write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. a company that teaches self-improvement seminars is holding one of its seminars in oak grove. the company pays a flat fee of $180 to rent a facility in which to hold each session. additionally, for every attendee who registers, the company must spend $17 to purchase books and supplies. each attendee will pay $53 for the seminar. once a certain number of attendee register, the company will be breaking even. how many attendees will that take? what will be the company's total expenses and revenues?

Answer:

x = 12

Step-by-step explanation:

10x+24 = 6x+72

10x - 6x = 72 - 24

4x = 48

x = 12

Answer:

144

Step-by-step explanation:

10x+24=6x+72

-6x          -6x

4x+24=72

     -24  -24

4x=48

/4   /4

x=12

<A=10(12)+24

<A=120+24

<A=144

The statement "the first step in the sampling design process is to determine the sample size" is false because according to the text, the first step in the sampling design process is to clearly define the target population.

The first step in the sampling design process is typically to define the target population and the research objectives.

This involves specifying the characteristics of the population under study and identifying the specific research questions or objectives that the sampling will address.

Once the target population and research objectives are established, the next steps in the sampling design process typically involve determining the appropriate sampling method (such as random sampling, stratified sampling, or cluster sampling) and selecting the sampling frame (the list or source from which the sample will be drawn).

After these initial steps, researchers can then consider factors such as the desired level of precision, confidence level, and variability in the population to determine the appropriate sample size.

The determination of the sample size usually comes after clarifying the research objectives and selecting the appropriate sampling method.

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The law of logic that is illustrated in this scenario is the law of implication, specifically the "if-then" implication.

According to this law, if there is a conditional statement where one event (the antecedent) implies another event (the consequent), then if the antecedent is true, the consequent must also be true. In this case, the conditional statement is "if you miss practice the day before a game, then you will not be a starting player in the game."

The antecedent is "you miss practice on Tuesday" and the consequent is "you will not start the game Wednesday." Therefore, based on the law of implication, if the antecedent is true (which it is in this scenario), then the consequent must also be true.

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Answer:

Step-by-step explanation:

x- intercept is the point (x, 0)

y-intercept is the point (0, y)

We need to find the equation of the tangent to the graph of f(x) =\(x^2 - 3\) at the point where x = 2.

First, we find the derivative of f(x) using the power rule:

f'(x) = 2x

Then, we evaluate the derivative at x = 2 to find the slope of the tangent at that point:

f'(2) = 2(2) = 4

So, the slope of the tangent at x = 2 is 4.

Now, we use the point-slope form of the equation of a line to find the equation of the tangent. We know that the point (2, f(2)) lies on the tangent, so we substitute x = 2 and evaluate:

f(2) =\(2^2 -\) 3 = 1

Therefore, the point (2, 1) lies on the tangent.

Using the point-slope form, we have:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (2, 1).

Substituting m = 4, x1 = 2, and y1 = 1, we get:

y - 1 = 4(x - 2)

Expanding and simplifying, we obtain:

y = 4x - 7

So, the equation of the tangent to the graph of f(x) =\(x^2\) - 3 at the point where x = 2 is y = 4x - 7.

The equation of the tangent to the graph of f(x) =\(x^{2}\) - 3 at the point (2, 1) is y = 4x - 7.

To find the equation of the tangent, we first need to compute the derivative of the function f(x) = \(x^{2}\) - 3. The derivative of \(x^{n}\), where n is a constant, is n\(x^{n-1}\). Applying this rule, the derivative of f(x) = \(x^{2}\) - 3 is f'(x) = 2x.

Next, we substitute the given value of a = 2 into the derivative to find the slope of the tangent at the point (2, 1). So, f'(2) = 2(2) = 4, which represents the slope of the tangent.

Using the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope, we can plug in the values (2, 1) and m = 4 to obtain the equation of the tangent. Simplifying the equation, we get y - 1 = 4(x - 2).

Further simplifying, we can rewrite the equation as y = 4x - 7, which is the equation of the tangent to the graph of f(x) = \(x^{2}\) - 3 at the point (2, 1).

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Answer:

110

Step-by-step explanation:

Multiply 2*6 to get 12 then 7*14 to het 98 add those together and you get 110

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

There are 362,880 different possible orders in which the performers can be chosen for the variety show.

