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.
Answer:
The triangles can be congruent.
Step-by-step explanation:
They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.
The last side can be congruent if the diagonals are congruent in length by proving.
They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.
Answer:
Left-most x-intercept: (-5,0)
Right-most x-intercept: (3,0)
Step-by-step explanation:
X-intercepts are also known as roots, when y = 0.
In this function, y = 0 when x = -5 and x = 3.
A. 32/4=8
B. Square root of 9 = 3