Answer:
a line with points A and B is True
a coin is tossed 9 times. what is the probability of getting at least one tail? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of getting at least one tail when a coin is tossed 9 times is 0.8438. This can be calculated by adding the probability of getting 0 tails, 1 tail, 2 tails, 3 tails, 4 tails, 5 tails, 6 tails, 7 tails, 8 tails, and 9 tails together:
P(at least one tail) = P(0 tails) + P(1 tail) + P(2 tails) + P(3 tails) + P(4 tails) + P(5 tails) + P(6 tails) + P(7 tails) + P(8 tails) + P(9 tails)
= 0.0019 + 0.0156 + 0.0781 + 0.2051 + 0.3086 + 0.3086 + 0.2051 + 0.0781 + 0.0156 + 0.0019
= 0.8438
Therefore, the probability of getting at least one tail when a coin is tossed 9 times is 0.8438, which can be expressed as a decimal rounded to four decimal places.
The probability of getting at least one tail in a coin toss is 1 minus the probability of getting all heads.
The probability of getting a head in one toss is 0.5, so the probability of getting all heads in 9 tosses is 0.5^9 = 0.001953125.
So the probability of getting at least one tail is 1 - 0.001953125 = 0.998046875.
As a fraction, this can be written as 998046875/1000000000, which can be simplified to 511/512.
So the probability of getting at least one tail in 9 tosses is 0.9980 or 511/512.
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Find the Area! Need help asap
Answer:
5.6ft squared
Step-by-step explanation:
4x7 = 28 divided by 5 which is 5.6
Circle the choice that completes the statement.
10,000 less than 24,576 is equal to, greater than, or less than 1,000 less than 14,576.
The LHS part is greater than the RHS part. So, The given expression is 10,000 less than 24,576 is greater than 1,000 less than 14,576.
Given data:
The given expression is 10,000 less than 24,576 is............ 1,000 less than 14,576.
The given expression is broken into two parts to get the result.
Consider it as the LHS part,
10,000 less than 24,576 can be expressed numerically as:
24,576 - 10,000 = 14,576
This is the LHS part,
Consider it as the RHS part,
1,000 less than 14,576 can be expressed numerically as:
14,576 - 1,000 = 13,576
This is the RHS part
The LHS part is greater than the RHS part. So, The given expression is 10,000 less than 24,576 is greater than 1,000 less than 14,576.
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How to expand (x+3)( x-2), using the F.O.I.L method?
Answer:
x^2+x-6
Step-by-step explanation:
If you follow the picture in the respective order of FOIL you should get this answer.
Which of the following sets of numbers could represent the three sides of a triangle? { 7 , 10 , 18 } {7,10,18} { 6 , 19 , 25 } {6,19,25} { 11 , 17 , 26 } {11,17,26} { 8 , 16 , 24 } {8,16,24}
The set of numbers that could represent the sides of a triangle is
{ 11, 17, 26 }.
Option E is the correct answer.
We have,
To determine whether a set of three numbers can represent the sides of a triangle, we need to check if the sum of the two shorter sides is greater than the longest side.
This is known as the Triangle Inequality Theorem.
So,
{ 7, 10, 18 }:
7 + 10 = 17, which is less than 18.
Therefore, this set cannot represent the sides of a triangle.
{ 6, 19, 25 }:
6 + 19 = 25, which is equal to 25.
Therefore, this set cannot represent the sides of a triangle.
{ 11, 17, 26 }:
11 + 17 = 28, which is greater than 26. 17 + 26 = 43, which is greater than 11. Therefore, this set can represent the sides of a triangle.
{ 8, 16, 24 }:
8 + 16 = 24, which is equal to 24.
Therefore, this set cannot represent the sides of a triangle.
Thus,
The set of numbers that could represent the sides of a triangle is
{ 11, 17, 26 }.
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Which of the quadrilaterals have ALL of the distinguishing characteristics listed below? There may be more than one answer.Parallelogram, Trapezoid, Rhombus, Rectangle, Square. Both pairs of opposite sides are congruent. Both pairs of opposite sides are parallel. All four angles are right angles.
Answer:
Rectangle and Square.
