Answer: 20.77%
Step-by-step explanation:
There are 52 cards in a standard deck. Out of these cards, there are 12 face cards. Thus, the probability of drawing a face is 12/52.
On a 20-sided dice, there are 20 options of numbers to roll. Out of these 20 numbers, 18 of the numbers are greater than or equal to 3, making the probability 18/20, or 9/10.
To find the probability of two events, you need to multiply the probabilities together. Thus, you need to multiply 12/52 by 9/10.
(12/52) * (9/10) = 27/130
27/130 is about equal to 0.2077, or a 20.77% probability.
The answer is twenty-eight coins in all, or seven of each coin.
Add 18 to both sides to get:
px = 22
Then divide both sides by p to get:
x = 22/p
The answer is C.
Sense there's only a y, you'd assume y is 1 or 1y.
you'd make the 1 a negative 1 to get rid of the subtraction sign.
you'd add together the 2 ys making it 2y. then add -1 + 3, which would be 2.
so, the answer would be 2y + 2.
Answer:
<h2>3.6°</h2>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°
