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:
20/24. Simplified answer is 5/6
Step-by-step explanation:
5/8 divided by 3/4 is the same as asking 5/8 times 4/3
When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!
So, now we have 5/8 times 4/3
Step 1: Multiply the numerators together. 5 times 4 = 20
Step 2: Multiply the denominators together. 8 times 3 = 24
Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24
Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.
20 divided by 4 = 5
24 divided by 4 = 6
So, 20/24 is equal to 5/6.
Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Answer:
Kian's method is correct.
Step-by-step explanation:
Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.
Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.
Answer:
x+y=-2
7x-4y=8
Step-by-step explanation:
