Answer:
[tex]P(ABC) = 0.110592[/tex]
[tex]P(ABC^c) = 0.119808[/tex]
[tex]P(AB^cC) = 0.119808[/tex]
[tex]P(A^cBC) = 0.119808[/tex]
[tex]P(AB^cC^c) = 0.129792[/tex]
[tex]P(A^cBC^c) = 0.129792[/tex]
[tex]P(A^cB^cC) = 0.129792[/tex]
[tex]P(A^cB^cC^c) = 0.140608[/tex]
Step-by-step explanation:
Given
[tex]P(A) = P(B) = P(C) = 48\%[/tex]
Convert the probability to decimal
[tex]P(A) = P(B) = P(C) = 0.48[/tex]
Solving (a): P(ABC)
This is calculated as:
[tex]P(ABC) = P(A) * P(B) * P(C)[/tex]
This gives:
[tex]P(ABC) = 0.48*0.48*0.48[/tex]
[tex]P(ABC) = 0.110592[/tex]
Solving (b): [tex]P(ABC^c)[/tex]
This is calculated as:
[tex]P(ABC^c) = P(A) * P(B) * P(C^c)[/tex]
In probability:
[tex]P(C^c) = 1 - P(C)[/tex]
So, we have:
[tex]P(ABC^c) = P(A) * P(B) * (1 - P(C))[/tex]
[tex]P(ABC^c) = 0.48 * 0.48 * (1 - 0.48)[/tex]
[tex]P(ABC^c) = 0.48 * 0.48 * 0.52[/tex]
[tex]P(ABC^c) = 0.119808[/tex]
Solving (c): [tex]P(AB^cC)[/tex]
This is calculated as:
[tex]P(AB^cC) = P(A) * P(B^c) * P(C)[/tex]
[tex]P(AB^cC) = P(A) * [1 - P(B)] * P(C)[/tex]
[tex]P(AB^cC) = 0.48 * (1 - 0.48)* 0.48[/tex]
[tex]P(AB^cC) = 0.48 * 0.52* 0.48[/tex]
[tex]P(AB^cC) = 0.119808[/tex]
Solving (d): [tex]P(A^cBC)[/tex]
This is calculated as:
[tex]P(A^cBC) = P(A^c) * P(B) * P(C)[/tex]
[tex]P(A^cBC) = [1-P(A)] *P(B) * P(C)[/tex]
[tex]P(A^cBC) = (1 - 0.48)* 0.48 * 0.48[/tex]
[tex]P(A^cBC) = 0.52* 0.48 * 0.48[/tex]
[tex]P(A^cBC) = 0.119808[/tex]
Solving (e): [tex]P(AB^cC^c)[/tex]
This is calculated as:
[tex]P(AB^cC^c) = P(A) * P(B^c) * P(C^c)[/tex]
[tex]P(AB^cC^c) = P(A) * [1-P(B)] * [1-P(C)][/tex]
[tex]P(AB^cC^c) = 0.48 * [1-0.48] * [1-0.48][/tex]
[tex]P(AB^cC^c) = 0.48 * 0.52*0.52[/tex]
[tex]P(AB^cC^c) = 0.129792[/tex]
Solving (f): [tex]P(A^cBC^c)[/tex]
This is calculated as:
[tex]P(A^cBC^c) = P(A^c) * P(B) * P(C^c)[/tex]
[tex]P(A^cBC^c) = [1-P(A)] * P(B) * [1-P(C)][/tex]
[tex]P(A^cBC^c) = [1-0.48] * 0.48 * [1-0.48][/tex]
[tex]P(A^cBC^c) = 0.52 * 0.48 * 0.52[/tex]
[tex]P(A^cBC^c) = 0.129792[/tex]
Solving (g): [tex]P(A^cB^cC)[/tex]
This is calculated as:
[tex]P(A^cB^cC) = P(A^c) * P(B^c) * P(C)[/tex]
[tex]P(A^cB^cC) = [1-P(A)] * [1-P(B)] * P(C)[/tex]
[tex]P(A^cB^cC) = [1-0.48] * [1-0.48] * 0.48[/tex]
[tex]P(A^cB^cC) = 0.52 * 0.52 * 0.48[/tex]
[tex]P(A^cB^cC) = 0.129792[/tex]
Solving (h): [tex]P(A^cB^cC^c)[/tex]
This is calculated as:
[tex]P(A^cB^cC^c) = P(A^c) * P(B^c) * P(C^c)[/tex]
[tex]P(A^cB^cC^c) = [1-P(A)] * [1-P(B)] * [1-P(C)][/tex]
[tex]P(A^cB^cC^c) = [1-0.48] * [1-0.48] * [1-0.48][/tex]
[tex]P(A^cB^cC^c) = 0.52*0.52*0.52[/tex]
[tex]P(A^cB^cC^c) = 0.140608[/tex]
Please help on this question!
