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VashaNatasha [74]
3 years ago
10

A pair of fair dice is rolled.

Mathematics
2 answers:
mezya [45]3 years ago
5 0
A) 4/36, or 1/9
b) 1-1/9=8/9
Kobotan [32]3 years ago
5 0
Sample space={6 x 6} = 36 possible outcomes:

Favorable outcome {(3+6),(4+5),(5+4),(6+3) = 4 favorable outcome:

P(getting a sum = 9) = 4/36 = 1/9 = 0.1111

the odds  AGAINST = the number of failure/number of success

the odds  AGAINST = 1/9
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The time it takes you to get to campus varies inversely as your driving rate. averaging 20 miles per hour in terrible​ traffic,
Korvikt [17]
Given that the time taken to get to campus is inversely proportional to driving rate, let the time be t and rate be r, thus the function will be written as:'
t=k/r
where
k is the constant of proportionality given by:
k=tr
when r=20 mph, t=1.25 hrs
thus
k=20×1.25
k=25 miles
thus the formula is:
t=25/r
when r=55 mph, the value of t will be:
t=25/55
t=5/11 hours

3 0
3 years ago
Please please help me
Gekata [30.6K]

Answer:

\large\boxed{\dfrac{\boxed{8}}{81}}

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

8 0
3 years ago
Find the mean for the scores : 3810;5300;8540;4300,5340
Aleonysh [2.5K]

Answer: 5458

Step-by-step explanation: So the mean is the same thing as the average. To find the mean you add up all of the numbers, and then divide by 5 because there are five numbers. So the sum would be 27,290. Then that divided by 5 would be 5458.

3 0
3 years ago
Read 2 more answers
What would be the least common denominator of 5/6 and 2/9?
AURORKA [14]

Answer:

the least common denominator is 54 although there are some that are higher ones

Step-by-step explanation:

5 0
3 years ago
To make four and a half gallons of ice cream it takes 6 3/10 gallons of milk how many gallons of milk does it take to make one g
MAVERICK [17]
Ice cream = 4 1/2 gallons
milk = 6 3/10 gallons

ice cream: 4 1/2 = (4*2 + 1)/2 = 9/2
milk: 6 3/10 = (6*10 +3)/10 = 63/10

milk:ice cream  proportion: a:b = c:d  where a*d = b*c
a = 63/10 ; b = 9/2 ; c = x ; d = 1

63/10:9/2 = x:1
63/10 * 1 = 9/2 * x
63/10 = 9x/2
63/10 * 2 = 9x/2 * 2
126/10 = 9x
126/10 * 10 = 9x * 10
126 = 90x
126/90 = 90x/90
1 36/90 = x

x = 1 36/90  simplified to 1 13/30

1 13/30 gallons of milk will make 1 gallon of ice cream.
5 0
3 years ago
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