Answer: please find the attached file for the graph.
Step-by-step explanation:
Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5
Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.
In bar chart, the bars will not touch each other.
Please find the attached file for the solution and figure
Answer:
Probability of each situation is 1/3 .
Step-by-step explanation:
There are 3 possibilities
1- Train will arrive early
2- Train will arrive on time
3- Train will arrive late
Formula for Probability of event a is = n(a)/Sum of events
In this case sum of events = 3
So
Probability of early arrival = 1/3
Probability of on time arrival = 1/3
Probability of late arrival = 1/3
This composite figure consists of a right triangle and semicircle
The area of a triangle is: 1/2(bh)
The area of a semicircle is 1/2(pi)(r²)
Plug in the values:
1/2( 12)(8)
=48
1/2(3.14)(4²)
=25.12
25.12+48=73.12
Hope this helped :)
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-
y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-
y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-
(3) since y=3, and we'll get x=7-
, or x=7-2, or x=5.
x=5
y=2
So 2680 divided by 100 is 26.80 which is 1%, times 26.80 by 5 to get 5% = £134, £2680+134= £2814