You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

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Answer:

x+10=55

x=45

Step-by-step explanation:

x+10=55

x=45

x=45 and the equation is (x+10)=55

Answer:

1.First set them equal to each other

(x+10)=55

2. Then minus 10 from both sides

x+10=55

-10. -10

x=45

The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let t = time she drove before her stop

If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.

If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.

(80 km/h)(t) + (100 km/h)(8/3 - t) = 250

Simplify the equation.

80t + 100(8/3 - t) = 250

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In the top right corner is -7x since we multiply the x and -7

In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

In the top left corner, the x^2 is from multiplying the two copies of x.

reflection in the x axis

x,y=x-y

-2,2

2,-2

-1,4

1,-4

3,4

3,-4

If we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.01, reject H₀ in favor of H₁. The correct answer is (a)

If the confidence interval for the population mean does not contain the hypothesized value in the null hypothesis, then we can reject the null hypothesis in favor of the alternative hypothesis.

In this case, the confidence interval is centered around 10.15, and it does not contain the hypothesized value of 16. Therefore, we can conclude that we have evidence to reject the null hypothesis at a significance level of 0.01 and accept the alternative hypothesis that the population mean is not equal to 16.

It is important to note that this decision is based on the confidence interval and significance level given in the question. If the confidence level or significance level were different, the decision might be different as well.

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As it is a rectangle and we know that its diagonal bisects each other therefore PT=TR i.e. 10 units

PS = 20 units  

1. Area of rectangle = PQ x PS

Area = 100√3

2. angle PRS is 30°                                 {sum of interior angle of a triangle}

sin30° = PS/PR

1/2 x 20 = PS

PS= 10 units

3. angle PRQ is 60°                                     {Alternate interior angle}

cosine60°=QR/PR

1/2 x 20 = QR

QR= 10 unit

4. cosQSR = 10/20

cosQSR=1/2

angle QSR = 60°

Thus angle PQS is 30°

tanPQS = 1/√3

PQ= 10√3

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a) 110°

b) 39°

️️️️️️️️

Answer:

-3p

Step-by-step explanation:

Answer:

-3p

Step-by-step explanation:

5p - 4p = 1p - 4p = -3p

A cluster sample will: b. Seek views from a homogeneous group in the population

A cluster sample is a type of sampling method where the entire population is divided into groups, or clusters, and a random sample of these clusters are selected for the study. Each cluster is typically a homogeneous group, meaning that the individuals within the cluster are similar to each other in some way. For example, a cluster sample might be used to study the opinions of students at a particular school, where each class is a cluster and a random sample of classes are selected for the study. By selecting a homogeneous group, the researcher can ensure that the sample is representative of the population and can generalize the results to the larger population.

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Answer:

You can graph it . I got and answer of 2 , 4 , 5,

Step-by-step explanation:

a point is 0,-2. if you test all the others the equations are not true, so that's the only one that works and makes both equations true.

Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

The property states that when two vectors a and b are multiplied together, the result is equal to the negative of b multiplied by a. This can be shown by multiplying the components of both vectors and then multiplying the result by -1.

a×b = (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (−1) * (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (−1) * (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1)

= − b × a.

The property a × b = − b × a states that when two vectors a and b are multiplied, the result is equal to the negative of b multiplied by a. This can be proven by first expanding the components of both vectors. For a vector a=(a1,a2,a3) and b=(b1,b2,b3), the expanded form of a×b is (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1). This can then be multiplied by -1 to get the expanded form of -b×a, which is (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1). Since this is equal to the original form of a×b, this proves the property.

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The statement "The basic calculation for obtaining a response bias is not to divide the number of legitimately completed questionnaires returned by the total number of sample members provided a chance to participate." is False

Instead, the basic calculation for obtaining a response bias is to subtract the response rate from 100%. The response rate is calculated by dividing the number of legitimately completed questionnaires returned by the total number of sample members provided a chance to participate.

So, the formula for calculating response bias is:
Response bias = 100% - (number of legitimately completed questionnaires returned / total number of sample members provided a chance to participate)

In other words, response bias is the percentage of sample members who did not participate or did not complete the questionnaire legitimately. It is important to calculate response bias in order to understand how representative the sample is of the population.

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Answer:

y = 5

Step-by-step explanation:

The standard form of a linear equation is Ax + By=C

But let's start with the slope-intercept form:  y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

M, the slope, may be calculated by using the Rise/Run between the two given points:  (1,5) and (3,5):

Rise = (5-5) = 0  [Note that the value of y does not change when x = 1 or 3.]

Run is = (3-1)=2

Rise/Run (slope, m) is (0/2) or 0.  [y does not change as a function of x.  It is a flat, horizontal line]

The equation becomes y = (2/3)x + b

We need to find a value of b, the y-intercept, that forces the line to go through both points.  This can be done by entering one of the points into the equation and solving for b:

y = (0)x + b

I'll use (1,5)

5 = (0)*(1) + b

b = 5

The equation becomes y = (0)x + 5  or y = 5

Standard form of the equation is Ax + By = C

A is 0, B is 1 and C is 5

y = 5

In a population of size 8, there are 56 different simple random samples of size 3 that can be selected using permutation combination.

To determine the number of simple random samples of size 3 that can be selected from a population of size 8, we can use the combination formula. The combination formula calculates the number of ways to choose a subset of a given size from a larger set without considering the order of the elements. In this case, we want to choose 3 elements from a population of 8.

Using the combination formula, the number of simple random samples of size 3 can be calculated as \(\[C(8, 3) = \frac{{8!}}{{3! \cdot (8-3)!}} = 56\]\). Here, "C" represents the combination operator and the numbers inside the parentheses denote the values for the formula. The factorial symbol (!) indicates the product of all positive integers less than or equal to the number.

Therefore, in a population of size 8, there are 56 different simple random samples of size 3 that can be selected. Each sample consists of 3 elements chosen from the population without replacement, meaning that once an element is chosen, it is not replaced before selecting the next element.

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Answer:

AC = 127,26 f    distance from home plate to second base

Step-by-step explanation:

Let call  A , B , C  Home plate,  first base and second base respectively

These three point form a right triangle with legs ( AB  = BC = 90 feet)

we have an isosceles triangle with a right angle and two angles of 45⁰

So we need to compute distance AC (hypotenuse)

AC²  =  AB² + BC²    ⇒  AC²  = 2AB²   ⇒ AC = AB √2

AC = 90 * 1,414

AC = 127,26 f

The maximum radius of the picture frame is 19.1 cm

In order to determine the radius of the picture frame, the total length of the square painting has to be determined. The perimeter of the painting would be equal to the circumference of the circular picture frame. Then, the radius can be determined.

The first step is to determine the total length of the decorative strip. The length can be determined by calculating the perimeter of the square painting.

Perimeter of a square = 4 x length

4 x 30 =120 centimeters

The circumference of a circle = 2πr

Where:

r = circumference ÷ (2 x π)

= 120  ÷ (2 x 3.14) = 19.1 cm

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Step-by-step explanation:

n=24

n=39 to limt thier balance

n=45

n=7

The equivalent expression for  ∑₁₀¹⁹(n² - 6n + 9) is A. ∑₁₀¹⁹(n - 3)²

Since we have the expression ∑₁₀¹⁹(n² - 6n + 9) we desire to find the equivalent expression, we proceed as follow

Since we have the expression ∑₁₀¹⁹(n² - 6n + 9), we simplify the expression in the bracket by factorizing it. so, we have that

∑₁₀¹⁹(n² - 6n + 9) = ∑₁₀¹⁹(n² - 3n - 3n + 9)

Now, grouping like terms together, we have that

∑₁₀¹⁹(n² - 3n - 3n + 9) = ∑₁₀¹⁹[n(n - 3) - 3(n - 3)]

Factorizing the brackets, we have that

∑₁₀¹⁹[n(n - 3) - 3(n - 3)] = ∑₁₀¹⁹[(n - 3)(n - 3)]

Since the term is repeated, so we square it. Thus, we have that

= ∑₁₀¹⁹(n - 3)²

So,  ∑₁₀¹⁹(n² - 6n + 9) = ∑₁₀¹⁹(n - 3)²

So,  ∑₁₀¹⁹(n² - 6n + 9) is A. ∑₁₀¹⁹(n - 3)²

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Answer:

Step-by-step explanation:

constant of proportionality : 60/4 = 15

Number : 2

Cost : 15 * 2 = $30

Number 6

Cost = 15 * 6 = $90

Number 8

Cost = 15 * 8 = $120

The answer is (A)18 because the dividend is always divided by the divisor (6)

Meron has a combination of quarters and nickels in his wallet. The number of nickels is three times the number of quarters he has. The total value of the coins is $2.00. Therefore, Meron has 5 quarters in his wallet

Let's assume the number of quarters Meron has as "q." According to the given information, the number of nickels is three times the number of quarters, which means Meron has 3q nickels.

The value of each quarter is $0.25, and the value of each nickel is $0.05. We can express the total value of the coins using these values:

Total value = (number of quarters * value of a quarter) + (number of nickels * value of a nickel)

$2.00 = (q * $0.25) + (3q * $0.05)

Simplifying the equation, we get:

$2.00 = $0.25q + $0.15q

$2.00 = $0.40q

Dividing both sides of the equation by $0.40, we find:

q = $2.00 / $0.40

q = 5

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Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

Answer:

Step-by-step explanation:

Step one:

given

initial deposite= $500

10% of the venue is $500

let the cost of the venue be x

Required

cost of the venue

10/100*x=500

0.1x=500

divide both sides by 0.1

x=500/0.1

x=$5000

Therefore the cost of the venue is $5,000

Answer:

It is 23

Step-by-step

23 becaauae if you use x and -2 its bets 23

Answer:

3+16 divided by 4 is 4.75

4×7-2×6..... is5.33

168

Answer:

It might be A.

Step-by-step explanation:

Answer:

I believe it is a or c

Step-by-step explanation: