Answer: 16x+3+x214
Step-by-step explanation:
Multiply 2 and 2 to get 4.
4+16x+x214−1
Subtract 1 from 4 to get 3.
3+16x+x214
To add or subtract expressions, expand them to make their denominators the same. Multiply 3+16x times x2x2.
x2(3+16x)x2+x214
Since x2(3+16x)x2 and x214 have the same denominator, add them by adding their numerators.
x2(3+16x)x2+14
Do the multiplications in (3+16x)x2+14.
x23x2+16x3+14
Answer:
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1.)
(0, 4)
(1, 7)
y = 3x + b
(4) = 3(0) + b
b = 4
y = 3x + 4
Rate of change: 3 initial value: 4
2.)
(0, -5)
(1, -3)
y = 2x + b
(-5) = 2(0) + b
b = -5
Rate of change: 2 initial value: -5
(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%
Answer:
$319.68
Step-by-step explanation:
First, you have to add up all the hours. 4 + 4.5 + 7.25 + 12 = 27.25. Then, you multiply that times the amount of money per hour (11.52) and get $319.68 for the whole week. Hope this helped! If it did, please mark me as brainliest. Thanks!