Answer:
d
Step-by-step explanation:
(-2)⋅(-4.5)=?
What is "?"
Answer:
(-2).(-4.5) = 40
Step-by-step explanation:
(-2).(-4.5)
= -2. (-20)
= 40
The value of (-2) x (-4.5) using integer is 9.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
We have multiply (-2) x (-4.5)
As, we know from integers
(-) x (-) = (+)
So, the value after multiplication is positive.
Thus, (-2) x (-4.5)
= 2 x 4.5
= 9
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ5
Tail winds push the plane along much faster.
A plane traveling at the rate of 300 miles per
hour and having a tail wind of 40 miles per
hour actually makes a speed of 340 miles per
hour.
Ilow far is it from Newfoundland to Iceland,
if the trip was made in 4 hours and the plane
had an average speed of 500 miles per hour
with a tail wind of 30 miles per hour?
Answer:
2120 miles
Step-by-step explanation:
500 + 30 = 530 (Total miles per hour)
530 x 4 = 2120 (Average speed for 4 hours)
A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
[tex]600, 900, 1350[/tex]
Step-by-step explanation:
Given
[tex]a = 400[/tex] -- initial subscribers
[tex]b = 1.5[/tex] -- growth factor
Required
Determine the number of subscribers in the next three months
To do this, we make use of:
[tex]y = ab^x[/tex]
In this case:
x is the number of months
y is the number of subscribers
So:
when x = 1;
[tex]y = ab^x[/tex]
[tex]y = 400 * 1.5^1[/tex]
[tex]y = 400 * 1.5[/tex]
[tex]y = 600[/tex]
when x = 2
[tex]y = 400 * 1.5^2[/tex]
[tex]y = 400 * 2.25[/tex]
[tex]y = 900[/tex]
when x= 3
[tex]y = 400 * 1.5^3[/tex]
[tex]y = 400 * 3.375[/tex]
[tex]y = 1350[/tex]
So, the next three number of subscribers is:
[tex]600, 900, 1350[/tex]
Supriya is writing a recursive function for the arithmetic sequence:
-11, -6, -1, 4,
She comes up with:
t(0)=-11
t(n)=t(n-1)+5
What domain should Supriya use for t so it generates the sequence?
A n≥0, is greater than or equal to, 0 where n is an integer
B n≥0, is greater than or equal to, 0 where n is any number
C n≥1, is greater than or equal to, 1 where n is an integer
D n≥1, is greater than or equal to, 1 where n is any number
PLZ i need this urgently
Answer:
A. n ≥ 0, is greater than or equal to, 0 where n is an integerStep-by-step explanation:
Given AP with the sequence:
-11, -6, -1, 4, ...and the recursive formula:
t(0)= -11 t(n) = t(n - 1) + 5Supriya used n = 0 as the start point, the following points are 1, 2, 3, ... and so on
Correct answer choice is A
Answer:
A) n > 0 where n is an integer
Step-by-step explanation:
Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !
Answer:
It should be -3
Hope it helped i tried to help you ASAP
Step-by-step explanation:
Sonya makes a pattern of values for x and a pattern of values for y. Which
ordered pair continues the patterns and has an x-value of 6?
Answer: (6, 9)
Step-by-step explanation:
We have the pairs:
x y
0 0
2 3
4 6
These can be written as points (0, 0), (2, 3) and (4, 6)
This seems to be a linear relationship:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In the cases where the point (0, 0) belongs to the graph, we have a proportional relationship, which is written as:
y = k*x
In this case we have that point, then this is a proportional relationship.
Now we could just replace the values of one of the points (not the (0,0) point) in the equation in order to find the value of x.
If we use the point (2, 3) we get:
y = 3
x = 2
then:
3 = k*2
3/2 = k
Then the relationship is:
y = (3/2)*x
Now we want to know the ordered pair such that x = 6, then we just eed to replace x by 6 in the above equation:
y = (3/2)*6 = 9
Then we have x = 6 and y = 9
The correct option is (6, 9)
The table below shows the amount of money earned by two different workers over 5 consecutive days. Which equation best represents Fallon's earnings in terms of Donald's earnings? (How do you go from x to y?)
A. x = 7y
B. x = y + 7
C. y = x + 7
D. y = 7x
Answer:
Answer:C. y = x + 7
Step-by-step explanation:
everything on the left is 7 less then on the right
a hospital bill is estimated to be $480. It ends up actually costing the patient $524.50. What is the percent of error in the bill?
Answer:
8.48%
Step-by-step explanation:
Given that,
The estimated bill = $480
Actual costing of the bill = $524.50
We need to find the percent error in the bill. It can be calculated as follows :
[tex]\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%[/tex]
So, the percentage error in the bill is 8.48%.
Evaluate the expression: 3a2 + 2b2 when a = -3 and b = 6
A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5′2". Is this a sample mean or a population mean, and which symbol would be used to denote it?
Answer:
Sample mean
Symbol: [tex]\frac{}{x}[/tex]
Step-by-step explanation:
Given
[tex]Population = 30[/tex]
[tex]Sample = 10[/tex]
[tex]Mean\ of\ the\ selected\ 10 = 5'2"[/tex]
Solving (a): Is it sample mean or population mean
From the question, we understand that 10 were selected from a total of 30.
And the mean of the selected 10 is 5'2"
The selected 10 is referred to as sample and the mean of the 10 is the sample mean
Solving (b): Symbol to use.
The symbol for sample mean is: [tex]\frac{}{x}[/tex]
Answer:
Step-by-step explanation:
its sample mean x just took the test.
50 POINTS I WILL MARK BRAINLIEST PLZ HELP ITS TIMED
Clara’s teacher asked her to draw a polygon with vertices (–2, 4), (5, 4), (3, –3), and (–2, 0) and to identify the polygon. Clara drew the polygon below and identified it as a quadrilateral.
On a coordinate plane, a polygon is formed by points (negative 2, 4), (5, 4), (3, negative 3), and (negative 2, 0).
Which explains whether Clara is correct?
Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure with the wrong coordinates, but she correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure correctly, but she should have identified the figure as a pentagon.
Clara drew the figure with the wrong coordinates, and she should have identified the figure as a pentagon.
Answer:
The given polygon has 4 vertices and, 4 non-parallel and non equal sides. So the given polygon is a quadrilateral.
Step-by-step explanation:
The given vertices of are (–2, 4), (5, 4), (3, –3), and (–2, 0).
i found this on web
Answer:
The answer is A. Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Step-by-step explanation:
X+y=15-2x+5y=-2 solve your systems of solutions and record your answer as an ordered pair
Answer:
x = 11 and y = 4
Step-by-step explanation:
Given equations are :
x+y=15 ...(1)
-2x+5y=-2 ...(2)
We need to solve the systems of equations.
Multiply equation (1) by 2.
2x+2y=30 ...(3)
Adding equation (2) and (3).
-2x+5y+2x+2y = -2+30
7y = 28
y = 4
Put the value of y in equation (1).
x+4=15
x = 11
So, the solution of the given equations are x = 11 and y = 4.
Factorise 12x^2 + 8x^3
Answer:
The answer is 4x^2 (3+ 2x)
Step-by-step explanation:
Factor 4 x ^2 out of 12 x ^2 + 8 x ^3 .
hoped this helped!
brainly, please?
PLEASE HELP!!!
10 in.
A semicircular
window has a
radius of 10 in.
What is the area of
the window?
Answer:
area of window=1/2(πr²)=πr²/2=10²/2 π=50πinch²=50×3.14=157inch²
Which of the following is the solution to the equation − 3 = 11? Group of answer choices
8
13
14
33
Answer:
Step-by-step explanation:
-3 = 11
= 11 + 3 = 14
14 is the correct answer
There is an urn containing 10 marbles numbered 1 to 10. We sample 4 marbles without replacement. What is the probability that our sample contains the marbles labeled 1 and 2
Answer:
Step-by-step explanation:
The easiest way to do this is to assume you don't get a 1 or 2. You make your first draw from 8.
8 * 7 * 6 * 5 = 1680
The total number of ways of drawing 4 marbles is
10*9 * 8 * 7 = 5040
P(`(1 or 2) ) = 1680 / 5040 = 0.33333
The probability of getting a 1 or 2 in 4 throws = 1 - 0.3333 = 0.66667
what is the result of subtracting the secound equation from the first -4x-2y=-2 x-2y=9
Answer:
When we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.
