38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ (a) exactly​ three, (b) at least​ four, (c) less than eight.

The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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Answer:

In 1997, the baseball card would be worth $7.46 + $2.52 = $9.98.

In 1998, the baseball card would be worth $9.98 + $2.52 = $12.50.

In 1999, the baseball card would be worth $12.50 + $2.52 = $15.02.

Step-by-step explanation:

In this problem, we are given the value of a baseball card in 1996, which is $7.46. We are also told that the value of the card increases by $2.52 each year since then. This means that in 1997, the value of the card increased by $2.52 compared to its value in 1996, so the value in 1997 would be $7.46 + $2.52 = $9.98. Similarly, in 1998, the value of the card increased by another $2.52 from its value in 1997, so the value in 1998 would be $9.98 + $2.52 = $12.50. In 1999, the value of the card increased by another $2.52 from its value in 1998, so the value in 1999 would be $12.50 + $2.52 = $15.02.

Answer:

A) -3

Step-by-step explanation:

To evaluate this mathematical expression, we must follow the following steps:

Perform the operation between parentheses: (0-1) = -1

Multiply the previous result by 2: -1 * 2 = -2

Add 1.5 to the previous result: -2 + 1.5 = -0.5

Therefore, the correct answer to the mathematical expression is A) -3.

Answer: The simplest way to find the rotation angle is to take the trace of the matrix, the sum of the diagonal elements.

Step-by-step explanation: step 1 Show that the determinant is 1. Matrices with determinant -1 are reflections no rotations.

step 2 Find the eigenvalues. The three eigenvalues of the matrix are 1,e−iθ, where θ is the angle of rotation.

step 3 find the eigenvector for the eigenvalue 1. This is the axis of rotation.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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Answer:

  -1 < x < 9

Step-by-step explanation:

Eliminate the outer absolute value symbol.

  -3 < |x -4| -2 < 3

Add 2

  -1 < |x -4| < 5

We know that no absolute value can be negative, so this is fully equivalent to ...

  |x -4| < 5

Eliminate the absolute value symbol.

  -5 < x -4 < 5

Add 4

  -1 < x < 9

___

For the graph, we graph the inequality ...

  ||x -4| -2| -3 < 0

The zero crossings are easy to find in this graphing calculator.

Answer:

Step-by-step explanation:

174/12= 14.5 hours of work to earn enough to buy the smartphone.

12x14.5 = 174

the answer could be 14.5 for the minimum amount of time needed but if it asks for full hours then 15 hours.

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6

x = 1/2

Answer:

1/5^3

Step-by-step explanation:

5 ^ -3 = 1 / 5^3 = 1 / 125

Answer:

y > - x - 4

Step-by-step explanation:

1) Find the equation of the line

2) The equation of the line is y = - x - 4

3) Identify where the graph is shaded

4) It is shaded above and to the right of the line

5) This means that it is more positive/ greater than the unshaded areas

6) Switch the = sign to > to signify the inequality

7) All done!

Step-by-step explanation:

the delimiter line is going through the points (-4, 0) and (0, -4).

the line function

y = mx + b

m is the slope of the line, b is the y-intercept (the y value when x = 0).

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to another.

so, for the 2 found points :

x changes by +4 (from -4 to 0)

y changes by -4 (from 0 to -4).

the slope m is then

-4/+4 = -1

and the y-intercept is -4 (as explained).

so, the line is

y = -x - 4

and the graphic says that all values greater than our equal to the line values are valid, so

y >= -x - 4

Answer:

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

Step-by-step explanation:

Explanation:-

Let "x" Scores are normally distributed

Given  mean of the Population = 460

standard deviation of the population = 80

Let X = 600

\(Z = \frac{x -mean}{S.D} = \frac{600-460}{80} =1.75\)

The probability that applicants would you expect to have scores of 600 or above

P( X≥600) = P( Z≥ 1.75)

                = 1- P( Z≤1.75)

               = 1- ( 0.5 + A(1.75)

              =  1- 0.5 - A(1.75)

              = 0.5 - 0.4599 (from Normal table)

              = 0.0401

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

Answer:

Based on the given conditions;

50÷(1-15℅)

=50/1-0.15

=50/0.85

=1000/17

The figure shows a graph of the function fx in the coordinate plane. f2 is greater than g2.

As the graph of function f(x) is a parabola, so that the equation of function f(x) is:

f(x) = \(ax^2+bx+c\)

As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)

=> f(0) = 8; f(-2) = 0; f(4) = 0

We have:

f(x=0) = a x 0 + b x 0 + c = 8  => c = 8

We have:

+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)

+) 16a + 4b + 8 = 0 (2)

We take (2) minus (1)

=> (16a + 4b + 8) - (8a - 4b + 16) = 0

=> 8a - 8 = 0 => a = 1

Replace a = 1 into (1)

=> 8 x 1 - 4b + 16 = 0 => b = 6

f (2) = 2^2 + 6 x 2 + 8 = 24

g (2) = 3 -2 + 2 = 3

Thus, f(2) is greater than g(2).

