Answer:
25
Step-by-step explanation:
6(x-5) = 4x+20
6x-30=4x-20
6x25=150-30=120
4x25=100+20=120
Answer:
|88-x| ≤ 14
Step-by-step explanation:
their score has to be within 14 points of 88.
if their score is above 88, the number will be negative, but the absolute value makes the number positive. if that number is still within 14 of 88, they pass.
if their score is below 88, the number will be negative, and the absolute value keeps the number positive. if that number is still within 14 of 88, they pass.
Pretty sure you’ll save 1 dollar for b and and lose one dollar for a
Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)
Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
- the defective probability is constant and independent.
- the sample size is bigger than one subject.
The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
- Sample size (amount of clips in the package): n=20
- Probability of defective clips: p=0.01.
- number of defective clips that trigger the money-back guarantee: k≥2
The probability of the package being refunded can be calculated as:
