Answer:
P(no steroid user / positive reading on test) = 0.3309
Step-by-step explanation:
Computation:
Bayes' Theorem:
P(A / B) = P(A and B) / P(B)
P(no steroid user / positive reading on test) = P(no steroid user and positive) / P(positive)
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
P(no steroid user / positive reading on test) = 0.3309
The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Calculation of the probability:Since A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users.
So, here the probability should be
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
= 0.3309
Hence, The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Learn more about probability here: https://brainly.com/question/24442276
find the standard deviation
Answer:
d. 7.3
Step-by-step explanation:
To get the standard deviation of a population of data, first take the sum of all the values, and divide it by the count to get the mean (average).
75 [1] + 90 [2] + 75 [3] + 80 [4] + 90 [5] + 80 [6] + 100 [7] + 85 [8] + 80 [9] + 85 [10] = 840.
Then divide by the count which is 10.
840/10 = 84 [This is the mean of the data.]
Then subtract every point of data from the mean and square it:
(75-84)^2 + (90-84)^2 + (75-84)^2 + (80-84)^2 + (90-84)^2 + (80-84)^2 + (100-84)^2 + (85-84)^2 + (80-84)^2 + (85-84)^2 = 81 + 36 + 81 + 16 + 36 + 16 + 256 + 1 + 16 + 1 = 540.
Then to get the variance, divide this all by the count.
540/10 = 54 [This is the variance of the data.]
Then all you have to do to get the standard deviation is take the square root of the variance.
√54 = 3√6 ≈ 7.3 [This is the standard deviation of the data.]
what is the answer of x for this?
Angle x and angle BOC are supplementary. We know that Supplementary angles add up to 180 degrees
180 = x + 156
Subtract 156 from both sides.
24 = x
I need help!! Select all that apply
Answer: #1 . #2 #4
Step-by-step explanation:
cuz i know
Multiple-Step Problem
McKenna has 34 stuffed animals, Kenley has twice as many as McKenna. How many stuffed animals do the the girls have in all?
Answer:
102
Step-by-step explanation:
You multiply 34 and 2 which gives you 68. Then you add 34 and 68 which gives you 102.
a backyard has an area of 72 square feet. of the following choices, which is the smallest possible perimeter of the backyard?
help I rly need help this is the problem I'm stuck one......
The table shows the average monthly minimum temperature of several US cities decide whether each statement about the temperature is TRUE or FALSE
CITY AND STATE. AVERAGE MIN TEMP
Fairbanks,AK. -16.9
Fargo,ND. 0.1
Duluth,MN. 1.5
Grand Forks,ND. -3.1
#1.the temperature of Fairbanks,AK is higher than the average temperature of Grand Forks,ND ..........is it true or false?
#2.the average temperature of Grand Forks,ND is farther from Zero than the average temperature of Duluth,MN..........is it true or False?
#3.teh average temperature of Fargo,ND is LOWER than teh average temperature of Grand Forks,ND..........is it true or false?
How tall would the building be
Answer:
18
Step-by-step explanation:
1. Create the ratio 12:9
The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.
2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)
3. Add 9 to 9. (18)
We now have 21:18.
1. Write an algebraic expression for the sum of three coins and c coins.
A. C+3
B. C/3
C. 3c
D. C-3
2. Use mental math to solve the equation.
Z/-12 = -5
A. 7
B. -60
C. -17
D. 60
3.Estimate the solution of the equation x-8.1= 5.3 to the nearest whole number.
A. About 13
B. About 14
C. About 4
D. About 3
4. Solve the equation
14 = t-44
A. -30
B. -58
C. 30
D. 58
-3 = j + 50
A. 80
B. 20
C. -1500
D. -80
2.8x = -9.24
A. 12.04
B. -0.3030
C. -3.3
D. -12.04
5.8 = z/2.2
A. 127.6
B. 0.37
C. 3.7
D. 12.76
Answer:
1 Is A
2 is B
3 is A
4a is D
4b is -53 but that's not an answer choice
4c is C
4d is D
Miranda baked 15 cookies with 3 scoops of flour. With 6 scoops of flour, how many cookies
can Miranda bake? Solve using unit rates.
Answer:
Miranda can bake 30 cookies with 6 scoops of flour.
Step-by-step explanation:
The rate is 5 cookies for every scoop of flour. to figure this out we need to divide 15 by three, to get 5, so the rate ends up being 5:1
Next, to find out the number of cookies, we need to multiply 5 by 6 to get 30. Therefore, Miranda can bake 30 cookies.
What are inverse functions?
If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.
Hope this helps.
What is the slope of the line that passes through points (-3,5) and (11,5)
Answer:
slope = -3/14
Step-by-step explanation:
y1 - y2 / x1 - x2
They gave you one value, two total coordinates
5-5 = 1
-3 - 11
-14
1/-14
y=1/-14 + b
11= 1/-14(-3) + b
11 = -3/14 + b
17 + 14
b = 15 3/14
A teacher has 25 students in a class. Each student has to pay $12.50 for a workbook to use in class. During the
first week of school, 7 students paid for their workbook. The remaining students paid for their workbook during the
second week of school. How much money did the teacher collect during the second week of school, what is the number problem
Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2)
Answer:
y=2x+1
Step-by-step explanation:
change -2x to 2x
your thinking
2. A shipping box should weigh 1.0 pound. If
there is a 10% error on the weight, what is the
range of acceptable weight?
