It rained 6.14 inches on Saturday and 4.71 inches on Sunday. How much did it rain on
Saturday and Sunday combined?
ASAP

If the spinner is fair and has an equal chance of landing on each color, then the best prediction possible for the number of times it will land on blue when spun 11 times is 2.

If the spinner is fair, then the probability of it landing on each color is equal. Since the spinner has four colors, the probability of it landing on blue is 1/4 or 0.25.

To determine the best prediction possible for the number of times it will land on blue, we can multiply the probability of it landing on blue (0.25) by the total number of spins (11):

0.25 x 11 = 2.75

However, since we cannot have a fractional number of spins, we must round to the nearest whole number. Since 2.75 is closer to 3 than to 2, we might initially think that the best prediction for the number of times it will land on blue is 3. However, since we are looking for the best prediction possible, we need to consider the probabilities of landing on other colors as well. If we predict that the spinner will land on blue 3 times, then we are predicting that it will land on each of the other colors 2 times. This means that our total prediction is:

Blue: 3

Red: 2

Green: 2

Yellow: 2

              Blue: 2

              Red: 3

              Green: 3

              Yellow: 3

This prediction is the best possible because it gets as close as possible to landing on each color 2 times while still being a whole number. Therefore, the best prediction possible for the number of times the spinner will land on blue when spun 11 times is 2.

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Answer:

37.7 inches

Step-by-step explanation:

u have the formula so with r being radius just multiply by 2 then multiply that answer by pie and round to the nearest tenth.

Answer:

23 años

Step-by-step explanation:

Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:

x+6=2(x-4)

x+6=2x-8

6+8=2x-x

x=14

Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.

The angle 11.83 degrees is equal to approximately 0.206 radians.

Radians are a more natural unit for measuring angles in mathematics because they are based on the radius of a circle.

The relationship between radians and degrees can be expressed using the following conversion factor:

1 degree = π/180 radians

This means that to convert an angle from degrees to radians, we need to multiply it by π/180.

In the case of 11.83 degrees, we can convert it to radians by multiplying it by π/180:

= 11.83 degrees × π/180

= 0.206 radians (rounded to three decimal places)

Therefore, 11.83 degrees equals 0.206 radians.

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-256.

how? 8 times 8 times 8 is 512.

512/2 is 256. But two negatives make a positive. So, it's -256.

Answer:

81,620,948

Step-by-step explanation:

this what you need?

There are 15 different combinations of shows can gabe choose to watch.

Given,

Number of shows to be telecasted = 6

Number of allowed shows to watch =4

Gabe is allowed to watch 4 shows from total 6 shows.

To calculate combinations of shows that can gabe choose to watch, use formula

\(nCr=\frac{n!}{r!(n-r)!}\)

Where, n=Total number of shows i.e. 6

r= Number of choosing shows i.e.

\(nCr=\frac{6!}{4!(6-2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1(2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1*2}\\\\nCr=15\)

Thus, there are 15 different combinations of shows can gabe choose to watch.

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We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.

So, length of the safety rail is given by:

Where:

r = 10 yd

pi = 3.14

Substitute, we have:

The Answer is 15.7 yd

Next, area of the deck is given by:

Substitute the values:

The answer is 78.5 yd^2

Answer: 5 is in the tenths place

4 is in the hundredths place.

Step-by-step explanation:

When dealing with the place value of numbers, we should note that the digit is in the tenths place is the first didgut after the decimal point. In the number 12.54, the first digit after the decimal place is 5.

The digit in the hundredths place is the digit that comes immediately after the tenths place. In this case given the number 12.54, the digit in the hundredths place is 4.

The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

A. x < $20 or x > $150

B. x \(\geq\) $25

C. x \(\leq\) 35mph

D. x \(\leq\) $4

Step-by-step explanation:

Not sure of the format desired for item A but this is what I came up with.

Answer: Maybe first give an equation

Step-by-step explanation:

Answer:

% = 50

Step-by-step explanation:

%       9

--   =   --

100    18

Multiply 9 times 100, that equals 900. Divide 900 by 18, which = 50.

