Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
Answer:
Confidence interval: (0.04649,0.04913)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100,000
Number of people who donated, x = 4781
95% Confidence interval:
Putting the values, we get:
is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.
Answer:
(2.8, 0.8)
(0.8, -1.8)
Step-by-step explanation:
1. Home (Xa, Ya)= (8, 6)
San Antonio (Xb, Yb)=(-5, -7)
Xa-Xb=8-(-5)=13
Ya-Yb=6-(-7)=13
Emily starts at 2/5 of the road, make it (Xc, Yc)
Xc= Xa-(Xa-Xb)2/5=8-5.2=2.8
Yc=Ya-(Ya-Yb)2/5=6-5.2=0.8
=> Emily starts at (2.8, 0.8)
2.
Emily ends at 3/5 of the road, , make it (Xd, Yd)
Xd= Xa-(Xa-Xb)3/5=8-7.8=0.8
Yd=Ya-(Ya-Yb)3/5=6-7.8=-1.8
=> Emily ends at (0.8, -1.8)
Answer:
0.5
Step-by-step explanation:
The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
The corresponding sequence is :
2,2.5,3,3.5, 4,....
We can see that there is a common difference of d=0.5.
Better still we could use the slope formula:
We substitute the point (1,2) and (2,2.5).
The rate of change of this sequence is:
Answer:
P= 20.2 and A= 15.675
Step-by-step explanation:
The formula for the area of a triangle is 1/2 base*height. Therefore, the equation for the area of the triangle is 1/2*5.7*5.5. 1/2*5.7=2.85. 2.85*5.5=15.675(area). To find perimeter you're simply adding the numbers. When you add up the numbers of the triangle, you get 20.2.
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