Choice D
1/2 to the left 4 1/2 down
Answer:
Question 1
Total number of marbles = 5 + 7 + 8 = 20
(a)
- P(red, red) = 5/20*4/19 = 1/19
(b)
- P(white, blue or blue, white) = 7/20*8/19 + 8/20*7/19 = 14/95 + 14/95 = 28/95
(c)
- P(both same colour) = P(red,red or blue,blue or white,white) =
- 1/19 + 8/20*7/19 + 7/20*6/19 = (20 + 56 + 42)/380 = 118/380 = 59/190
Question 2
(a)
- P(A and B) = 2/9 * 4/11 = 8/99
(b)
- P(not A and not B) = (1 - P(A))(1 - P(B)) = 7/9*7/11 = 49/99
(c)
- P(A or B) = 1 - P(not A and not B) = 1 - 49/99 = 50/99
Answer:
sin(x) = ![\frac{7}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B25%7D)
x = 16.26°
Step-by-step explanation:
First use Pythagorean theorem to find the length of the hypotenuse. Use
. Since we know a and b we can plug in to find c. When we plug in we get:
. When we solve this out we get 25 = c.
Now that we know the value of c, we also know sin(x) =
. Using this we see that sin(x) =
.
To get the exact degree value of x, take the inverse sin of
:
which gives us 16.26020° rounded to 16.26°