Answer: Our required probability would be
Step-by-step explanation:
Since we have given that
Let A be the event that Kirk has the ace of spades.
Let B be the event that everyone has an ace.
So, P(A) =
P(B) =
And P(A∩B) =
So, P(Kirk has the ace of spades | each of them gets an ace)
Hence, our required probability would be
75 miles per hour means,
75 miles per 60 minutes.
And this makes 1.25 miles per 1 minute.
1 mile is 1760 yards.
So 1.25 miles is ;
1.25 * 1760 = 2200 yards.
Answer is 2200 yards per minute.
Answer:
Approximately 54°
Step-by-step explanation:
So we know Angle A, the side opposite to Angle A, and the side opposite to Angle B (the angle we want to find). Given these circumstances, we can use the Law of Sines.
The Law of Sines states that:
The variables do not really matter. Instead, it's more important that the angle corresponding to the side lines up with each other.
Anyways, since we know Side A, Angle A, and Side B, let's use the first and second ratios:
Plug in 80° for A, 11 for a, and 9 for b:
Cross multiply to solve for B:
Divide both sides by 11:
Use the inverse sine function. And finally, use a calculator to solve:
Answer: 4(2x²+9) or
Step-by-step explanation:
To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.
8x²=-36 [add both sides by 36]
8x²+36=0
When it comes to factoring, we want to pull out numbers or variables that are common in each term.
8x²+36=0 [take out a 4 in each term]
4(2x²+9)=0
It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.
To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).
4(2x²+9)=0 [divide both sides by 4]
2x²+9=0 [subtract both sides by 9]
2x²=-9 [divide both sides by 2]
x²=-9/2 [square root both sides]
or