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Arturiano [62]
3 years ago
12

Donavan and Jones are randomly choosing chalices to drink from. 4 of the chalices contain purified water, 5 contain spoiled milk

, and 6 contain diluted flat soda. Jones gets to choose a chalice from the remaining ones after Donavan drinks from 3 of them. If the chances of Jones choosing a chalice with purified water is then 1/3, how many of the chalices that Donavan drank out of contained purified water?
Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

0

Step-by-step explanation:

Chalice with purified water = 4

With spoiled milk = 5

With flat soda = 6

Probability of Jones drinking from a chalice with purified water after Donovan had drank from 3 = 1/3

Probability = required outcome / Total possible outcomes

Total possible outcomes = (4 + 5 + 6) = 15

After Donovan drinks 3 :

Total possible outcomes = (15 - 3) = 12

If the probability of Jones choosing a chalice with purified water is 1/3 then :

(Required outcome / Total possible outcomes) =1 /3

(Required outcome / 12) = 1 / 3

Required outcome * 3 = 12

Required outcome = 12 / 3

Required outcome = 4

Therefore, since initial number of chalice with purified water is 4,

4 - 4 = 0

Then Donovan did not drink from a chalice containing purified water.

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Ashley can bake 64 cakes in 12 hours how many can she bake in 36 hours
mrs_skeptik [129]

Answer:

192 cakes

Step-by-step explanation:

36/12= 3

You multiply both numbers by 3:

12*3= 36 hours

64*3=192 cakes

192 cakes in 36 hours

6 0
3 years ago
How to write an inequality stating the restrictions of x
inessss [21]
For example
1>x>3
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6 0
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Suppose j varies jointly with g and v, j=1 when g=6 and v=3. Find j when g=8 and v=11
Lady bird [3.3K]

j=4.88 when g=8 and v=11

Further explanation:

When the increase/decrease in one quantity cause increase/decrease in other quantity, it is called direct variation.

Variation is always accompanied by a variation constant.

<u>Given</u>

g and v vary directly with j

IT can be written as:

j∝gv

Putting the variation constant k

j = kgv

Putting g = 6 and v=3

j = kgv\\1 = k * 6 * 3\\1 = 18k\\k = \frac{1}{18}

So the value of k is 1/18 which makes the equation

j = \frac{1}{18}gv\\ Putting\ g=8\ and\ v=11\\j = \frac{1}{18} * 8 * 11\\j = \frac{88}{18}\\ j =4.88

So, j=4.88 when g=8 and v=11

Keywords: Variation, Direct Variation

Learn more about variation at:

  • brainly.com/question/11258952
  • brainly.com/question/1284310

#LearnwithBrainly

8 0
3 years ago
A survey was given to 339 people asking whether people like dogs and/or cats.
lina2011 [118]

Answer:

80

Step-by-step explanation:

Think of it as a Venn diagram.  One circle is the people who like dogs, and one circle is the people who like cats.  The overlap is people who like both dogs and cats.

190 people in the survey said they like dogs.  That includes the people who like both dogs and cats.

141 people in the survey said they like cats.  That includes the people who like both dogs and cats.

If we simply add the two numbers together, we'll be counting the overlap twice.  So to find the total number of people who like dogs or cats, we have to subtract one overlap.

dogs or cats = 190 + 141 − x

Therefore:

190 + 141 − x + 88 = 339

419 − x = 339

x = 80

80 people said they liked both cats and dogs.

5 0
3 years ago
Write an equation in slope-Intercept form for the line with slope 2/5 and y- ntercept - 3 .
Trava [24]

Answer:

y = \frac{2}{5} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{2}{5} and c = - 3 , then

y = \frac{2}{5} x - 3 ← equation of line

7 0
3 years ago
Read 2 more answers
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