Answer:
14
Step-by-step explanation
Count the whole squares and you get 12. Then count the triangles and you have four. Two triangles = 1 square so you have two squares. After add two and 12.
Answer:
$3.4875
Step-by-step explanation:
AS the ride is completed and according the rule the person have to give a tip on the total taxi ride
according to the given
tip given 15%
Total ride cost = $23.25
To find is the total tip given in dollars
Solution:
Total tip in dollars = 15 % of total ride cost
Putting the values of the given
Total tip in dollars = 15 % of 23.25
it can be written as
= 
=
=$ 3.4875
So the total tip would be $3.4875
Answer:
4
Step-by-step explanation:
Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.
Answer:
Step-by-step explanation:
Hello!
The variable of interest in this case is:
X: length of time before a major repair is required on a new car. (months)
This variable has a normal distribution with mean μ= 36 months and a standard deviation σ= 9 months.
If he wants to set a guarantee period in which only 5% of the sold cars fell, the objective is to find the value of X that has below 5% of the cars that need major repairs before the end of the guarantee period.
Check the attachment, the curve represents the distribution of the population of the time it takes before a new car needs major repairs, I've marked approximately where this value of X should be.
Symbolically:
P(X≤a)=0.05
To reach the proper value of "a" you have to work using the standard normal distribution because is a tabulated distribution and you can extrapolate it to any normal distribution.

So the first step is to look in the table of the Z distribution for the value that accumulates 0.05 of probability since it is such a low probability, you have to look for the value in the left side of the table (negative values of Z). You look for 0.05 in the body of the table and then the margins for the corresponding value (see second attachment)

Then the value that accumulates 0.05 of probability is -1.64, now you have to reverse the standardization to reach the asked value of X
Z= (a- μ)/σ
(Z*σ)= a - μ
a=(Z*σ)+ μ
a=(-1.64*9)+36
a= 21.24 months.
The guarantee period should be 21.24 months so that only 5% of the sold cars will need major repairs before it wears of.
I hope it helps!
Answer:
No solutions.
Step-by-step explanation:
If you normalize the second one by dividing by 2, you get:
y = 5/2x+4.
Now you see that both have the same slope (5/2). They are parallel lines that never intersect.