Answer:
P(A) = 3/20
Step-by-step explanation:
P(A)=P(blue)P(head)=(3/10)(1/2)=3/20
as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.
So in total
P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15
Answer:
a) reflection across the x-axis, shift 8 units left
b) vertical stretch of 2, reflection across the y-axis, shift up 1
Step-by-step explanation:
The negative sign outside the square root represents a reflection across the x-axis, and the +8 inside represents a shift 8 to the left
The 2 outside the square root represents a vertical stretch of 2, and the negative sign inside the square root represents a reflection across the y-axis. The +1 at the end represents a shift up 1
-2k - (-7)k
= -2k + 7k
= 5k
-7(p + 2) + 9(p - 4)
= -7p - 14 + 9p - 36
= 2p - 50
3⁻¹ is <u>greater than </u>1/4
<u>Step-by-step explanation:</u>
3⁻¹ is nothing but the inverse of 3 .
So it can be written as 1/3.
Value of 1/3 can be found by dividing 1 by 3 to be 0.333...
Value of 1/4 can be found by dividing 1 by 4 to be 0.25
So 0.333 > 0.25
1/3 > 1/4
∴ 3⁻¹ > 1/4