The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 897 suspected criminals is drawn. Of these people, 322 were captured. Using the data, construct the 95% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.

Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions

The inverse of a function is a function that can reverse into another function.

If we have function f and g, and f f(x) = y, then g is the inverse of f if and only if g(y) = x

Also, if f is a function f⁻¹ is the inverse of x and ff⁻¹(x) = f⁻¹f(x) = x

Given the functions m(x) = x³ - 5 and n(x) = ∛(x + 5)

If m(x) and n(x) are inverse, then m(n(x)) = n(m(x)) = x

So, we proceed as follows

m(x) = x³ - 5

m(n(x)) = (∛(x + 5))³ - 5

m(n(x)) = x + 5 - 5

m(n(x)) = x + 0

m(n(x)) = x

Also,

n(x) = ∛(x + 5)

n(m(x)) = ∛(x³ - 5 + 5)

n(m(x)) = ∛(x³ - 0)

n(m(x)) = ∛(x³)

n(m(x)) = x

Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions

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Answer:

Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add

C=100 3X=30 IV=4

100+30+4=134

CXXXIV=134

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Answer:

I think its C

Step-by-step explanation:

Answer: : Instead of trying to solve that problem, state a simpler Ten people are being problem and solve it instead. honored for their work in reducing pollution. In how many ways can we line up these people for a picture? Which of the following is & simpler version of the given problem? In how many ways can ten people be selected from group of fifteen people? In how many - ways can three people be selected from group of ten people? In how many ways can three people be lined up for a picture? how many ways can fifteen people be lined Up for a picture What is the solution to this simpler problem? waj: ~Fe 7 ( andanen cick Check Answ

(a) 6/245 is the probability that you and your friend joe are among the chosen.

(b) 68/245 the probability that you or your friend joe are among the chosen.

Q5. 0.5372 is the probability that i have chosen bag 1.

(a) The probability of you being chosen is 15/50, or 3/10.

Once you are chosen, there are 49 students left in the class, including Joe. The probability of Joe being chosen from the remaining 49 students is 14/49.

So the probability of both you and Joe being chosen is:

(3/10) x (14/49) = 6/245

(b) The probability of either you or Joe being chosen is the probability of you being chosen plus the probability of Joe being chosen, minus the probability of both of you being chosen (because we don't want to count that twice):

(3/10) + (14/49) - (6/245) = 68/245

Q.5

Let A be the event that bag 1 is chosen and B be the event that exactly 2 red marbles are chosen.

We want to find P(A|B), the probability that bag 1 is chosen given that exactly 2 red marbles are chosen.

Using Bayes' theorem, we have:

P(A|B) = P(B|A) x P(A) / P(B)

P(A) is the probability of choosing bag 1, which is 1/2.

P(B|A) is the probability of getting exactly 2 red marbles given that bag 1 is chosen.

This can be calculated using the hypergeometric distribution:

P(B|A) = (10 choose 3) x (6 choose 2) / (16 choose 5) = 0.2616

P(B) is the overall probability of getting exactly 2 red marbles, which can be found by using the law of total probability:

P(B) = P(B|A) x P(A) + P(B|not A) x P(not A)

where P(not A) = 1 - P(A) = 1/2.

P(B|not A) is the probability of getting exactly 2 red marbles given that bag 2 is chosen.

This can also be calculated using the hypergeometric distribution:

P(B|not A) = (15 choose 3) x (6 choose 2) / (21 choose 5) = 0.2249

So we have:

P(B) = 0.2616 x 1/2 + 0.2249 x 1/2 = 0.2432

Finally, we can plug all of these values into Bayes' theorem to find P(A|B):

P(A|B) = 0.2616 x 1/2 / 0.2432 = 0.5372

So, the probability that bag 1 was chosen given that exactly 2 red marbles were chosen is approximately 0.5372.

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The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.

To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.

First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:

2x * (y^2) + 2y * (2xy * dy/dx) = 0

Simplifying the equation, we have:

2xy^2 + 4xy(dy/dx) = 0

Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:

2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0

Simplifying further:

8 + 8(dy/dx) = 0

8(dy/dx) = -8

dy/dx = -1

We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.

Using the point-slope form of a line, we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:

y - (-2) = -1(x - (-1))

y + 2 = -1(x + 1)

y + 2 = -x - 1

y = -x - 3

Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.

To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.

Using the point-slope form of a line again, we can write the equation of the normal line as:

y - y₁ = m'(x - x₁)

Substituting the values of (-1,-2) and m' = 1 into the equation, we have:

y - (-2) = 1(x - (-1))

y + 2 = x + 1

y = x - 1

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El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

its samanthas ocupation

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I just took the test and i got this question right with that answer.

