<span>To solve this we have to set up our inequality expressions with the given information:
5 * (x + 27) >= 6 * (x + 26). Now that we know the expression we can solve for x to determine the solution set. We have to rearrange and simplify the equation as follows: 5x + 135 >= 6x + 156. Now we get the x terms on one side and the integers on the other so we can solve for x: -21 >= x . The solution set would be that the number is less than or equal to -21.</span>
Answer:
P(B/C) = 0.3333
Step-by-step explanation:
let's call B the event that a woman was wearing a belt and C the event that a woman was carrying a purse.
The probability P(B/C) that a woman was wearing a belt, given that the woman was also carrying a purse can be calculated as:
P(B/C) = P(B∩C)/P(C)
Where P(C) is the probability that a woman was carrying purse and P(B∩C) is the probability that the woman was both carrying purse and wearing belt.
So, P(C) is calculated as:
P(C) = 18 / 30 = 0.6
Because there were 30 women that walked by in an hour and of those women, 18 were carrying purses.
At the same way, P(B∩C) is equal to:
P(B∩C) = 6 / 30 = 0.2
Finally, P(B/C) is equal to:
P(B/C) = 0.2/0.6 = 0.3333
Solution :
The formula for the linearization of a function 
at a point 
= a is given as
Assuming the time is t and the distance travelled is 
, that makes the speed as 
.
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ 
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ 
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
= 7 - 1
= 6 km
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
Answer:
4
Step-by-step explanation:
4x4= 16
Answer:
The length of Ave's garden is 8 feet.
Step-by-step explanation:
The area of a rectangle can be calculated by:
A = l × w
Where; A represents the area, l the length and w, width.
Thus from the question,
32 = l × 4
l = 32 /4
l = 8
Therefore, the length of the garden required is 8 feet.
