Answer:
Step-by-step explanation:
cos θ=12/16=3/4=0.75
θ=cos^{-1}(0.75)≈41.4°
Answer:
The probability is 0.25
Step-by-step explanation:
Here is a probability question.
We want to know the probability of picking a card which is in the spades suit.
Now, what we know is that there are a total of 52 cards and we have 4 suites.
Each suite have equal number of cards. So definitely the number of cards in the spades suit will be 52/4 = 13 cards
Thus, the probability of picking any card in the spades suit = number of cards in the spades suit/ Total number of cards in the deck
Mathematically that would be 13/52 = 1/4 = 0.25
Answer:
1)
32x^2 - 28x - 15
2)
30x^2 + 54x - 12
Step-by-step explanation:
1.
(8x+3)(4x-5)
Using FOIL
= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)
= 32x^2 - 40x + 12x - 15
= 32x^2 - 28x - 15
2.
(10x-2)(3x+6)
Using FOIL
= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)
= 30x^2 + 60x - 6x - 12
= 30x^2 + 54x - 12
Answer:
H
Step-by-step explanation:
Plane K is shown with two lines. Points on one of them are A, B, G. Points on the other one are G, M, N.
The point in plane K that is not shown on any line is point H.
Answer:
The probability that the customer must open 3 or more bottles before finding a prize is 0.64
Step-by-step explanation:
In order for a customer to have to open at least 3 bottles before winning a prize, then the first two bottles shouldnt have a price. The probability that a bottle doesnt have a price is 1-0.2 = 0.8. Since the bottles are independent from each other, then the probability that 2 bottles dont have a prize is 0.8² = 0.64. Therefore, the probability that the customer must open 3 or more bottles before finding a prize is 0.64
