a radio program has a quiz consisting of 3 multiple-choice questions, each with 3 choices. a contestant wins if he or she gets 2 or more of the questions right. the contestant answers randomly to each question. what is the probability of winning?

The perimeter of scale drawing of rectangular classroom floor is 42 inches.

Based on the mentioned information, let us first calculate the width of floor of classroom according to the scale drawing.

Length/width of original classroom floor = length/width of scale drawing

30/33 = 10/width

As we know, 1 foot = 12 inches

So, length = 360 inches and width = 396 inches

Width = (396 × 10)/360

Cancelling zero as it is common in both numerator and denominator

Width = 396/36

Performing division on Right Hand Side of the equation

Width = 11 inches

Perimeter of scale drawing = 2 (length + width)

Perimeter = 2( 10 + 11)

Performing addition

Perimeter = 2 × 21

Performing multiplication

Perimeter = 42 inches

Thus, perimeter of the rectangle is 42 inches.

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Answer:

Step-by-step explanation:

The volume of a cone can be calculated as (1/3)πr^2h, so we can set that equal to 43.98:

(1/3)πr^2h = 43.98

Dividing both sides by (1/3)π:

r^2h = 43.98 * 3 / π

Solving for one of the variables in terms of the other requires choosing specific values for either radius or height. Here are two examples:

Example 1: Let's say r = 3.

Then

h = 43.98 * 3 / (π * 9) = 4.43

So one possible cone has height 4.43 and radius 3.

Example 2: Let's say h = 5.

Then

r^2 = 43.98 * 3 / (π * 5) = 25.51

So one possible cone has height 5 and radius 5.07.

Answer:

Step-by-step explanation:

Noah answered 16 questions and is informed that he's completed 80% of the survey.

To find t, you are given 16/t = 80% or 16/t = 0.8.

Switch t and 0.8 to get 16/0.8 or 16/80% to find t.

t = 20 questions.

A 95% confidence interval for the estimated proportion of Canadians who refused the H1N1 vaccination can be calculated as follows:

Let p be the true proportion of Canadians who refused the vaccination.

The sample proportion is estimated by:

p_hat = 700 / 1000 = 0.7

The standard error of the sample proportion is:

SE = sqrt(p_hat * (1 - p_hat) / 1000) = sqrt(0.7 * 0.3 / 1000) = 0.0247

Using a normal approximation and a z-score of 1.96 (corresponding to a 95% confidence level), the confidence interval can be calculated as:

p_hat +/- z * SE = 0.7 +/- 1.96 * 0.0247 = [0.6511, 0.7489]

So, with 95% confidence, we can estimate that the true proportion of Canadians who refused the H1N1 vaccination lies between 0.6511 and 0.7489.

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Answer:

5.2

Step-by-step explanation:

9×3 and the root of that is 5.1961524

The function d/dx (f/g) = 2 gives the value of c as -4.

The denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator, is how the Quotient Rule defines the derivative of a quotient.

Given:

f(x) = 1/2x and g(x) = 1/ (3x + c)

Using Quotient rule

d/ dx (f/g)

= g f' - f g- / g²

So, d/dx ( 3x+c / 2x )

= [3x -1(3x+c)] / 2x²

= -c/ 2x²

Now out x= 1

Also, d/dx (f/g)= 2

-c/ 2 = 2

c= -4.

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The probability that Nomusa will not take two of the same type of sweet is 0.35

To find the probability that Nomusa will not take two of the same type of sweets, we need to find the total number of combinations of two sweets she can take, and then find the number of combinations where the two sweets are different.

First, let's find the total number of combinations of two sweets:

C(30, 2) = 435

This means there are 435 different combinations of two sweets she can take from her collection of 30 sweets.

Next, let's find the number of combinations where the two sweets are not the same:

C(18, 2) + C(7, 2) + C(5, 2) = 153

This means that there are 153 combinations where the two sweets are different fruit sweets, different aniseed sweets, or different mint sweets.

So, the probability that Nomusa will not take two of the same type of sweet is:

153 / 435 = 0.35

This means that there is a 35% chance that the two sweets she takes will not be the same type of sweet.

