a poll showed that 53.6% of americans say they believe that some psychics can help solve murder cases. what is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.

Using Stoke's Theorem, the value of C F · dr is 4π.

Using Stokes' theorem, we can evaluate C F · dr by computing the curl of F and integrating it over the surface bounded by C.

First, we calculate the curl of F:

curl(F) = (∂Q/∂y - ∂P/∂z) i + (∂R/∂z - ∂P/∂x) j + (∂P/∂y - ∂Q/∂x) k

where F = P i + Q j + R k

Substituting the given values of F, we get:

curl(F) = 0i + (-12x²) j + (8e^z/(1+z²)) k

Next, we need to parameterize the surface bounded by C. Since C is a closed curve, it bounds a disk in the xy-plane. We can use the parameterization:

r(u,v) = cos(u) i + sin(u) j + v k, where 0 ≤ u ≤ 2π and 0 ≤ v ≤ sin(u)

Then, we can apply Stokes' theorem:

C F · dr = ∬S curl(F) · dS

= ∫∫ curl(F) · (ru x rv) du dv

\(= \int\int (-12cos(u) sin(u)) (i x j) + (8e^{sin(u)/(1+sin(u)^2)}) (i x j) + 0 (i \times j) du \ dv\)

\(= \int \int (-12cos(u) sin(u) + 8e^{sin(u)/(1+sin(u)^2)}) k\ du\ dv\)

\(= \int 0^{2\pi} \int 0^{sin(u) (-12cos(u) sin(u)} + 8e^{sin(u)/(1+sin(u)^2)})\ dv \ du\)

= 4π

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Answer:  The choice will be any equation where the slope is the same and the y-intercept is different.

\(y=\frac{5}{6}x + b\)

Step-by-step explanation:  Using slope-intercept form, y = mx + b,

m is the slope, b is the y-intercept.

Parallel lines will have the same slope.

So, you are looking for another equation that has 5/6 as the coefficient of x.

It could be an equation in the form 6y + 5x = _b_ where the constant, b, could be anything except -42, as that would be an identical line, not parallel.

Answer:

NO

Step-by-step explanation:

Answer:

Actually it is. Think of it as a standard math. It is not at all hard. AP MAth is very hard because it's a ton of stuff and a whole bunch of maybe even college assignments. I would know because i  was one in honors but now in AP. Trust me when i ay that i fool around in clas and still get an A.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle.

So, there are 54,264 different strings of six hexadecimal digits that do not have any repeated digits.

To determine the number of strings of six hexadecimal digits without any repeated digits, we can consider each digit position separately.

For the first digit, we have 16 choices (0-9 and A-F).

For the second digit, we have 15 choices remaining (excluding the digit already chosen for the first position).

Similarly, for the third digit, we have 14 choices remaining, and so on.

Therefore, the total number of strings of six hexadecimal digits without any repeated digits can be calculated as:

16 * 15 * 14 * 13 * 12 * 11 = 54,264

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Answer: The CORRECT answer is

a=1, b=8, c=6

Step-by-step explanation:

Took the quiz

The values that can be use for a, b and c in the equation 2x² + 7x − 5 = 0 are a = 1, b = 8, c = 6

The quadratic equation formula is represented as follows:

ax² + bx + c

where

Therefore, lets model the quadratic equation x² + 8x + 6 = 0 to ax² + bx + c

Hence,

a = 1

b = 8

c = 6

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The sum of x and 9.4 will be x + 9.4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Let's say that number is x

Saying sum x with 9.4 means we need to add x and 9.4

So,

⇒ x + 9.4

Hence "The sum of x and 9.4 will be x + 9.4".

