On a coordinate grid, point P is at (4, 3) and point R is at (−2, −5). Points Q and S are a reflection of both points across the
1 answer:
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- - We are finding the value of "X"
"x" Is representing an unknown number, one that we must solve to find.
• The first step is going to be distributing our equation.
↓ ↓ ↓ ↓ ↓
• Now we are going to do like terms by combining them.
• Now need to add "1" to both sides of our equation to get our final answer.
- - Final answer; x =
"x" Is representing an unknown number, one that we must solve to find.
• The first step is going to be distributing our equation.
↓ ↓ ↓ ↓ ↓
• Now we are going to do like terms by combining them.
• Now need to add "1" to both sides of our equation to get our final answer.
- - Final answer; x =
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.