K-
Assume that random guesses are made for 8 multiple-choice questions on a test with 5 choices for each question, so
that there are n = 8 trials, each with probability of success (correct) given by p=0.20. Find the probability of no correct
answers.
Click on the icon to view the binomial probability table.
The probability of no correct answers is
(Round to three decimal places as needed.)
www.
Using the binomial distribution, it is found that:
The probability of no correct answers is 0.1678 = 16.78%.
For each question, there are only two possible outcomes, either it is answered correctly, or it is not. The answer of a question is independent of any other question, thus the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula for the probability of x successes is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.In the context of this problem, considering the number of questions and the probability of each being answered correctly, the parameters are given as follows:
n = 8, p = 0.2.
The probability of no correct answers is P(X = 0), hence:
P(X = 0) = (0.8)^8 = 0.1678.
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Determine whether the equation y=7-x represents a linear or nonlinear function.
Answer: linear equation
Step-by-step explanation:
because x is not squared
step by step explanation long divison 9 divided by 1557
Answer:
Step-by-step explanation:
9 divided by 1557
(Tell me if you mean 1557 divided by 9 lol the wording is strange :] )
See screenshot!
Answer the questions in the photos for brainliest
The answers are subtraction, subtraction, and addition property of equality
There are 9 properties of equality, which are addition, subtraction, multiplication, division, distributive, substitution, reflexive, symmetric, and transitive. In this case, we are using the first 2. In algebra, whatever you do to one side has to be done to the other, in the case of the first problem x is being subtracted on both sides, which represents the definition of the subtraction property (If a = b, then a – c = b – c, a is the one side of the equation, b is the other side, and c is the subtraction done on both sides). The first one is the subtraction property of equality, then, and if we look at problem 2, the same thing is done (apart from that it is done with a number, which doesn't affect the property), so it is also the subtraction property.
Now the last problem seems to do the opposite, it seems to be adding instead, in this case, adding 1 on both sides. This follows the definition of the addition property of equality (If a = b, then a + c = b + c) since it is adding c (1) on both sides. So the last problem is the addition property of equality.
Someone please help with this
HELP PLS I NEED THIS TODAY
What are the similarities and differences between number 1 and 3?
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
Answer:
1 and 3Similarity: Both are odd numbers
differences: 3 > 1
3 and 4Similarity: Both are Consecutive natural numbers
differences: 3 is an odd number and 4 is an even number
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digital
RÁCTICA
suelve cada ecuación. VER EJEMPL
-4x+3x = 2
Answer:4/3-2
Step-by-step explanation:
Elizabeth brought a box of donuts share there are two dozen donuts in the box all identical in size shape and color two are jelly filled seven are lemon filled and 15 are custard fill you randomly select one donut eat it and select another doughnut. find the probability of selecting two lemon filled donuts in a row
The probability of selecting two lemon filled donuts in a row is 7/92.
What is the probability?
Probability is used to determine the odds that a random event would happen. The odds that the random event happens has a probability value that lies between 0 and 1. If it is certain that the event would happen, the probability value would be 1. If it is certain that the event would not happen, the probability value is 0.
The donuts are picked without replacement because the donut are eaten as they are picked.
Probability = (number of lemon filled donuts / total number of donuts) x [(number of lemon filled donuts / total number of donuts) - 1]
(7/24) x (6/23) = 7/92
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where is y=5x on a graph ???
Answer and Explanation:
y = 5x is a line with a constant of proportionality of 5 (it goes through the origin). It goes through quadrants I and III.
See the attached image for a graph.
.
We only combine like terms when the like terms are
where?
Step-by-step explanation:
We only combine like terms when the like terms are alike
To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term. Example: 7x+3x both are like terms we can combine together and write 10x.
(5x10^2) x (8x10^4)
I NEED HELP PLEASE!!!!
Answer:
4 x 10^7 i.e. 40000000
Step-by-step explanation:
(4x10^7) is obtained by multiplying (5x10^2) by (8x10^4).
The equation can be solved by multiplying the coefficients (5 and 8) first, adding the exponents (2 and 4), and writing the result in scientific notation:
(5 x 8) x 10^(2 + 4) = 40 x 10^6 = 4 x 10^7.
Hope it helps! : )6x + 5x + 2y 11x + 2y 13xy : please explain please please
Answer:
22x + 4y + 13xy
Step-by-step explanation:
First, you add the like terms
(the terms that contain the same variable which is raised to the same power)
6x + 5x + 11x= 22x
2y + 2y = 4y
13xy
Then since nothing else shares the like terms you leave it as 22x + 4y + 13xy
Please help me Please help me please
Answer:
1. given
2. corresponding angle theorem
3. vertical angle theorem
4. transitive
Step-by-step explanation:
1. it is given because the question supplies the fact at the top above the diagram called "Given:"
2. corresponding angle theorem: "when a line intersects 2 parallel lines, then the corresponding angles in the 2 regions of intersection are congruent" (also look at correspond_screenshot, the first image)
3. vertical angle theorem: "when two straight lines intersect, they form two sets of linear pairs with congruent angles" (also look at vertical_screenshot, the second image)
4. transitive: since we now know <2 ~= <1 ~= <3, we can say <2 ~= <3
("If any segments or angles are congruent to the same angle, then they are congruent to each other")
←
Write a quadratic equation in standard form that has two solutions, 1 and =
10.
0
(Simplify your answer. Type an expression using x as the variable.)
With the two solutions, the quadratic equation is x^2 - 11x + 10 = 0
How to determine the quadratic equation in standard form?From the question, we have:
Number of solutions = 2
Variable = x
Where the solutions are
1 and 10
This means that
x = 1 and x = 10
Rewrite the above solutions as
x - 1 = 0 and x - 10 = 0
Multiply the above equations
(x - 1) * (x - 10) = 0
This gives
x^2 - 11x + 10 = 0
Hence, the quadratic equation in standard form is x^2 - 11x + 10 = 0
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Using only the values given in the table for the function,
f(x), what is the interval of x-values over which the
function is increasing?
(-6-3)
(-3,-1)
(-3.0)
(-6-5)
The interval of x-values over which the function is increasing is (-3 , -1)
What is function ?A law that connects two variables—the dependent and the independent variables—is known as a function.
A function's range and domain are always specified.
The x and y values are:
-6 -34
-5 3
-4 -10
-3 -11
-2 -6
-1 -1
0 -2
1 -15
It is necessary to identify the range of x-values across which the function increases.
The function is not rising in this interval, hence the first option is (-6, -3).
The function is rising in this range, hence the second alternative is (-3, -1).
The function is not rising in this interval, hence the third alternative is (-3, 0).
The function is not rising in this period, hence the fourth alternative is (-6, -5).
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estimate 18.50x2.6
[please help it is a past due asigment
Answer:
11.1x²
Step-by-step explanation:
What is the expression after applying the distributive property?
−3.6(−2+(−7))
Enter your answer by filling in the boxes.
(-3.6) ( ) + ( ) ( )
The expression after applying the distributive property is: (-3.6)(-2) + (-3.6)(-7).
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is the distribution property?The distributive property states that when the sum of two (2) or more addends are multiplied by a specific number, the same output would be produced as when each addend is multiplied respectively by the number, and the products are added together.
Mathematically, the distributive property of multiplication is given by this expression:
x(y + z) = xy + xz.
By applying the distributive property of multiplication to the given expression, we have the following expression:
-3.6(-2 + (-7)) = (-3.6)(-2) + (-3.6)(-7).
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if a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as severely rich. rich. near poor. severely poor. poor.
When a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as rich.
How to illustrate the information?The "economy food plan," which is based on the U.S. Department of Agriculture, is used as the basis for an absolute poverty indicator in the country. The World Bank also uses an absolute definition of poverty. Extreme poverty is defined as surviving on less than $1.90 USD a day.
A ratio of less than 1 generally indicates that the income is below the poverty line. When the ratio is 1, income and poverty level are equal, and when the ratio is larger than 1, income is greater than poverty level. In this case, the family is rich.
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The expression models the final price of a television set with an instant rebate in a state that charges a sales tax. what is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied? question 4 options: x - 300 0.07x x 0.07x (x - 300)
C x -300 is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied
We are given that an expression models the final price of television set with an instant rebate in a state that charges a sales tax.
0.07x+(x-300)
The sale tax in on the original price .
We have to find an expression that represents the price of the television set after the instant rebate is applied but before the tax is applied.
Let x be the original price of television.
Instant rebate is subtracted from original price x.
Then , the cost of the television set=x-300
In the given expression 0.07 x is sales tax. where tax is 7 % on the original price x.
Sales tax is added to the price of television set.
Hence, option C is true and answer is C x -300
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please please help me rn it do in few mins
Answer: 68.75
Step-by-step explanation: I did the math myself so it may not be correct, but it's at least very close.
Answer:
the correct answer is D:68.75
The function A(t) (70 6t)2 gives the area of the oil slick (in
square meters) t hours after Lindsay first spots it.
a. Find the rate at which the area is growing exactly one hour after
Lindsay first saw it.
b. Express your answer as a derivative.
Answer: Heres your answer! I hope we can be friends!
Step-by-step explanation: The answer for A is the specified rate fro 70+66, which would be 126x2 is 166. B as derivative would be your preference! I hope this helped have a good day!
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Question
Which is equal to open parentheses 2 x squared minus 5 x plus 4 close parentheses minus open parentheses 4 x squared plus 3 x minus 2 close parentheses
Answer · 2 votes
(4-5+4)-(16+3-2)(-1+4)-(16+1)3-17-14
The value of the expression is [tex]-2x^2[/tex]-8x + 6.
Given expression:-
[tex](2x^2-5x+4)-(4x^2+3x-2)[/tex]
We have to find the value of the given expression.
We know that, while subtracting quadrating equations, we subtract like terms from like terms.
Like terms
Like terms are those that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only we can combine like terms.
For example : While adding (5x + 3) and (4x - 5), we will add 5x to 4x and 3 to -4 to get the answer that is 9x - 1.
Hence, we can write,
([tex]2x^2-4x^2[/tex]) + (-5x -3x) + (4 -(-2)) = [tex]-2x^2[/tex] -8x + 6.
