HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

Step-by-step explanation:

Answer:

0 is the value of x is the correct answer

The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.

To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.

Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.

We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.

Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.

Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.

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Given:

The volume of the sidewalk is 162 cubic feet.

In yards,

The selling price of concrete is $55.5 per cubic yard.

To find the amount that I spend to pave the sidewalk:

So,

Hence, the amount that I spend to pave the sidewalk is $333.

Answer:

The graph would become steeper.

This is because the rise is greater. 2x describes rising by 2 units and running (right) by 1. If the slope is increased, then so is the "steepness". The slope would then be rising 4 unit and running (right) 1.

The correct statement is (c) the graph would become steeper.

The equation is given as:

\(y = 2x + 3\)

The new equation is represented as:

\(y = 4x + 3\)

Start by rewriting the new equation

\(y = 4x + 3\)

Express 4 as 2 * 2

\(y = 2 \times 2x +3\)

The above equation means that \(y = 2x + 3\) is stretched by a scale factor of 2

The scale factor (2) means that, the new graph would become steeper.

Hence, the correct statement is (c)

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The maximum profit per day is $600, and the soft-drink vendor must sell 1,500 cans to achieve this maximum profit.

The profit function for the soft-drink vendor is given by P(x) = -0.001x^2 + 3x - 1800. To find the maximum profit per day and the number of cans to sell for maximum profit, follow these steps:

1. Identify the quadratic function: In this case, it's P(x) = -0.001x^2 + 3x - 1800.

2. Find the vertex of the parabola, which represents the maximum profit point. The x-coordinate of the vertex can be found using the formula x = -b / 2a, where a and b are the coefficients of the quadratic function (a = -0.001, b = 3).

3. Calculate the x-coordinate of the vertex: x = -3 / (2 * -0.001) = -3 / -0.002 = 1500.

4. Substitute the x-coordinate back into the profit function to find the maximum profit: P(1500) = -0.001(1500)^2 + 3(1500) - 1800 = $600.

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Answer:-3x^2(9x^5-5)

Step-by-step explanation:

Step-by-step explanation:

-3x2(x2)-9x3+25x2

-3x2(x2+3x-5)

Answer: 1/5^6 = 1/15625

Step-by-step explanation:

The different possible combinations are 5 to the power of 6, and one of those will fit our requirements. Thus, the probability is 1/5^6 = 1/15625

Answer:

domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Answer:

6x+y=30

-9x+3y=-18

Solving by substitution means that you have to express one of the variables (from one the equations) through the other one and substitute in the second equation.

In this example it is easier to express y through x in the first equation: y=30-6x. Put the expression for y in the second equation and solve for x.

-9x+3(30-6x)=-18 (divide by -3)

3x-30+6x=6

9x=36

x=4,  

y=30-6x=30-24=6

Step-by-step explanation:

The provided function's definite integral from 0 to 10 is closest to 4.

The area of each zone that the function, the x-axis, and the two vertical lines at x = 0 and x = 10 bounds is added to form the definite integral of the function. The definite integral that results from adding up each of these areas is the one that is closest to 4. The area of the region above the x-axis is larger than the area of the region below the x-axis, which explains this. The area of the region above the x-axis is higher than the area below the x-axis because the function is rising across the interval. The overall area is closer to 4 since the area of the region below the x-axis is negative. As a result, 4 is the closest value for the definite integral of the 0–10 function.

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Answer:

He does?

Step-by-step explanation:

Answer:

$26

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

Compound amount = $8867.39

compound interest = $1867.39

EXPLANATION

Given:

Principal(p) = $7000 Rate(r) = 0.12 Time(t) = 2 n= 4

We can calculate the compound amount(A) using the formula below:

Substitute the values and evaluate.

Hence, the compound amount = $8867.39

We proceed to find the compound interest.

A = P + I

⇒ I = A - P

= 8867.39 - 7000

=1867. 39

Therefore, the compound interest = $1867.39

Answer:

D

Step-by-step explanation:

The graph goes up by 50 each time, but each line is half of 50 which means it is 25. (50/2) So the start (the start is always 0) of the her savings account is 3 lines above the 0 weeks mark. 25x3 = 75. Therefore, the beginning balance of her savings account had $75.00.

Answer:

D. $75.00

Step-by-step explanation:

We Kow

The x-axis is the number of weeks, and the y-axis is the account balance.

What was the beginning balance of Sophie's savings account?

