Coach Cooper can run 100 meters in 13 seconds. What is her speed? Round to the nearest HUNDREDTH (two place after the decimal).
1 answer:
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a) Little book LTD earning per share is $1.118 per share.
Explanation:
To calculate earning per share we will use following formula:
Now to find net income we will take help of asset turnover ratio :
NOTE : LET x BE THE NET SALES DURING THE YEAR.
Asset turnover ratio =
1.5 × $860000 = x
x (net sales) = $1290000
Outstanding shares = 75000 shares
So Net Income = $1290000×.065
= $83850
Now Earning per share =
Earning per share = $1.118
b) Market to Book Ratio will be 1.2 for Little Book LTD.
Explanation:
Market to Book Ratio =
Market Capitalization = $ 75000× $ 12
= $900000
So, Market To Book Ratio = = 1.2
So , Market To Book Ratio is 1.2 for little book ltd.
Answer:
And then we can conclude that the middle 75% values of her lap times are from a=126.835 to b=132.585
Step-by-step explanation:
1) Previous concepts
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".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
2) Solution to the problem
Let X the random variable that represent the times of a population, and for this case we know the distribution for X is given by:
Where and
Since we want the middle 75% values then on tha tails we need 1-0.75 =0.25 or 25% of the data and since the distribution is symmetric we need 12.5 % of the values on each tail.
For this part we want to find a value a and b, such that we satisfy this condition:
(a)
(b)
We can use the z score formula in order to find the value a and b given by:
As we can see on the figure attached the z value that satisfy the condition (b) with 0.125 of the area on the left and 0.875 of the area on the right it's z=-1.15. On this case P(Z<-1.15)=0.125 and P(z>-1.15)=0.875
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 12.5% of data from the top 87.5% is 126.835.
As we can see on the figure attached the z value that satisfy the condition (b) with 0.875 of the area on the left and 0.125 of the area on the right it's z=1.15. On this case P(Z<1.15)=0.875 and P(Z>1.15)=0.125
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And then we can conclude that the middle 75% values of her lap times are from a=126.835 to b=132.585