The probability of both of them being selected is 0.6, while the probability of at least one of them being picked is 0.95, and the probability of none of them being chosen is 0.05. Only one of them will be selected, with a probability of 0.4.
What is probability?Probability is the measure of how likely an event is to occur in a given situation. It is expressed as a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The mathematical study of random occurrences is known as probability theory. It is concerned with the investigation of random variables and the development of models and hypotheses to explain their behavior. Probability theory is used to anticipate the results of random occurrences like the roll of a dice or the flip of a coin. It may also be used to predict the likelihood of a certain event, such as the chance that a stock will rise in value or that a patient would respond to a specific therapy.
i) The probability that both of them will be selected is 0.6 (80% x 75%).
ii) The probability that at least one of them will be selected is 0.95 (80% + 75% - (80% x 75%)).
iii) The probability that none of them will be selected is 0.05 (1 - (80% + 75% - (80% x 75%))).
iv) The probability that only one of them will be selected is 0.4 (80% + 75% - (2 x (80% x 75%))).
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(Look at picture) ty btw :)!!!!! <3
Answer:
Step-by-step explanation:
6
A Sumer job pays $5 per hour
b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.
Answer:
Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Step-by-step explanation:
hourly pay: $5/hour
number of hours: 24 hours
total pay = hourly pay × number of hours
total pay = $5/hour × 24 hours
total pay = $120
MP3 player costs $100.
Total pay is $120.
Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
7
1 point
Shannon's brother throws a ball into the air while she records the time it takes to hit
the ground and its height. Her data is recorded in the chart below.
Time (seconds)
Height(feet)
1 2 3 4 5 6 7 8
4 11 16 19 20 19 16 11
Which model best represents the data in the chart?
A Logarithmic
B Exponential
C Linear
D Quadratic
O A
9
4
10
0
The correct option D Quadratic, model best portrays provided data in the chart.
Explain the term Quadratic function?f(x) = ax2 + bx + c, for which a, b, and c are integer and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.The relation for the height reached by the ball with time is given as:
Time (seconds): 1 2 3 4 5 6 7 8
Height(feet): 4 11 16 19 20 19 16 11
Plot the graph for the given values.
As it is seen from the graph that the line forms parabola.
Thus, the Quadratic model best portrays provided data in the chart.
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11 7/8 + 3 1/5 - = 15
In which quadrant does the point (-11 , -22) lie?
The quadrant in which the point (-11, -22) lies is the third (3rd) quadrant.
What is a quadrant?In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate in a graph.
What are types of quadrant?This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:
Quadrant IQuadrant IIQuadrant III.Quadrant IV.Generally speaking, the coordinates of the third (3rd) quadrant are all negative, which simply means that both the x-values and y-values are negative e.g (-11, -22).
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X1 -4, X2 -6
Y1 -4, Y2 4
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}} \implies \cfrac{4 +4}{-6 +4} \implies \cfrac{ 8 }{ -2 } \implies - 4[/tex]
Find an equation for the line that passes through the points (-6, -5) and (4, -3).
Answer:
Step-by-step explanation:
To find the equation of a line passing through two points, we can use the slope-point form:
y - y1 = m(x - x1)
where (x1, y1) is one of the points on the line, m is the slope of the line and can be calculated as
m = (y2 - y1) / (x2 - x1)
where (x2, y2) is the second point on the line.
Given the points (-6, -5) and (4, -3), we can substitute the values into the slope formula to find m:
m = (-3 - (-5)) / (4 - (-6)) = 2 / 10 = 1/5
Next, we can substitute the point (-6, -5) and the slope 1/5 into the slope-point form to find the equation of the line:
y - (-5) = 1/5 (x - (-6))
y + 5 = 1/5 x + 6
5y + 25 = x + 30
5y = x + 5
y = (x + 5) / 5
Thus, the equation of the line passing through the points (-6, -5) and (4, -3) is y = (x + 5) / 5.
Check Your Understanding- Question 4 of 4
Which of these is a situation in which a census is a reasonable option?
Attempt 1 of 2
A. A study of the migration of a species of honeybee
B. A study of a drug's side effects
C. A study of the durability of earthquake-proof building materials
D. A decision among six friends about toppings to get on a shared pizza
HINT
SUBMIT
The term refers to a thorough count, often known as a comprehensive enumeration.
What is meant by census ?
Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.
A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.
The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.
The correct answer is option C. A study of the durability of earthquake-proof building materials.
