Find the weighted average of the points in the line

If there is a 0.41% chance that an American citizen will die from falling, then the probability  that you will not die from a fall is 99.59%

The chances of an American citizen will die from falling = 0.41%

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The equation will be

The probability = Number of favorable outcomes / Total number of outcomes

The probability  that you will not die from a fall = 1 -  The chances of an American citizen will die from falling

Substitute the values in the equation

The probability  that you will not die from a fall = 1 - 0.41

= 99.59%

Therefore, the probability  that you will not die from a fall is 99.59%

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I am not pretty sure of the answer but maybe it's 5/10

Answer:

the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5

Step-by-step explanation:

to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left

the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2

9+10=19

19÷2= 9.5

Answer:

step 1 was wrong she should have added 25 to both sides

Step-by-step explanation:

step 3 was correct she divided both sides by -5

An equation that describes the relationship shown in the table is y = 2x + 1.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (11 - 7)/(5 - 3)

Slope (m) = 4/2

Slope (m) = 2.

At data point (3, 7) and a slope of 2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = 2(x - 3)

y = 2x - 6 + 7

y = 2x + 1

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Complete Question:

The table snows a linear relationship between x and y.

x     y

3     7

5     11

10    21

Create an equation that describes the relationship shown in the table.

Move the correct answer to each box. Not all answer will be used.

Answer:

The shirt cost $28

The theater has a total of 945 seats.

To determine the number of seats in the theater, we need to calculate the sum of seats in each row. The first row has 25 seats, and each subsequent row increases by one seat. Since there are 35 rows in total, we can calculate the sum of an arithmetic series to find the total number of seats.

The formula for the sum of an arithmetic series is Sn = (n/2) * (a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 35 (number of rows), a1 = 25 (number of seats in the first row), and an = a1 + (n - 1) = 25 + (35 - 1) = 25 + 34 = 59 (number of seats in the last row). Plugging these values into the formula, we get Sn = (35/2) * (25 + 59) = 17.5 * 84 = 1470. Therefore, the theater has a total of 945 seats.


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Answer:

Step-by-step explanation:

Axis of Symmetry y=-6x^2+36x-12. y=−6x2+36x−12 y = - 6 x 2 + 36 x - 12 Rewrite the equation in vertex form.

Answer:

x=3

Step-by-step explanation:

solution

W=f×d×cos theta

=25N×16m×cos 45°

=400Nm×cos 45°

=282.84J

W=f×d×cos theta

=25N×7m×cos 10°

=175Nm×cos10°

=172.34J

Total workdone=282.84J+172.34J=455.18J

Answer:

6 ways

Step-by-step explanation:

Given

Number of Sports: 3

Required

Determine the total number of schedules

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:

\(Number = n!\ ways\)

Where:

\(n = 3\)

So, we have:

\(Number = 3 * 2 * 1\ ways\)

\(Number = 6\ ways\)

Answer:

882

Step-by-step explanation:

Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882

Answer:

The answer is "\(\frac{72}{4} =18\)".

Step-by-step explanation:

Given value:

4 40 32

Solution:

\({\boxed{4\ \boxed{40} \ \boxed{32}}}\)

If we divide the value by 4 it will give 10 and 8.

\(\to \frac{40}{ 4} = 10\\\\\to \frac{32}{ 4} = 8\\\)

If we add the boxed value it will be equal to 72 and divide the value by 4 it will give a value 18.

\(\to 40+32 =72\\\\\to \frac{72}{4}=18\)

The two cylinders that have the same lateral surface area are cylinders W and Y.

What is the lateral surface area of the cylinders?

The lateral surface area is the area of all the sides of a 3-dimensional shape without its base and top.

Lateral surface area of a cylinder = 2πrh

Lateral surface area of cylinder  W = 2 x π  x 3 x 9 = 27π

Lateral surface area of cylinder  X = 2 x π x 4 x 2 = 16π  

Lateral surface area of cylinder  Y = 2 x π  x 4.5 x 6 = 27π

Hence, the two cylinders that have the same lateral surface area are cylinders W and Y.

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The probability mass function (PMF) for X is:P(X = 0) = 13/20,P(X = 1) = 1/5,P(X = 2) = 3/20

To find a probability mass function (PMF) for the random variable X that satisfies the given expectations, we can define the probabilities for each value of X and solve for them.

Let's denote the probability of X taking the value x as P(X = x). According to the problem, we have the following expectations:

E[X] = 1/2

E(X^2) = 4/5

The expectation of X is given by:

E[X] = Σ(x * P(X = x))

For X = 0, we have:

0 * P(X = 0) + 1 * P(X = 1) + 2 * P(X = 2) = 1/2

This equation can be rewritten as:

P(X = 1) + 2 * P(X = 2) = 1/2

Similarly, the expectation of X^2 is given by:

E(X^2) = Σ(x^2 * P(X = x))

For X = 0, we have:

0^2 * P(X = 0) + 1^2 * P(X = 1) + 2^2 * P(X = 2) = 4/5

Simplifying, we get:

P(X = 1) + 4 * P(X = 2) = 4/5

We now have a system of two equations with two unknowns:

P(X = 1) + 2 * P(X = 2) = 1/2

P(X = 1) + 4 * P(X = 2) = 4/5

Solving this system of equations, we can find the values of P(X = 1) and P(X = 2).

Multiplying the first equation by 2, we get:

2 * P(X = 1) + 4 * P(X = 2) = 1

Subtracting the second equation from this, we have:

(2 * P(X = 1) + 4 * P(X = 2)) - (P(X = 1) + 4 * P(X = 2)) = 1 - 4/5

P(X = 1) = 1 - 4/5

P(X = 1) = 1/5

Substituting this back into the first equation, we find:

1/5 + 2 * P(X = 2) = 1/2

2 * P(X = 2) = 1/2 - 1/5

2 * P(X = 2) = 5/10 - 2/10

2 * P(X = 2) = 3/10

P(X = 2) = (3/10) / 2

P(X = 2) = 3/20

Finally, since the probabilities must sum to 1, we have:

P(X = 0) = 1 - P(X = 1) - P(X = 2)

P(X = 0) = 1 - 1/5 - 3/20

P(X = 0) = 20/20 - 4/20 - 3/20

P(X = 0) = 13/20

Therefore, the probability mass function (PMF) for X is:

P(X = 0) = 13/20

P(X = 1) = 1/5

P(X = 2) = 3/20

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Similarities between binary and decimal systems -

What is meant binary number?

Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.

What is decimal in number system?

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Answer:

You buy the following from Best Buy:

1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20

What is the Subtotal:

You use your Elite Members Best Buy credit card to save 6%, how much do you save:

What is the new Subtotal: $

Sales tax is 5%: $

What is the total: $

Step-by-step explanation:

Answer:

D) blue

Step-by-step explanation:

because the first ball has to be blue

the second ball is green

the third is red

and the fourth one is yellow

so u multiply 1(blue ball)× 2021=blue ball

Answer:

Step-by-step explanation:

are the what???

Answer:

Raoul is correct

Step-by-step explanation:

Given

See attachment for missing details

Required

Determine if Raoul is correct or not

The initial value of both functions is when \(x = 0\)

For function A (the graph)

\(y = 0\) when \(x = 0\)

So, the initial value of the function A is 0

For function B (the table)

\(y = 3\) when \(x = 0\)

So, the initial value of the function B is 3

We can then conclude that Raoul is correct because 3 is greater than 0

The number of drinks that will be sold for 10 games is 1635 drinks.

The basketball concession stand sold 327 drinks in two games

2 games = 327 drinks

using unitary method

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

1 game = 327/2

1 game = 163.5 drinks

Number of drinks that will be sold for 10 games

10 games = 10 × 1 game

10 games = 10 ×  163.5

10 games = 1635 drinks

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Answer:

{-1, 4}

Step-by-step explanation:

In the given f(x) = -1/2x^2 + 3/2x - 2

set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:

f(x) = -1/2x^2 + 3/2x - 2 = 0  =>  1x^2 - 3x - 4 = 0  

This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}.  These are the zeros.

The  ordered pairs are possible solutions to the following inequality is (10, 1) & (-8,-10).

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. That is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

Finding the inequality, we obtain:

For pair ( 10,1)

1 < (\(\frac{1}{2}\)×10) - 3

1 < 2

This is possible solution.

For pair ( -8,-10)

-10<(\(\frac{1}{2}\)×-8)-3

-10<-7

This is possible solution.

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Answer:

Step-by-step explanation:

To convert degrees to radians, we can use the following formula:

Then, for 35 degrees:

Answer:

A.

Step-by-step explanation:

Took it on Edge2020 :)

\(3x+2y=3\), \(6x+4y=6\) system of equations is consistent and dependent.

Option A is correct

System of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

If \(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} }=\frac{c_{1} }{c_{2} }\) then the lines coincides and the pair of equations is dependent and consistent.

If \(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} }\neq\frac{c_{1} }{c_{2} }\) then the pair of linear equations in two variables is said to be inconsistent.

If \(\frac{a_{1} }{a_{2} } \neq\frac{b_{1} }{b_{2} }\) then the pair of linear equations in two variables is said to be consistent.

System 1 :

\(3x+2y=3\)-----------1

\(6x+4y=6\) ---------- 2

\(\frac{3}{6} =\frac{2}{4} =\frac{3}{6}\)

⇒ \(\frac{1}{2} =\frac{1}{2} =\frac{1}{2}\)

If \(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} }=\frac{c_{1} }{c_{2} }\) then the lines coincides and the pair of equations is dependent and consistent.

The system of equations is dependent and consistent

System 2 :

\(4x+ 6y= 2\\\\4x+6y=1\)

\(\frac{4}{4} =\frac{6}{6} =\frac{2}{1}\)

⇒ 1 = 1 ≠ 2

If \(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} }\neq\frac{c_{1} }{c_{2} }\) then the pair of linear equations in two variables is said to be inconsistent.

