9514 1404 393
Answer:
A. 0.8340
Step-by-step explanation:
The mean difference between walking time and bus time is the difference of their means: 16 -12 = 4 minutes.
The variance of the difference between walking time and bus time is the sum of the variances of the two distributions:
(4 min)² +(1 min)² = 17 min²
Then the probability that walking will be slower is the probability that the difference is greater than 0.
P(dif > 0) = P(Z > (0 -4)/√17) = P(Z > -0.970143)
P(dif > 0) ≈ 0.8340
The probability the bus will be faster is about 0.8340.
Answer:
Option B.
Step-by-step explanation:
The demand function is

where p is price.
Solve the demand equation for p.


The revenue function is

Substitute the value of p in the above function.


Differentiate with respect to q.

Equate R'(q)=0,


Divide both sides by 2.

Therefore, the correct option is B.
I=PRT
r=rate in percent
t=time in years
p=principal
convert percent to decimal
assuming you means at 7%
percent means parst out of 100
7%=7/100=0.07
so ow we have
p=8000
r=0.07
t=5
i=8000 times 0.07 times 5
I=40000 0.07
I=2800
interest=$2800
Answer:
23,084-9,567= 13,517 so he will have to pay $13,517
Answer:
The correct option is a=5, b = -4, c=7 ....
Step-by-step explanation:
The standard form is ax²+bx+c=0
where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
The given expression is:
4x + 5x2 = 8x – 7
To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.
4x+5x²-8x+7=0
Now solve the like terms and arrange the equation according to the standard form:
ax²+bx+c=0
5x² - 4x +7 =0
Here a = 5
b = -4
c= 7
Thus the correct option is a=5, b = -4, c=7 ....