Answer:
34191.7πin³/sec
Step-by-step explanation:
Volume of circular come = 1/3pi x r² x h
When we differentiate this formula we have
dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]
We have the following information
r = 138
H = 143 inch
dr/dt = 1.4
dh/dt = -2.8
When we plug into the formula
1/3π[130² x -2.8 + 2x138x143x1.4]
= 34191.7πin³/sec
Answer:
-6 3/8 < -7/8
Step-by-step explanation:
Answer:
-6 3/8 < -7/8
Showing Work
Using the given inputs:
-6 3/8 -7/8
Rewriting these inputs as improper fractions:
-51/8 and -7/8
Since we have like denominators we compare the inputs by the numerators:
Therefore, comparison shows:
-6 3/8 < -7/8
Answer:
The correct option is option c.
H0: p not equal to 0.5
H1: p equal to 0.5
Step-by-step explanation:
1. H0: p not equal to 0.5
H1: p equal to 0.5
2. P cap = 104/ 260
P cap = 0.4. ( where p cap is the sample proportion)
3. Find the test statistic
Using : Z = ( p cap - p) /√ [(p ×q)/n] where p = 0.5 q= 1-p = 0.5. n=260
Z = -3.23
4. P value = 0.006
5. Since p value is less than the alpha level (0.01) . we reject the null hypothesis and conclude that the touch therapists are not effective.