The total number of performers in the variety show is 4 comedians + 5 musicians = 9 individuals. Since the order in which they perform is random, there are a total of 9! (nine factorial) possible ways to arrange them. This can be calculated as 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362,880. Each of these arrangements represents a unique sequence in which the performers take the stage.

The randomness of the selection ensures that any individual performer can be chosen first, second, third, and so on. As a result, there is an equal probability of any specific arrangement occurring. The variety show could begin with a comedian or a musician and continue with alternating performers, or it could have multiple comedians or musicians performing consecutively. With 362,880 possible arrangements, the order of performances can vary greatly, adding an element of unpredictability and excitement to the show.

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The function that possesses a period of 16 units, a midline at y=3, and a maximum at y=8 is f(x) = 5 sin(π/8 x) + 3

The sine function with a period of 16 units, a midline at y=3, and a maximum at y=8 can be written in the form:

y = A sin(Bx) + C

where A is the amplitude, B is the frequency (related to the period), and C is the vertical shift (related to the midline).

The frequency is related to the period by the formula: B = 2π/period.

So, in this case,

B = 2π/16 = π/8.

So, we have

y = A sin(π/8x) + C

Using the list of options as a guide the sine function that satisfies these conditions is f(x) = 5 sin(π/8 x) + 3

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Answer:

5/6 x 48 = 5 x 8=40

Step-by-step explanation:

Pls mark as brainliest

Answer:

40

Step-by-step explanation:

\( \frac{5}{6} \times 48 \\ \frac{5 \times 48}{6} \\ \frac{240}{6} = 40\)

Answer:

The coordinates of b are (3, -5)

Step-by-step explanation:

\(c(1,-1)\)

\(a(-1,3)\)

\(1=\frac{-1+x}{2}\)

\(2=-1+x\)

\(x=2+1\)

\(x=3\)

\(-1=\frac{3+y}{2}\)

\(-2=3+y\)

\(y=-2-3\)

\(y=-5\)

Answer:

40 apps in a minute!

Answer:

C

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

The given triangles ΔABC and ΔLMN are similar by AA postulate.

A triangle is a three sided polygon that consist of three edges and three vertices .

Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.

Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.

Hence two triangles are similar by AA postulate.

Thus two triangles are similar by AA postulate. So option (C) is correct.

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Answer: A, C

Step-by-step explanation:

a) True since this is when the graph intersects the x axis.

b) False, this is a minimum, not a maximum.

c) True, this is tue turning point.

d) False, the axis of symmetry is x=-3, not y=-4.

a. To calculate the solid angle subtended by the thunderstorm cloud, we can use the formula for the solid angle of a cone-like region given by: Solid Angle = ∫∫ sin(θ) dθ dφ.

In this case, the limits of integration are π/6 < θ < π/2 and 0 < φ < π/8. ∫∫ sin(θ) dθ dφ = ∫(π/8 to π/2) ∫(0 to π/8) sin(θ) dθ dφ. Evaluating this integral will give us the solid angle subtended by the thunderstorm cloud. b. To determine the percentage of the sky occupied by the thunderstorm cloud, we need to calculate the ratio of the solid angle subtended by the cloud to the total solid angle of a full sphere (4π steradians), and then multiply by 100. Percentage of Sky Occupied = (Solid Angle / 4π) * 100.

By substituting the value of the solid angle obtained in part (a) into this formula, we can determine the percentage of the sky occupied by the thunderstorm cloud. Please note that without specific numerical values for the limits of integration, it is not possible to provide a numerical answer in this case.

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Answer:

Area of ACEG is 100

10

Step-by-step explanation:

Pythagorean says CE = EG = AG = AC = 10

Answer:

I think the answer is 100

Step-by-step explanation:

Use the pythagorean theorem to find out the missing side

6^2 plus 8^2 equals 100

The square root of 100 is 10. The lengths of the sides are 10.

10 times 10 is 100.

I hope this helps :)

Answer:

then there won't be a fair enough poll

Step-by-step explanation:

I think but at least  I tried

If the student council decides to randomly sample 5% of the student body instead of 10%, they may receive less reliable feedback about the theme they have chosen.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

If the student council decides to randomly sample 5% of the student body instead of 10%, the sample size would be smaller.

A smaller sample size may lead to less accurate or representative results.

In other words, the feedback received from the 5% sample may not be as reliable as the feedback from the 10% sample.

The smaller sample size may not capture the diversity of opinions within the student body, and the results may be more susceptible to chance variation.

Therefore, if the student council decides to randomly sample 5% of the student body instead of 10%, they may receive less reliable feedback about the theme they have chosen.

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Answer:

O q= 52

Step-by-step explanation:

Answer: 44.6cm³

The formula is \(\frac{4}{3} \pi r^3\).

Since the formula had π (pi) pi is 3.14.

The radius is the line inside the sphere.

That being said, the radius is 2.2, so the line is 2.2 long.

Now, let's solve.

4/3 × 3.14 = 4.186 → 4.19

4.19 × 2.2³ = 44.6

Hence, 44.6 is the answer.

Answer:

825 people

Step-by-step explanation:

In the City where the election came up, 33% of the eligible voters voted

It is observed that there are 2500 eligible voters approximately.

The people who voted in 2012 is =

33/100 * 2500

=825 People

In 2012, the total number of people who voted in the city is 825 people

Answer: i think is

f= 17/4 is what i got   ∩· ω · ∩

Step-by-step explanation:

The a = 0.01 critical value for the chi - square statistic with 13 degrees of freedom is given by 27.688.

Hence the correct option is (A).

Here given distribution is Chi - squared distribution.

two parameters of chi - squared distribution are given by ' a ' and ' d ' where d is degree of freedom.

The critical value against chi squared distribution changes according to the change of the values of a and d.

The table chi squared distribution is given by,

Here we have to find the critical value for the chi - squared statistic with 13 degrees of freedom when a = 0.01.

Therefore, a = 0.01 and d = 13

From the given table we can see that when a = 0.01 and d = 13 the critical value is given by 27.688.

Hence the correct option is (A).

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(i) For the point (-1, -3-√): r=2, θ=4π/3 | (ii) For the point (-1, -3-√): r=-2, θ=π/3 | For the point (-2, 3): (i) r=√(13), θ=  | (ii) r=-√(13), θ=

(i) For the point (-1, -3-√) with r > 0 and 0 ≤ θ < 2π:

r = 2

θ = 4π/3

(ii) For the point (-1, -3-√) with r < 0 and 0 ≤ θ < 2π:

r = -2

θ = π/3

For the point (-2, 3):

(i) With r > 0 and 0 ≤ θ < 2π:

r = √(13)

θ =

(ii) With r < 0 and 0 ≤ θ < 2π:

r = -√(13)

θ =

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Differences caused by treatment effects contribute to the "between treatments variance" in an analysis of variance (ANOVA).

The ANOVA partitions the total variation in the data into two components: the variation between the treatment groups (due to the treatment effects) and the variation within each treatment group (due to random error and individual differences).

The between treatments variance measures the extent to which the means of the treatment groups differ from each other, and it is calculated by comparing the sample means to the grand mean (overall mean of all the observations). In contrast, the within-treatments variance measures the variability of the observations within each treatment group, and it is calculated by comparing the individual observations to their respective group means.

Therefore, the differences caused by treatment effects contribute to the between treatments variance, which is one of the two sources of variance in an ANOVA.

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Answer:

Step-by-step explanation:

Put u=17

Answer:

59.5.

Step-by-step explanation:

h = 3.5u

When u = 17,

h = 3.5*17

= 59.5

The length of the third side of the triangle which is the hypotenuse is 17 with other sides being 8 and 12.

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

In other to get the length of the sides of a triangle, we have to apply pythagoras theorem which is seen below:

a² + b² = c²

To get the hypotenuse , we can use c=√a²+b²

c = √8² + 12²

c = √64 + 144

c = √289 = 17.

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The range of the bowler's scores is 40

Range can be described as the difference between the highest and lowest numbers.

The scores in the game are listed below

190, 150, 154, 194, 182,190, 170, 178, 161, 180

Highest number= 190

Lowest number= 150

Range = 190-150

= 40

Hence the range is 40

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