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The surface area is about 157.08 square feet. use formula for the surface area of a right cylinder  to get answer .

what is surface area ?

Surface area is the measure of the total area that the surface of a three-dimensional object occupies. In other words, it is the sum of the areas of all the faces or surfaces of the object. Surface area is usually measured in square units

In the given question,

The formula for the surface area of a right cylinder is:

S = 2πr² + 2πrh

where r is the radius of the cylinder, h is its height, and π is a mathematical constant approximately equal to 3.14159.

Substituting the given values, we get:

S = 2π(2.5)² + 2π(2.5)(7.5)

S ≈ 2π(6.25) + 2π(18.75)

S ≈ 39.27 + 117.81

S ≈ 157.08

Rounding this to the nearest hundredth, we get:

The surface area is about 157.08 square feet.

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The 427 is in the sets of the whole number, real number, rational number, natural number, and integers.

What is set?

A set is a collection of clearly - defined +ique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 427

The number 427 is in the set of whole numbers

The number 427 is in the set of real numbers

The number 427 is in the set of rational numbers because it can be written as in the form of p/q.

The number 427 is in the set of natural numbers

The number 427 is in the set of integer numbers

Hence, the 427 is in the sets of the whole number, real number, rational number, natural number, and integers.

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Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)

B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution

Step-by-step explanation:

Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)

B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution

The correct characterization of the limit distribution and other Questions are answered in the following steps.

For the first question, the distribution of (An-a) is approximated best by N(0, n) because the variance of the sample mean of i.i.d. standard normal variables is 1/n.

For the second question, since An converges in probability to a constant, Bn = 4An also converges in probability to 4a. Therefore, the sequence of random variables (Bn-b) does converge in distribution.

For the third question, the limit distribution of (Bn-b) is N(0, 4^2 * n) because the variance of the product of a random variable and a constant is the constant squared times the variance of the random variable.

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Answer: Quad IV

Step-by-step explanation:

Answer:

5 + 4 - (8 * 3 - 22)⁴ * 4 = -55

Step-by-step explanation:

5 + 4 - (8 * 3 - 22)⁴ * 4

Follow PEMDAS which states you need to do equations in the order of:

Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.

Knowing this, simplify inside the parenthesis by multiplying 8 and 3 first.

5 + 4 - (24 - 22)⁴ * 4

Now subtract 22 from 24 inside the parenthesis.

5 + 4 - (2)⁴ * 4

Since we are done with parenthesis, move on to the next part of PEMDAS which says to do exponents next. Take 2 to the power of 4.

5 + 4 - 16 * 4

Now that we are done with exponents, move on to the next part of PEMDAS which says to multiply/divide next. Multiply -16 and 4.

5 + 4 - 64

Now that we are done with multiplication/division, move on to the last part of PEMDAS which says to add/subtract. Add 5 and 4.

9 - 64

Finally, subtract 64 from 9 to get:

-55.

Answer:

8 hours

Step-by-step explanation:

23 + 3x = 5x + 7

     - 3x   -3x

23 = 2x + 7

-7          - 7

16 = 2x

16/2 = 2x/2

x = 8

Answer:

BillyBob got it right, well explained..

Step-by-step explanation:

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

No as hard as math is it’s a great feeling when you get that “OHH I GET IT” moment. And plus if your in school your kinda. Stuck with it anyway

Step-by-step explanation:

Answer:

2( 100%) +75%

Step-by-step explanation:

a full box will literally be 100%, so two full boxes will be 2 × a full ie 100%, 'and' a box ie 75% full is addition '+'

Answer: i can give you tips of how to find the area of a polygon.

OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

Step-by-step explanation:

And you have to add all the sides of the lengths of the sum of the polygon

Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.

Also if those number of tickets were sold, the amount realized would be $3,054.

The total amount raised can be found as:

= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)

Assuming the adult tickets are x and the children's tickets are y, the equation would be:

= (x × 8) + (y × 3)

= 8x + 3y

If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:

= 8x + 3y

= (8 x 240) + (3 x 378)

= $3,054

In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.

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Answer:

B. cos(ln(2x))/x

Step-by-step explanation:

We know that the inverse of sin is cosine. Note, arcsin means the same thing as inverse sin:

              Because sin (a) = sin (b) --> a = arcsin (b)

              Subsitute y = x