Step-by-step explanation:
Let's evaluate the characteristics of each quadrilateral:
Parallelogram
Both pairs of opposite sides are congruent - OK
Both pairs of opposite sides are parallel - OK
All four angles are right angles - NO
Trapezoid
Both pairs of opposite sides are congruent - NO
Both pairs of opposite sides are parallel - NO
All four angles are right angles - NO
Rhombus
Both pairs of opposite sides are congruent - OK
Both pairs of opposite sides are parallel - OK
All four angles are right angles - NO
Rectangle
Both pairs of opposite sides are congruent - OK
Both pairs of opposite sides are parallel - OK
All four angles are right angles - OK
Square
Both pairs of opposite sides are congruent - OK
Both pairs of opposite sides are parallel - OK
All four angles are right angles - OK
So, only rectangle and square have all of the distinguishing characteristics listed.
X/6 = 25 Solve the equation. (please show work!! thank you!)
Answer:
150
Step-by-step explanation:
x/6 = 25
therefore, x = 25 * 6
x = 150
you're welcome....
Answer:
150/6=25
Step-by-step explanation:
×/6=25
×6. ×6
× = 150
What variables are included in demographics? Which demographic shifts, if any, do you feel will have a noticeable impact on which market in the next 10 years? Justify your answer.
Discuss any of the subcultures of your interest and the unique marketing aspects you have found for that specific subculture by providing an example
Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.
Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.
The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.
The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.
The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.
An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.
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if the demand curve shifts to the left, what happens to price and quantity?
Answer:
A lower price and quantity would result.
x + 2/3 = -4 one step equation
Answer:
-4.666666667
Step-by-step explanation:
x + 2/3 = -4
x = -4 - 2/3
x = -4.666666667
Is this a true statement?8 + y = 10, y = 5
Answer:
No it is not
Step-by-step explanation:
8 + 5 = 13 or 10
(Just substitute values)
Have a great day.
PLEASE HELP ASAP!! will mark brainlest!
Answer:
1. Axis of Symmetry: x=-4, Vertex: (-4, -6)
2. Axis of Symmetry: x=2, Vertex: (2, 8)
Step-by-step explanation:
Which of the following is most likely the next step in the series?
⠀⠀
O A.
О в.
OC.
O D.
Answer:
D
Step-by-step explanation:
I think 'D' will be the correct answer for you!
Carbon C diamond is one form of carbon; the other is graphite.
The correct option is A.
What is chemical formula ?A chemical equation is a phrase that enumerates a compound's component elements and their respective weights. If there is just single atom of a particular sort, no subscript is necessary. If an atom contains three or more of a specific type of atom, a subscript is appended to a symbol for that atom.
here, we have,
Briefing:
Both graphite and diamond are carbon allotropes. Although graphene and fullerenes are among the rarer unusual allotropes of carbon, they do exist. An enormous three-dimensional network of carbon atoms makes up a diamond.
we know that is the importance of chemical formula :
Chemical equations provide details about the chemical composition of a compound. They also represent the proportions in which the compound's individual components come together to create the compound. The chemical formula of a compound is crucial when describing it in a chemical equation.
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2³ + 10 - 4 +4 +3²
please help me with this
Provide MATLAB code for the following problems. Include MATLAB comments in your code to explain its operation. a) Write a MATLAB function which takes as input any 1x matrix of numbers, appends a new row of zeros and a new column of zeros to it, and returns the resulting (n+1)×(m +1) matrix as the output. Test the function using a short MATLAB script which calls the function. [8 Marks] b) Find the value(s) of the real variable x that satisfy the equation inx=x²-2. Check the correctness of your solution after finding it. [9 Marks]
a) MATLAB function to append a new row and column of zeros to a matrix:
function newMatrix = appendZeros(matrix)
% Get the size of the input matrix
[n, m] = size(matrix);
% Create a new matrix with size increased by 1 in both dimensions
newMatrix = zeros(n+1, m+1);
% Copy the original matrix to the top-left part of the new matrix
newMatrix(1:n, 1:m) = matrix;
% Return the resulting matrix
end
MATLAB script to test the function:
% Create a sample matrix
inputMatrix = [1 2 3; 4 5 6; 7 8 9];
% Call the appendZeros function
outputMatrix = appendZeros(inputMatrix);
% Display the input and output matrices
disp('Input Matrix:');
disp(inputMatrix);
disp('Output Matrix:');
disp(outputMatrix);
b) MATLAB code to find the values of x that satisfy the equation inx = x^2 - 2:
% Define the equation function
equation = (x) x - x^2 - 2;
% Use fzero to find the root(s) of the equation
x = fzero(equation, 0); % Starting the search from x = 0
% Display the result
disp('Root(s) of the equation: ');
disp(x);
% Check the correctness of the solution
check = x - x^2 - 2;
disp('Equation check:');
disp(check);
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An ice cream stand offers four flavors:
strawberry, chocolate, vanilla, and mint
chocolate chip.
Give the slope of the line that passes
through the given points.
(-18, 5), (-45, 7)
Give only the number in fraction form
Answer:
\(m=-\frac{2}{27}\)
Step-by-step explanation:
\(Slope (m) =\frac{y_2-y_1}{x_2-x_1}\\(x_1,y_1)=(-18,5)\\(x_2,y_2)=(-45,7)\\m=\frac{7-5}{-45-(-18)}\\m=\frac{2}{-45+18}\\m=\frac{2}{-27}\\m=-\frac{2}{27}\)
in 2014, the centers for disease control and prevention reported four diagnoses of the ebola virus in the united states. three of the patients recovered, although one person unfortunately died from the disease. nonetheless, people nationwide feared for their health and safety, although the probability of any one individual contracting the disease was extremely small. which barriers to reasoning rationally help explain this panicked reaction?
The panicked reaction to the Ebola virus outbreak in 2014 can be attributed to several barriers to reasoning rationally.
These barriers include:
1. Availability Bias: People tend to overestimate the probability of an event occurring based on how easily they can recall similar instances. In the case of the Ebola virus, the extensive media coverage and graphic images of the outbreak may have made it seem more widespread and dangerous than it actually was.
2. Negativity Bias: People are more influenced by negative information and tend to focus on potential risks and threats. The fear of contracting a deadly virus like Ebola overshadowed the low probability of actually being infected.
3. Loss Aversion: People tend to have a stronger emotional response to potential losses than to gains. The fear of losing one's health and safety to a deadly virus can lead to exaggerated reactions and panic.
4. Overgeneralization: People often make generalizations based on limited or incomplete information. In the case of the Ebola outbreak, the limited number of cases in the United States led to the assumption that the virus was highly contagious and posed a significant risk to the general population.
It is important to note that these barriers to reasoning can hinder our ability to think rationally and make informed decisions. Understanding these biases can help us approach situations with a more balanced and evidence-based perspective.
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12x + 30= 6(2x+a) in the equation above, (a) is constant. For what value of (a) does the equation have an infinite number of solutions? Explain!
The value of a for which the equation has an infinite number of solutions is 5.
The solution to the equation: The result is a distribution of weights to the variables involved, establishing a balance in the calculation.
The equation given is written below:
Both sides of the equation must have the same value for an infinite number of solutions.
12x + 30 = 6(2x + a)
Simplifying the equation:
12x + 30 = 12x + 6a
Canceling 12x both sides. We get,
the value of a = 5
The value of a for which the equation has an infinite number of solutions is 5.
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which power of ten will you multiply by to convert meters to millimeters?
Answer:
multiply by 1,000
Step-by-step explanation:
since there are 1,000 millimeters per meter
Answer:
3 power
Step-by-step explanation:
4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.
Answer:
15n = 330
Value of n(number of lawns) = 22
Step-by-step explanation:
She has already saved $85 which means the amount of money she needs left will be
=$415 - $85
= $330
Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.
15n = 330
To go further, divide both sides by 15 to get the number of lawns she has to mow.
\(\frac{15n}{15} =\frac{330}{15}\)
n = 22
∴ She needs to mow 22 lawns to get the amount of money she needs.
Select the correct answer from each drop-down menu.
The given equation has been solved in the table.
Step
Statement
1
2
- 6 = 15
-1-6+6 = 15 + 6
* = 21
-2.-= -2.21
3
4
5
y = -42
Use the table to complete each statement.
In step 2, the
In step 4 the
property of equality was applied.
property of equality was applied.
Answer:
2 addition
4 multiplication
Step-by-step explanation:
In step 2 we are adding 6 to each side so we use the addition property of equality
In step 4 we are multiplying by -2 on each side so we use the multiplication property of equality
Answer:
2- addition
4- mult.
Step-by-step explanation:
Find the point-slope equation for the line
that passes through the points (30, 2) and
(15, -28). Use the first point in your
equation
y - [?
l(x - [
Answer:
y-30=2(x-2)
Step-by-step explanation:
m=y2-y1/x2-x1
-28-2=(-30)
15-30=(-15)
-30/(-15)=2
m=2
hope this helps =3
sorry if im wrong
If 7x^3+9x^2−2=5
, what is the approximate value of x?
