Answer: Hi! I'd love to help you but I'd need to see the graph.
Step-by-step explanation: Can you add a picture?
Answer:
2.28%
Step-by-step explanation:
mean = 5 years = 60 months
standard deviation = 6 months
X = number of years the tires will last
P = probability of ...
z = z-score
6 years = 72 months
z = (# of months - mean) / standard deviation
z = (72 - 60)/6
z = 12/6
z = 2
P(X > 72) = 1 - P(X < 72)
= 1 - P(z < 2)
(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)
So:
= 1 - .9772
= 0.0228 OR 2.28%
Answer: r = 11
Step-by-step explanation:
We know that the point (-2, r) lies on the graph of:
2*x + y = 7.
Then, if we that point is on the graph of the equation, we can replace the values and we will have:
2*(-2) + r = 7
and now we solve this for r-
-4 + r = 7
r = 7 + 4 = 11
r = 11
Answer:
Step-by-step explanation:
We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.
The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...
Sean's workplace is located 20 km from his home.
__
Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...
(20 km)/(1 h) = 20 km/h
Sean's speed driving to work was 20 km/h.
__
Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...
(10 km)/(2 h) = 5 km/h
Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.
_____
<em>Additional comment</em>
The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)
While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.
