Answer:
$2.20
Step-by-step explanation:
If the beads cost $1.50 for each necklace, then we have to do $1.50 X 5 = $7.50
Then, $18.50 - $7.50 = $11
Then $11/ 5 = $2.2
what is 3 and 1/6 as an improper fraction
Answer:
Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer
a.20
b.25
c.15
d.1
help me
Michael charges a flat rate of $25 plus $20 per hour, x, to service air conditioners. The total cost Michael charges is f(x). [3 points]
A) What does the independent and the dependent variables represent?
Independent __________________________________
Dependent ____________________________________
B) Write a function rule in function notation for the total cost of his services, for x hours.
Function Rule _____________________________
Show work and answer throughly
Part (A)
Answers:
Independent Variable = x = number of hours
Dependent Variable = f(x) = total cost in dollars
---------------------------------
Explanation:
The independent variable is always x. When dealing with time, the time value is often the independent variable as time does its own thing. It marches on without any influence or external factors to change it.
On the other hand, the total cost is affected by time. The more time goes on, the higher the total cost will be. We say the total cost is dependent on the time. The dependent variable is always y, which can be replaced with f(x). In short, y = f(x).
===========================================================
Part (B)
Answer:
f(x) = 20x + 25
----------------------------------
Explanation:
The flat rate of $25 represents the initial cost. This is the cost if x = 0 hours of work is done. So this is the cost to get in the door, so to speak. You can think of this as the parts cost (from "parts and labor").
On top of that initial cost is the cost of $20 per hour. This can be thought of as the labor cost. If a job takes 1 hour to do, then we add on $20 to the flat rate of $25. If it takes 2 hours, then we add on 2*20 = 40 dollars. And so on. For x hours, we add on 20x dollars. Whatever x is, we multiply by 20.
So overall we have a flat rate of $25 and a variable rate of 20x dollars giving a total cost of f(x) = 20x+25
As a check, plugging x = 0 should lead to f(x) = 25
Plugging x = 1 should lead to f(x) = 20+25 = 45
And so on.
Which exponential equation is equivalent to the logarithmic equation below? 3 = ln x
Using the following property
\(e^{\ln a}=a\)we can rewrite our expression by exponentiating both sides:
\(\begin{gathered} 3=\ln x \\ e^3=e^{\ln x} \\ e^3=x \\ x=e^3 \end{gathered}\)the answer is option A.
what is the probability that in a random sample of adults, more than o not own a credit card?
However, you can plug in the values into the formula in step 4 to find the probability.
To find the probability that in a random sample of adults, more than 0 do not own a credit card, follow these steps:
1. Determine the probability of a single adult not owning a credit card (P(no credit card)).
2. Calculate the complementary probability, which is the probability that an adult does own a credit card (P(credit card) = 1 - P(no credit card)).
3. For a random sample of n adults, determine the probability that all n adults own a credit card. This is given by (P(credit card))^n.
4. Finally, to find the probability that more than 0 adults in the sample do not own a credit card, calculate the complementary probability: 1 - (P(credit card))^n.
Without specific values for the probability of not owning a credit card and the sample size, I cannot provide a numerical answer. However, you can plug in the values into the formula in step 4 to find the probability.
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what is 1m + 3/4 this too hard
Answer:
m = - 3 / 4
Step-by-step explanation:
1m + 3/4 = 0
m = - 3 / 4
hope this helps
Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.
Answer:
x = 274 91/107
Step-by-step explanation:
This is called a "two-step linear equation" because it is solved in 2 steps.
Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.
2.14x -12.18 +12.18 = 576 +12.18
2.14x = 588.18
__
Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.
2.14x(1/2.14) = 588.18(1/2.14)
x = 274.850467... = 274 91/107 . . . the decimal fraction repeats
The solution to the equation is x = 274 91/107.
Answer:
x = 274 91/107
Step-by-step explanation:
Step-by-step explanation:
This is called a "two-step linear equation" because it is solved in 2 steps.
Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.
2.14x -12.18 +12.18 = 576 +12.18
2.14x = 588.18
__
Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.
2.14x(1/2.14) = 588.18(1/2.14)
x = 274.850467... = 274 91/107 . . . the decimal fraction repeats
The solution to the equation is x = 274 91/107.
The maximum acceleration attained on the interval 0≤t≤3 by the particle whose velocity is given by v(t) = t3 -3t2 +12t +4 is? a.9
b.12
c.14
d.21
e.40
For the velocity function v(t) = t³ - 3t² + 12t + 4, with interval 0 ≤ t ≤ 3, the maximum acceleration is option D: 21 m/s².
