Write 90% as a decimal. Round to the thousandths place
2 answers:
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Answer:
4.5 inch
Step-by-step explanation:
Given: A candle is 7 inch tall after burning for 1 hour.
Same candle is 5.5 inch tall after burning for 4 hours.
Lets assume time to burn candle be "x" and height of candle be "y".
Now, finding the rate of changes in height of candle per hour.
Let "m" represent the changes in height of candle per hour.
we know,
∴ m=
m=
Next, forming an equation to know the original height of candle.
using equation;
We know, A candle is 7 inch tall after burning for 1 hour.
⇒
⇒
Adding both side by 0.5
⇒
Hence, the original height of candle was 7.5 inches.
Again using the same equation to find the height of candle after burning for 6 hour.
⇒
∴ y= 4.5 inches.
Hence, The candle will be 4.5 inches tall after burning for 6 hour.
Answer:
The required amount of mice is 11.82 gram.
Step-by-step explanation:
Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.
To find : How many mice should be included in our sample?
Solution :
The formula used in the situation is
Where, z value at 95% confidence interval is z=1.96
gram is the mean of the population
gram is the standard deviation of the sample
Substituting the value, to find x sample mean
Therefore, The required amount of mice is 11.82 gram.