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If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = [tex](1/2)\x^{6} (1/2)\x^{2}[/tex] = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
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please help me with math i’ll give you brainlist
Answer: y = -1.6x + 4
Step-by-step explanation:
I used the y = mx + b method, m is your slope and b is your intercept.
Lmk if this answer was useful towards you!
17.60
2746
3. Jason is buying wings and hot dogs for a party. One package of wings costs $8. Hot dogs cost $5 per
pound. He must spend less than $40. Jason knows he will be buying at least 4 pounds of hot dogs.
Write a system of inequalities to model the situation.
Graph both inequalities and shade the intersection.
Identify 1 solution and justify your answer
a.
b.
C.
Jason is purchasing hot dogs and wings for a party. The price of one set of wings is $8. [tex]7 x+4 y \leq 40[/tex] is the equation system.
How do you shade a graph with two inequalities?x = pounds of wings, y = pounds of dogs that aren't
[tex]$\begin{array}{rl}7 x+4 y \leq 40 \Rightarrow 4 y & \leq-7 x+40 \\ x \geq 5 & y \leq-\frac{7}{4} x+10\end{array}$[/tex]
The inequality's sign will indicate which half-plane to shade, unless you are graphing a vertical line. Shade above the line if either the or > symbol is present. Shade below the line if the symbol "or" is used. When a linear inequality contains the symbols "less than" or "less than or equal to," you should shade below the boundary line. In a linear inequality, you will shade above the boundary line if the symbol is > (greater than) or (greater than or equal to). The approach used to resolve linear inequalities in two variables is the same as that used to resolve linear equations.
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IM BEGGING HELPPPPPPPPPPP
Answer: 20
Step-by-step explanation: 12 divided by 3 is 4 multiply the 2 by 4 12 + 8 = 20
Complete the statement about how you could solve the equation 2c−3=2(6−c)+ 7c .
Distribute and collect like terms on each side, , 1 of 3.
Select Choice
12 from each side, , 2 of 3.
Select Choice
2c from each side, then , 3 of 3.
Select Choice
each side by 3.
To solve the equation 2c - 3 = 2(6 - c) + 7c, option 1: Distribute and collect like terms on each side is done.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given equation is 2c−3=2(6−c)+ 7c.
To solve the equation first use the distributive property to multiply 2 by 6-c.
2c - 3 = 12 - 2c + 7c
Next, combine the like terms -2c and 7c to get 5c.
2c - 3 = 12 + 5c
Now, subtract 5c from both left-hand side and right-hand side.
2c - 3 - 5c = 12 - 5c
Next, combine the like terms 2c and -5c to get -3c.
- 3 - 3c = 12
Now, add 3 to both left-hand side and right-hand side.
- 3 - 3c + 3 = 12 + 3
Next, on right-hand side add 12 and 3 to get 15.
- 3c = 15
Now, divide both left-hand side and right-hand side by -3.
(-3c)/-3 = 15/-3
The result is obtained as -
c = -5
Therefore, the solution for the equation is c = -5.
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Please help me with the question
The change Δf is 0.462, value of the estimate is 0.4 and the approximation error is 0.062.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = 2x³ - 2x
x₀ = 1 and dx = 0.1
(a) f(x₀) = f(1) = 2 - 2 = 0
f(x₀ + dx) = f(1.1) = 2 (1.1)³ - (2 × 1.1) = 0.462
Δf = f(x₀ + dx) - f(x₀) = 0.462 - 0 = 0.462
(b) Value of the estimate is,
f'(x) = 6x² - 2
f'(x₀) = f'(1) = 6 - 2 = 4
df = f'(x₀) dx = 4 × 0.1 = 0.4
(c) Approximation error is,
| Δf - df | = | 0.462 - 0.4 | = 0.062
Hence the change, value of the estimate and the approximation error are 0.462, 0.4 and 0.062 respectively.
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Which statement best explains the paradox that occurs to Alexia at the end of the
passage?
A.Alexia realizes that the reward is not worth the cost.
B. Alexia discovers that the prize for being first is misleading.
C. Alexia learns that winning by cheating is not as satisfying as an honest victory.
D.Alexia believes that winning the competition is more important than anything
else.
A statement that best explains the paradox that occurs to Alexia at the end of the passage is she realizes that the reward is not worth the cost. The Option A is correct.
