Answer:
16
Step-by-step explanation:
f(x) = 2x^2 + 4x + 10
f(-3) = 2(-3)^2 + 4(-3) + 10
f(-3) = 2(9) + (-12) + 10
f(-3) = 18 + (-12) + 10
f(-3) = 16
10. he owes more than
11. she spent $55, she is $55 in debt
12. yes. -12 and 12 have the same absolute value, they ate both the same distance from 0
13. yes
14. not the opposite but the inverse
Answer:
The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.
Step-by-step explanation:
We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.
Let = <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>
The z-score probability distribution for the sample mean is given by;
Z = ~ N(0,1)
where, = population mean length of rods = 259.2 cm
= standard deviaton = 2.1 cm
n = sample of steel rods = 17
Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( > 259 cm)
P( > 259 cm) = P( > ) = P(Z > -0.39) = P(Z < 0.39)
= <u>0.65173</u>
The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.
B is less than or equal to -11
Answer: Associative property
Step-by-step explanation: