Complete Question
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice
a What is the probability that Christine fails the course
b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability
Answer:
a
[tex]P(F) = 0.264[/tex]
b
[tex]P(T | F ) = 0.23636 [/tex]
Step-by-step explanation:
From the question we are told that
The probability that Christine will fail the course if she does not have a tutor is [tex]P(F| T') = 0.42[/tex]
The probability that Christine will fail the course if she has a tutor is [tex]P(F| T) = 0.12[/tex]
The probability that she will find a tutor is [tex]P(T) = 0.52[/tex]
Generally the probability that she will not find a tutor is
[tex]P(T') = 1 - 0.52[/tex]
=> [tex]P(T') = 0.48[/tex]
Generally the probability of failing the course is
[tex]P(F) = P(F \ n \ T) + P(F \ n \ T')[/tex]
=> [tex]P(F) = P(F| T) * P(T) + P(A | T') * P(T')[/tex]
=> [tex]P(F) = 0.12 * 0.52 + 0.42* 0.48[/tex]
=> [tex]P(F) = 0.264[/tex]
Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as
[tex]P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}[/tex]
=> [tex]P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}[/tex]
=> [tex]P(T | F ) = 0.23636 [/tex]
GIVING BRAINLIEST i hate math :(
Answer:
i think somebody invented math just so he could torture people
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1. The square of a number equals nine times that number. Find the number.
2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number.
Answer:
Step-by-step explanation:
The answer of 1 question is 9 because square of 9 is 81 and 9 x 9 times is 81
simplify and expand (X+3)(x-3)(3x+3)
Answer:
3x^3 + 3x^2 - 27x - 27
Step-by-step explanation:
===============================================
Work Shown:
(x+3)(x-3)(3x+3)
(x^2-9)(3x+3) .... difference of squares rule
y(3x+3) .... let y = x^2-9
y*3x + y*3 .... distribute
3x( y ) + 3( y )
3x( x^2 - 9 ) + 3(x^2 - 9) .... plug in y = x^2-9
3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) .... distribute
3x^3 - 27x + 3x^2 - 27
3x^3 + 3x^2 - 27x - 27
How can you tell if there will be more than one solution for the geometric means?
Answer: because there are different methods to it and different solutions.
Step-by-step explanation:
Jason kicked a soccer ball that was lying on the ground. It was in the air for 3 seconds before it hit the ground again. While the soccer ball was in the air it reached a maximum height of 30 ft. The height of the ball while in the air is the function of time.
Answer:
a) The domain is 0 < t < 3
The range is 0 < s < 30
b) The x-intercept are the times at the start and return of the ball to the ground
The y-intercept, is the starting height of the ball = 0
c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola, they represent the turning point of the function
d) The rate of change of the function is therefore given by the derivative of function which is;
ds/dt = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t which is the velocity of the ball at time t
∴ ds/dt = 14.714 - 9.81×t
Which is the velocity of the ball at time t
Step-by-step explanation:
The duration the soccer ball was in the air = 3 s
The maximum height reached by the soccer ball = 30 ft.
Considering the vertical motion of the ball, we have;
v = u - gt
s = u·t + 1/2·g·t²
v² = u² - 2×g×s
Where;
v = The final velocity of the ball = 0 m/s
u = The initial velocity of the ball
g = The acceleration due to gravity = 9.81 m/s²
s = The height the ball reaches = 30 ft
Given that the time to maximum height = Half the total time it was in the air, we have;
v = u - gt
v = 0 at maximum height
u = gt = 9.81 × 3/2 = 14.715 m/s
The vertical velocity = 14.715 m/s
Therefore, we have;
s ≈ 14.715×t - 1/2×9.81×t²
a) The domain is 0 < t < 3
The range is 0 < s < 30
b) The x and y-intercept are;
x-intercept, s = 0, gives;
0 ≈ 14.715×t - 1/2×9.81×t²
From which we have, t = 0 or t = 3, which are the times at the start and return of the ball to the ground
The x-intercept are the times at the start and return of the ball to the ground
The y-intercept, t = 0, gives;
s = 14.715×t - 1/2×9.81×t² = 14.715×0 - 1/2×9.81×0 = 0
Therefore, at the time t = 0 the ball is lying on the ground, height = 0
∴ The y-intercept, is the starting height of the ball = 0
c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola
They represent the turning point of the function
d) The rate of change of the function is therefore given by the derivative of function which is;
ds/dt = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t
∴ ds/dt = 14.714 - 9.81×t
Which is the velocity of the ball at time t.
In the United States 13 out of every 20 cans are recycled what percentage of cans are recycled
Answer:
65%
Step-by-step explanation:
13/20 are recycled
We want a percent, which is out of 100
Multiply the top and bottom by 5
13*5 = 65
20*5 =100
65/100 = 65%
Answer:
65%
Step-by-step explanation:
I took the test
Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per weekend, use front-end estimation to find out about how much their business will earn in 5 weeks. A. $800 B. $1000 C. $1200 D. $1350
Answer:
$1,000
Step-by-step explanation:
Given that:
Charge per car = $8.50
Averahe car washed per weekend = 22
Using front end estimation, how much will business earn in 5 weeks ;
Hence amount earned per weekend :
22 * $8.50 = $187
Using front end estimation :
$187 - - -> $200
$200 * number of weeks
($200 * 5) = $1,000
Answer:
$1,000
Step-by-step explanation:
I know because I took the test.
Takira is an appointment-setter for a sales organization. She makes $12 an hour plus a $3 fee for each appointment that is scheduled. This week. Takira worked 40 hours and
scheduled 31 appointments. What are ber total earnings with fees this week?
Enter the correct answer in the box
The total earnings with fees this week will be $571.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Takira is an arrangement setter for a deals association. She makes $12 an hour in addition to a $3 charge for every arrangement that is planned.
Let 'x' be the number of hours and 'y' be the number of appointments. Then the equation is given as,
Total earnings = $12x + $3y
This week. Takira worked 40 hours and scheduled 31 appointments. Then the total earnings are calculated as,
Total earnings = $12(40) + $3(31)
Total earnings = $480 + $91
Total earnings = $571
The total earnings with fees this week will be $571.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
CLEAR CHECK
Answer:
31.3 minutes were spent reading
Step-by-step explanation:
If it takes 1.2 minutes to read each page for science and you read 9.75 pages of science, then you must multiply these two numbers together
9.75 pages × 1.2 mins = 11.7
If it takes 0.8 of a minute to read each page of the play and you read 24.5 pages of a play, then you also multiplying these two numbers
24.5 pages × 0.8 mins = 19.6
If we must find out the time spent reading, we must add these two numbers together
11.7 + 19.6 = 31.3
Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6
Answer:
Z = - 2, Y = 0, X = 0
Step-by-step explanation:
2X – Y + Z = – 2
6X + 3Y – 4Z = 8
– 3X + 2Y +3Z = – 6
isolate "X" in the first equation
2X - Y + Z = - 2 => isolate "2X"
2X = - 2 - Z + Y => divide either side by 2
X = - 1 - Z/2 + Y/2
substitute this value of X in the second two equations (applying the substitution method here)
6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,
6Y - 7Z - 6 = 8
- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,
Y + 9Z + 6/2 = - 6
isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)
6Y - 7Z - 6 = 8 => isolate 6Y
6Y = 14 + 7Z => divide either side by 6
Y = 7Z + 14/6 => substitute in second equation
7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z
61Z + 50/12 = - 6, Z = - 2
substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"
Y = (7(- 2) + 14)/6 = 0 / 6
= 0
X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0
= - 1 + 1 + 0 = 0
Evaluate. 5/8−(14)2= ________
Answer:
exact form -219/8
Decimal form - -27.375
Mixed number form - -27 3/8
Write the equation in terms of x.
2x + a =p
Math question please answer
Please help me I am so confused 50 points
Answer:
y = 1
General Formulas and Concepts:
Horizontal lines always have a slope m of 0.
y = 0x + b
y = b
Step-by-step explanation:
Step 1: Define
Slope m = 0
y-int (0, 1)
Step 2: Write equation
y = 1
Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $14. After 4 months, she has paid a total of $69. Use a linear equation in point-slope form to find the signup fee. Solve the problem using an equation in point-slope form.
What is the sign up fee
Answer:
The signup fee is $13
Step-by-step explanation:
we know that
The equation in point slope form is equal to
where
m is the slope or unit rate of the linear equation
(x1,y1) is a ordered pair of the line
Let
x -----> the number of months
y -----> the total cost of a gym membership
In this problem we have
The slope of unit rate is equal to
The ordered pair is
substitute
----> equation in point slope form
Convert to slope intercept form
---> equation in slope intercept form
The y-intercept is the signup fee (value of y when the value of x is equal to zero)
therefore
The signup fee is $13
Step-by-step explanation:mark me brainliest pls
solve for -6=2(p+10)+-8
Answer:
-9
Step-by-step explanation:
hope this helpshchxjxjx
Answer:x=-9
Step-by-step explanation:
Find x and y. Give reasons to justify your solution.
Answer:
x = 36
y = 22
Step-by-step explanation:
Let's solve for x
<EOG is a right angle due to the marking. Since that's the case, m<EOG = 90.
<EOF + <FOG = <EOG
Now let's substitute the values in.
54 + x = 90
x = 36
Let's solve for y
<AOB is 180 because it's a line.
<BOD + <COB = 180 because of supplementary angles
<BOD + 156 = 180
<BOD = 24
Let's create the equation now.
<AOE + <EOF + <FOG + <GOD + <BOD = <AOB
Now let's substitute the values in.
y + 54 + x + 2y + 24 = 180
3y + x + 78 = 180
Now let's substitute 36 for x.
4y + 36 + 78 = 180
3y + 114 = 180
3y = 66
y = 22
Hope this helped! If not, please let me know! <3
One local radio station plays a commercial every 6 minutes. Another local radio station plays a commercial every 9 minutes. Both radio stations just played commercials. How many minutes will pass before both local radio stations play commercials again at the same time?
Answer:
18 mins
Step-by-step explanation:
Help me ASAP jdksjdkksod
if 4x plus 7 equals 18, what is the value of 12x plus 21
Answer: 54
--------------------
Find negative square root of 16 . (4 points) −4 4 ±4 −8
Answer:
-4
Step-by-step explanation:
what is the unit rate of (0,0) and (12, 16)
A) 0.25 cm/s
B) 0.33 cm/s
C) 0.75 cm/s
D) 1.33 cm/s
Which is a rational number?
-15/4
-7/9
4 with a rational sign?
pi
Answer:
All are rational numbers I guess
Step-by-step explanation:
NoTE : I'm not sure
Answer:
For the first one its 7/9 ig
write an equation for each quadratic function whose graph is shown
Answer:
9. y=5[tex]x^{2}[/tex]
10. y=2/3[tex]x^{2}[/tex]
11. y=1/10[tex]x^{2}[/tex]
12. y=-1/4[tex]x^{2}[/tex]
Step-by-step explanation:
9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).
y=a(x-0)^2 +0
Substitute the x and y values for the given point on the graph, (-1, 5)
5=a(-1-0)^2+0
Solve for a.
5=a(-1)^2
5=a
Substitute a in vertex form and solve for general form (ax^2 +bx+c)
y=5[tex]x^{2}[/tex]
Use this method to find the rest of the equations.
Is 2.01 less than 2.2
Answer:
Yes, 2.01< 2.20
Step-by-step explanation:
2.3a + 0.8a
how do i solve this
Answer:
2.3a + 0.8a =
2.3
+ 0.8
________
3.1
________
So therefore, 2.3a + 0.8a = 3.1a
Solve for the variable in the following proportion
m/1/3 = 10/1 2/3
50
2
5
3/5
please help?
Answer:
the answer is 5
Step-by-step explanation:
Wage per hour $11.13.
3 hours per day of work.
Takes 44.93 (45) hours of work to get $500.
For your birthday, you received $50 in gifts from family and friends. Write an equation and solve, letting h represent hours, to find how many hours you will have to work to save the $500 with the $50 in gifts based on your hourly wage. How many weeks is that?
Answer:
It will be about fourteen days or two weeks to save that much while only working 3 hours each day for every day of the week
Step-by-step explanation:
evaluate the expression x+9, if x=8
Answer:
17
Step-by-step explanation:
x+9
if x=8 you would substitute x for 8 making the equation
8+9 = 17
therefore, the answer is 17.
Find the measure of DCH.
===================================================
Work Shown:
Angles DCH and PCF are congruent because they are vertical angles.
angle DCH = angle PCF
5h+94 = 7h+80
94-80 = 7h-5h
14 = 2h
2h = 14
h = 14/2
h = 7
angle DCH = 5h+94
angle DCH = 5*7+94
angle DCH = 35+94
angle DCH = 129 degrees
angle PCF = 7h+80
angle PCF = 7*7+80
angle PCF = 49+80
angle PCF = 129
We get the same result for both angles, which confirms the correct h value.