The slope of a graphed line that spans grid points (0, 2) and best represents the slope as -5 (1, -3)

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

If the line rises to the right, the slope has a positive sign. The slope of this line is negative since it descends to the right. (Removes options C and D)

The ratio of the vertical to horizontal distance between two sites determines the slope's magnitude. This line has a slope of rise/run = -5/1 = -5 because it descends five vertical squares for every square to the right.

-5 is the best way to describe the slope.

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Answer:

D: 2x + 2x + x + 10 + x + 10 is the expression that could NOT be used to calculate the perimeter of the rectangle.

To calculate the perimeter of a rectangle, you need to add up the lengths of all four sides, which are usually labeled as length (L) and width (W).

Function's domain is the set of values on which it is defined. One such function having domain x≥ 5 and range y ≤ 3 is: \(y = 3 - \sqrt{x-5}\)

There can be actually infinite functions having same domain and range.

We need to find one function whose domain is x≥ 5 and range is y ≤ 3

Let the function be \(y = f(x)\)

For keeping the function not defined for values of x < 5, we need to make such condition such that for values x < 5, the values of the function becomes undefined.

We can use some trick which keeps one sided interval undefined. One such function is the square root function which needs the input to be non-negative,

If we input x-5 to the square root function, then x can't go below 5, as square root of negative values is not defined(if not using complex numbers).

Thus, \(\sqrt{x-5}\) is one part of f(x).

Next, we need the output to be limited by 3.

Since the quantity  \(\sqrt{x-5}\)  is never negative, so 3 -  \(\sqrt{x-5}\)  is never going to be bigger than 3.

Thus, \(y = 3 - \sqrt{x-5}\) is one such needed function, having domain x≥ 5 and range y ≤ 3

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Since a bakery sells apple pies for $9.15. If the pie has a diameter of 6 inches, using unit rate the cost per square inch is $ 0.32/in²

Unit rate is the amount per unit of a substance or quantity

Since a bakery sells apple pies for $9.15. If the pie has a diameter of 6 inches, to determine what is the approximate cost per square inch of the apple pie, we proceed as follows.

We know that the cost per square inch is the unit rate which is given by

c = P/A where

So, we have that

c = P/A

= 4P/πd²

Given that

So, substituting the values of the variables into the equation, we have that

c = 4P/πd²

c = 4 × $ 9.15/π(6 in)²

c = $ 36.6/36π in²

c = $ 36.6/113.097 in²

c = $ 0.3236/in²

c ≅ $ 0.32/in²

The cost per square inch is $ 0.32/in²

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Answer:

-20

Step-by-step explanation:

Lets substitute to solve:

\(\frac{mn}{p} +(-n)\)

\(\frac{2(12)}{-3} +(-12)\)

\(\frac{24}{-3} +(-12)\)

\(-8} +(-12)\)

\(-20\)

Answer:

yeah i agree it may be 20

Step-by-step explanation:

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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The expected value of a random variable represents the average value we would expect to obtain if we were to repeat the experiment many times. For a discrete random variable, such as the one you described, the expected value is given by the formula:

E(X) = Σ[x * P(x)],

where x is the possible values that the random variable can take, and P(x) is the probability of the random variable taking the value x.

In your case, the random variable X represents the number of occurrences of an event over an interval of ten minutes, and it is known that the mean number of occurrences in ten minutes is 5.3. Therefore, we can assume that the probability of an occurrence is λ/10, where λ is the average rate of occurrences per minute.

To find the expected value of X, we can use the formula:

E(X) = Σ[x * P(x)]

Since the number of occurrences can range from 0 to infinity, we need to consider all possible values of X. We can use the Poisson distribution to calculate the probability of each value of X, where the parameter λ is equal to 0.53, which is the average number of occurrences per minute.

Using the Poisson distribution formula, the probability of X taking the value x is given by:

\(P(X = x) = (e^(-λ) * λ^x) / x!\)

Substituting λ = 0.53, we have:

P(X = 0) = (e^(-0.53) * 0.53^0) / 0! = 0.5878

P(X = 1) = (e^(-0.53) * 0.53^1) / 1! = 0.3113

P(X = 2) = (e^(-0.53) * 0.53^2) / 2! = 0.0827

P(X = 3) = (e^(-0.53) * 0.53^3) / 3! = 0.0139

and so on...

