What is the solution to this system of linear equations?2x + y = 13x – y = –6(–1, 3)(1, –1)(2, 3)(5, 0)
1 answer:
You might be interested in
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:
Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.
Answer:
To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.
Step-by-step explanation:
Reminder: since the 25% is a tax rate which we need to <u>subtract</u> from the salary, 75% would be what is left over from the salary after taxes.
<u>Job 1:</u> Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.
<em><u>So the monetary value of Job 1 would be $36,275</u></em>
<u>Job 2:</u> Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.
<em><u>So the monetary value of Job 2 would be $37,425</u></em>