Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A (
) = 3 hours
Time taken by Machine B (
)= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula = 
Put the values in above formula we get
⇒ T = 
⇒ 12 = 
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answer:
264 ounces
Step-by-step explanation:
#Convert Xan weight into ounces:

Convert Katie's 88 pounds 11 ounce to ounces:

The difference is calculated by subtracting Xan's from Katie's:

Hence, the difference between the weights is 264 ounces
Answer:
C Vertex is (2, 27)
Step-by-step explanation:
C Vertex is (2, 27)
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.
We use the simple rules of statistics to accept the null hypothesis
68% of the data falls within 1 sd of the mean95% of the data falls within 2 sd of the mean 99% of the data falls within 3 sd of the mean
20 falls between the range of -56 to 56 (from the given 95% c.i.), hence we accept the null hypothesis; else, if the mean falls outside the range, we reject the null hypothesis.