What is velocity?
The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.
The velocity function is v(t) = t³ - 3t² + 12t + 4.
The interval is given as - [0,3]
Maximize the function to obtain the value of t.
v'(t) = a(t) = 3t² - 6t + 12
Maximize it again -
a'(t) = 6t - 6 = 0
6t = 0 + 6
t = 6/6
t = 1
Now there are three critical points for t = {0,1,3}
1 and 3 are endpoints of the interval [0,3].
To get the maximum acceleration, plug in the values of t in the equation .
First substitute the value t = 0 -
a(0) = 3t² - 6t + 12
a(0) = 3(0)² - 6(0) + 12
a(0) = 12
Now substitute the value t = 1 -
a(1) = 3t² - 6t + 12
a(1) = 3(1)² - 6(1) + 12
a(1) = 3 - 6 + 12
a(1) = 15 - 6
a(1) = 9
Now substitute the value t = 3 -
a(3) = 3t² - 6t + 12
a(3) = 3(3)² - 6(3) + 12
a(3) = 27 - 18 + 12
a(3) = 39 - 18
a(3) = 21
So, the maximum acceleration is 21 m/s² when t =3.
Therefore, the maximum acceleration is 21 m/s².
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Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
one-half
one-third
3
2
The constant of proportionality for the ratio of cubs to female bears is 3.
The constant of proportionality is typically used when we are comparing something with another thing.
In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:
= 3/1
= 3
In conclusion, the correct option is 3.
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Elizabeth lives in san francisco and works in mountain view. In the morning, she has 3 33 transportation options (take a bus, a cab, or a train) to work, and in the evening she has the same 3 33 choices for her trip home. If elizabeth randomly chooses her ride in the morning and in the evening, what is the probability that she'll use a cab exactly one time?.
The probability that she will choose to use a cab exactly one time is 4/9.
It has been given that In the morning she has 3 transportation choices. And in the evening the same 3 choices.
i) bus
ii) cab
iii) train
Since each choice have an equal chance of being chosen,
The probability of Choosing a bus will be 1/3
The probability of Choosing a cab will be 1/3
The probability of Choosing a train will be 1/3
Now, the Probability of Not Choosing the cab will be the sum of the probabilities of choosing a bus and train i.e, 2/3
Now there will be two possibilities-Either She chooses a cab in the morning and something else in the evening Or She chooses a cab in the evening and something else in the morning.
Therefore, the probability of choosing a cab exactly one time =
( Probability of cab in morning x Probability of no cab in the evening) + (Probability of no cab in morning x Probability of cab in evening)
Probability of choosing a cab exactly once
= 1/3 x 2/3 + 2/3 x 1/3
= 4/9
Therefore, the probability that she will choose to use a cab exactly one time is 4/9.
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What inverse
operation do
we use to get
the variable
term alone?
Answer:
Subtraction
Step-by-step explanation:
First, use inverse operations (subtraction) to get the term that includes a variable, by itself on one side of the equal sign.
What is the domain in interval notation?
Answer: Interval notation. When using interval notation, domain and range are written as intervals of values. For f(x) = x 2, the domain in interval notation is: D: (-∞, ∞) D indicates that you are talking about the domain, and (-∞, ∞), read as negative infinity to positive infinity, is another way of saying that the domain is "all real numbers." The range of f(x) = x 2 in interval notation is: R: [0, ∞) R indicates that you are talking about the range.
Step-by-step explanation:
The measure of angle PQR is 72°. What is the measure of its complement?
Answer:
18°
Step-by-step explanation:
Complementary angles always add up to 90°.
Hence, the complementary angle of angle PQR
= 90°-72°
= 18°
how did u.n. resolution 1373 (discussed on pg. 231) further enhance the president’s ""imperial"" powers under president george w. bush?
The U.N. Resolution 1373 further enhanced the President's "imperial" powers under President George W. Bush by providing him with the authority to take necessary actions to protect American national security.
Additionally, it permitted the use of force to deter terrorism and included measures to prevent terrorist financing and money laundering. Resolution 1373 reinforced the Presidential powers in various ways. Firstly, it authorized the President to utilize all appropriate military power to prevent and respond to acts of international terrorism. It allowed the President to seize and freeze assets that are believed to belong to terrorist groups, and it required states to stop providing sanctuary for terrorists and dismantle terrorist networks. Additionally, it permitted the President to take necessary measures to ensure that terrorists were not allowed to enter or transit their territories. Finally, Resolution 1373 obliged all states to cooperate fully in the struggle against terrorism by sharing information about terrorist activities with other states and exchanging financial and travel information.
