Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 3y − 11
Answer:
15 yds
Step-by-step explanation:
40 divided by 50 equals 4/5, so the lengths of the other triangle have to match that ratio. 3 fits into 12 four times and 15 five times, which makes it a four to five ratio.
<em>Hi there!</em>
<em>~</em>
<em>If my logic doesn't fail me here, we have a total of 290 + 145 + 4 = 439 total 6s.</em>
<em>Hope this helped you!</em>
1/6 ma^2
You can solve this by considering moment of inertia of a square plate along the central axis and using the perpendicular axis theorem.
Answer:
18.14% probability that you would get at least 12 questions correct.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.