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irakobra [83]
2 years ago
12

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers l

eft over.
Mathematics
2 answers:
bonufazy [111]2 years ago
7 0

Sample Response:  List the factors of each number. Then circle the common factors. Finally, identify the greatest of the common factors. The GCF of 54 and 42 is 6.


Basile [38]2 years ago
3 0
Work out the Greatest Common Factor for both numbers

54                                         421×54                                   1×422×27                                  2×213×18                                   3×146×9                                    6×7

The common factors are: 1, 2, 3 and 6
The greatest common factor is 6
There are 6 identical arrangements that can be made
 
There will be 9 roses and 7 tulips in each arrangement

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Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of
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Answer:

93.25% probability that they have taken this steroid

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Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that P(B) = 0.1

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that P(A|B) = 0.995

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Then

P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067

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93.25% probability that they have taken this steroid

4 0
2 years ago
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Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical​ store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

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A baby wriggled so much that weighing him at the clinic was a problem. So the doctor held the baby and stood on a scale. Then th
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X = <span>weight of the baby.
y = </span>weight of the doctor.
z = weight of the nurse.

x + y = 78 so y = 78 - x
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substitute y = 78 - x and z = 69 - x into x + y + z = 142

x + y + z = 142
x +78 - x + 69 - x = 142
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answer

<span>the weight of the baby was 5 kg</span>
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2 years ago
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