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What is the roots of 2x² 5x 2 0?
The roots of the quadratic equation 2x² - 5x - 2 = 0 are (5 + √41)/4 and (5 - √41)/4.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation.
We are given the quadratic equation as;
2x² - 5x - 2 = 0
By using the quadratic formula,
x = [-b ± √b² - 4ac]/2a
Here, a = 2, b = -5 and c = -2
b² - 4ac = (-5)² - 4(2)(-2)
= 25 + 16
= 41
So, x = [-(-5) ± √41]/ 2(2)
= (5 ± √41)/4
Therefore, the roots are (5 + √41)/4 and (5 - √41)/4.
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Show that the formula for the surface area of a sphere with radius r is 4πr2
.
The surface area of a sphere with radius r is 4πr².
To show that the formula for the surface area of a sphere with radius r is 4πr²,
we can use the concept of integration in calculus.
Consider a sphere with radius r.
We can approximate the surface area of the sphere by dividing it into small surface elements, each having an area that can be approximated as a portion of a flat surface area.
Let's denote the radius of a small element as δr.
Now, the surface area of the sphere can be approximated by summing up the areas of all these small elements.
Mathematically, we can write:
Approximate surface area of the sphere = Sum of the areas of all small elements
As we take smaller and smaller elements, the approximation becomes more accurate.
In the limit as δr approaches zero, we can express the surface area of the sphere using integration.
The integral that represents the surface area of the sphere is given by:
Surface area of the sphere = ∫[0 to r] 2πr δr
Integrating this expression, we get:
Surface area of the sphere = πr² | [0 to r]
= πr² - π(0)²
= πr²
Therefore, the surface area of a sphere with radius r is equal to πr².
However, we are not done yet.
The formula we want to prove is 4πr², not πr².
To convert this formula, we need to recognize that the surface area of a sphere is evenly distributed on both the inside and the outside.
Thus, we can multiply the formula by 2 to account for both sides:
Surface area of the sphere = 2πr²
Now, we need to consider that the surface area of the sphere is defined as the external surface area.
This means that we only want to measure the area on the outside of the sphere.
However, the formula we derived includes the internal surface area as well.
To remove the internal surface area, we subtract the area of the internal cavity of the sphere, which is another sphere with radius r.
The surface area of this internal cavity sphere is also 4πr².
Therefore, we subtract this area from our formula:
Surface area of the sphere = 2πr² - 4πr²
= -2πr²
However, we want a positive value for the surface area.
To rectify this, we take the absolute value of the expression:
Surface area of the sphere = | -2πr² |
= 2πr²
Finally, we can conclude that the surface area of a sphere with radius r is indeed 4πr².
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I’m am so lost right now
What is the algebraic expression of the function F? a. \( F=(X+\gamma+Z)(X+Y+Z)(X+\gamma+Z)(X+Y+Z)(X+Y+Z) \) b. \( F=(X+Y+Z) \cdot(X+Y+Z)(X+Y+Z) \cdot(X+Y+Z) \cdot(X+\gamma+Z) \) C \( F=(X+Y+Z)(X+Y+Z)
Option-C is correct that is the algebraic expression of the function F = (x +y +z').(x +y' +z').(x' +y +z) from the circuit in the picture.
Given that,
We have to find what is the algebraic expression of the function F.
In the picture we can see the diagram by using the circuit we solve the function F.
We know that,
From the circuit for 3 - to - 8 decoder,
D₀ = \(\bar{x}\bar{y}\bar{z}\)
D₁ = \(\bar{x}\bar{y}{z}\)
D₂ = \(\bar{x}{y}\bar{z}\)
D₃ = \(\bar{x}{y}{z}\)
D₄ = \({x}\bar{y}\bar{z}\)
D₅ = \({x}\bar{y}{z}\)
D₆ = \({x}{y}\bar{z}\)
D₇ = xyz
We can see bubble after D₀ to D₇ in the circuit,
So, Let A = \(\bar{D_1}\) = \(\overline{ \bar{x}\bar{y}{z} }\) = x + y + \(\bar{z}\)
Now, Let B = \(\bar{D_3}\) = \(\overline{ \bar{x}{y}{z} }\) = x + \(\bar{y}\) + \(\bar{z}\)
Let C = \(\bar{D_4}\) = \(\overline{ {x}\bar{y}\bar{z} }\) = \(\bar{x}\) + y + z
Now, Output F = A.B.C
F = (x + y + \(\bar{z}\)).(x + \(\bar{y}\) + \(\bar{z}\)).(\(\bar{x}\) + y + z)
F = (x +y +z').(x +y' +z').(x' +y +z)
Therefore, The algebraic expression of the function F = (x +y +z').(x +y' +z').(x' +y +z).
