Answer:
The volume of the ball is 256 cm³
Step-by-step explanation:
we know that
The density is equal to the ratio of the mass by the volume
D=m/V
Solve for V
The volume is equal to the ratio of the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
256×7=
(200×7)+(50×7)+(6×7)=
1400+350+42=
1792
Answer:
And rounded up we have that n=385
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as an estimator for p
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385
Answer:
a. $5.43
b. $141.25
c. $8.75
Step-by-step explanation:
First you find the total amount you it cost for all the items
$135.82 + 4% = $141.25
You give three $50 dollar bills
50 * 3 = 150
$150 is the amount you give
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141.25 - 135.82 = 5.43
$5.43 is the amount of the sale price
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To find the amount is cost for all the items you add the sales tax + the original price
$135.82 + 4% = $141.25
$141.25 is the amount including the tax
---------------------------------------
Subtract
150 - 141.25 = 8.75
So you will get $8.75 back