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Answer:

1.(x - 4) (x - 3)

2.(x + 4) (x + 15)

3.(x - 3) (x + 8)

Step-by-step explanation:

1. x^2 - 7x + 12:

To solve find two factors that multiplies to 12 and adds up to -7

so two factors of 12 which add up to -7 are: -3 and -4

cause -3 x -4 is 12 and -3 + -4 is -7 we can factor using those two numbers.

then we split our -7x into two terms joining our two factors -3 and -4 with a variable which gives -3x - 4x. once we have done that we can then factorize by grouping.

x^2 - 3x - 4x + 12

(x^2 - 3x) - (4x + 12)

we then find the h.c.f of each group of terms and we can factor.

x(x - 3) - 4(x - 3) = (x - 4) (x - 3)

now we can follow the same procedure to solve the other problems or factorize.

2.x^2 + 19x + 60

let's try to find pairs of factors which multiply to 60.

60 = (5, 12), (6, 10), (15, 4)

once we find a pair of factors which adds to 19 which the pair is (15, 4)

we split the 19x again so we can get a four term expression:

x^2 + 15x + 4x + 60

let's group

(x^2 + 15x) + (4x + 60)

hcf and factorize

x(x + 15) + 4(x + 15)

now factorize completely

(x + 4)(x + 15)

3.x^2 + 5x - 24

pairs of factors of -24: (6, -4), (8, -3), (12, -2)

pair which adds to 5: (8, -3)

x^2 + 8x - 3x - 24

(x^2 + 8x) - (3x - 24)

HCF and Factorize completely.

x(x + 8) -3(x + 8) = (x - 3)(x + 8)

The solution of the expression 1/4 + 1/2 ÷ 2/3 ÷ 3/5 is 1 1/2

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

1/4 + 1/2 ÷ 2/3 ÷ 3/5

Express the quotient as a product

So, we have

1/4 + 1/2 ÷ 2/3 ÷ 3/5 = 1/4 + 1/2 x 3/2 ÷ 3/5

Evaluate the product

So, we have

1/4 + 1/2 ÷ 2/3 ÷ 3/5 = 1/4 + 3/4 ÷ 3/5

Express the quotient as a product

So, we have

1/4 + 1/2 ÷ 2/3 ÷ 3/5 = 1/4 + 3/4 x 5/3

Evaluate the product

So, we have

1/4 + 1/2 ÷ 2/3 ÷ 3/5 = 1/4 + 5/4

Evaluate the sum

So, we have

1/4 + 1/2 ÷ 2/3 ÷ 3/5 = 6/4

Simplify

1/4 + 1/2 ÷ 2/3 ÷ 3/5 = 1 1/2

Hence, the solution of the expression 1/4 + 1/2 ÷ 2/3 ÷ 3/5 is 1 1/2

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Answer:

5.) Associative Law

6.) Commutative Law

7.) Distributive Law

8.) Associative Law

9.) Distributive Law

10.)

Step-by-step explanation:

The associative law means that if all the arithmetic operations in an equation are the same, the position of the brackets do not matter and no matter which variables are associated, the result would still be the same.

The commutative law means that if all the arithmetic operations in an equation are the same, the position of the variables do not matter and no matter what order the variables are placed, the result would still be the same.

The distributive law means that whatever is outside of the bracket has to be multiplied into the variables in the bracket evenly. E.g. 1/4 (8x - 20) involves multiplying both 8x by 1/4 and 20 by 1/4.

Answer:

Step-by-step explanation:

30×60×90 right triangle has side ratios as:

45×45×90 right triangle has side ratios as:

If you know one of the sides its easy to find the missing ones.

a) 30×60×90 right triangle

b) 45×45×90 right triangle

c)  30×60×90 right triangle

By applying total cost concept, it can be concluded that the expression represents the total cost is 1.45d (option A).

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

It is usually used to solve a problem in various fields of study, such as chemistry, biology, economics, and so on.

One of the most familiar uses of algebra is how to calculate the total cost:

Total cost = n x p , where:

n = number of products

p = product price per piece

We know that Jim is going to buy donuts for his family:

p = $1.45

n = d

So the total cost can be calculated by multiplying 1.45 by d, which equals 1.45d.

Thus the expression represents the total cost is 1.45d (option A).

