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stich3 [128]
3 years ago
14

PLEASE HELP, URGENT!

Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer:

0.93

Step-by-step explanation:

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In a standard deck of playing cards, there is a total of 56 cards, 4 of which are jacks. What is the formula for the probability
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Answer:

the probability is  1/14 (7.14%)

Step-by-step explanation:

Since each card of the total of 56 equally likely to be chosen, then the probability is the ratio of the number of favourable outcomes divided by the total number of outcomes of the experiment. Thus the probability of getting a single Jack when there are 4 in 56 cards is

probability = number of favourable outcomes/ total number of outcomes = 4 Jacks / 56 different cards = 1/14 =0.0714 (7.14%)

thus the probability is  1/14 (7.14%)

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Figure L

Step-by-step explanation:

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3 years ago
During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the
mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

T = 0.005x^2 + 0.45x + 125

Suppose T = 141°F,

\implies 141 = 0.005x^2 + 0.45x + 125

\implies 0.005x^2 + 0.45x + 125 - 141 =0

\implies 0.005x^2 + 0.45x - 16=0

Since, a quadratic equation ax^2 + bx + c =0 has,

Real roots,

If Discriminant, D = b^2 - 4ac \geq 0

Imaginary roots,

If D < 0,

Since, 0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

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3 years ago
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