Which of the following is the graph of f(x)=║x║translated 2 units right, 2 units up, and dilated by a factor of 1/3?

Two numbers multiply to be -100 and add to 0

ipn [44]

Well, +10 and -10 can do that job.

6 0

3 years ago

Solve system by substitution x-5y=18 2×+6y=4

vfiekz [6]

Algebra Calculator
I will solve your equations by substitution.12y=4;x−5y=18
Step: Solve 12y=4for y:12y/12=4/12(Divide both sides by 12)y=13Step: Substitute 1/3 for y in x−5y=18:
x−5y=18
x−5(1/3)=18
x+−5/3=18(Simplify both sides of the equation)
x+−5/3+5/3=18+5/3(Add 5/3 to both sides)
x=59/3
Answer:x=59/3 and y=1/3

7 0

3 years ago

For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

Greeley [361]

Answer:

Devon has the lower z-score, so he ran the mile faster relative to his gender.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

Who ran the mile faster relative to their gender?

The lower the percentile of time ran, the faster. So whoever has the lower z-score ran the mile faster.

Devon

His best time to run the mile is 6.6 minutes.

These times are approximately normal with mean 8 minutes and standard deviation 1 minute.

We have to find Z when $X = 6.6, \mu = 8, \sigma = 1$ . So