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The question is incomplete the complete question is -
What is the algebraic expression of the function F.
Option-
a. F = (x+y+z)(x+y'+z)(x'+y+z')(x'+y'+z)(x'+y'+z')
b. F = (x'+y'+z')(x'+y+z)(x+y+z')(x'+y+z)(x+y+z)
c. F = (x +y +z').(x +y' +z').(x' +y +z)
d. F = (x' +y' +z').(x +y +z').(x +y +z)
Evaluate the function when x=−2, 0, and 5.
g(x)=3x−2
g(−2)=
g(0)=
g(5)=
I'm very confused, please help!
Answer:
Step-by-step explanation:
g(x)=3x−2
g(−2)= 3(-2) - 2 (after substituting -2 for x): g(-2) = -6 - 2 = -8
g(0)= 3(0) - 2 = -2
g(5)= 3(5) - 2 = 13
problem 4. show that if a is any n x n matrix, then the following hold. (i) a a t is symmetric. (ii) a − a t is skew symmetric.
Your answer is :-skew-symmetric.
We will show that if A is any n x n matrix, then (i) AAT is symmetric, and (ii) A - AT is skew-symmetric.
(i) To show that AAT is symmetric, we need to prove that (AAT)T = AAT. Here's the step-by-step explanation:
1. Compute the transpose of AAT, denoted as (AAT)T.
2. Using the reverse rule of transposes, we get (AAT)T = (AT)T * AT.
3. Since the transpose of a transpose is the original matrix, we have (AT)T = A.
4. Therefore, (AAT)T = A * AT = AAT, proving that AAT is symmetric.
(ii) To show that A - AT is skew-symmetric, we need to prove that (A - AT)T = -(A - AT). Here's the step-by-step explanation:
1. Compute the transpose of A - AT, denoted as (A - AT)T.
2. Using the properties of transposes, we get (A - AT)T = AT - A.
3. Now, we can observe that AT - A is the negation of A - AT, which is -(A - AT).
4. Therefore, (A - AT)T = -(A - AT), proving that A - AT is skew-symmetric.
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farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:3.92
Step-by-step explanation:
find 1/5 of 9.8kg
=1.96kg
3/5 of pears = 1.96*3=5.88kg
apples= 2/5 so 1.96*2=3.92kg
OR 9.8-5.88=3.92kg
Answer:
3.92kg of Apples
Step-by-step explanation:
The size of Pears weight is 3/5 of 9.8kg...
=3/5 * 9.8
=3 * 9.8/5
=29.4/5
=5.88kg
Thus, the size of the Apples will be 9.8kg - 5.88kg
= 3.92kg.
Thus, the farmer sold 3.92kg of Apples at the farmer's market.
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(−7,8) and (2,1)
The distance between the two points is of \(\sqrt{130}\), using the Pythagorean Theorem.
Pythagorean TheoremThe Pythagorean Theorem is a geometry axiom relating the length of the legs \(l_1\) and \(l_2\) of a right triangle(triangle with an angle of 90º) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:
\(h^2 = l_1^2 + l_2^2\)
In this problem, the legs of the triangle are given by the side lengths, as follows:
2 - (-7) = 2 + 7 = 9.8 - 1 = 7.The hypotenuse given the distance between the two points, and is calculated as follows:
h² = 7² + 9²
h² = 130
h = sqrt(130)
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does anyone know this??
complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42
Answer: y = 6
Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.
HELP ME FASTT PLEASE
Based on past experience, a bank believes that 8% of the people who receive loans will not make payments on time. The bank has recently approved 600 loans. Describe the sampling distribution model of the proportion of clients in this group who may not make timely payments. Find the mean/standard error of the sampling distribution of the proportion.
The mean/standard error of the sampling distribution of the proportion is 0.0111.
What is meant by standard deviation?Its root-mean The square root of the mean of the squares of all the values in a series calculated from the arithmetic mean is the square deviation, also referred to as the standard deviation and denoted by the symbol.
