Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours.
We need to find out how far she traveled during this 7-hour period.
70 km/h * 2 h = 140 km
63 km/h * 5 h = 315 km
Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>
We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).
Then,
455km / 7h = 65 km/h.
Answer:
99% Confidence interval: (0.185,0.375)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 150
Number of cars that have faulty catalytic converters, x = 42
99% Confidence interval:
Putting the values, we get:
The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)
Answer:
Year in which the entrepreneur break even is 4
Step-by-step explanation:
We are given:
p(x) = x^3-4x^2+5x-20
We would find the value of x
Solving:
x^3-4x^2+5x-20 = 0
(x^3-4x^2)+(5x-20) = 0
x^2(x-4)+5(x-4) = 0
(x-4)(x^2+5)=0
=> x-4 = 0 and x^2+5 =0
x = 4 and x^2 = -5
x = 4 and x = ±√-5 or ±√5 i (not real solutions)
So, x = 4
So, year in which the entrepreneur break even is 4
Answer:
The dimensions of the box are 12 cm , 12 cm , 12 cm
Step-by-step explanation:
Let x , y and z be the dimensions of box
Volume of box =xyz=1728

Surface area of box = 
Let 
To get minimal surface area
and 


----1


Using 1

x=0 and 
Side can never be 0
So,
x=12

y=12

z=12
The dimensions of the box are 12 cm , 12 cm , 12 cm
Answer: D
Step-by-step explanation:
Is if you do 18-5=13 13 is what Toby scored