36 , if I’m wrong i am so sorry but its the only number that can fit!
Answer:
yes
Step-by-step explanation:
4/3 is equal too 1.3333333333333333333333333333333333333333333333333333 (repeating)
Answer: a) 13 macaroons
b) 6 cookies
Step-by-step explanation: Total = $10
a) $2.20/slice of pie
$0.60/macaroon
10 - 2.20 = 7.80
7.80/0.6 = 13
b) $4.60/loaf
cookies = 1 1/2*macaroons = (1 + 0.5)*0.6 = 1,5 * 0.6 = 0.90
cookies = $0.90
10 - 4.60 = 5.40
5.40/0.9 = 6
Answer: 4.6 mi
Step-by-step explanation:
Suppose the points A, B, C and S shows Alba, Blare, Cray and Service station respectively,
Then, We have to find out the line segment CS = x = ?
Now, In the triangles ACB and CSB,
( Right angles )
( Reflexive angles )
Thus, by AA similarity postulate,

By the property of similar triangles,





Hence, the approximate length of the new road = 4.6 miles
Answer:


And using a calculator, excel ir the normal standard table we have that:

And we can calculate the probability like this:
Step-by-step explanation:
A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?
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".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
and 
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:

We can find the probability required like this:


And using a calculator, excel ir the normal standard table we have that:

And we can calculate the probability like this:
