A national pizza chain collected data from 189 stores about pizza orders on a busy Saturday. The number of pizzas ordered from 15 random stores is below. 28, 53, 35, 66, 35, 28, 66, 48, 53, 53, 66, 53, 66, 66, 35 If the sample was representative of the entire chain, what was the mode of the number of pizzas ordered for all 189 stores? A. 50.07 B. 48 C. 53 D. 66
please hurry ;(

Let's call the cost of each video game "x". We can set up two equations based on the information given:

4x + 2(0.01) = 20.92 (the 0.01 represents the commission fee for each phone)

4x = 20.92 - 0.02

4x = 20.90

x = 5.225

So each video game costs $5.225.

We can double-check our answer using the information about the friend's sales:

4(5.225) + 3(0.01) = 23.44

20.90 + 0.03 = 23.44

23.44 = 23.44

So our answer is correct.

Answer:

Bozo's rate of reading in words per minute is 75 (300 words / 4 minutes = 75 words/minute).

Step-by-step explanation:

Mark Brainliest!!

Answer: 75 words per minute

Step-by-step explanation:

     We will divide 300 words by 4 to find the rate of words per minute since the original rate is words per four minutes.

                       300 / 4 = 75 words per minute

The statements that defines the term resources is A. materials that help you achieve your goals.

Resource  can be described as all the materials available  that is available in individual environment  and can be seen as one that is  technologically accessible.

It should be noted that resources do help us to achieve most of our goals and can be seen as one that is economically feasible  as welll as culturally sustainable and they serves as things that can help us and thjat can  satisfy our needs and wants which is needed on daily basis.

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The value of the smaller of the two missing sides (the second leg) is,

⇒ 144 units

We have to given that;

The length of one of the legs of a right triangle is 17.

And, The lengths of the other two sides are consecutive integers.

Hence, Let the smallest of the other legs be x,

And, the hypotenuse be x + 1.

So, By using the Pythagorean theorem as;

⇒ 17² + x² = (x + 1)²

⇒ 289 + x² = x² + 1 + 2x

⇒ 2x = 288

⇒ x = 144

Thus, The value of the smaller of the two missing sides (the second leg) is,

⇒ 144 units

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Answer:

v=-5

Step-by-step explanation:

Answer:

[tex]23 = 10v - 7 \\ 23 + 7 = 10v \\ 30 = 10v \\ v = 3 \\ \\ [/tex]

The probability that at least one of the three users is more careful is 0.936.

We need to find the probability that a single randomly selected Internet user is more careful, which is 0.60.

The probability that none of the three users are more careful is (0.40)^3 = 0.064.

Therefore, the probability that at least one of the three users is more careful is 1 - 0.064 = 0.936.

Rounding to three decimal places, the answer is 0.936.

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It will take the team 65 days to complete the maintenance of the entire sewage pipe

From the question, we have the following parameters that can be used in our computation:

Sewage pipe = 52 miles

Distance covered each day = 4/5 miles

Using the above as a guide, we have the following:

Number of days = Sewage pipe /Distance covered each day

Substitute the known values in the above equation, so, we have the following representation

Number of days = 52/(4/5)

Evaluate the quotient

Number of days = 65

Hence, the number of days is 65

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Answer:

Step-by-step explanation:

The value of the expression 9 squared will be 81.

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The value will be:

= 9²

= 9 × 9.

= 81

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The lengths of the legs, the circumference and the radius of the circles are;

First part; The diameter = 18 units

The second leg = 9 units

Second part; The circumference = 34·π units

Third part; The radius is r = 36 cm

The radius of a circle is the distance from the center to the circumference.

First part;

cos(30°) = 9·√3 ÷ The diameter = (√3)/2

The diameter = (9·√3) ÷ ((√3)/2) = 18

The length of the other leg, using the relationship between special triangles is 18/2 = 9

Second part;

The lengths of the legs of the right triangle indicates that we get;

The square of the diameter, D² = 30² + 16² = 1156

The length of the diameter, D = √(1156) = 34

The formula for finding the circumference of a circle, C, based on the diameter can be presented as follows;

C = π × D

Therefore;

The circumference of the circle, C = π × 34

The circumference of the circle = 34·π units

Third part

The length of the 20° arc = 4·π cm

Therefore;

4·π = 2·π·r × 20/360

Where;

r = The radius of the circle

Therefore;

r = (360/20) × 4·π ÷ (2·π) = 36

The radius of the circle, r = 36 cm

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The value of Q₃ of the data represented by the box plot is,

⇒ Q₃ = 30

Given that;

A box plot is shown in figure.

Now, We have been given an image of a box plot and we are asked to find the value of third quartile represented by our given box plot.