The system of equations is inconsistent.

System 3 :

\(2x+3y=-6\\\\2x+3y=-12\)

\(\frac{2}{2} =\frac{3}{3} =\frac{-6}{-12}\)

1 = 1 ≠ -2

If \(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} }\neq\frac{c_{1} }{c_{2} }\) then the pair of linear equations in two variables is said to be inconsistent.

The system of equations is inconsistent.

System 4 :

\(5x+4y=-30\\\\3x-9y=-18\)

\(\frac{5}{3} =\frac{4}{-9} =\frac{-30}{-18}\)

If \(\frac{a_{1} }{a_{2} } \neq\frac{b_{1} }{b_{2} }\) then the pair of linear equations in two variables is said to be consistent.

The system of equations is consistent.

Hence, \(3x+2y=3\), \(6x+4y=6\) system of equations is consistent and dependent.

Option A is correct.

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Answer:

76%

Step-by-step explanation:

number of girls is 6

number of boys is 25-6=19

percentage of boys = number of boys ÷ total no of students * 100

so... (19÷25)*100=76%

Answer:

98.9

Step-by-step explanation:

23x4.3=98.9 hours

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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We get PQR≅ ABC by using the Pythagorean theorem. Consequently, we would have: ∠ACB = ∠PRQ = 90°.

According to the Pythagorean Theorem, the square of a right triangle's longest side (hypotenuse) is always equal to the sum of the squares of its other two sides (legs).

Knowing that PQR is a right triangle, the following follows:

x² + y² = PQ²

Additionally, we are informed that x² + y² = PQ² , therefore by substitution, we get  \(Z^{2} = PQ^{2}\) Both triangles have corresponding congruent sides since  , ΔPQR ≅ΔABC.

We can deduce the following from the congruent triangles' corresponding parts: ΔACB = ΔPRQ = 90°.

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The number of unique ways to complete a quiz with 5 questions and 4 possible answers to each question is \(4^5\), or 1024.

This can be calculated using exponential notation, which states that a number raised to the power of another number is equal to the number multiplied by itself that many times. In this case, 4 to the power of 5 is equal to 4 x 4 x 4 x 4 x 4, or 1024.

In other words, the number of unique ways to answer a quiz with 5 questions and 4 possible answers to each question is equal to 4 multiplied by itself 5 times. This can also be written using the exponential notation as \(4^5\). There are 1024 unique ways to complete a quiz with 5 questions and 4 possible answers to each question.

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The approximate error in the predicted price per bushel of soybeans is approximately -0.1 dollars per bushel.

To approximate the corresponding error in the predicted price per bushel of soybeans, we can use differentials. Given that the quantity demanded per year is x = 2.1 billion bushels and there is a possible error of 10% in the forecast, we need to determine the corresponding error in the predicted price per bushel.

First, let's calculate the predicted price per bushel based on the demand equation:

p = f(x) = 53/(2x^2) + 1

Substituting x = 2.1 billion bushels into the equation:

p = 53/(2(2.1)^2) + 1

Calculating the predicted price per bushel:

p ≈ 5.6746 dollars per bushel

Next, let's calculate the differential of the demand equation:

df(x) = f'(x) dx

Where f'(x) is the derivative of f(x) with respect to x, which we can find by differentiating the demand equation:

f(x) = 53/(2x^2) + 1

Taking the derivative:

f'(x) = -53/(x^3)

Now, we can calculate the error in the predicted price per bushel by considering the possible error in the quantity demanded:

dx = 0.1x

Substituting x = 2.1 billion bushels and dx = 0.1(2.1) billion bushels:

dx ≈ 0.21 billion bushels

Finally, we can use the differential to approximate the corresponding error in the predicted price per bushel:

dp ≈ f'(x) dx

dp ≈ (-53/(x^3)) (0.21)

Substituting x = 2.1 billion bushels:

dp ≈ (-53/(2.1^3)) (0.21)

Calculating the approximate error in the predicted price per bushel:

dp ≈ -0.1038 dollars per bushel

The conclusion of this topic is that by using differentials, we can approximate the corresponding error in the predicted price per bushel of soybeans based on the forecasted harvest quantity. In this case, the demand equation for soybeans, along with the forecasted harvest of 2.1 billion bushels with a possible error of 10%, allows us to calculate the approximate error in the predicted price.

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Without more information about the dimensions of the matrices involved, it is not possible to determine the values for the elements of the matrix z that represents the total text messages sent by sophomores, juniors, and seniors for a week using the matrix equation z = xy.

In general, the product of two matrices A and B is defined only if the number of columns in A is equal to the number of rows in B. If the dimensions of A are m x n, and the dimensions of B are n x p, then the resulting matrix C = AB will have dimensions m x p.

Therefore, we need to know the dimensions of the matrices x and y in order to determine the dimensions and values of the matrix z. Once we know the dimensions of x and y, we can use the matrix multiplication algorithm to calculate the elements of z.

Without this information, we cannot determine the values for the elements of the matrix z.

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