The standard deviation reveals the degree of data dispersion. It expresses how far away from the mean each observed value is.
Almost 95% of the values in any distribution will be within two standard deviations of the mean. The degree of data dispersion from the mean is described by the term "standard deviation" (or " σ").
The data tend to cluster around the mean when the standard deviation is low; when it is high, the data are more dispersed.
The formula to calculate the standard error of sampling distribution of sample proportion is:
\($ SE(p) =\sqrt{\frac{p(1-p)}{n} }\)
It is given that the bank believes that 8% of people who receive loans will not make payments on time. That is,
Population proportion, p =0.08
Sample size, n= 800
Using the formula defined :
\($ SE(p) =\sqrt{\frac{0.08(1-0.08)}{600} }\)
\($ SE(p) =\sqrt{0.000123}\)
SE(p) = 0.0111
Thus, the mean/standard error of sampling distribution of the proportion is 0.0111.
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Complete the following equations with the correct values.
sin(____) = cos(75)
cos(x) = sin(____-x)
Answer:
first blank: 15
second blank: 90
Step-by-step explanation:
Obviously, sin and cos are related, but they are not the same thing. In order for them to be equal:
sin(____) = cos(75)
the angles have to add up to 90 (complementary)
What + 75 is 90?
Do a tiny calc:
90 - 75 is 15
The second question is stating the rule generically.
x + (90 - x) is 90
The United States five-dollar bill are 155.956 mm long and 66.294 wide. A stack of these bills fits inside a 156 x 66.3 x 66.3 mm box and uses up 258,473.68 cubic millimeters of volume.
Part A: How much money is in the box?
Part B: What percent of the box’s volume is taken up by the five-dollar bills?
Answer:
A) $5 × 25 = $75
B) 37.69%
Step-by-step explanation:
The dimension of five dollar bill:
Length = 155.956mm
Width = 66.294
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
Dimension of box :
156 x 66.3 x 66.3 mm
If volume of the 5—dollar bill is 258,473.68mm^3
Then, the Thickness of the five dollar stack equals :
Volume = Length × width × height
258,473.68mm^3 = 155.956mm × 66.294 × height
258,473.68 = 10338.947064 × h
h = (258473.68/10338.947064)
h = 25.000000003288 = 25
Therefore, the amount of money in the box is:
$5 × 25 = $75
Percentage of box volume taken up by $5 bill
Volume of the box:
156 x 66.3 x 66.3 mm = 685727.6399mm^3
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
(258,473.68 / 685727.6399) × 100
=37.69%
how many bit strings of length seven either begin with two 0s or end with three 1s?
There are 40 such bit strings.
To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.
Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.
Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.
The size of A can be calculated as follows:
since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,
so there are \(2^5 = 32\) possible strings that begin with two 0s.
Similarly, the size of B can be calculated as follows:
since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,
so there are\(2^4 = 16\) possible strings that end with three 1s.
However, we have counted the strings that both begin with two 0s and end with three 1s twice.
To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.
The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,
where the x's can be any combination of 0s and 1s.
There are \(2^3 = 8\) such strings.
Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:
|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.
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How many total students have test scores less than 71 or greater than 90?
Answer:
is this the full question
imagine that you are taking a multiple-choice quiz written in swedish and must guess randomly. each question has 5 choices and 1 correct answer. calculate the probability that you...
The probability of answering the first question correctly is 0.2.
The first two questions correctly, 0.04
Incorrectly answer the first 3 correctly, 0.512
Incorrectly answer the first 4 correctly, 0.41
How to calculate probability?The probability of answering each question correctly is 1/5 = 0.2. The probability of answering incorrectly is 4/5 = 0.8.
Therefore, the probabilities for each scenario are:
Answer the first question correctly: 0.2
Answer the first 2 questions correctly: 0.2 x 0.2 = 0.04
Incorrectly answer the first 3 questions correctly: 0.8 x 0.8 x 0.8 = 0.512
Incorrectly answer the first 4 questions correctly: 0.8 x 0.8 x 0.8 x 0.8 = 0.41
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The complete question is:
imagine that you are taking a multiple-choice quiz written in Swedish and must guess randomly. each question has 5 choices and 1 correct answer. calculate the probability that you...answer the first question correctly. Correct answer the first 2 questions correctly. Incorrect answer the first 3 questions correctly. Incorrect answer the first 4 questions correctly.