Therefore, the required result is:
x = 11/5
Step-by-step explanation:
Given
The first equation
[tex]-4x-2y=-2[/tex]
The second equation
[tex]x-2y=9[/tex]
Let us subtract the second equation from the first equation
[tex]-4x-2y=-2[/tex]
[tex]-[/tex]
[tex]\:\underline{x-2y=9}[/tex]
[tex]-4x - 2y - (x - 2y) = -2 - 9[/tex]
[tex]-4x -2y -x + 2y = -2-9[/tex]
[tex]-5x = -11[/tex]
divide both sides by -5
[tex]\frac{-5x}{-5}=\frac{-11}{-5}[/tex]
Simplify
[tex]x=\frac{11}{5}[/tex]
Thus, when we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.
Therefore, the required result is:
x = 11/5
What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4
Step-by-step explanation:
4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8
42 divided 8
5,25
cmiiw!
what is the answer to (x-1)+(2x+3) ?
Answer:
3x + 2
Step-by-step explanation:
Answer:
3x+2
Step-by-step explanation:
Get rid of the parentheses:
(x−1)+(2x+3)
x−1+2x+3
Add up the numbers:
x−1+2x+3
x+2+2x
Combine like terms:
x+2+2x
3x+2
The ratio of tin to copper in an alloy is 6:9. How many kg of copper are there if the alloy has 32 kg of tin? Make a ratio table to solve.
Step-by-step explanation:
the three rows above you may draw as the ratio table
HELP! WILL GIVE BRANLIEST!
10 in each do 10 times 3 then subtract total
Help!! I’ll give u Brainly ASAP!
Answer:
-2, 4
Step-by-step explanation:
basically just move the dot the same distance on the other side
What is the diameter of a circle if its circumference is 12 feet?
Answer:
3.82165605096 Ft.Explanation:
Circumference ÷ π = Diameter12 ÷ 3.14 = Diameter
12 ÷ 3.14 = 3.821656050963.82165605096 Ft. Is The Diameter
A pure sample of an unknown molecule has a mass of 0.03551
kg and contains 0.2000 moles.
What is the molecular weight of the substance?
g/mol
а
1.76 g/mol
b. 177.6 g/mol
с
17.755 g/mol
d 177.55 kg/mol
Answer:
177.6 g/mol
Step-by-step explanation:
The molecular weight of the substance is 177.55 g/mol.
Option B is the correct answer.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
The molecular weight (MW) of the substance can be calculated by dividing the mass of the sample by the number of moles:
MW = mass/moles
MW = 0.03551 kg / 0.2000 moles
MW = 0.17755 kg/mol
However,
The answer is given in grams per mole, so we need to convert the result to g/mol.
So,
1 kg = 1000 g
MW = 0.17755 x 1000 g/mol
MW = 177.55 g/mol
Therefore,
The molecular weight of the substance is 177.55 g/mol.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ2
Please answer quickly 14 points for it :)
Answer:
0.65, 2.05, 2.56, 5.06, 5.62
Answer: 0.65, 2.05, 2.56, 5.06, 5.62.
A parabola intersects the x-axis at x=−4 and x=8.
What is the equation for the axis of symmetry?
A. x = - 4 B. x = 0 C. x = 2 D. x = 6
Answer:
C. x=2
Step-by-step explanation:
The axis of symmetry divides the parabola into two equal parts. FRom point x=-4 to x=8, the difference is 12 units and the centre is6 units on each side. Using a number line, the axis of symmetry is at point x=2
Answer:
C. x=2
Step-by-step explanation:
(x+4)(x-8) = x²-4x-32 = (x-2)² - 36
vertex: (2,-36)
axis of symmetry: x = 2
Bethany is working her way through school. She works two part-time jobs for a total of 30 hours a week. Job A pays $5.90 per hour, and Job B pays $7.20 per hour. How many hours did she work at each job the week that she made $193.90.
Answer:
13 hours at Job B, and 17 hours at Job A.
Step-by-step explanation:
13×7.20= 93.60
17×5.90=100.30
100.30+93.60= 193.90
Jordan ran around a circular track with a diameter of 70 m. How far did Jordan run?
Answer:
Try your best! You can do it! I know you can! :) But sorry I can't help.
Step-by-step explanation:
what divided by 1/3 equals 6/7
Answer:
7/18
Step-by-step explanation:
Answer:
[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Let x represent the unknown number.
x ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{6}{7}[/tex]
To solve, we must multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{6}{7}[/tex] .
[tex]\frac{1}{3}[/tex] * [tex]\frac{6}{7}[/tex] = [tex]\frac{2}{7}[/tex]
So, x = [tex]\frac{2}{7}[/tex]
Therefore, [tex]\frac{2}{7}[/tex] divided by [tex]\frac{1}{3}[/tex] equals [tex]\frac{6}{7}[/tex].
I would appreciate brainliest, but if not that's ok!