Answer:
-2/3
Step-by-step explanation:
The only way the answer could be one is if the exponent is 0
So 3x-2=0:
3x = -2
x = -2/3
Hope this helps!
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes
(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)
Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes
(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%
With actual average time to walk to the bus stop being 10 minutes;
(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes
(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.
(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0
From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
Absolute value function domain is all real numbers
absolute value has vertex of(0,-3)
and it opens up
means that the lowest y value is -3
highest is infinity
domain=-inifnity to infinity
range=-3 to positive initnify
the answer is C for the domain and B for the range
Answer:
-The slope:
Step-by-step explanation:
-To find the slope, you need this trick:
-So, according to the graph, start to the first doted point which is (0,1) to get to the second doted point, which is (2,4) on the graph, by counting how far up and how far across:
Rise: 3
Run: 2
So, therefore the slope is 
.
Answer: 2?
Step-by-step explanation:
