Answer:
5.8 cm
Step-by-step explanation:
Area of the shaded sector of the circle = 31.2 cm²
Angle (θ) of the minor sector = 360 - 256 = 104°
Are of sector of a circle is given as, θ/360*πr²
Therefore:
Divide both sides by 0.91
(nearest tenth)
Answer:
Step-by-step explanation:
Do you mean 27 units² ?
A cube has six congruent, square faces. Area of one face = (27/6) units²
Length of one edge = √(27/6)
= √(9/2)
= √9/√2
= 3/√2
= 3√2/2 units
The way I like to figure out problems like this is to write it out like,
1/10 = x/6000
(One over ten equals x over 6000)
Then you find out how much you multiplied 10 by to get 6000. To do this you can divide 6000 by 10 getting 600. The rule "what you do to the bottom you have to do to top" in this equation. So since you multiplied the bottom by 600 you have to multiply the top by 600 as well. 600 times 1 is just 600.
So your answer is, 600 is 1/10 of 6000.
Hope this helps and isn't too confusing.
Answer:
The total number of apples is 17
Step-by-step explanation:
(a)
Number of green apples = 4
P ( that all three apples are green)
= (limit 4 and 3) / (limit 17 and 3)
= 4! / 3!(4−3)!
= 17! / 3!(17−3)!
= 1 / 170
= 0.005
(b)
Number of red apples = 8
P(that all three apple are green)
=(limit 8 and 3) / (limit 17 and 3)
= 8! / 3!(8−3)!
= 17! / 3!(17−3)!
= 7 / 85
= 0.082
Now,
P(that no three apple is red)= 1−0.082 = 0.918
c)
P(of selecting 4 apple that contain at least 2 red apples)
= (limit 8 and 2) /( limit 17 and 2) X (2/15) + (limit 8 and 3) /(limit 17 / 3) X (1/14)
= (7/34) × (2/15) + (7/85) × (1/14)
= 0.027 + 0.058
= 0.085
d)
P(that the second apple selected is yellow given that the first apple is red)
= (limit 5 and 1) / ( limit 16 and 1)
= 5! / 1!(5−1)!
= 16! / 1!(16−1)!
= 5 /16
= 0.3125
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
