by-step explanation:
