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Zigmanuir [339]
3 years ago
13

The ratio of blue to red marbles to red marbles in a bag is 11:9. If there are 99 blue marbles in a bag, how many red marbles ar

e there?
Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer: 81

Step-by-step explanation: Divide the number of blue marbles by the number in the ratio of the number of blue marbles. 99/11=9. Then multiply that by 9 to get the number of red marbles. 9*9=81.

You might be interested in
Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
3 years ago
Help plz i need help
Flauer [41]
The answer is: 0.24 x 100 = 24%
5 0
3 years ago
Read 2 more answers
Need help at this question
olga2289 [7]
The answer is definitely 2.4>3x
7 0
2 years ago
A line has a slope of 5/6 and y-intercept of -3. Which equation is the equation of the line?
masha68 [24]
Y=mx+b
m=slope
b=yint

slope=5/6
ying=-3
equation is y=5/6x-3
6 0
3 years ago
I'm so confused I need help please
Leviafan [203]

Answer:

CD||GH is "equal"  ABD is "Right angle" and ABD||GEF is "Approximately equal"

8 0
3 years ago
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