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bezimeni [28]
2 years ago
7

64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes. What is the experimental probability of rolling an even number

Mathematics
1 answer:
Bess [88]2 years ago
8 0

Answer:

Answer: The answer is (B) 48.5%.

Step-by-step explanation: Given that a number cube is rolled with the results that 64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes appears. We are to calculate the experimental probability of rolling an even number.

The number of ways in which an even number is rolled is given by

and the total number of ways is given by

Therefore, the required probability is given by

Thus, (B) is the correct answer.

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Plz Help???
GREYUIT [131]
1.
12 liters of 26% acid solution contain 26\% \times 12=0.26 \times 12=3.12 liters of acid.
x liters of 40% acid solution contain 40\%x=0.4x liters of acid.
The third solution is made from the two mixed solution so its volume is 12+x, and the volume of acid in it is 0.4x+3.12. Its concentration is 33% or 0.33.
The concentration of a solution is the volume of the solution divide by the volume of acid in it.

\frac{0.4x+3.12}{12+x}=0.33 \\ 0.4x+3.12=0.33(12+x) \\ 0.4x+3.12=3.96+0.33x \\
0.07x=0.84 \\
x=12

The answer is B.

2.
12 liters of 16% acid solution contain 16\% \times 12=0.16 \times 12=1.92 liters of acid.
x liters of 40% acid solution contain 40\%x=0.4x liters of acid.
The volume of the third solution is 12+x, and the volume of acid in it is 0.4x+1.92. Its concentration is 32% or 0.32.

\frac{0.4x+1.92}{12+x}=0.32 \\
0.4x+1.92=0.32(12+x) \\
0.4x+1.92=3.84+0.32x \\
0.08x=1.92 \\
x=24

The answer is B.

3.
16 liters of 18% acidsolution contain 18\% \times 16=0.18 \times 16=2.88 liters of acid.
x liters of 27% acid solution contain 27\%x=0.27x liters of acid.
The volume of the third solution is 16+x, and the volume of acid in it is 0.27x+2.88. Its concentration is 21% or 0.21.

\frac{0.27x+2.88}{16+x}=0.21 \\
0.27x+2.88=0.21(16+x) \\
0.27x+2.88=3.36+0.21x \\
0.06x=0.48 \\
x=8

The answer is A.

5 0
3 years ago
Justin spent half of his Christmas money on a pair of shoes to earn some money he worked at Bojangles and earn $32 if he ended t
Klio2033 [76]

Answer:

$148

Step-by-step explanation:

108×2=116 and 116+32=148.

5 0
3 years ago
The line passes through (-5,6), slope=3. Write the equation in point-slope form​
Nataly_w [17]

Answer:

y = 3x + 21

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  

4 0
3 years ago
I'LL MARK BRAINLIEST!!!!!!
quester [9]
I got 1.5 I used Siri and then calculated tried to see if items correct so I went on safari and found nothing so I this it would be either a or c

Goodluck
6 0
2 years ago
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear f
Luda [366]

I got the answer Antonio had a head start of 3 meters.

4 0
2 years ago
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