Answer:
1.25
Step-by-step explanation:
.25 x 5 = 1.25
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Answer: You could move Circle 2 10 units to the right and up 5 up.
Doing this would put the centers of the circles at the same location. They would both be at the point (8, 5).
For the dilation, the radius changed from 2 to 6. Solve the following equation.
2x = 6
x = 3
To find c, you must isolate it.
To do this, you must divide both sides by 5/7, since that is being multiplied by c and you must do the inverse to it to cancel it out in order to leave c by itself.
5/7c ÷ 5/7 = c
13/14 ÷ 5/7
To divide fractions, follow these steps:
Step 1- Turn the second fraction, 5/7 in this case, into its reciprocal. This means swapping the places of the numerator and denominator.
5/7 reciprocal = 7/5
Step 2- multiply the original first fraction and reciprocal second fraction.
13/14 • 7/5
13 • 7 = 91
14 • 5 = 70
13/14 ÷ 5/7 = 91/70
Step 3- Simplify if possible.
91/70
Since 70 can go into 90, you can turn this into a mixed number.
1 and 21/70
Now simplify 21/70.
Both can be divided by 7.
21 ÷ 7 = 3
70 ÷ 7 = 10
So simplified, 91/70 equals 1 and 3/10.
As a decimal, this is 1.3.
So the answer is c = 1.3, or 1 and 3/10.
Hope this helps :)
Answer:
8
Step-by-step explanation:
IQ1-IQ2
or 13-5=8
Answer with Step-by-step explanation:
Since the demand is normally distributed the required probability can be found from the area under the normal distribution curve as
Part a)
Given mean = 4500 yards per month
Standard deviation = 900 yards
Thus area under the curve corresponding to 6000 yards is found from the standard variate factor Z as
Area for Z = 1.67 = 95.22%
Thus the probability that the demand will be met is 0.9522 hence the probability that the demand will not be met is 
Part b)
The reuired answer is area between 5000 and 7000 yards in the normal distribution curve thus we have
.
The area between these 2 values is 49.73% hence the reuired probability is 0.4973.
Part c)
For 97% satisfaction of demand the Z factor corresponding to 97% of area is found to be 1.88
thus we can write