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The year it will take Mussman to reach a population of 27,000 resident is 10.7 years

Population growth is the increase in the number of people in a population or dispersed group.

We use exponential function when calculating increase in population per time

p(t) =p(o) e^kt

27000 = 13500 e^0.065t

e^0.065t = 27000/13500

0.065t = ln 2

0.065t = 0.693

t = 0.693/0.065

t = 10.7 years

therefore it will take 10.7years for the resident of Mussman to reach a population of 27000

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Answer: it’s hamburger

Step-by-step explanation:

Just kidding it’s c

This inequality will intersect x axis at -2 and y axis at 100.

An inequality in the algebra is called mathematical statement that employs the inequality symbol to represent how two expressions relate to one another. The data on each side of an inequality symbol are nonequal. Relation  between two algebraic expressions that are represented by the inequality symbols are known as literal inequalities.

"A limk is referred an inequality if two real numbers  are connected by the symbols ">," "," "," or "."

Example: 3≤x<8 ( x is greater than or equal to 3 and less than 8)

y<50x+100

For x=0;

y<100

For y=0;

x>-2

The graph of the inequality is attached below:

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

B, no, yes, no, no, no, 225

Step-by-step explanation:

If you are trying to determine if an input variable may affect your key characteristic (output variable) by examining the

correlation between variables, you should use the tool: D. Scatter plot diagram. therefore, option D.Scatter plot

diagram is correct.

A scatter plot diagram is a graphical representation of the relationship between two variables. It can help you visualize

the correlation between the input and output variables, making it easier to determine if there is a potential cause-and-

effect relationship.

The tool that you should use to examine the correlation between variables is D. Scatter plot diagram.

A scatter plot diagram is a graphical representation that displays the relationship between two variables.

The x-axis represents the input variable, while the y-axis represents the output variable.

By plotting the data points on the scatter plot diagram, you can visually analyze the correlation between the variables.

If there is a strong positive or negative correlation between the variables, it suggests that the input variable may affect

the key characteristic (output variable).

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D. Scatter plot diagram is the tool that should be used to examine the correlation between variables to determine if an input variable may affect your key characteristic (output variable).

The scatter plot diagram is a graphical representation that displays the relationship between two variables, and it is commonly used to identify patterns, trends, and correlations between variables. By examining the scatter plot diagram, you can determine whether there is a positive, negative, or no correlation between the variables, which can help you to identify potential cause-and-effect relationships.
 To determine if an input variable may affect your key characteristic (output variable) by examining the correlation between variables, you should use:

A scatter plot diagram is a graphical tool that helps visualize the relationship between two variables, allowing you to identify any correlation between the input and output variables.

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The standard error of the sample proportion of patients with high BMD is approximately 0.0834.

The standard error of the sample proportion of patients with high bone mineral density (BMD) can be calculated using the formula:

SE = sqrt((p * (1 - p)) / n)

In this case, the sample size (n) is 30, and the proportion of patients with high BMD in the population (p) is 147/622.

In summary, the standard error of the sample proportion of patients with high BMD can be found by calculating the square root of the product of the proportion and its complement divided by the sample size.

To explain the answer, let's plug in the values into the formula:

p = 147/622 ≈ 0.2363

n = 30

SE = sqrt((0.2363 * (1 - 0.2363)) / 30) ≈ 0.0834

Therefore, the standard error of the sample proportion of patients with high BMD is approximately 0.0834.

The standard error represents the variability or uncertainty in the sample proportion compared to the true proportion in the population. A smaller standard error indicates less variability and provides more confidence in the estimate of the population proportion.

In this case, a standard error of 0.0834 suggests that the sample proportion of patients with high BMD may vary by about 8.34% from the true proportion in the population.

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The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.

According to the given question.

The total number of elements, n = 3

The number of elements to be selected at a time when repetition is  allowed, r = 5

Since, we know that " the number of ways or permutations of n things taken r all at a time, when repetition of things are allowed, is \(n^{r}\).

