MATHEMATICS HIGH SCHOOL

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?0.4051
0.5010
0.4653
0.6632

Answers

Answer 1
Answer:

Answer:

C.  0.4653

Step-by-step explanation:

This a conditional probability problem where Bayes theorem should be applied.

Applying Bayes theorem,

P(\text{No heart attack}\ |\ \text{Correctly tested})=

\frac{P(\text{Correctly tested}\ |\ \text{No heart attack})\cdot P(\text{No heart attack})}{P(\text{Correctly tested})}

P(\text{Correctly\ tested}\ |\ \text{No\ heart\ attack})=67\%=0.67

P(\text{No\ heart\ attack})=1-P(\text{heart\ attack})=1-0.7=0.3

P(\text{Correctly\ tested})=[P(\text{No\ heart\ attack})* P(\text{Correctly\ tested})]+[P(\text{Heart\ attack})* (\text{Incorrectly\ tested})]

=[0.3* 0.67]+[0.7* 0.33]=0.432

Putting the values,

P(\text{No\ heart\ attack}\ |\ \text{Correctly\ tested})=(0.67* 0.3)/(0.432) =0.4653

There is a probability of 0.4653 or 46.53% chance that she will not have a heart attack even though the test predicts that she will.
Answer 2
Answer:

Answer:

C= .4653

Step-by-step explanation:

i just took the test and got it right

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A circle cuts the x-axis at (4,0) and (14,0), and cuts the y-axis at (0,6) and (0,8). Find it's equation
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In her first basketball game, Taneshia makes 8 out of 14 free throws. in her second basketball game taneshia makes 6 out of 10 free throws. In which game did she have a better free throw percentage?

Answers

Answer:

she did better in the second game

Step-by-step explanation:

first game:  8/14 = .571428571  =57%  made

second game  6/10 = .6 = 60 % made

she did better in the second game

A store buys an item for $50 and marks it up 100%. What is the price?

Answers

Answer

     = $100


Explanation

Profit =  selling price  -  buying price

percentage profit = profit/buying price × 100%

100% = profit /$50

Profit = 100% × $50

           = 100/100 × $50

             = 1 × $50

              = $50

Selling price = buying price + profit

                     = $50 + $50

                     = $100

$100 

100% would be doubling it.

Given that / and /, which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar?

Answers

Given that we assume that all the bases of the triangles are parallel.

We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.

Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.

Actually, the answer is ASA postulate!!!! I just took the county geometry quiz and got it correct

Find the LCM of 8,9, and 12

Answers

It's very simple, take a look.

8, 9, 12 | 2
4, 9,  6  | 2
2, 9, 3  |  2
1, 9, 3  | 3
1, 3, 1  | 3
1,  1, 1

2² * 3² *2 = 72


LCM(8,9,12) = 72
The LCM of 8, 9, and 12 is 72. That is the Lowest Common Multiple. 

What is 1.21 divided by 3cm

Answers

Answer:

0.40333 repeating

Step-by-step explanation:

if the 1.21 is also cm, then this is the answer

Answer:

0.40 (Assuming you're rounding to the tenths place.)

Step-by-step explanation:

What is the circumference of 59 inches

Answers

By circumference we can safely assume that the figure is a circle. Assumingthat the given is radius, you are given the radius of a circle of 59 inches. Youare asked to find the circumference of the figure. The equation for thecircumference of a circle is C=2*pi*r. 

C=2*pi*r
C  = 2*3.723*59 inches
C  = 370.71 inches 
The circumference of a circle is 370.71 inches.
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