Answer:
The distance between x and y on the number line is 2x
Step-by-step explanation:
we know that
If y is the opposite of x
then
The distance between x and y is equal to
Answer:
x > -1
See picture.
Step-by-step explanation:
Hope this helps.
Answer:C. (77.29, 85.71)
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean test score of randomly selected students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
81.5 +/- 1.96 × 10.2/√25
= 81.5 +/- 1.96 × 2.04
= 81.5 +/- 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5016
The upper end of the confidence interval is 81.5 + 3.9984 =85.4984
Therefore, the correct option is
C. (77.29, 85.71)
0-5 because 25th percentile can also be known as the 1st quartile or the first 25% of it. so since the medium is 8 then it would be the first interval or 0-5.
if i am wrong please let me know.
Answer:
Let x = amount of 45% antifreeze
Let y = amount of 70% antifreeze
EQUATION 1: x + y = 150 (total of 150 gallons mixed)
EQUATION 2: .45x + .75y = .55(x + y)
Simplify and solve the system of equations
Multiply second equation by 100 on both sides to remove the decimals
45x + 75y = 55(x + y)
Combine like terms
45x + 75y = 55x + 55y
45x - 55x + 75y - 55y = 0
-10x + 20y = 0
Now we have the following system of equations:
x + y = 150
-10x + 20y = 0
Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x
10x + 10y = 1500
-10x + 20y = 0
------------------------------
30y = 1500
Solve for y
30y = 1500
y = 50
Since the total mixed gallons is 150, x = 150 - 50 = 100
So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze
