The sum of two numbers is 48. The small number is 6 less than the big number. What is the small number?

Answer:

d.mean =15, median =15.5, mode = 16

Step-by-step explanation:

hello,

to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.

to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.

last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.

hope this helped!

Answer:

A, 0.4

Step-by-step explanation:

took the test! saw the other answer was wrong

The constant in the equation is 0.24

Data;

To find the constant in this data, we are given a formula which is

[tex]height = \frac{constant}{width}[/tex]

But the width can be found from subtracting the values from two consecutive width

[tex]width = 0.8 - 0.5 = 0.3[/tex]

The height that corresponds to this width is 0.8.

Let's substitute this in the formula and solve

[tex]height = \frac{constant}{width} \\constant = height * width\\constant = 0.8 * 0.3 = 0.24[/tex]

The constant in the equation is 0.24

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Answer: y = one sixteenth(x − 4)^2 + 2

Step-by-step explanation:

If the parabola is written as:

y = a*x^2 + b*x + c

then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

y =  1/6*(x + 4)^2 - 2  =  1/6x^2 + (8/6)*x + (16/6 - 2)

the vertex (4, 2)

then

x = -b/2a = 4.

this means that a and b must be of different sign, then the only correct option can be:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

where:

x-vertex  = (8/6)/(2/6) = 4 as we wanted.

when we evaluate this function in x = 4 we get

y = 1/6*( 4 - 4)^2 + 2 = 2.

So the correct option must be: y = one sixteenth(x − 4)2 + 2

Answer: The correct answer is the first answer, a.  y = one sixteenth(x − 4)2 + 2

Answer:

z=1

Step-by-step explanation:

3x7z+1

21z+3

divided by 3

7z

divide by 7

z=1

Answer:

Z<0

Step-by-step explanation:

21z+3<3

21z<3-3

21z<0

Z<0

Answer:

answer b

Step-by-step explanation:

Answer b is definitely the correct one.

The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.

The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.

We have given that,

a. There is a probability that the outcome is within 1 standard deviation of the mean.

b. There is a probability that the outcome is within 2 standard deviations of the mean.

c. Standard deviations are not reliable, so the probability cannot be determined.

d. There is a probability that the outcome is within 3 standard deviations of the mean.

The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.

The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.

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Answer:

I believe that the answer would be $4,100

Step-by-step explanation:

5,000x0.06x3=900

5,000-900=4,100

Answer:

|78|-|70| = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter of the rectangle = 332m

Perimeter of a rectangle = 2(L+b)

Breadth = 75m

= 2 ( L + 75) = 332

2L + 150 = 332

2L = 332-150

L = 182/2

L= 91m

Answer:

x=1 , y = -1

Step-by-step explanation:

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

Add the equations together

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

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

   -2.4 y = 2.4

Divide by -2.4

y = -1

Now find x

2.4x +1.2y = 1.2

2.4x +1.2(-1) = 1.2

2.4x -1.2 = 1.2

Add 1.2 to each side

2.4x -1.2+1.2 = 1.2+1.2

2.4x = 2.4

Divide by 2.4

x = 1

Answer:

x=1

Step-by-step explanation:

Answer:

Similar triangles are (roughly speaking) triangles that have the same angles and the same ratio of the length of their sides

We can use ratios to show that the triangles are not similar

14:20 as a fraction is 14/20 as a decimal is 0.7

12:16 as a fraction is 12/16 as a decimal is 0.75

The side lengths are not the same proportion as shown by the different decimal, so the triangles are not similar

Answer:

120

Step-by-step explanation:

To solve this question we would be using combination formula.

The formula for combination is given as:

C(n, r) = nCr

nCr = n!/r! ×(n - r)!

In the above question,

n = 10 men

r = 3 operators

Hence,

nCr = n!/r! × (n - r)!

10C3 = 10! /3! × (10 - 3)!

10C3 = 10!/3! × 7!

10C3 = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 /(3 × 2× 1 ) ×(7 × 6 × 5 × 4 × 3 × 2 × 1)

10C3 = 10 × 9 × 8 / 3 × 2× 1

10C3 = 720/6

10C3 = 120

Therefore, the number of groups of 3 operators that are possible is 120.

Answer:

93 hamburgers

Step-by-step explanation:

let cheeseburgers=c

let hamburgers=h

c=3h

c+h=372

Substitute c for 3h

3h+h=372

4h=372

h=93

c=h*3=93*3=279

279 cheeseburgers 93 hamburgers

Answer:B.

Step-by-step explanation:

Answer:25000 because 1 m is equal to 1000mm

PLEASE MARK ME AS BRAINLIEST

Answer: C

Step-by-step explanation:

The formula for surface area of a cylinder is A=2πrh+2πr². Since we know the radius and height, we can directly plug it into this formula to find surface area.

A=2π(9)(12)+2π(9²)

A=2π(108)+2π(81)

A=216π+162π

A=378π

A=1186.92 units²

Answer:

x + y ≥ 3

x + y ≤ 3

Step-by-step explanation:

In the picture attached, the problem is shown.

The solution to the system:

x + y ≥ 3

x + y ≤ 3

is the line x + y = 3

In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.

Answer:

50√3/3

Step-by-step explanation:

30-60-90 triangle

50:x = 2sqrt3 : 2

50*2 =100

100/2sqrt3 = ​3

​50√

​3

​

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Answer:

None. (or B)

Step-by-step explanation:

A)  AC≅ZY

B) AZ≅

C) ∠A ≅ ∠C

D) ∠B ≅ ∠X

Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.

The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Given that, Δ ABC has been translated right to create triangle Δ XYZ

We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.

That means Δ ABC ≅ Δ XYZ Therefore, we get,

Congruent parts are;

Angles:-

∠ A ≅ ∠ X,

∠ B ≅ ∠ Y and

∠ C ≅ ∠ Z

Side:-

AB ≅ XY,

BC ≅ YZ and

AC ≅ XZ

Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

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Answer: hi the answer is 3

Step-by-step explanation:

Answer:

Only option C shows a function

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.

In option A, a vertical line would cross two values, so it is not a function.

The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.

Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.

Answer:

y = (-2/125)(x - 50)² + 40

Step-by-step explanation:

The total length of the bridge is 100 meters.

Maximum height always occurs at midpoint of x.

So for x=50 meters , y = 40 meters.

As the vertex is given at the maximum height,  Vertex can be defined at the point (50,40)

We know that the general equation for vertical parabola is:

y = a(x - h)² + k

Where (h,k) = Vertex = (50,40)

Substitute in the equation:

y = a(x - 50)² + 40 ⇒ Equation (i)

We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.

Substitute any point in the above equation

Substituting (100,0) in the equation

0 = a(100 - 50)² +40

Solve the equation for a:

a = - 2/125

Substitute a in Equation (i)

y = (-2/125)(x - 50)² + 40

Answer:

(x + 3)(x² – 3x + 7)

Step-by-step explanation:

To express x³ + 2x + 21 in the form of (x + 3)(px² + qx + r),

we need to divide (x³ + 2x + 21) by

(x + 3), since (x + 3) is a factor of

(x³ + 2x + 21)

See attached photo on how to divide (x³ + 2x + 21) by (x + 3).

From the attached photo,

(x³ + 2x + 21)/ (x + 3) = x² – 3x + 7

Therefore,

x³ + 2x + 21 => (x + 3)(px² + qx + r)

x³ + 2x + 21 => (x + 3)(x² – 3x + 7)

Luis debia 12900 centavos y paga 1546 centavas entonces el todavía debe 11354 centavos

Answer:

The correct option is;

Substitute x = 0 in the function  and solve for f(x)

Step-by-step explanation:

The zeros of a function are the values of x which produces the value of 0 when substituted in the function

It is the point where the curve or line of the function crosses the x-axis

A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,

Therefore, substituting x = 0 in the function  can't be used to find the zero's of a function

B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis

C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function

d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0

Answer: Substitute x = 0 in the function and solve for f(x).

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!

Answer:

x = 4

Step-by-step explanation:

Since the two base angles are equal, the sides must be equal

4x-8 = x+4

Subtract x from each side

4x-x -8 = x+4-x

3x -8 =4

Add 8 to each side

3x-8+8 = 4+8

3x= 12

Divide by 3

3x/3 = 12/3

x = 4

Answer:

8

Step-by-step explanation:

because yes.

Answer:

y = [tex]\frac{4\sqrt{3} }{3}[/tex]

Step-by-step explanation:

We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.

You can get that by finding the smaller value of the larger triangle.

[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]

x[tex]\sqrt{3}[/tex] = 8

x = [tex]\frac{8}{\sqrt{3} }[/tex]

x = [tex]\frac{8\sqrt{3} }{3}[/tex]

That is the hypotenuse of the smaller triangle. To find y...

[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]

2y = [tex]\frac{8\sqrt{3} }{3}[/tex]

y = [tex]\frac{4\sqrt{3} }{3}[/tex]

Hope this helps!

Answer: C

Step-by-step explanation:

In the quadrant IV, it is only a cos θ that is positive.

Given that tan θ = –8∕15

Where tan θ = opposite ÷ adjacent

Where opposite = 8 and adjacent = 15

We can find the hypothenus by using pythagorean theorem

Hypothenus = sqrt(15^2 + 8^2)

Hypothenus = sqrt(289)

Hypothenus = 17.

Sin θ = opposite ÷ hypothenus

Sin θ = 8/17

Since Sin θ is also negative in the fourth quadrant, therefore

Sin θ = - 8/17

Option C is correct.

Answer:

A rabbit can run 3 miles in one minute.

Step-by-step explanation:

45 : 15

3 : 1

A rabbit can run 3 miles in one minute.