Answer:
Mia's test score is 44 if she got 3 questions wrong.
Mia's test score is (50-2x) if she got x questions wrong.
Step-by-step explanation:
It is given that, Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points.
If she got 3 questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks


So, Mia's test score is 44 if she got 3 questions wrong.
If she got x questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks

So, Mia's test score is (50-2x) if she got x questions wrong.
Answer:
24w - 21
Step-by-step explanation:
-8(2 - 3w) - 5
We first expand the -8
-16 + 24w - 5
We then add -16 to -5
-16 + -5
= -21
We get the 24w, put in in the equation and get 24w - 21
Answer:
Confidence interval @ 90% = [0.5324 < p < 0.5656]
Step-by-step explanation:
We are given the following information:
Sample size (n) = 2430
Proportion of win (p) = 0.549
Proportion of loss (q) => 1-p = 0.451
By formula of confidence interval,
CI = p ± Z(90%) *
,
CI = 0.549±(1.645* ((0.549*(0.451))/2430))^(0.5)
CI = [0.5324 < p < 0.5656]
B. The independent variable is the driving speed, and the dependent variable is the gasoline consumption.
Gasoline consumption will either increase or decrease based on the driving speed of the car.
The weight of the car is not essential in determining the relationship between driving speed and gas consumption.
Y = 5/2 x + 2
2 y = 5 x + 4 ( we will use the substitution method )
2 ( 5/2 x + 2 ) = 5 x + 4
5 x + 4 = 5 x + 4
0 · x = 0
x , y ∈ R
Answer : C ) infinitely many solutions.