The depreciation expense per mile for the truck is $0.29 per mile.

A depreciation expense refers to the amount that a company's assets are depreciated for a single period.

Given that:

Delivery truck cost = $33,000

Expected salvage value = $1,680

Estimated total miles = 108,000.

Depreciation rate per mile = (Cost - Salvage value) / Estimated total miles

Depreciation rate per mile = ($33,000 - $1,680) / 108,000 miles

Depreciation rate per mile = $31,320 / 108,000 miles

Depreciation rate per mile = $0.29 per mile

Full question:

Calculate depreciation expense per mile under units-of-activity method Sarasota Company purchased a delivery truck for $33,000 on January 1, 2020. The truck has an expected salvage value of $1,680, and is expected to be driven 108,000 miles over its estimated useful life of 10 years. Actual miles driven were 16,000 in 2020 and 11,300 in 2021.

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13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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Answer:

14.6 units

Step-by-step explanation:

AB = \(\sqrt{(1-3)^2+(3-5)^2}\)

AB =\(\sqrt{8}\)

BC = \(\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}\)

CD = \(\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}\)

DA = \(\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}\)

Primeter = \(\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6\)

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

The transaction price for Ayayai's product and the customer loyalty points are $92500 and 37000 points respectively.

Based on the information provided about Ayayai inc., the transaction price for their product and the customer loyalty points would be allocated as follows:

                                            SSP            PA              TTP                    AA____

Product purchases       $370,000       80%         $370,000         $296,000

Loyalty points               $92,500*       20%         $370,000         $74,000__

                                      $462,500                                                 $370,000

*37,000 × 2.50 = $92,500

Note:

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Answer:

the answer to your question is 21721

Answer:

1. 23 pull ups per minute

Step-by-step explanation:

dude its like 2nd grade math

A WHOLE pargraph  or just a a eqaution

The second difference of the given number table is: Option A: -2

The second difference method can be used to determine a quadratic model.  In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.

Thus, Applying the second difference concept to our problem, we have:

First difference:

-4 - (-9) = 5

-1 - (-4) = 3

Thus, second difference is:

3 - 5 = -2

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

From given graph we can see that

At x=2, the function in the graph is approaches to infinity.

It means function is not defined at x=2

We know that a rational function is undefined when denominator is equal to zero.

For equation 1:

f(x)= 2(x+2)/(x-2)

Equating the denominator:

x-2=0

x=2

It means function is not defined at x=2

The y-intercept is: y= -2

The function is passing through the point (1,-6).

When we substitute x=1

Hence, option 1 is true.

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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The required slope of WZ is 3/2 for the given situation.

Since WXYZ is a rectangle, WZ is perpendicular to XY, and the slope of WZ is the negative reciprocal of the slope of XY.

The slope of the line is defined as the angle of the line. It is denoted by m

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The slope of XY is:

m = (y₂ - y₁)/(x₂ -x₁ ) = (-7 - (-5))/(-1 - (-4)) = -2/3

The negative reciprocal of -2/3 is:

-1/(-2/3) = 3/2

Therefore, the slope of WZ is 3/2.

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Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

Answer:

The answer is 42.

Step-by-step explanation:

5n - 13 = 42

5n = 42 + 13

5n = 55

n = 11

explanation about the solution = The angles formed by the segments measuring 42 and 5n - 13 are equal in measure which means the segments are as well.

The full expression is 6n+1. We can find the solution of the given sequence in the following manner.

First take the differences: 13–7 = 19–13 = 25–19 = 31–25 = 6. So, we know there is a 6n in the expression. Then subtract 6n from each term: 7–6 = 13–12 = 19–18 = 25–24 = 31–30 = 1.

Reduce the size, number, or amount of something else by taking (something) away from it is called subtraction. Subtraction is the activity or procedure of determining the difference between two amounts or numbers. The phrase "taking away one number from another" is also used to describe the act of subtracting one number from another. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process since it is the number from which we subtract another integer in a subtraction phrase.

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Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

Answer:

what the expression, lmk in comments and then i will help you :)

Step-by-step explanation:

The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).

Given that,

The following information was discovered after applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).

y=12+1.8x

n=17

SSR=225

SSE=75

S₀₁=0.2683

We have to find what is the t statistic used to determine whether the slope is significant.

We know that,

Given by, the t test is used to determine whether the slope is significant.

t= b1/s.e

Where b1= slope of the given regression line

s.e= standard error of the line ( Sb1)= 0.2683

The regression line is given by

Y=12+1.8X

X is the independent variable here, and Y is the dependent variable.

Intercept = 12

Slope = 1.8

The t test is used to determine whether the slope is significant.

t= b1/s.e=1.8/0.2683= 6.7089=6.709

Therefore, The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).

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