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kobusy [5.1K]
3 years ago
14

Yvette is conducting two experiments. She is choosing two marbles from a bag that contains 1 pink, 4 purple, 3 blue and 2 white

marbles.
In the first experiment she does not replace the first marble.
In the second experiment she replaces the first marble.

If Yvette chooses two marbles that are purple, which of the following statements is correct?

A: Yvette's independent probability is greater than her dependent probability.
B: Yvette's dependent probability is greater than her independent probability.
C: Yvette's independent and dependent probabilities are equal.
D: Yvette's independent and dependent probabilities together equal 25%.
Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

A

Step-by-step explanation:

(pwease give brainliest :)

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6.966

Step-by-step explanation:

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x = 28

Step-by-step explanation:

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3 years ago
Anyone know the answer to this?
kiruha [24]

Answer:

42

Step-by-step explanation:

Angle ABD = Angle CBD + Angle ABC

You know ABD is 70, CBD and ABC are in terms of x

70 = 5x + 13 + 3x + 33

70 - 13 - 33 = 8x

24 = 8x

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Replacing x in Angle ABC:

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6 0
3 years ago
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new
Anit [1.1K]

Answer:

predictive value of a positive test = 18.18%

predictive value of a negative test = 94.03%

Step-by-step explanation:

Sensitivity = 60% = 0.6

Specificity = 70% = 0.7

Let True Positive = TP

True Negative = TN

False Negative = FN

Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN

Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN  = 7/3 FP

Prevalence = 10% = 0.1

Three hundred people are screened, T_{total} = 300

Total number of people having the disease, T_{disease} = ?

Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 =  \frac{T_{disease} }{300 }\\T_{disease} = 30

T_{disease} = TP + FN\\30 = TP + FN

But TP = 1.5 FN

30 = 1.5 FN + FN

30 = 2.5 FN

FN = 30/2.5

FN = 12

TP = 1.5 FN = 1.5 * 12

TP = 18

FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81

81 + TN = 270

TN = 189

To calculate the Predictive value of positive test (PPT)

PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%

To calculate the Predictive value of negative test (PNT)

PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%

7 0
3 years ago
Find the x-coordinate of A", where A(1, 1) under the
djyliett [7]

Answer:

I think it's 5,1

Step-by-step explanation:

counter-wise of 1,1 is -1,1 and translating it 5 to the right makes it -1+6, 1 = 5,1

8 0
2 years ago
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