Answer: B. x + y + z = 11
2x + 3y + 2z = 27
x + 2y + 2z = 19
C. x + y + z = 11
Step-by-step explanation:
Let x represent the number of dramas that each of them chose.
Let y represent the number of comedies that each of them chose.
Let z represent the number of documentaries that each of them chose.
Gina chose 11 movies total. This means that
x + y + z = 11 - - - - - - - - - - - 1
Sam chose twice as many dramas, three times as many comedies, and twice as many documentaries as Gina. He chose 27 movies total. This means that
2x + 3y + 2z = 27 - - - - - - - - - - - 2
Robby chose 19 movies total with the same number of dramas, twice as many comedies, and twice as many documentaries as Gina. This means that
x + 2x + 2y = 19 - - - - - - - - - - - 3
equations 1,2 and 3represents their movie choices.
F(x)=3x²+2 . The intersection of this parabola with y-axis is 2 [f(0)=2]
If you want to stretch it vertically by a factor of 4. that means instead of 2 previously calculated the total stretch should be 2.4 =8 [f(0)=8]
The stretched equation becomes(x) = 3x² + 8
Answer:
D.) Trapezoid
Step-by-step explanation:
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Answer:
after 2 months the total cost will be the same.
Step-by-step explanation:
21+20x=27+17x subtract 17x on both sides because its the lowest coefficient
20x- 17x = 3x 17x-17x= cancel out
subtract 21 on both sides because its the lowest number
21-21= cancel out. 27-21=6
divide the coefficient by both sides
3x/3= x
6/3= 2
x=2
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!