Answer:
Part A
12 pieces
Part B
Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.
Step-by-step explanation:
Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope?
This is calculated as:
4 4/5 feet of rope ÷ 2/5 foot pieces
= 24/5 ÷ 2/5
= 24/5 × 5/2
= 12
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given
The quotient in Part A is 12
Therefore, this can be interpreted as:
Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.
Answer:
which is the volume of the water
it implies , volume=l*b*h
50m*25m*2m
2500m'3
Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answer:
1,082
Step-by-step explanation:
The sample size n in Simple Random Sampling is given by
where
z = 1.645 is the critical value for a 90% confidence level (*)
s = 2 is the estimated population standard deviation
e = 0.1 mm points is the margin of error
so
rounded up to the nearest integer.
So the manufacturer should test 1,083 parts.
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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1
It can be obtained in Excel with
NORMINV(1-0.05,0,1)
and in OpenOffice Calc with
NORMINV(1-0.05;0;1)