The Excerpt from the Passage of "Virtual Reality":“Hey, Sis,” Eric answered after two rings, shouting over loud music in the background. “Where’ve you been? Why didn’t you return my calls?”
“Sorry, Eric,” Alexia bit her lip guiltily. “I’ve been really busy.”
“Well, I’m sorry too,” Eric replied, “because my old band just asked me to sit in on their weekend shows and I won’t be able to see you at all now.”
Alexia’s heart plummeted. “Oh, Eric, can’t I come see you?”
“No, we’re traveling around the state,” Eric said. “I won’t be back home from school again until spring. I hope whatever was keeping you so busy was worth it. I miss you, Lex.”
As Alexia said goodbye, she noticed that her likes had topped 5,000. She had won, but somehow, she didn’t feel victorious at all.
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It has not been shown that _____. The triangles ____ congruent because ______.
A triangle only has 3 sides and 3 angles. If we know 4 distinct side measures or 4 distinct angle measures, then we know the two triangles cannot be congruent.
what is congruent triangles?
SSS: When all three sides are equal to each other on both triangles, the triangle is congruent. AAS: If two angles and a non-included (you can think of it as outside) side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.The term “congruent” means exactly equal shape and size. This shape and size should remain equal, even when we flip, turn, or rotate the shapes.The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.To learn more about triangle refers to:
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. The difference between two natural
numbers is greater than 6 and less than
11. The greater of the two numbers is 14.
How many possible values for the
unknown number are there?
Answer:
y = unknown number
3 < y < 8
Step-by-step explanation:
Let x and y be the two natural numbers
x - y > 6 and x - y < 11
6 < x - y < 11
x is still positive after y amount is taken away from it. Since y is part of x, x is the greater value.
Hence, x=14:
6 < 14 - y < 11 ==> solve for y, the missing value
-8 < -y < -3 ==> subtract 14 on all sides
8 > y > 3 ==> Since each side is being divided by -1, switch the inequality
signs since the numbers are being divided by a negative number
3 < y < 8 ==> rearrange the inequality
x/a+b=c. solve for x
At what rate is the coffee maker making coffee?
__ mL per second
At what rate is the juice maker making juice?
__ mL per second
Therefore ,When Sebastian needs to buy coffee If he buys from the warehouse, this should cost $240 even by end of the year of annual year.
How much is an annual fee?An entry fee is a yet another charge that must be paid each year when you apply for a particular credit card. Special benefits usually cover these expenditures, that ranged from $95 to $500. These benefits include the possibility of earning air miles, tickets, or cash back.
Here,
Given :
If he continues to buy his coffee from of the nearby shop, this should cost $300 by the conclusion of the year.
If he buys from the warehouse, this should cost $240 even by end of the year.
Therefore ,When Sebastian needs to buy coffee, the best financial advise is to buy it at a warehouse shop since he will save money at the end of every year.
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Vincent plays basketball everyday after school for 4/5 of an hour. Today, he was only able to play basketball for 32 minutes. Of the usual amount of time Vincent plays basketball everyday, what fraction was he able to play today?
The fraction of time Vincent was able to play basketball today is 2/3 of the usual amount of time Vincent plays basketball everyday.
How to determine fraction?Fraction of time Vincent plays basketball everyday = 4/5 of an hour
1 hour = 60 minutes
Time Vincent plays basketball everyday = 4/5 of 60
= 4/5 × 60
= 48 minutes
Vincent played basketball today for 32 minutes
Fraction of time Vincent plays basketball everyday = x of 38 minutes
32 = x × 48
32 = 48x
x = 32/48
x = 4/6
x = 2/3
Therefore, Vincent was able to play basketball for 2/3 of 48 minutes today.
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Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you. Don’t understand how to work it out. Try to give me a good and simple step by of how to do this. Thanks .
Answer:just add them all together!!
Step-by-step explanation:
Answer: Solving the first one. Feel free to ask questions!
Step-by-step explanation:
Area - number of units inside a given shape (Your using this one)
Perimeter - number of units to cover the outside
Step 1: Determine the needed formulas. In this case, there are 2 rectangles, so we will use Width X Height to solve
Step 2: Break the shape into simple shapes to solve
Step 3: Solve
Solving purple rectangle: 8 is the width, and the height is 2
8 x 2 = 16
Solving pink rectangle: 4 is the height, and 5 is the width
4 x 5 = 20
Step 4: Once all areas are found, add them together
16 + 20 = 36 36 is the total Area
_______________________________________________________
Problem 2
Again there are 2 rectangles, so we will use Width X Height to solve
Step 2: Break the shape apart
Step 3: Solve
Solving blue rectangle: 2 is the width, 3 is the height
2 x 3 = 6
Solving green rectangle: 7 is the width, 3 is the height
7 x 3 = 21
Step 4: Add
6 + 21 = 27 27 is the total Area
* Remember, Every shape has a given formula to find the area*
Here are some that you will need for the worksheet:
-The formula for finding the area of a rectangle is length x width.