Answer:
.9 pounds to 1.1 pounds
Step-by-step explanation:
10% of 1.0 is .1, so it allows for a .1 addition or subtraction to the weight of the box
Answer:
the answer is 0.9-1.0
Step-by-step explanation:
the answer is that because my teacher gave me the answer
Please someone help what’s to answer to f(3)=2 + g(5)=-17
Answer:
5 g - 2.
Step-by-step explanation:77217, Solve for g, 19*23=17g, 19⋅23=17g 19 ⋅ 23 = 17 g ... 77235, Solve for g, g^-1(7)=3, g−1(7)=3 g - 1 ( 7 ) = 3 ... 77244, Solve for g, (g-2)/(g+10)=(g-4)/(g+5), g−2g+10=g−4g+5 g - 2 g + 10 = g - 4 g + 5 ... 77266, Solve for g, (7g-21)/3-(2g-7)/4+1=5g-2, 7g−213−2g−74+1=5g−2 7 g - 21 3 - 2 g - 7 4 + 1 = 5 g - 2.
What is the equation of this line?
y=1/2x - 3
y=-1/2x-3
y= -2x - 3
y= 2x - 3
What is the answer for number 4
Answer:
x=-13
Step-by-step explanation:
All you have to do is divide 8 by both sides because you want to get x by itself.
The water level of a lake fell by 1 1/2
inches
during a 1 2/3
-week-long dry spell. Find the
average rate at which the water level changed
every week.
Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
A bag contains 3 red marbles, 8 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Answer:
0.043
Step-by-step explanation:
find the two angle measures from the diagram 3x+10 3x-28 there's 3 answer's 71,71 109 ,109 109,71 last question brainiest u will get
Answer:
109 and 71Step-by-step explanation:
3x + 10 + 3x - 28 = 180
6x = 180 - 10 + 28
x = 198/6
x = 33
substitute the value of x = 33 back into the equation to solve for each angle
= 3x + 10
= 3(33) + 10
= 109
= 3x - 28
= 3(33) - 28
= 71
Find the line that is perpendicular to line n that passes through point (2, –3).
If the slope of the perpendicular line is -2/5, what is the y-intercept of the perpendicular line?
A. b = -19/5
B. b = -11/5
C. b =4/5
D. b = 2
The answer is B. (b = -11/5)
Suppose there is a 3.1 temperature drop for every thousand feet that an airplane climbs
into the sky. If the temperature on the ground is 60.1, what will the temperature be
when the plane reaches an altitude of 11,000 feet?
Answer:
34.1 degrees
Step-by-step explanation:
given that the temperature drops 3.1 degrees for every thousand feet of elevation.
for an altitude of 11,000 feet (i.e 11 x 1000 feet), the temperature (compared to ground level) would drop,
= 3.1 deg / 1000-foot x 11,000 feet
= 34.1 degrees
7. A group of 140 tourists are going on a tour. The tour guide rents
15 vans. Each van holds 9 tourists.
Part A
Write a division problem that can be used to find the number of
vans needed to carry the tourists. Then solve.
Answer:
16
Step-by-step explanation:
140 divided by 9 = 15.5
you need 16 vans to hold 140 tourists
What is the value of the expression shown below?
(2/3)²+5×2-4
Answer:
6 4/9
Step-by-step explanation:
Sorry if it’s a little messy.
Maths is hard but we can do this!
Davion’s crew can hang 12 sheets of drywall in 15 minutes. At this rate, how many sheets can they hang in 1 hour? (15 minutes # 1/4 hour
Answer:
48 sheets
Step-by-step explanation:
15*4=60m=1hr
So 12*4=48 sheets in an hour
Answer please! I will give out brainlest!
Whattttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt is y=3x-3
Answer:
-9
Step-by-step explanation:
a person can read 24 pages of a book in 1/3 of an hour what is the persons reading rate in pages per hour
Answer:
72.73 pages in one hour
or 72.73/hr
Find the value of MN if AB=18 cm, BC=14.4 cm, and LM=24 cm ABCD~LMNO
Answer:
14.4
Step-by-step explanation:
ABCD~LMNO
look, M and N are in the places of B and C
Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.
Answer and Step-by-step explanation:
SOLUTION:
Given function:
h (x, y, z) = ln (x2 + y2 – 1) + y +6z, p0(1, 1, 0)
Derivatives of the function:
∂h / ∂x = (1 / x2 + y2 -1). (2x)
= 2x / x2 + y2 -1
∂h/∂y = (1 / x2 + y2 – 1) (2y + 1)
= (2y / x2 + y2 -1) + 1
∂h / ∂z = 6
Now compute the partial derivatives:
∂h (1, 1, 0) / ∂x = 2(1) / 1 +1 -1
= 2
∂h(1, 1, 0) / ∂y =( 2(1) / 1 +1 -1) + 1
= 3
∂h (1, 1, 0) / ∂z = 6
Δh (1,1,0) = ( 2, 3, 6)
The definition of gradient is:
Δf (x, y, z) = (∂f / ∂x , ∂f / ∂y)
Put the coordinate values to arrive at solution:
Umax = Δh (1,1,0) / | Δh (1,1,0) |
= (2, 3, 6) / |2, 3, 6|
= (2, 3, 6) / √(22+33+62)
= (2, 3, 6) / √49
= (2, 3, 6) / 7
= (2/7 , 3/7, 6/7)
Umin = - U max = ( -2/7, -3/7, -6/7)
Compute direction by finding unit vector:
Du h max = Δh (1,1,0) . u max
= (2, 3, 6) . (2/7, 3/7, 6/7)
= 2(2/7) + 3(3/7) + 6(6/7)
= 4/7 + 9/7 +36/ 7
= 49 / 7
= 7
Du h min = -Du h max
= -7