Can somebody help me make the 2 equations for each problem. I'm confuzzled
1 answer:
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Option C
The standard form of the equation for y + 7 = -2/5(x - 10) is 2x + 5y = -15.
<u>Solution:</u>
Need to determine standard form of equation of line passing through points (-5, -1) and (10, -7) and having slope form as
Standard form of equation of line is such that terms having variables are on left hand side and constant terms on right hand side.
So let’s simplify given slope form.
On opening the brackets we get
=> 5(y + 7) = -2x +20
=> 5y + 2x = 20 – 35
=> 2x +5y = -15
Hence the standard form is 2x + 5y = -15.
Answer:
Josh's ERA had a z-score of -3.26.
Alice's ERA had a z-score of -1.11.
Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Josh:
ERA of 2.89, mean of 5.083, standard deviation of 0.672. So
, and the z-score is:
Josh's ERA had a z-score of -3.26.
Alice:
ERA of 3.31, mean of 4.032, standard deviation of 0.649. So
, and the z-score is:
Alice's ERA had a z-score of -1.11.
Which player had the better year relative to their peers, josh or alice ?
Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.