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3 years ago

Clare mixes

Mathematics

1 answer:

ZanzabumX [31]3 years ago

7 0

Answer:

1. 1 cup of concentrate would use 7.5 cups of water.

2. 10 cups of concentrate would use 75 cups of water.

Step-by-step explanation:

Because 1/3 cup of concentrate is mixed with 2 1/2 cups of water, to find how much water one cup of concentrate would use, you would have to multiply both 1/3 and 2 1/2 (2.5) by 3. Then, you get 1 cup of concentrate equals 7 1/2 (7.5).

To find the answer to the next question, simply multiply by 10.

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A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two

Ronch [10]

Answer:

.065

Step-by-step explanation:

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18

P(1st black) = Black/total = 5/18

You keep the marble

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17

P(2st black) = Black/total = 4/17

Multiply the probabilities together

P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065

4 0

3 years ago

g The probability that a university graduate will be offered no jobs within a month of graduation is estimated to be 5%. The pro

dexar [7]

Answer:

49% probability that a graduate is offered fewer than two jobs

Step-by-step explanation:

We have these following probabilities:

5% probabilities of not being offered a job

44% probability of receiving one job offer

28% probability of received two job offers.

23% probability of receiving three job offers.

Determine the following probabilities: A. P(A graduate is offered fewer than two jobs)

Zero or one

5 + 44 = 49%

49% probability that a graduate is offered fewer than two jobs

8 0

3 years ago

For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

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3 years ago

If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she

Lemur [1.5K]

Answer: $\dfrac{11}{12}$

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

$\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}$

Probability of non-occurrence i.e. she wins the first prize is

$\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}$

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3 years ago

Find the equation of the line below.

Kipish [7]

Y=1/2x is the equation of the line.

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3 years ago