Answer:
Rectangle C is not similar to the other 2
Step-by-step explanation:
3*2=6
1*2=2
Answer:
x = -3
Step-by-step explanation:


Add 2/3 x to both sides: 
Subtract 8 from both sides: 
Multiply both sides by 3: 
Divide both sides by 11: 
Therefore, point of intersection between both lines is at point (-3, -1)
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>
If the temperature dropped by 7.f each hour from 5:00 am to 9:00 am. the beginning temperature at 5:00 am if the temperature at 9:00 am was -10.f is 18.f.
<h3>
Beginning temperature</h3>
Dropped in temperature=7.t
Number of hours= 5:00 am to 9:00 am=4 hours
Temperature at 9:00 am=-10.f
Hence:
Beginning temperature can be calculated as:
Beginning temperature=(4× 7) + (-10)
Beginning temperature=28 + (-10)
Beginning temperature= 18.f
Check:
Since temperature dropped by 7.f each hour from 5:00 am to 9:00 am
which implies that temperature 7.f dropped for 4 hours.
Hence:
18-7-7-7-7=-10.f
Therefore If the temperature dropped by 7.f each hour from 5:00 am to 9:00 am. the beginning temperature at 5:00 am if the temperature at 9:00 am was -10.f is 18.f.
Learn more about Beginning temperature here:brainly.com/question/24746268
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