How can we have the best thing
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The perpendicular slope would be the negative reciprocal of -3, which is .
Let's see what the y-intercept should be, by finding one third of -6 and seeing how much we need to add or subtract to reach -9.
1/3 times -9 is -3.
To reach -6, we need to subtract 3.
So, the y-intercept is 7.
The equation is: .
Answer:
Samuel needs 23 pieces of wood. Theresa needs 46 pieces of wood.
Step-by-step explanation:
Samuel:
= 23.06 = 23 pieces of wood
Theresa:
If Theresa needs twice as much wood as Samuel needs, and Samuel needs 23 pieces of wood, then she needs 46 pieces of wood, since 23 x 2 = 46.
Answer:
4.75% of the bottles are succesful.
Step-by-step explanation:
Problems of normally distributed samples can be 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:
.
If these bottles are shipped 12 to a carton, in what proportion of cartons will at least one of the bottles have a bursting strength exceeding 300 psi?
This proportion is the percentage of the bootles that exceed 300 psi. This is 1 subtracted by the pvalue of Z when .
has a pvalue of 0.9525.
This means that the proportion of sucesses is 1-0.9525 = 0.0475 = 4.75% of the bottles.