Answer:
X = {8n – 7n – 1 : n ϵ N}
Y = {49 (n –1) : n ϵ N} — (1) [all terms divisible by 49]
X = {8n – 7n – 1}
= (1 + 7)n – 7n – 1
= 1 + nC1 7 + nC2 72 + ….. + nCn 7n – 7n – 1
= nC2 72 + …… + nCn 7n
= 49 [nC2 + nC3 7 + …. nCn 7n-2] — (2)
From (1) and (2),
X is divisible by 49.
Y has all multiples of 49.
X ⊂ Y
Answer: 10 verticesTo make a full circle(360 °), the number of 40° lines you need will be: 360/40=9 lines. So, the base of the pyramid would be made of 9 lines.Pyramid has a base and sides. The sides number is equal to the number of lines of the base. Then, the number of faces/vertices would be: 1 + 9= 10
If the question saying literally 40 edges(not degrees), then the pyramid base would be 40 lines. In this case, the number of vertices would be: 1+40=41
Answer:
y = 1/4x -10
Step-by-step explanation:
The equation would be y = 1/4x -10
we know that we have to set the equation up as y=mx+b
m being slope and b being y-intercept
we can see on the graph that the line intercepts the y-axis at -10, so that would be b
for slope, you can just look and count rise over run so:
it goes 10 up and 40 over which equals 10/40 also known as 1/4
hope that helped :)
Answer:
Probability of selling no more than 3 properties in one week is 42%
Step-by-step explanation:
With 18 properties to sell and 40% chance of selling any one, it means that she can sell 7.2 properties (18 x 40%) in a week.
To sell no more than 3 properties in one week, the probability will be 3/7.2 x 100 = 0.4167
Probability is the chance of one event taking place out of many events. It is calculated as the number of the one event taking place divided by the total number of events. It is expressed in decimal or percentage form.
This would be 3! ways
= 3*2*1 = 6 ways Answer