We see at 0 weeks, the balance is $75, so the answer is option is D. $75.00

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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The Rule Algebra Reciprocal prove that cos x - cot x. cos x = sin x.

Given:

cos x - cot x. cos x = sin x.

Taking L.H.S

cos x - cot x. cos x

1/sin x - (cos x/sin x). cos x

1/sin x - cos² x/sin x

(1 - cos² x)/ sin x

The Rule Algebra Reciprocal

sin² x/sin x

sin x......(1)

Taking R.H.S.

sin x....(2)

Therefore, cos x - cot x. cos x = sin x.

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The best measure of variability for the data, and its value is: D. The range is the best measure of variability, and it equals 9.

In Mathematics and Statistics, a line plot simply refers a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

From the data set, we have:

10, 1, 1, 4, 4, 2, 2, 2, 5, 5, 5, 3, 3, 3, 3

For the IQR, we have:

IQR = Third quartile (Q₃) - First quartile (Q₁)

IQR = 5 - 2

IQR = 3

For the range, we have;

Range = maximum - minimum

Range = 10 - 1

Range = 9.

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Using translation concepts, it is found that the following rule is applied to each point:

(x,y) -> (x,-y).

The point that is does not result from this transformation will not be one of the new coordinates.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

When a function is reflected over the x-axis, it's output is multiplied by -1, hence the rule is given by:

(x,y) -> (x,-y).

Thus, this rule is applied to all points, which are A, B, C and D, and the point that is does not result from this transformation will not be one of the new coordinates.

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Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

A. The arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone boothe.

B. The arrival rate per hour must increase by at least 1.6 customers per hour to justify a second telephone booth under the new criterion.

To get the how much arrival rate must increase, we must get the expected waiting time for a customer.

Assuming;

X is the number of customers who arrive per hour

Y is the length of a phone call in minutes.

Then, X follows a Poisson distribution with λ = 4 (since 4 customers per hour use the phone on average)

Y follows a negative exponential distribution with mean μ = 5 (since the mean length of a phone call is 5 minutes).

Total time is given as sum of waiting time and length of call;

T = W + Y

The waiting time W is the difference between the time a customer arrives and the time that the phone becomes available. waiting time follows a uniform distribution where mean= 1/λ (since the arrivals follow a Poisson process);

Then we have;

E(W) = 1/(2λ) = 1/8 hours

The expected total time T that a customer spends at the phone booth is:

E(T) = E(W) + E(Y) = 1/8 + 5/60 = 11/48 hours

For a second telephone booth to be justifiable, new customer that arrives must wait 3 minutes or longer for the phone.

E(W) ≥ 1/20

To get λ,

1/(2λ) ≥ 1/20

λ ≤ 10

This means that, the arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone booth.

b. Getting how much the arrival rate per hour must increase to justify a second telephone booth under the new criterion,

we need to find the probability that a customer has to wait at all.

Let P(W > 0) be the probability that a customer has to wait.

P(W > 0) = 1 - P(W = 0)

The waiting time W follows a uniform distribution with mean 1/λ, so we have:

P(W = 0) = 1 - λ/4

The length of a phone call Y follows a negative exponential distribution with mean 5 minutes = 1/12 hours, so we have:

P(Y > t) = e^(-μt) = e^(-t/12)

The probability that a customer has to wait is given as;

P(W > 0) = 1 - P(W = 0) = λ/4

To justify a second telephone booth, the probability of having to wait at all must exceed 0.6. so we have;

P(W > 0) > 0.6

λ > 2.4

The arrival rate per hour must increase by at least 2.4 - 4 = 1.6 customers per hour to justify a second telephone booth under the new criterion.

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Answer:

a=4

b=20

c=16

d=145

e=40

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Substitute 3 for z and 9 for w in the equation.

\( - 2z - 3w + 7 + 8\)

\( - 2(3) - 3(9) + 15\)

\( - 6 - 18 + 15\)

\( - 24 + 15\)

\( - 9\)

Answer:

$115.2

Step-by-step explanation:

Step one:

Given data

A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.

Therefore the wholesale price is

72*2= $144

Required:

The special sales cost at 20% discount

Step two:

We are told that the special sale is at a 20% discount on the wholesale

= 20/100*144

=0.2*144

=$28.8

Therefore the special sales price is

= 144-28.8

=$115.2

Answer:

3/4, 0.75, 75%

Step-by-step explanation:

\(\frac{12}{16}\)  

divide top and bottom by 4

\(\frac{3}{4}\)

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape