The data set represents the heights, in centimeters, of ten model bridges made for an engineering
competition
13, 14, 14, 16, 16, 16, 16, 18, 18, 19
What is the mean?

Answer:

$2.00 each day so $2.00 x 5 = $10

Answer:

605

Step-by-step explanation:

11x55=605

Answer:

100

Step-by-step explanation:

#20 naira - 20 * 100

= 2000kobo

2000/20

100

QED✅✅

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For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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Correct me if im wrong po

Answer:

20

Step-by-step explanation:

from: BODMAS

Bracket

Of

Division

Multiplication

Addition

Subtraction

We first deal with brackets, division and then subtraction last.

13 - 2 (1- 15) ÷ 4

13 - 2(-14) ÷4

13 -(-28÷4)

13 - (-7)

13 +7

= 20

The function F(x)=0.2F(x)=0.2 is not an exponential decay function. It is a constant function where the output value is always equal to 0.2, regardless of the input value xx.

An exponential decay function is typically in the form f(x)=a⋅bxf(x)=a⋅bx, where aa and bb are constants and bb is a value between 0 and 1. As xx increases, the exponential decay function decreases exponentially.

For example, an exponential decay function could be f(x)=0.2⋅(0.5)xf(x)=0.2⋅(0.5)x, where the base 0.50.5 represents the decay factor. As xx increases, the value of the function decreases rapidly.

In summary, an exponential decay function follows the pattern of decreasing values as xx increases, while the function F(x)=0.2F(x)=0.2 represents a constant value regardless of the input xx.

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Answer:

p^m+n

Rember than please

<3

Red

Answer:

52 cm

Step-by-step explanation:

The missing length is equal to 11 - 4 which is 7

7 + 11 + 4 + 15 + 5 + 10 = 52

The equation of the direct variation is expressed as: y = 1/8x.

The equation of a direct variation between two variables, say x and y, is expressed as y = kx, where k is the constant of proportionality, if y varies directly as x.

Therefore, substitute y = 2 and x = 16 into y = kx to find the value of k:

2 = k(16)

Divide both sides by 16

2/16 = k

1/8 = k

k = 1/8.

To write the equation of the direct variation, substitute k = 1/8 into y = kx:

y = 1/8x.

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The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)

             Solve x²-5x+6

\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)

(x-2)(x-3)

\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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The mean is approximately 9, the median is 9, the mode is 8, and the range is 7.

To find the mean, we add up all the numbers in the data set and divide by the total number of numbers:

Mean = (7 + 6 + 8 + 12 + 9 + 13 + 8) / 7 = 63 / 7 ≈ 9

So the mean is approximately 9.

To find the median, we need to arrange the numbers in order from smallest to largest:

6, 7, 8, 8, 9, 12, 13

Since there are an odd number of values in the data set, the median is the middle value, which is 9.

To find the mode, we need to look for the value that occurs most frequently in the data set. In this case, 8 occurs twice, which is more than any other value, so the mode is 8.

To find the range, we need to subtract the smallest value from the largest value:

Range = largest value - smallest value = 13 - 6 = 7

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A square has 2 diagnals. imagine 2 lines connecting every opposite angle of the square. that leaves 2 intersecting lines. Sinse the two lines are intersecting, they form angles. Because there are only 2 lines, there are 4 angles. The answer is 4.

A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Area of square = Side²

The perimeter of the square = 4× side

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

There are two diagonals in every square.

The angle of intersection between both diagonals is 90 degrees.

The number of angles formed by diagonals = 4

Hence "A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4".

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Step-by-step explanation:

Creating your own shape is NOT a necessary characteristic of a tessellation. A tessellation is a repeating pattern of congruent shapes without gaps or overlaps. The shapes used in a tessellation can be any regular or irregular polygon, but they must be congruent to each other. Creating your own shape would result in a non-congruent shape and therefore would not meet the definition of a tessellation.

The answer would be D. Tessellation involves tiling and is a display of shapes fitted together on a surface, which means that tessellation does not only compose of one shape. It has to have a repeating pattern with no gaps. That can be achieved with a variety of shapes.

At the given point,

\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)

Then the level curve is

\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)

which is a circle centered at the origin with radius 5 - quite easy to sketch.

Explanation:

The horizontal component is found using cos fxn

80 x cos 20 =  75.2 pounds

4 zeroes basically means \(10^4\)

$80=2^3\cdot 10$ and $70=7\cdot10$

there will be $10^2$ when you take the product not $10^4$

hence it will have 2 zeroes not 4

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

congruent angles

Step-by-step explanation:

Because congruent angles mean when two angles have the same measure.

Answer:

number 2 is the answer............

Congruent Angles

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer:

Domain of a function means the set of values of the variable for which the given function exists.

(g circle f) (x) means g{f(x)}.

g{f(x)} will exists for all the real values of x except x = 7 and that particular x for which f(x) = -3.

Hence the domain of g{f(x)} will be all real values except x = 7 and the x for which f(x) = -3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

Answer:

the answer is below

Step-by-step explanation:

We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)

in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean

x1 x2 probabilityP(x1,x2) sample mean

190 190    1/16                 190

190 100    1/16                 145

190 272    1/16                 231

190 74    1/16                 132

100 190    1/16                 145

100 100    1/16                 100

100 272    1/16                 186

100 74    1/16                        87

272 190    1/16                 231

272 100    1/16                 186

272 272    1/16                 272

272 74    1/16                 173

74 190    1/16                 132

74 100    1/16                 87

74 272    1/16                 173

74 74    1/16                 74

Summarizing above with adding duplicate values

sample mean   probability

       74              1/16

      87               1/8

    100                1/16

    132                1/8

    145                1/8

    173                1/8

   186                1/8

   190               1/16

    231               1/8

   272               1/16

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

My apologies for submitting the incorrect answer.

The y-intercept is D) 3

The slope is C) -1/3

Answer:

Slope: [C] -1/3

Y-intercept: [D] 3

Step-by-step explanation:

Part A:

What is the slope of line t?

How to Find Slope:

Find any two order pairs on the line.I will be using:(0,3) (6,1)Then using these two order pairs we substitute it to-  \({{\frac{y_2-y_1}{x_2-x_1}}\) to find slope.

Knowing that:

(0,3) ⇒ 0 = x₁ and 3 = y₁

(6,1) ⇒ 6 = x₂ and 1 = y₂

Now, using \({{\frac{y_2-y_1}{x_2-x_1}}=m\) to find slope:

\({{\frac{y_2-y_1}{x_2-x_1}}\\\\= {{\frac{1-3}{6-0}}=-\frac{2}{6} =-\frac{1}{3}\)

As a result, the slope of line t is -1/3. Which means the answer is [C] -1/3.

Part B:

Since we already find slope. We can use slope intercept form to find y-intercept.

Slope intercept form ⇒ y = mx + b

Note - b - in slope intercept form is the y-intercept

Using any given ordered pairs. I will be using (0,3) and substitute into slope intercept form:

Knowing that; 0 = x and 3 = y.

Thus,

3 = (-1/3)(0) + b                           { -1/3 × 0 = 0}

3 = b

Hence, y-intercept of line b is 3. Which means the answer is [D] 3.

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