Answer:
And we can find this probability with this difference:
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".
Solution to the problem
Let X the random variable that represent the amount of cofee shops 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 with this difference:
Answer:
Step-by-step explanation:
first, 4l=2 x π x radius............................ eqn 1
next, find the value for the radius, r using
Area of a circle=πx radius squared
61.6=3.142 x r x r
61.6÷3.142=r x r
r x r= 19.6
r=4.43
then substitute the value of r in eqn 1
4l=2 x 3.142 x 4.43
4L=27.83812
L= 27.83812÷4
L≈6.96
area of a square = L x L
=6.96 x 6.96= 48.43
Answer:
rational
Step-by-step explanation:
A rational number can be expressed in the form
where a and b are integers.
= ± 6, and
± 6 × 
= ± 4 , that is 
or - ← rational numbers
Answer:
B. $3.45
Step-by-step explanation:
Number of cases of soda bought = 12
Total bill payed = $41.40
Let x represent the cost of 1 case.
Thus:
12x = $41.40
Divide both sides by 12
12x/12 = 41.40/12
x = 3.45
Cost of each case = x = $3.45
24=(n-3)(2)
24\2=(n-3)(2)/2 divide by two on both sides
12=n-3
12+3=n-3+3 add three on both sides to isolate the variable
15=n
Then check the work
24=(15-3)(2)
24=12(2)
24=24
