Answer:
Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.
Step-by-step explanation:
We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.
<u><em>Let </em></u>
<u><em> = sample mean comprehensive strength</em></u>
The z-score probability distribution for sample mean is given by;
Z = 
~ N(0,1)
where, 
= population mean comprehensive strength = 5500 psi
= standard deviation = 100 psi
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( > 4985 psi)
P( > 4985 psi) = P( > 
) = P(Z > -15.45) = P(Z < 15.45)
= <u>0.99999</u>
<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>
1 pound = 16 ounces
8 * 16 = 128 ounces
Answer:
y=-1/4x
Step-by-step explanation:
METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:
All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.
With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.
METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)
Answer:
Correct choice is A
Step-by-step explanation:
For the numbers 13 and 88, find the difference 88-13:
since 88-13=75 and 
(two arithmetic means tells you there will be three intervals), two arithmetic means will be
The only correct sequence is 13, 38, 63, 88.
Answer:
4 × 3 = 3 × 4 4 \times 3 = 3 \times 4 4×3=3×44, times, 3, equals, 3, times, 4.