We can then use the formula for expected value to find the expected value of X:

E(X) = Σ[x * P(x)] = (0 * 0.5878) + (1 * 0.3113) + (2 * 0.0827) + (3 * 0.0139) + ...

Evaluating this infinite sum (which can be done using a calculator or statistical software), we find that the expected value of X is approximately 5.59 occurrences per 10 minutes.

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The statement suggests that the worst-case time complexity of Insertion Sort is approximately proportional to n²/2, while the average-case time complexity is approximately proportional to n²/4.

The worst-case and average-case time complexities of Insertion Sort indicate that the algorithm's performance is quadratic, with the average case being more efficient than the worst case due to a smaller constant factor.

The worst-case time complexity refers to the scenario where the input array is in reverse order or nearly sorted in reverse order. While the average-case time complexity represents the average performance of the algorithm over all possible inputs.

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4 - x < 9

Subtract 4 from both sides

4 - x - 4 < 9 - 4

Now we have:

- x < 5

Divide both sides by -1

x < -5

When you divide an inequality by -1, the sign flips

Thus, your answer would be:

x > -5

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Given :

R'S'T' is the image of RST

we will find the rule of translation using the coordinates of :

So, the rule will have the form :

So, the answer is :

T(7,-3)

7 units right ; 3 units down

The open spaces in sculpture are called negative spaces.

In sculpture, negative space refers to the empty or void areas that exist between and around the solid forms or objects. It is the space that surrounds and defines the positive elements or shapes in a sculpture. Negative space plays a crucial role in creating balance, contrast, and harmony in sculptural compositions.

When an artist sculpts an object, they not only consider the physical mass and volume of the object itself but also pay attention to the spaces that are created as a result. These empty spaces are as important as the solid forms and contribute to the overall aesthetic and visual impact of the sculpture. By carefully manipulating the negative spaces, artists can enhance the perception of the positive elements and create a sense of depth, movement, and tension within the artwork.

In contrast, positive space refers to the solid or occupied areas in a sculpture, while the terms "literal" and "linear" do not specifically relate to the concept of open spaces in sculpture. Therefore, the correct answer is negative spaces.

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Given :

The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and

11 3/4 feet.

To Find :

The length (in ft) of the fence needed to enclose the garden.

Solution :

First simplifying the given mixed numbers :

8 1/3 = 25/3 feet

17 1/4 = 69/4 feet

17 1/2 = 35/2 feet

11 3/4 = 47/4 feet

Now, length of fence needed to enclose the garden is :

\(L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet\)

Hence, this is the required solution.

A circle with center (0, 0) passes through the point (3, 4).  The area of the circle is approximately 78.5 square units.

To find the area of the circle, we need to know its radius. We can use the distance formula to find the distance between the center (0, 0) and the point on the circle (3, 4):
d = sqrt((3-0)^2 + (4-0)^2) = 5
So the radius of the circle is 5 units. Now we can use the formula for the area of a circle:
A = πr^2
Substituting r = 5, we get:
A = π(5)^2 = 25π
To the nearest tenth of a square unit, we can approximate π as 3.14 and round the answer to one decimal place:
A ≈ 78.5 square units
So the area of the circle is approximately 78.5 square units.
Your question about the area of a circle.
A circle with center (0, 0) that passes through the point (3, 4) has its radius determined by the distance formula between the center and the point. The distance formula is:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Applying the distance formula to our given points:
Radius = √[(3 - 0)^2 + (4 - 0)^2] = √[3^2 + 4^2] = √(9 + 16) = √25 = 5
Now that we have the radius (5), we can calculate the area of the circle using the formula:
Area = π * (radius^2)
Area = π * (5^2) = π * 25 ≈ 78.5
To the nearest tenth of a square unit, the area of the circle is approximately 78.5 square units.

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