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Answer:

-3

Step-by-step explanation:

-3×(-3)×(-3)= 9×(-3)

= -27

Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you see it.

The unit vector has a positive y component and is located in the xy plane at a 156 degree angle to the x axis. Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you visualise this. Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). This shows that the unit vector has both a positive y-component and a negative x-component. Since the unit vector's magnitude is 1, it has a length of 1, and it points in the same general direction as the 156-degree angle. In light of this, the unit vector is (-0.41, 0.91). Any vector with the same magnitude and direction as the unit vector but a different length can be represented by this vector.

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Answer:

MN = 15.5 units

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The triangles are similar since all three angles are equal on both.

We know corresponding sides of similar triangles are proportional.

Set up proportions and find the missing side length:

The probability of no two people having the same birthday at a dinner party with 25 people is 0.1389.

The probability of no two people having the same birthday is calculated using the Birthday Paradox. This paradox states that if there are n people gathered in a room, the probability that at least two people have the same birthday is 1 − (365/365) * (364/365) * (363/365) *...* ((365-n+1)/365).

For a dinner party with 25 people, the probability of no two people having the same birthday is 1 − (365/365) * (364/365) * (363/365) *...* (341/365) = 0.1389.

This means that there is a 13.89% chance that no two people at the dinner party have the same birthday. The probability of no two people having the same birthday at a dinner party with 25 people is 0.1389.

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A three-dimensional figure that is formed by the rotation given include the following: D. inverted-open cone.

In Mathematics, a rotation can be defined as a type of transformation which moves every point of the geometric figure through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Generally speaking, the rotation of a plane figure around a straight line (axis of revolution) is referred to as a solid of revolution.

In this scenario, a right triangle with a side that matches the axis is rotated with respect to its hypotenuse (axis of revolution or straight line), by an angle of 360 degrees and through the origin in order to form an inverted-open cone.

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Answer: Bottom Left Corner, No Shading on the base.

Step-by-step explanation: Took the test

In the given choices, both (D) n = 300 and (E) n = 312 satisfies the inequality. So for both these options, the inequality is true.

We can solve for n by adding 93 to both sides of the inequality:

n - 93 > 175

Adding 93 on both sides

n - 93 + 93 > 175 + 93

n > 268

Therefore, the value of n that makes the inequality true is greater than 268.In the given options, n = 300 and n = 312 satisfy this condition. So this is inequality is true for both cases. The answer choice that fits this is (D) n = 300 and (E) n =312.

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Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.

If all other factors remain constant, then the substantive testing sample size will remain the same. The increase in control risk will affect the auditor’s overall assessment of risk and may result in the auditor deciding to perform more tests of controls, but it will not necessarily affect the substantive testing sample size.

Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.

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The  slope and the y-intercept of the line are -1 and 5 respectively

It is important to note the general formula for the equation of a line is expressed with the formula;

y = mx+ c

Where the noted parameters of the equation are;

From the information given, we have the equation of the line as;

y = -x + 5

Now, we can have the parameters as;

Intercept, c = 5

Slope of the line, m = -1

Hence, the values are 5 and -1

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Answer:

They make sure everyone gets to the same answer. Many people memorize the order of operations as PEMDAS (parentheses, exponents, multiplication/division, and addition/subtraction). The order of operations are one set of agreements for how to evaluate expressions. They make sure everyone gets to the same value.

Step-by-step explanation:

The solution of the given expression will be 1.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given the expression as;

[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}[/tex]

Therefore, we can write as the fraction form;

[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}\\\\[/tex]

[tex]\dfrac{[(2/5)^{12}(3/16)^{-8}] }{ [(2/5)^{12}(3/16)^{-8}]}[/tex] = 1

Then it will cancel out so,

= 1

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Answer:

599 and 550

Step-by-step explanation:

I'm not sure but I think it's 599 and 550

The expression used by commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5+7 is 7+3.(2.5).

The commutative property or commutative law of mathematics states that while executing mathematical operations, the order of terms is irrelevant.

Only addition and multiplication operations are under the purview of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers. One of the main characteristics of integers is this.

According to the commutative property of multiplication, even if the positions of the two integers are switched around, the result of multiplying two integers will still be the same.

Suppose A and B are two integers;

A × B = B × A

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Answer:

Mean Of Students Who Studied: 92.5

Absolute Deviation: 5.2

Answer: 100

Step-by-step explanation:

The equivalent of the rate is $2750 per month

From the question, we have the following parameters that can be used in our computation:

The equivalent rate of $33,000/1year

There are 12 months in a year

So, we have the following representation

Rate =  $33,000/12 months

Evaluate the quotient

Rate =  $2750 per month

Hence, the equivalent rate is $2750 per month

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Answer: Perimeter because A=L X W and P= L+W+L+W

Step-by-step explanation:

Answer:

V = πr^2h = πr^2(2r) = 2πr^3

Volume of the cone: The volume of a cone with height h and base radius r is given by the formula V = (1/3)πr^2h. In this case, the height of the cone is equal to the radius of the hemisphere, so h = r. Substituting this into the formula, we have:

V = (1/3)πr^2h = (1/3)πr^2r = (1/3)πr^3

Volume of the hemisphere: To estimate the volume of the hemisphere, we'll average the volumes of the cylinder and cone.

So:V = (2πr^3 + (1/3)πr^3) / 2 = (5/3)πr^3 / 2 = (5/6)πr^3

So the volume of the hemisphere is approximately equal to (5/6)πr^3, where r is the radius of the hemisphere (and equal to the radius of the cylinder).

Step-by-step explanation:

Answer:

what we should do when we leave for every 25minutes

Change the variables and find the value of y for the equation g(x)=4x12 2+4 f1(x)=and inverse is (x2)/42x+7

Math deals with figures and their variants, calculations and parts, shapes and their regions, and locations places where they could be found. The term "function" describes the connection between a group various inputs, each of which has a corresponding output. A task is an association between inputs and outputs which each input results in a single, unique output. A domain and a codomain, or scope, are assigned toward each function. Functions are typically designated by the letter f. (x). The input is an x. Inside functions, one-to-one activities, many-to-one functions, within functions, and even on functions are the four main categories of functions that are available.

given

f(x)= [tex]\sqrt[2]{4x - 12} + 4[/tex]

f(-1)= 4x/2 - 12/2 + 4

= f−1(x)=(x^2)/4−2x+7

Change the variables and find the value of y for the equation g(x)=4x12 2+4 f1(x)=and inverse is (x2)/42x+7 .

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The number of pies made by cooking club to raise the money for field trip is equal to 14 .

Number of pies given by cafeteria = 2

Number of pieces each pie cut into = 4

Total pieces donated by cafeteria = 8

Total number of pieces sold by cooking club = 64

Number of pieces made by cooking club = 64 - 8

                                                                     = 56

Total number of pies made by cooking club to raise the money

= 56 / 4

= 14

Therefore, the total number of pies made by cooking club to raise the money is equal to 14.

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The ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.

A relationship between inputs and outputs in which each input is connected to only one output is called a function.

For instance, f(x) = 2x + 1; f(1) = 2 + 1; f(2) = 2 x 2 + 1; 4 + 1; and so on.

The functions' 3 and 5 outputs are

The function's arguments are 1 and 2.

We've got

The graph's coordinates are as follows.

(3, -1), (2, 3), ), (-4, 2), and (-2, -3) (-2, -3)

Having said that,

Many-to-one but not one-to-many can exist in a function.

We therefore cannot have (-2, 0), (-2, 3). because we already had (-2, 3) and (3, 0). (3, -1).

This indicates an impossibility of a one-to-many function.

It is feasible (0, 3).

As a result, the ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.

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Candidate A may not be giving an honest reading of the poll results.

When interpreting poll results, it is important to consider the margin of error, which indicates the level of precision of the results. In this case, the margin of error is plus or minus 5%. This means that the true support for each candidate could be as much as 5% higher or lower than the reported numbers.

Based on this information, it is possible that candidate A's lead is not as large as he claims, or that his opponent is actually leading by a narrow margin. Furthermore, it is important to note that the results of a single poll should not be taken as the definitive outcome of an election. Instead, multiple polls should be considered and the results should be viewed in the context of other factors such as the demographic makeup of the polling sample and the timing of the poll.

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