Therefore,

The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed

= \(3^{5}\)

= 243

Hence, the number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.

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Answer:

Mean: 20

Median: 16

Mode: No mode

Step-by-step explanation:

For the mean:

44 + 4 + 27 + 5 = 80

80/4 = 20

For the median:

5 + 27 = 32

32/2 = 16

For the mode:
None of the numbers are repeated.

Since the coins are identical and lined up in a row, the distance between the centers of adjacent coins must be equal to the sum of their radii. Let r be the radius of one of these circular coins. Then, the distance between the centers of adjacent coins is 2r.

According to the problem, the distance between the centers of the first and third coins is 3.2 centimeters. This can be expressed as the sum of the distance between the first and second coins and the distance between the second and third coins:

3.2 = 2r + 2r

Simplifying:

3.2 = 4r

Dividing both sides by 4:

r = 0.8 centimeters

Therefore, the radius of one of these circular coins is 0.8 centimeters.
Let's call the radius of one of these circular coins "r". Since the coins are identical and lined up in a row, the distance between the centers of the first and third coins is equal to the sum of the diameters of the first two coins.

Step 1: Write the equation representing the relationship between the radius and the distance between the centers of the first and third coins:
2r (diameter of the first coin) + 2r (diameter of the second coin) = 3.2 cm

Step 2: Combine the terms on the left side of the equation:
4r = 3.2 cm

Step 3: Solve for the radius "r":
r = 3.2 cm / 4
r = 0.8 cm

The radius of one of these circular coins is 0.8 centimeters.

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Answer:

Here OP bisect ∠BOC

∴∠POC=∠BOP …………(i)

and OQ bisect ∠AOC

∴∠AOQ=∠COQ …………….(ii)

and ∠AOB=180

o

[∵AOB is a straight line]

⇒∠BOP+∠DOC+∠COQ+∠AOQ=180

o

⇒∠POC+∠POC+∠COQ+∠COQ=180

o

[using (i) & (ii)]

⇒2∠POC+2∠COQ=480

o

⇒2(∠POC+∠COQ)=180

o

⇒2∠POQ=180

o

⇒∠POQ=90

o

.

Answer:

x = 8, y = -7

in coordinate form: (8,-7)

Step-by-step explanation:

first, find x using the second equation:

x - 9 = -1

add 9 to both sides of the equation

x - 9 + 9 = - 1 + 9

x = -1 + 9

x = 8

next, substitute x for 8 in the first equation:

2x - y = 23

2 * 8 - y = 23

16 - y = 23

16 - y + y = 23 + y

16 = 23 + y

16 - 23 = y

y = -7

also, I had this exact question on an assignment earlier today ahah

Evan can play 2 games of mini golf and 9 games of kart track.

Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,

He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.

We need to find how many games he played of both the games,

So, let he played x games of kart track and y games of mini golf,

So,

x + y = 11

x = 11 - y.............(i)

10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]

Use the equation i in ii,

So,

10(11-y) + 45y = 180

110 - 10y + 45y = 180

35y = 70

y = 2

Put y = 2 in equation 1,

x = 11-2

x = 9

Hence he played 2 games of mini golf and 9 games of kart track.

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Answer:

Slope=1

Step-by-step explanation:

True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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To find the surface area of the triangular prism, we need to find the area of each face and add them up.

The triangular face has a base of 32 feet and a height of 30 feet, so its area is:

(1/2) * base * height = (1/2) * 32 * 30 = 480 square feet.

There are two identical rectangular faces, each with a length of 37 feet and a width equal to the height of the triangular face, which is 30 feet. So, the area of each rectangular face is:

length * width = 37 * 30 = 1110 square feet.

Therefore, the total surface area of the triangular prism is:

2 * area of rectangular face + area of triangular face

= 2 * 1110 + 480

= 2700 square feet.

So, the surface area of the triangular prism is 2700 square feet.

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Answer:

The answer is 1800!

Step-by-step explanation:

Answer:

B. 1800 degrees.

Step-by-step explanation:

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