Since, we know that the upper or 3rd quartile is represented by the last line of the box.

We can see that 1st line of our box is at 20 ,so it will be 1st or lower quartile.  

And, The middle line is at 25, so median for our given box plot is 25.

The last line of the box is at 30, which is representing the upper or third quartile of our given box plot.

Therefore, the third quartile, is 30 for our given box-plot.

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The apex angle |‹aed| of the rectangular base pyramid is equal to 14°.

In a rectangular base pyramid, the base is a rectangle and the apex (or top point) is directly above the center of the rectangle.

The apex angle is the angle formed by the edges of the pyramid at the apex. In a rectangular base pyramid, the apex angle depends on the dimensions of the rectangle base and the height of the pyramid. It can be calculated using trigonometric functions.

The apex angles bec and aed formed by the opposite width of the rectangle base are equal.

In conclusion, the apex angle |‹aed| of the rectangular base pyramid is equal to 14°.

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Based on Joey's debt-to-income ratio, the maximum monthly rent payment he can make and still maintain the DTI ratio would be; b. $898.

WE are given that Joey has a DTI ratio of 36% which means that his maximum debt payment should be 36% of his income.

This amount would be:

= DTI x monthly income

= 36% x 3,600

= $1,296

Maximum monthly rent can be found as:

= Maximum monthly debt payment - Car payment - Credit card payment

= 1,296 - 178 - 220

= $898

In conclusion, option B is correct.

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The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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The average rate of change for function f(x) = 1.85x² to the nearest tenth over the interval 10 ≤ x ≤ 20 is equal to 55.5 (Rounding to the nearest tenth).

Function models the cost of a square carpet

f(x) = 1.85x²

The average rate of change of a function f(x) over an interval [a, b] is,

Average rate of change = [f(b) - f(a)] / (b - a)

The average rate of change of f(x) over the interval 10 ≤ x ≤ 20.

Using the given function, we have,

f(10) = 1.85(10)²

       = 185

f(20) = 1.85(20)²

        = 740

Now calculate the average rate of change,

average rate of change

= [f(20) - f(10)] / (20 - 10)

= (740 - 185) / 10

= 55.5 (Rounding to the nearest tenth)

Therefore, the average rate of change of function f(x) over the interval 10 ≤ x ≤ 20 is approximately 55.5.

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The distance is given as 272.98 feet.

The measurement of the angle of depression relates to the formation between a horizontal line and the observer's sightline to an object or point that exists beneath their level.

Therefore, it demonstrates the formed degree between the observer's line of vision towards a subject and the horizontal flatness visible when looking downwards at it from afar.

This notion is prevalent throughout trigonometry and play a vital role in areas including surveying, navigation and architecture. The degrees obtained from this practice are generally calculated via angles, with a complete 90-degree measure indicative of viewing straight downward over the designated target.

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Answer: the answer is 48 or b

Step-by-step explanation:

Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s-a)(s-b)(s-c))

where s is the semiperimeter, which is half the perimeter of the triangle:

s = (a + b + c) / 2

In this case, the side lengths are a = 9, b = 12, and c = 18. Therefore, the semiperimeter is:

s = (9 + 12 + 18) / 2 = 39 / 2

Using Heron's formula, we can now calculate the area of the triangle:

Answer:

  total deposits: $35,100

Step-by-step explanation:

You have the value of an annuity earning 5% with payments of $65 a month for 45 years as $131,718.42. You want to know the total value of payments.

12 payments per year of $65 for 45 years will have a total value of ...

  12·65·45 = 35100

Total deposits will be $35,100.

6,000 mL is equal to 6 litres

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that 6,000 mL  is equal to 6L

One litre is equal to 1000 ml

1 l = 1000 ml

6 l=6000 ml

Hence,  6,000 mL is equal to 6 litres

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Approximately, the amount of money, in cents, that Celine will save in 12 years is: B. 300

In this scenario, the years would be plotted on the x-axis (x-coordinate) of the scatter plot while the money (in cents) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the years and the money (in cents), an equation for the line of best fit is given by

y = 26.9x - 18.5

when x = 12, the amount of money, in cents, that Celine will save in 12 years is given by;

y = 26.9(12) - 18.5

y ≈ 300 cents.

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The frequencies based on the information are are 100, 40, and 6.

In the formula of the median, we have to calculate cumulative frequencies and have to use cumulative frequency of the interval previous to the median class. Also, in the formula of mode, frequencies are used and not the cumulative frequencies.

140 - y = 100

y = 40

substituting y and x in equation 1 is:

x + y + z = 146

100 + 40 + z = 146

z = 6

Therefore, the missing frequencies are 100, 40, and 6.

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As per the given percentage, the value of the loan 10 years after it starts is £4506.32.

