1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LiRa [457]
3 years ago
12

A survey on healthy choices was given to gym members at Work It Out. The results showed that 90% of its members drank protein sh

akes. Of the members who drank protein shakes, 30% took weight-loss medication whereas only 10% of members who did NOT drink protein shakes took weight-loss medication. What is the probability that a gym member does NOT take weight-loss medication?
Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer:

Probability that a gym member does not take weight-loss medication = 0.63

Step-by-step explanation:

Let E be the event of choosing a gym member who drank protein shakes and W be the event of choosing a gym member who took weight loss medication.

Probability that a gym member drank protein shakes = P(E) = 0.9

Probability that a gym member does not drink protein shakes = P(not E) = 0.1

E and W are independent events.

By using Bayes Theorem, P(E and W) = P(E)*P(W)

Probability that a gym member drank protein shakes and took weight loss medication = P(E and W) = 0.3*0.9 = 0.27

Probability that a gym member took weight-loss medication = P(W) = 0.1 + 0.27 = 0.37

(10% of members who did not drink protein shakes took weight-loss medication)

Therefore, Probability that a gym member does not take weight loss medication = P(not W) = 1 - 0.37 = 0.63

You might be interested in
I need help it for a dcp
Artyom0805 [142]

Answer:

what grade level is this

5 0
3 years ago
Which of the following is NOT equivalent to the nxn matrix A being invertible? A. The homogeneous system associated to A has a u
storchak [24]

Answer:

Option C

Step-by-step explanation:

  • For the matrix A of order n\times n to be invertible, its determinant must not be equal to zero, |A| \neq0, A^{- 1}  exists if- AC = CA = I, where I is identity matrix.
  1. The homogeneous equation with coefficient matrix A has a unique solution:

       AB = 0, B = A^{- 1}.0 = 0

      Thus, B = (0, 0, 0......., 0) is a unique solution

     2. The non - homogeneous equation system with coefficient matrix A has  a unique solution:

For an equation- AY = D

Y = A^{- 1}.D is a unique solution

     3. Every non homogeneous equation with coefficient matrix A is not consistent as:

For an equation- AY = D, has a solution.l Thus coefficient matrix is inconsistent whereas augmented matrix is.

      4. Rank of matrix A = n, Thus the column space of A is R^{n}

      5. Since, column space of A = R^{n}, thus x→xA is one-to-one

       

5 0
3 years ago
Given the function defined in the table below, find the average rate of
AURORKA [14]

Answer:

Average rate of change = \frac{2}{5}

Step-by-step explanation:

Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

We have to find the average rate of change in the interval 20 ≤ x ≤ 65

From the table attached,

f(65) = 32

f(20) = 14

Average rate of change = \frac{32-14}{65-20}

                                        = \frac{18}{45}

                                        = \frac{2}{5}

Therefore, average rate of change in the given interval is \frac{2}{5} .

7 0
3 years ago
 What is the radius of a cone with diameter​ d? An ice cream cone is filled exactly level with the top of the cone. The cone has
alekssr [168]

Answer:

radius is 2.5

volume of ice cream is 58.9 cm cubed

Step-by-step explanation:

to calculate the volume of a cone   v=pi x r^2 x (h/3)

v=volume

r=radius

h=height

^ means powers and roots

depth in cones is the same as height

v=3.14 x 2.5^2 x (9/3)

order of operations

v=3.14 x 2.5^2 x 3

v=3.14 x 6.25 x 3

v=19.625 x 3

v=58.875

round

v=58.9

5 0
3 years ago
tiana's car travel 111 miles on 3/8 of a tank of gas. how far will she be able to go on a full tank of gas?
kari74 [83]
Turn the 3/8 itto a mixed number and dived it by 111 
3 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose a horse is galloping at 19 mph toward a clown, and the clown is racing toward the horse on an ATV which can sustain a sp
    8·1 answer
  • A pound of fertilizer cover 45 square feet of lawn Vivian bulgakov's lawn measures 8666.7 square feet how much fertilizer to the
    10·1 answer
  • What is -32.01 divided by -3.3?
    5·2 answers
  • Julian jogs 2 kilometers east, 4 kilometers north, and then 7 kilometers west
    8·1 answer
  • The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillat
    8·1 answer
  • What is the product?<br> 5(2/9/11 3/-1/5 4/-7/-3)<br> ANSWER: A)
    6·1 answer
  • Use the roster method to write each of the given sets. (Enter EMPTY for the empty set.)
    9·1 answer
  • Slope = 0, y -- int = 1<br> Write the slope-intercep form of the equation of the line
    13·1 answer
  • Please help don't understand
    9·1 answer
  • Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!