Answer:
The area of the base is = 5.2 cm²
Step-by-step explanation:
<em>First, we need to know the formula to calculate volume:</em>
<em>if we change to our equations to the values we know:</em>
<em>Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:</em>
<em>We calculate the operation=</em>
<em>And the answer is 5.2 cm²</em>
<em>Let me know if you have any question :D</em>
1cm is worth 100km on the map that is you have 5cm they are equal 500km
The slope is 1 because it is parallel and y=x+b, so, 2=-3+b and b=5
y=x+5
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>