9514 1404 393
Answer:
(x, y) = (3, 2)
Step-by-step explanation:
The attached graph shows the solution.
(x, y) = (3, 2)
Answer:
6.1
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) * h where b1 and b2 are the lengths of the bases
108.6 = 1/2 ( 12+p) *12
108.6 = 6 (12+p)
Divide each side by 6
108.6 /6 = 12+p
18.1 = 12+p
Subtract 12 from each side
18.1-12 = 12+p-12
6.1 = p
When you divide a fraction by a fraction, you're really just multiplying by a reciprocal. A reciprocal is the fraction flipped around.
So, 1/8 <span>÷ 1/4 is the same thing as 1/8 x 4/1
Now, you just multiply. 1 times 4 is 4. 8 times 1 is 8.
1/8 x 4/1=4/8
4/8 simplified is 1/2
So that is how 1/8</span><span>÷1/4=1/2</span>
Answer:
6a) i- 2hrs 36mins ii- 3hrs 12mins
b) car A≈ 76.9km/h car B≈ 62.5km/h
c)------
7a) 35km
b) car A=75km car B=60km
c) 30km
d) car A≈36mins car B≈48mins
Step-by-step explanation:
6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.
b) Using the answer from a, you divide 200km by the time.
For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6
∴ car A: 200/2.6≈ 76.92km/h
For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2
∴ car B: 200/3.2≈ 62.5km/h
7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.
b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).
c) Difference from car A line to car B:
155km-125km=30km
d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.
Hope this helps.
Answer: 9
Step-by-step explanation:
Based on the information given in the question, the expected number of people who pass will be calculated as:
= Probability of passing the driving test × Number of people tested
= 65% × 15
= 0.65 × 15
= 9.75
Therefore, expected number of people who pass is 9.