We know the values of P and A for the first two years. So, we can use these values to find the value of r. Let's use the formula for the first year:

2645 = 2500(1 + r/1)¹ˣ¹

Simplifying the equation, we get:

1 + r = 2645/2500

1 + r = 1.058

r = 0.058 or 5.8%

Therefore, the interest rate per annum is 5.8% (to 1 decimal place).

Now, let's move on to finding the value of the loan after 10 years. We can use the same formula for compound interest, but we need to substitute the values of P, r, n, and t accordingly. Here's the formula:

A = P(1 + r/n)ⁿˣ

Where:

P = 2500

r = 0.058

n = 1 (as the interest is compounded annually)

x = 10

Substituting these values, we get:

A = 2500(1 + 0.058/1)¹ˣ¹⁰

A = 2500(1.058)¹⁰

A = 4506.32

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The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

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complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

Answer:

2,600.

Step-by-step explanation:

Rounding 2,561 to the nearest hundred means rounding it to the nearest multiple of 100.

To do this, we need to look at the digit in the tens place, which is 6. Since 6 is greater than or equal to 5, we round up the digit in the hundreds place, which is 25, by 1.

Therefore, rounding 2,561 to the nearest hundred gives us 2,600.

Answer:

tennis team

Step-by-step explanation:

because they ran 8 miles is 7 days to get equal amount of days you multiply by 2 on both 8 miles and 7 days so they ran 16 miles in 14 days thats y tennisbteam ran more miles

The average rate of change for the given intervals are:

To compute the average rate of change for any given interval, determine the change between the function values at the endpoints and divide this value by the difference in independent variable values. it can be expressed as follows:

Average Rate of Change = (f(b) - f(a)) / (b - a)

The average rate of change for each point in the interval is determined form the graphs and used to solve for the average rate of change

(-5, -5) and (-4, 0):

Average Rate of Change = (0 - 0) / (-4 - (-5)) = 0 / 1 = 0

(-4, 0) and (-3, 3):

Average Rate of Change = (3 - 0) / (-3 - (-4)) = 3 / 1 = 3

(-4, 0) and (-1, 3):

Average Rate of Change = (3 - 0) / (-1 - (-4)) = 3 / 3 = 1

(-3, 0) and (-1, 0):

Average Rate of Change = (0 - 0) / (-1 - (-3)) = 0 / 2 = 0

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The requried insurance premium of a bus whose insured value is GH¢250.00 is GH¢130.80.

The insurance premium of a bus is GH¢93.30 plus 15% of the insured value.

Let's first calculate 15% of¢250.00:

15% of GH¢250.00 = 0.15 x 250.00 = GH¢37.50

Now, we can add this amount to the base premium of GH¢93.30 to find the total insurance premium for the bus:

GH¢93.30 + GH¢37.50 = GH¢130.80

Therefore, the insurance premium of a bus whose insured value is GH¢250.00 is GH¢130.80.

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It takes A. 5 months to pay off (Mini) the highest interest card.

To determine the number of months it takes to pay off the credit card debt, we shall calculate the monthly payment to pay off the highest interest card first.

First, calculate interest accrued on each card per month:

Murk: (5.6/100)/12 * $675.49 = $2.98 per month

Mini: (9.85/100)/12 * $902.43 = $7.42 per month

Next, we determine the order in which to pay off the cards, which is highest interest card first, we can allocate the entire $375 to Mini and leave a minimum for interest accrued on Murk.

This should be a percentage of the balance.

Assuming it's 2% of the balance, which is $13.51.

So, in month 1, we will pay:

Mini: $375

Murk: $13.51

Leaving these balances:

Murk: $675.49 + $2.98 - $13.51 = $664.96

Mini: $902.43 - $375 + $7.42 = $534.85

In month 2:

Mini: $534.85 + $7.42 = $542.27

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $664.96 + $2.98 - $16.49 = $651.45

Mini: $542.27 - $375 + $7.42 = $174.69

month 3:

Mini: $174.69 + $7.42 = $182.11

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $651.45 + $2.98 - $16.49 = $638.94

Mini: $182.11 - $174.69 + $5.52 = $12.94

month4:

Mini: $12.94 + $7.42 = $20.36

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $638.94 + $2.98 - $16.49 = $625.43

Mini: $20.36 - $12.94 + $0.54 = $8.96

month 5:

Mini: $8.96 + $7.42 = $16.38

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $625.43 + $2.98 - $16.49 = $612.92

Mini: $16.38 - $8.96 = $7.42

So, Mini's balance is paid off here.

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Note:

And we can allocate the entire $375 budget to Murk.

This means we will pay off Murk in month 6:

Murk: $612.92 + $2.98 + $375 - $13.51 = $977.39