Answer:
16% probability that the facility needs to recalibrate their machines.
Step-by-step explanation:
We have to use the Empirical Rule to solve this problem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
What is the probability that the facility needs to recalibrate their machines?
They will have to recalibrate if the number of defects is more than one standard deviation above the mean.
We know that by the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% is more than 1 standard deviation from the mean. Since the normal distribution is symmetric, of those 32%, 16% are more than one standard deviation below the mean, and 16% are more than one standard deviation above the mean.
So there is a 16% probability that the facility needs to recalibrate their machines.
71 hours is the correct answer the first week is 7x8 which is 56 then 5x3 which is 15 and 56 to 15 and get your final answer of 71 hours.
<u>Answer:</u>
(i) Total cost of the flat is Rs. 540000.
(ii) Expenditure incurred on labour is Rs. 150000
<u>Step-by-step explanation:</u>
According to the question, cement cost is Rs. 112500, which represents 75° in the pie chart.
(i) The total cost of the flat is represented by the total 360° in the pie chart.
∴ Using unitary method
75° represents Rs. 112500
⇒ 360° represents =
× 360
= Rs. 540000
∴ Total cost of flat = Rs. 540000
(ii) Similarly, to calculate the cost of labour, represented by 100° in the pie chart, we can use the unitary method:
75° represents Rs. 112500
⇒ 100° represents =
× 100
= Rs. 150000
∴ Cost of labour = Rs. 150000
Answer:

Step-by-step explanation:
Given
-
← factor denominator
=
- 
We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
=
- 
Subtract terms on numerator leaving the common denominator
= 
= 
Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:

where
is the age of James,
is the age of Paul, and
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:

From the last part of the second sentence, we can set up the following equation:

We can substitute the second equation into the last one to get the following:



We can then substitute the last two equations in the first to solve for
:



Plugging this into the other two equations will give us the remaining ages:





