Answer:
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 1.3
Sample size, n = 12
We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(sample mean hardness for a random sample of 12 pins is at least 51)
Calculation the value from standard normal z table, we have,
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
A: x = 2.4
b: m = 9.6
c: c = 2 5/12
d: m = 3.6
e: c = 6.6
Answer:
ax^2 + bx + c = 0
Here is a specific example:
5x^2 - 3x + 2 = 0
In other words:
You have zero on the right.
On the left, you have the powers of “x” in descending order.
Answer:
At a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would travel 1,333 km.
Step-by-step explanation:
If a kangaroo hops 2 kilometers in 3 minutes, to calculate how much distance this animal hops in 2 minutes, the following calculation should be performed:
2 km / 3 min = 0.666 km per minute (2/3 x 2)
0.666 km per minute x 2 minutes = 1.333 kilometers in 2 minutes (0.666 x 2)
Therefore, at a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would hop 1,333 km.
Answer:
x = 2, -3
Step-by-step explanation:
(x-2) = 0 or (x+3) = 0
x = 2 or x = -3
Thus, two values of x are x = 2, -3
Note: The options given are incorrect.