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A local college wants to test the water quality by performing a survey. Which description describes what they should collect?
the tap water quality at one house
the tap water quality at one local store
the river water quality by collecting water in the same spot
the river water quality by collecting water in different spots
two and one hundread eight thousandths in standard form
factorise the expression (a+b)^2=4
The factored expression of the expression given as (a + b)^2 = 4 is (a + b + 2)(a + b - 2) = 0
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to factor the expression?The expression is given as
(a + b)^2 = 4
Express 4 as 2^2
So, we have
(a + b)^2 = 2^2
Rewrite as
(a + b)^2 - 2^2 = 0
Apply the difference of two squares
So, we have
(a + b + 2)(a + b - 2) = 0
Hence, the equivalent expression of the expression given as (a + b)^2 = 4 when it is factored is (a + b + 2)(a + b - 2) = 0
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Find a relation between x and y such that the point (x, y) is equidistant from the point (2, -5) and (-2,9).
Answer:
(0,2)
Step-by-step explanation:
x = [tex]\frac{2-2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0 We are finding the average of the x values (2 and -2)
y = [tex]\frac{-5+9}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 we are finding the average of the y values (-5 and 9)
The relation between x and y such that the point (x, y) is equidistant from point(2, -5) and(-2, 9) = 2x + 7y = -14
Points (2, -5) and (-2, 9).
let (x, y) be A
Let (2, -5) = (-2, 9) = B
Ax = Bx (length)
Squaring on both sides
Ax² = Bx²
By distance formula
(x - 2)² + (y +5)² = (x + 2)² + (y - 9)²
x² - 4x + 4 + y² +10y + 25 = x² + 4x + 4 + y² - 18y + 81
8x + 28y = -56
by multiplying both sides by 4
2x + 7y = -14
This is the relationship between the points (x, y) which is equidistant to A and B.
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EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
7, 4, 1, -2, ...
The nth term of the arithmetic sequence when the numbers given are 7, 4, 1, -2 is 6 - 3n.
What will the sequence be?It should be noted that an arithmetic sequence has a common difference. In this case, the values that are given include 7, 4, 1, -2.
First term = 7
The common difference between the numbers include:
= Second term - First term
= 4 - 7
= -3
The nth term will be:
= a + (n - 1)d
where a = 7
d = -3
= a + (n - 1)d
= 7 + (n - 1) -3
= 7 -3n - 1
= 6 - 3n
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1 and 2 form a linear pair the m<2 is six more then twice the m<1 finf m<2
Answer:
m<2= 2x+6
Step-by-step explanation:
so you have +6 or six more than 2x or twice than m<1 so therefore m<2= 2x+6
PLSS heLP on my math
16. A snack mix contains toasted oat cereal,
pretzels, and nuts in a ratio of 2:2:1 by
mass. What mass of each ingredient is
needed to make the following amounts of
snack mix?
a) 330 g
b) 210 g
c) 500 g
d) 750 g
The mass of ingredient is given by 66g, 45g, 100g, 150g.
What is mass?
Mass is a parameter of measurement that calculates how much matter is contained in a body.
Mass is a physical quantity. Mass is measured in terms of the weight of a body. Gram, kilogram, and pounds are some standard mass units to measure it. The SI unit of mass is the kilogram; however, smaller objects are measured in grams.
Given, the ratio of the ingredients by mass as 2:2:1.
Let x be the mass of the ingredients.
A) total mass is given by 330g
therefore, 2x+2x+1x = 330
5x = 330
x = 330/5
x = 66
Hence the mass of oat = 2(66) = 132g
mass of cereal = 2(66) = 132 g
mass of nuts = 66g
B) 2x+2x+1x = 210
5x = 210
x = 210/5
x = 42g
Hence, the mass of oat = 2(42) = 84g
mass of cereal = 2(42) = 84 g
mass of nuts = 84
C) 2x+2x+1 = 500
5x = 500
x = 100
hence, the mass of oat = 2(100) = 200g
mass of cereal = 2(100) = 200 g
mass of nuts = 100g
D) 2x+2x+1 = 750g
5x = 750
x = 750/5
x = 150
Hence, the mass of oat = 2(150) = 300g
mass of cereal = 2(150) = 300 g
mass of nuts = 150g
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Which equation represents a line which is parallel to the line
y = 1/2x +3
Equation represents a line which is parallel to the line
y = 1/2x +3 with (2,5)
Since you are looking for an equation that is parallel to a line, the slope is the same: m = 1/2
Use Point-Slope equation [y-y1 = m(x-x1)]
with the given point (2,5): y-
5=1/2(x-2)
Distribute the 1/2: y-5=1/2x-1
Move the 5 to the other side to put it in y=mx+b form: y=1/2x-1+5
Answer:
y=1/2x+4
A parallel equation can be located in what way?
In the absence of an intersection, two lines are said to be parallel. Each line has the same slope. In the event that m1=m2, f(x)=m1x+b1 and g(x)=m2x+b2 are parallel. If m 1 = m 2, then f (x) = m 1 x + b1 and g (x) = m 2 x + b2 are parallel.
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