The approximate value of x in the equation 7x^3 + 9x^2 - 2 = 5 is x ≈ -1.153.
To find the approximate value of x in the equation 7x^3 + 9x^2 - 2 = 5, we need to solve for x.
Rearranging the equation, we have:
7x^3 + 9x^2 - 2 - 5 = 0
7x^3 + 9x^2 - 7 = 0
This equation is a cubic equation, which can be challenging to solve analytically. However, we can use numerical methods or software to approximate the value of x.
Using a numerical solver or a graphing calculator, we can find that there is a root near x ≈ -1.153.
It's important to note that this is an approximation, and the exact value of x may have more decimal places. Additionally, there could be other roots to the equation that are not visible in the given equation.
If a more precise value is required, you can use numerical methods like Newton's method or bisection method, or utilize software with higher precision calculations to find a more accurate approximation of x.
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Find the distance between the points (5,1) and (1,4).
Answer:
5
Step-by-step explanation:
distance formula √[(x1-x2)²+(y1-y2)²]
Tanui had 2 hectares of potatoes. He later added 1 more hectare of potatoes.What was the percentage increase of the area under potatoes
work out 6/5 of 200 and show working out
Answer:
240.
Step-by-step explanation:
200 * 6/5
= 1200/5
= 240
Match the recursive formula for each sequence.
The recursive formulas for each sequence are listed below:
Case 1: aₙ = 4 · aₙ₋₁ + 6
Case 2: aₙ = aₙ₋₁ · 2ⁿ
Case 3: aₙ = aₙ₋₁ + 99
Case 4: aₙ = aₙ₋₁ + n
Case 5: aₙ = aₙ₋₁ · (- 14)
Case 6: aₙ = aₙ₋₁ · n²
How to determine the recursive formulas for each sequence
In this problem we find six sequences, whose recursive formulas must be determined. This can be done by a trial-and-error approach, this is, using the first element of the sequence and any of the six given sequences.
Case 1: 10, 46, 190, 766
aₙ = 4 · aₙ₋₁ + 6
a₁ = 10
a₂ = 4 · 10 + 6
a₂ = 46
a₃ = 4 · 46 + 6
a₃ = 184 + 6
a₃ = 190
a₄ = 4 · 190 + 6
a₄ = 766
Case 2: 4, 16, 128, 2048, 65536
aₙ = aₙ₋₁ · 2ⁿ
a₁ = 4
a₂ = 4 · 2²
a₂ = 16
a₃ = 16 · 2³
a₃ = 128
a₄ = 128 · 2⁴
a₄ = 2048
a₅ = 2048 · 2⁵
a₅ = 65536
Case 3: - 100, - 1, 98, 197, 296
aₙ = aₙ₋₁ + 99
a₁ = - 100
a₂ = - 100 + 99
a₂ = - 1
a₃ = - 1 + 99
a₃ = 98
a₄ = 98 + 99
a₄ = 197
a₅ = 197 + 99
a₅ = 296
Case 4: 17, 19, 22, 26, 31
aₙ = aₙ₋₁ + n
a₁ = 17
a₂ = 17 + 2
a₂ = 19
a₃ = 19 + 3
a₃ = 22
a₄ = 22 + 4
a₄ = 26
a₅ = 26 + 5
a₅ = 31
Case 5:
aₙ = aₙ₋₁ · (- 14)
a₁ = - 7
a₂ = (- 7) · (- 14)
a₂ = 98
a₃ = 98 · (- 14)
a₃ = - 1372
a₄ = (- 1372) · (- 14)
a₄ = 19208
Case 6: 7, 28, 252, 4032
aₙ = aₙ₋₁ · n²
a₁ = 7
a₂ = 7 · 2²
a₂ = 28
a₃ = 28 · 3²
a₃ = 252
a₄ = 252 · 4²
a₄ = 4032
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(10.07 mc) given what degree maclaurin polynomial is required so that the error in the approximation is less than 0.001?
n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
Given that,
The expression is
e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
We have to find what degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
We know that,
What is the polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
√e=1.64872
Pₙ( x)= e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
P₂=1+0.5+0.5²/2!=1.625
P₃= P₂+0.5³/3!=1.6458
P₄= P₃+0.5⁴/4!=1.648404
√e - P₄ = -0.0003158
Therefore, n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
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When a random representative sample is drawn from a population, the procedure is deemed to be what type of sample?
The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.
What is a random sampling?Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.
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