-The formula for finding the area of a square is side x side.
-The formula for finding the area of a triangle is base x height 1/2.
-The formula for finding the area of a circle is π x radius x radius.
Write as many expressions as you can for this picture.
Therefore , the solution of the given problem of expression comes out to be area of diagram of given by expression = 12x².
What or who is expression?Mathematicians must be able to multiply, division, add, and remove. An expression would look like this when put together: Data, a mathematical operator, and an equation The elements of a statement of fact, like additions, subtractions, multiplications, divisions, etc., comprise values, variables, and functions. It is feasible to compare and contrast phrases and expressions.
Here,
Given :
A diagram with 13 square
Let us consider it to be x unit each side of square .
So ,
If we want to find the area of this diagram,
We can write an expression as follows:
=> 12*x²
Thus ,
Area of diagram of given by expression = 12x²
Therefore , the solution of the given problem of expression comes out to be area of diagram of given by expression = 12x².
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Malinda took a bag of apples on her trip to mars. The apples weighed 5 pounds on earth. How much will the bag of apples weigh on mats?
The bag of apples weighs 1.89 pounds on Mars.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Malinda took a bag of apples on her trip to Mars.
The apples weighed 5 pounds on earth.
The formula is Weight on Mars,
= (Weight on Earth/9.81 m/s²) x 3.711 m/s²
= (5 / 9.81) x 3.711
= 1.89 pounds.
Therefore, the apple weighs 1.89 pounds on Mars.
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NEED HELP ASAP PLS AND THX Picture is attached
Kayla is 3/4 of the way from New York to Boston. She began with 4/5 of a full tank of gas. She has 1/5` of a tank of gas left. Does she have enough gas to reach Boston?
Yes, Kayla has enough gas to reach her destination which is Boston.
What is ratios?Ratios can be defined as the expression that shows the relationship between two variables that are of the same unit.
The present location of Kayla = 3/4 of the way to new York.
The remaining distance = 1/4
The quantity of fuel that took her to that present location = 4/5 of full tanks
Therefore if 3/4 distance = 4/5 fuel
1/4 distance = 1/5 fuel
It can be concluded that Kayla has enough gas to reach her destination which is Boston.
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Select the correct domain for the set {(-2,5), (-4, 1)(2, 12)}
The correct domain for the set, D = { -2, -4, 2}.
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
We have the set = {(-2,5), (-4, 1)(2, 12)}
We know that the domain is usually the input value
as, the the x values in the set is also considered as the domain.
Now, from the set {(-2,5), (-4, 1)(2, 12)} the domain value is
D = { -2, -4, 2}
Hence, the domain is D = { -2, -4, 2}.
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look at the screenshot x
Answer:
31.01
Step-by-step explanation:
A= πr^2= π · 3.142 ≈31.01432
Let set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}.
Which set represents A ∩ B?
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8}
{2, 4, 6, 8}
The intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.
Option (D) is correct.
What is the intersection of two sets?
The intersection of two sets, A and B, is the set of elements that are common to both sets. It is often represented by A ∩ B.
In this case, Set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}. The set that represents A ∩ B is {2, 4, 6, 8} because these are the elements that are common to both sets A and B.
So the correct answer is {2, 4, 6, 8}
Hence, the intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.
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Winnie the witch just got a new spell book- Quick and Easy Spells for the Overworked Witch. It contains 3 different spells that take 20 minutes each to complete, 5 spells that take 9 minutes each, and 3 spells that take 4 minutes each. She performed 8 spells for 95 minutes. Which spells did she do? (She didn't repeat any spells.)
Answer:
The three spells that take 20 minutes to complete and the five spells that take 9 minutes each
If f(1) = 8 and f(n) = F(n - 1)-4 then find the value of f(4)
Answer:
Step-by-step explanation:
f(2)=f(1)-4=8-4=4;
f(3)=f(2)-4=0
f(4)=f(3)-4=-4;