Answer:
6/5 miles per hour or 1.2 miles per hour
Step-by-step explanation:
If Natalie walked 3/5 miles in 1/2 hour, then in 1 hour she would have walker 6/5 miles(3/5 * 2). You can write 6/5 as 1.2 (6 divided by 5). Thus, Natalie walked 1.2 miles per hour
Replace x in the equations and see which one gets the matching y :
-5(0) = 0 +1 = 1
-5(1) = -5 + 1 = -4
-5(-1) = 5 +6 = 6
The first equation works.
Answer:
Mean = 30516.67
Standard deviation, s = 3996.55
P(x < 27000) = 0.0011518
Step-by-step explanation:
Given the data:
28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800
Mean, xbar = Σx / n = 366200 /12 = 30516.67
Standard deviation, s = [√Σ(x - xbar) / n-1]
Using calculator, s = 3996.55
The ZSCORE = (x - mean) / s/√n
Zscore = (27000 - 30516.67) / (3996.55/√12)
Zscore = - 3516.67 / 1153.7046
Zscore = - 3.048
P(x < 27000) = P(Z < - 3.049) = 0.0011518
Step-by-step explanation:
3p + 7q = 55
7p + 7q = 91
(-)
-4p=-36
p=9
q=4
OK. A proportional relationship will graph as a straight line passing through the origin. Or in the case of a table the value y/x will remain constant.
So for the 1st problem, create a table of the hourly pay that Josiah and Tillery get for their first 5 years. To start you off, the 1st 2 years will be:
Year 1: Josiah = 14, Tillary = 7
Year 2: Josiah = 16, Tillary = 9
Now for each year, calculate the value of Josiah's pay by Tillary's pay. If the relationship is proportional, you'll get the same value every time. Put that value into the table as well.
And for the 2nd problem, simply graph a line with the number of text messages per boy and per girl. Have the x-axis represent text messages per boy and the y-axis represent text messages per girl. Make a few points for various numbers of messages, and draw a line through those points.
Is the resulting line straight? If it's straight, does it pass through (0,0)?