Lynne used 3/8 cup of flour qnd 1/3 cup of sugar in a recipe what number is a common denominator for 3/8 and 1/3
1 answer:
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Answer:
Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius
so
step 2
Find the measure of arc MP
step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees
therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP
substitute the values
Answer:
For the critical value we need to calculate the degrees of freedom given by:
And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:
Step-by-step explanation:
Previous concepts
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=test value with right arm , y = test value with left arm
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is calculate the difference
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
For the critical value we need to calculate the degrees of freedom given by:
And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got: