Answer:
99
Step-by-step explanation:
I can’t see the variable k in the given picture
Remember that A squared plus B squared equals C squared.
Since sides F_D and D_E are both 3, the answer cannot be 4.2 or 2.4.
SO basically you just add 3 + 3 = (The side F_E, which you can get by putting numbers in the formula), you should get your answer.
3² + 3² = Line EF²
9 + 9 = Line EF²
18 = Line EF²
√18
You get the idea. Hope this helps!
Answer:
1) $38.40 2) $255. 3) $5.80 4) $3.12
Step-by-step explanation:
So you have to multiply the years by the amount of money you have. Then you multiply that by the percent and divide by 100. (For the last one: because its a month you have to make it a fraction so it was 8/12)
Answer:
a)
b) 
Step-by-step explanation:
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".
Part a
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability like this:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Part b
For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean
is given by:
And the new z score would be:


