Determine the distance between the points (−2, −8) and (−9, −3). square root of 148 units square root of 125 units square root of 74 units square root of 24 units

The average size of a customer's bill at a restaurant that earns daily $3,250 for the meals that it sells to 200 customers is $16.25. Therefore, the right answer is option (c).

The average or mean is calculated by taking the ratio of the total sum of the outcomes of an event to the frequency or the number of times the event occurs.

It can be written as \(\frac{n_1+n_2+.....+n_a}{a}\).

In the given question, the sum of the customer bill is given as $3,250.

And the number of customers served is given to be 200.

Therefore, the average size of a customer's bill is calculated by \(\frac{3250}{200}\)

Which turns out to be $16.25.

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The answer is $16.25. To find the average size of a customer's bill, you would divide the total earnings by the number of customers.
$3,250 / 200 customers = $16.25 per customer.

To find the average size of a customer's bill at the restaurant, you need to divide the total daily earnings by the number of customers. Here's a step-by-step explanation:

1. The restaurant earns $3,250 daily from the meals it sells.
2. The restaurant serves 200 customers daily.

Now, calculate the average bill size:

3. Divide the total daily earnings ($3,250) by the number of customers (200).

$3,250 ÷ 200 = $16.25

The average size of a customer's bill at the restaurant is $16.25.

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The joint probability density function of (X, Y) is given by fX,Y(x, y) = Cx²(y - x), for 0 < x < y < 1.

The joint probability density function (PDF) describes the likelihood of observing specific values for two random variables, X and Y, in a continuous probability distribution. In this case, we are given the PDF fX,Y(x, y) = Cx²(y - x), where C is a constant.

The PDF is defined for values of x and y that satisfy 0 < x < y < 1. This means that the variables X and Y are constrained to a specific region within the unit square. The equation Cx²(y - x) governs the probability density within this region.

The function Cx²(y - x) represents the joint probability density for any given values of x and y. The term Cx² represents the probability density along the x-axis, which increases as x moves away from 0. The term (y - x) represents the probability density along the y-axis, which increases as y moves away from x. Therefore, the joint probability density is highest when both x and y are large.

The constant C ensures that the PDF integrates to 1 over the defined region. By calculating the integral of fX,Y(x, y) over the range 0 < x < y < 1, we can determine the appropriate value of C.

Overall, the joint probability density function fX,Y(x, y) = Cx²(y - x), for 0 < x < y < 1, describes the distribution of two random variables X and Y within a specific region. It provides valuable information about the likelihood of different combinations of x and y values occurring within that region.

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Answer:

c) \(\sqrt{13}\)

Step-by-step explanation:

\(\sqrt{13}\) is between the whole numbers 3 and 4

\(\sqrt{9}\) = 3

\(\sqrt{16}\) = 4

Answer:

1. Second Option, 2. Second Option, 3. Second Option, 4. First Option, 5. Sonia, 6. 1/2 a mile (.5), 7. $0.25, 8. $21, 9. Stan, Tran, Fran.

Step-by-step explanation:

For all of them, just divide the top number by the bottom number and compare all the numbers.

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

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Answer:

72

Step-by-step explanation:

First, we should probably break this shape down into 2 easier to work with shapes. The dimensions of these will be 4*9 and 6*6. I get 6 because when you break 4*9 off, you're also taking 4 off from the 10, giving you 6. Now just multiply and then add the area of both shapes. 4*9=36, and 6*6=36. 36+36=72, so that's your answer.

Hope this helps!

I can buy 75 latex balloons and 50 mylar balloons.

This is a problem from an algebraic equation. We can solve this problem by following a few steps.

We need 125 balloons. Let's assume we have to purchase x latex balloons.

So, mylar balloons are ( 125 - x ).

Our total budget is $32.50.

The cost of x latex balloons is ($.10 × x) = $.10x , as the latex balloons cost $.10 each.

The cost of ( 125- x)  mylar balloons is $[( 125- x) × 0.50] , as the mylar balloons cost $.50 each.

So the total cost is,

$[( 125- x) × 0.50] + $.10x  = 32.50

Now, we have to solve this equation, Let's simplify it.

62.50 - 0.50x + .10x = 32.50

Or, 62.50 - 0.40x = 32.50

Or, -0.40x =  32.50 - 62.50       [ deduce 62.50 from both side ]

Or, -0.40x =  -30                 [ we should devide both sides 0.40 ]

Or, x = 30/0.40 = 75

So, the number of latex balloons is 75. Therefore, the number of remaining mylar balloons is ( 125 - 75) = 50

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The value of chi-square statistic (\(X^{2}\)) is 11.26

As per the given question

the sample space of all the four cases are 30

the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm.

the formula of chi-squared test is

\(X^2=\sum\frac{(O_i-E_i)^2}{E}\)

where

\(X^{2}\) is chi-square

\(O_i\) is the observed value

\(E_i\) is the expected value

the upright observed value are 20,23,27,29

the upright expected values are 24.75

now

the chi-square at 3cm height is

\(X^2=\(\frac{(20-24.75)^2}{24.75}\)

=> \(X^2=0.91\)

the chi- square at 5cm height is

\(X^2=\(\frac{(23-24.75)^2}{24.75}\)

=> \(X^2=0.12\)

the value of chi-square at 10cm is

\(X^2=\(\frac{(27-24.75)^2}{24.75}\)

=>\(X^2=0.20\)

the value of chi-square at 20cm is

\(X^2=\(\frac{(29-24.75)^2}{24.75}\)

=> \(X^2=1.97\)

the not upright observed values are

10,7,3,1

the not upright expected values are 5.25

the chi-square test at 3cm height is

\(X^2=\(\frac{(10-5.25)^2}{5.25}\)

=> \(X^2=4.30\)

the chi-square test at 5cm height is

\(X^2=\(\frac{(7-5.25)^2}{5.25}\)

=> \(X^2=0.58\)

the chi-square test at  10cm height is

\(X^2=\(\frac{(3-5.25)^2}{5.25}\)

=> \(X^2=0.96\)

the chi-square test at 20 cm is

\(X^2=\(\frac{(1-5.25)^2}{5.25}\)

=> \(X^2=3.44\)

now,

the total

chi-square value at 3cm height is

=>X^2=0.91+4.30

=> \(X^{2}\)= 5.21

chi-square at 5cm height is

=> \(X^{2}=0.12+0.58\)

=> \(X^2=0.71\)

chi-square at 10cm is

=> \(X^{2}=0.20+096\)

=> \(X^2=1.16\)

chi-square at 20 cm is

=> \(X^{2}=0.73+3.44\)

=> \(X^{2}=4.17\)

now ,

the total chi-square statistic is

=>\(X^{2}=\)5.21+0.71+1.17+4.17

=>\(X^{2}=\) 11.26

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Answer:

1.square root of 10, pie, 3.5

2. 2 square root of 7, square root of 24, 2pie

3.square root 12/3, square root 3, 1.5

4.square root 8/2, 2, square root of 7

Step-by-step explanation:

The required vertical angle and angle of the sector is 110° and the arc length of the sector is 11 cm.

Given that the central angle of the sector is 110° and the radius of the circle is 7 cm.

To find the arc length when central angle (a) and radius (r) of the circle is given by using the formula,

Arc length (A) = a/360 × 2×  \(\pi\)×  r

The vertical angle is same as the central angle of the sector is 110°.

By using the given data and formula of arc length of the sector gives,

A = 110/360 × 2 × \(\pi\) × 7

By using the value of \(\pi\) = 22/7 in the above equation gives,

A = 11/36 × 2× 22/7 × 7

On simplifying gives,

A = 11/9 × 11

A = 121 / 9 = 13.44.

Therefore, the arc length of the sector is 13.44 cm.

Hence, the required vertical angle and angle of the sector is 110° and the arc length of the sector is 11 cm.

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Answer:

  18086.4 yd³

Step-by-step explanation:

You want the volume of an oblique cylinder with a radius of 12 yd and a height of 40 yd.

The volume is given by the formula ...

  V = πr²h

  V = 3.14·(12 yd)²(40 yd) = 18086.4 yd³

The volume of the cylinder is about 18086.4 cubic yards.

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Answer:

I got you.

Step-by-step explanation:

A. >

B. =

C. >

D. <

Answer:

a >

b =

c >

d <

Step-by-step explanation:

hope this helps

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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The probability of Sarah's spin on the spinner and her roll of the number cube producing a sum of 2 is 1/18

If the spinner has 1, 2, and 3 and the number cube has the numbers 1 through 6, there is only one way to get a sum of 2: by spinning

Since the probability of spinning a 1 on the spinner is 1/3 and the probability of rolling a 1 on the number cube is 1/6, we can find the probability of both events happening together by multiplying their individual probabilities:

= 1/3 x 1/6

= 1/18

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Answer:   The written description of x - 14 is given as the difference of variable x and integer 14 gives x -14.

Step-by-step explanation:

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Let x be a variable,

And 14 is an integer.

By using mathematical operations,

The difference of x and 14 can be given as,

x - 14.

Answer:

384 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

The volume of the rhombus is

V = Base × height

where,  

B = D₁D₂ ÷ 2

= (6)(8) ÷ 2

= 24 units squared

Now the volume of the prism is  

V = (24)(16)

= 384 cubic units

Answer:

384 cubic units

Step-by-step explanation:

Answer:

do you want it like this or another way

Answer:

384 inches per sec^2

Step-by-step explanation:

What we need to do here is a conversion.

We shall be converting from ft per sec^2 to inches per sec^2

The key to answering this question is to know that 12 inches = 1 feet

So the only conversion necessary here is to convert 32 inches to feet

Thus, that would be 32 * 12 = 384 inches per sec^2

Answer:

384 inches per second squared

Step-by-step explanation:

Just took the test

Answer:

10.3 is the length

Step-by-step explanation:

If the area of a parallelogram is B * H then finding one side is dividing area by base or by height

88.58 / 8.6

Answer:

Step-by-step explanation:

88.58 divided by 8.6 is 10.3. That is your answer. 10.3.

Answer: bro this is easy

Step-by-step explanation:

Answer:

a+(n-1)d is the formula to calculate

Multiple Regression is the regression analysis involving one dependent variable and more than one independent variable.

A regression is a technique that relates a dependent variable [response]  to one or more independent (explanatory) variables.

The linear regression equation is in the form, y = mx + b ., where X is an Independent variable and Y is a Dependent variable.

Multiple regression is a  technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.

Y = a + b₁X₁+ b₂X₂ + .........+ bₙXₙ

Hence, Multiple Regression analysis involving one dependent variable and more than one independent variable.

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Answer:

\(y=\frac{3}{4}x\)

Step-by-step explanation:

If it is a direct variation function, then \(\frac{y}{x}=k\).

\(k\) can be found by choosing a point and doing \(y\) divided by \(x\).

So we can find \(k\) by doing -6 divided by -8 or 9 divided by 12.

Both of these values are equal to 0.75 or 3/4 as a fraction.

So you can say any point in this relation will follow the equation:

\(\frac{y}{x}=\frac{3}{4}\)

Multiply both sides by \(x\):

\(y=\frac{3}{4}x\)

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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The volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

Let the side length of a cube is 1unit.

Therefore length of all edges of the regular octahedron =2√2 unit .

Now the base of the pyramids is a square are will be (2√2)² =12 unit.

Now clearly the height of the pyramid is half the height of the cube, i.e.,1/2.

So volume of the Pyramid will be ⇒ 1/3× (Base area) × (height) = 1/3×1/2×1/2 = 1/12.

Therefore, the volume of the octahedron= 2 × volume of Pyramid= 2 ×1/12=1/6 unit³.

Hence, the volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:

"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."

Given that:

\(x = 5\ or\ x = 10\)

An example of real life situation is as follows:

Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.

Represent the point at which the boy stays with x. So, the situation is represented as:

\(|x - 7.5| = 2.5\)

Remove absolute brackets

\(x - 7.5 = 2.5\ or\ x - 7.5 = -2.5\)

Solve for x

\(x = 7.5+2.5\ or\ x = 7.5-2.5\)

\(x = 10\ or\ x = 5\)

Hence, the value of x is 5 or 10

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