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bija089 [108]
4 years ago
11

!QUICK! Garrett needs 3 gallons of fruit juice to make punch.

Mathematics
2 answers:
noname [10]4 years ago
8 0
I say 1/6 Gal is your answer.
Sloan [31]4 years ago
3 0

Answer:

\frac{1}{6} gallon

Step-by-step explanation:

Quantity of fruit juice needed by Garrett = 3 gallons

Quantity of grape juice with Garrett = \frac{5}{6} gallon

Quantity of orange juice with Garrett = \frac{2}{3} gallon

We need to find quantity of juice he can add to the juice he already has to make exactly 3 gallons of juice.

Quantity of juice he can add to the juice he already has to make exactly 3 gallons of juice = 3-\frac{5}{6}-\frac{2}{3}

Here , LCM ( 3 , 6 ) = 6

So,

3-\frac{5}{6}-\frac{2}{3}\\=\frac{18-5-12}{6}

On solving terms in numerator , we get 18-5-12=1

Therefore ,

Quantity of juice he can add to the juice he already has to make exactly 3 gallons of juice = \frac{1}{6} gallon .

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Stels [109]
\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})

"Chocolate" has the marginal distribution given by the second column, with a total probability of P(\text{chocolate})=0.35. Similarly, "Adults" has the marginal distribution described by the third row, so that P(\text{adults})=0.60. Then

P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with P(\text{chocolate}\cap\text{adults})=0.21.

The probabilities match, so these events are indeed independent.

Parts (b) and (c) are checked similarly.

b. Yes;


P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14
P(\text{children}\cap\text{chocolate})=0.14

c. Yes;

P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26
P(\text{vanilla}\cap\text{children})=0.26
5 0
3 years ago
Gaby has a total of 36 coins in her piggy bank. If the only coins in the bank are nickels and quarters, and add up
IrinaK [193]

Answer:

21 quarters = 5.25

15 nickel. = .75

Step-by-step explanation:

21 + 15 = 36

5.25 + .75 = 6.00

5 0
3 years ago
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Gala2k [10]

Your answer is gonna be <u><em>B.</em></u>

Brainliest plz. 7/10 brainliest answers till i level up

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3 years ago
Find the measures of the angles of the triangle ABC if measure of angle A:measure of angle B:measure of angle C = 2:3:4.
Nezavi [6.7K]

Answer:

Angle A = 40

Angle B = 60

Angle C = 80

Step-by-step explanation:

The three angles of a triangle are in the ratio

2:3:4

Multiply by x

2x:3x:4x

The sum of the angles is 180 degrees

2x+3x+4x = 180

9x = 180

Divide by 9

9x/9 = 180/9

x = 20

The value of x is 20

A         B       C    

2*20:3*20:4*20

40       60    80

Angle A = 40

Angle B = 60

Angle C = 80

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Answer:

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