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3 years ago

PLEASE HELP A. 4.5 B. 7.5 C. None D. 3.4 E. 5.9

Mathematics

2 answers:

kvasek [131]3 years ago

7 0

i think your answer is 4.5 hope this helps

kondor19780726 [428]3 years ago

3 0

The answer to this one is 4.5

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2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac

Aleks04 [339]

Answer:

$P(disease/positivetest) = 0.36116$

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

$P(B) >0$

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

$P(I)=0.025$

$P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975$

$P(PT/I)=0.904\\P(PT/NI)=0.041$

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

$P(PT/I)=0.904$

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

$P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116$

8 0

3 years ago

Find the value of y. m<1 = 3y + 6

Rufina [12.5K]

Step-by-step explanation:

$m > 1 = 3y + 6\\ \frac{m > -1 - 6}{3} = \frac{3y}{3} \\ y = \frac{m > - 5}{3}$

7 0

3 years ago

Please help Quickly!!

e-lub [12.9K]

Answer:

Option D 3/16

Step-by-step explanation:

Carol is cross-country skiing.

With the help of the given table we have to calculate the rate of change.

If we draw a graph for distance traveled on y-axis and tins at x-axis we find two points, ( 2, 1/6) and (3, 17/48).

Then slope of the line connecting these points will be the rate of change.

Rate of change = Slope = $\frac{y-y'}{x-x'}$

= $\frac{\frac{17}{48}-\frac{1}{6}}{3-2}$

= $\frac{17-8}{48}$

= $\frac{9}{48}=\frac{3}{16}$

Option D 3/16 is the answer.

3 0

3 years ago

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How do i find the slope of a line that passes through a given point and is parallel or perpendicular to another given point?

elena-14-01-66 [18.8K]

There's no such thing as parallel or perpendicular "to a point". A problem like that
will always want the new line to be parallel or perpendicular to another line.

-- If the new line is parallel to the given line, then they have the same slope.

-- If the new line is perpendicular to the the given line, then the slope of the
new line is [ 1 / slope of the given line ].

In either case, you now have the slope of the new line and a point on it.
From there, you should have no trouble finding its equation.

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3 years ago

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Mindy and Troy combined ate 99 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had 1/4 of the total cake.

Allushta [10]

It doesn't give the entire question, Do they want to know how many pieces were in the total cake? If so, I think it would be 384. You subtract the 3 pieces that Mindy ate and that leaves 96 that Tony had which was supposed to be 1/4 of the cake. Dividing the cake into 4 sections of 96 and multiplying would give you 384.

If they want to know how many slices of cake were left after Tony ate the fourth (96 slices), it would be 288

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3 years ago