The mode of the raw data given as: 4, 7, 4, 3, 2, 7, 7, 6, 4, 7, 8

Answer:

Mean: 3x

Median: 3x

Mode: None

Step-by-step explanation:

The mean is the sum of all the numbers divided by how many there are.

x + 2x + 3x + 4x + 5x = 15x and 15x/5 = 3x. So the mean is 3x.

The median is the number in the middle when the values are in order from least to greatest. The median is 3x.

The mode is the number that appears most often in the data set. In this case, the mode is none because no number appears more than the other numbers.

Answer:

where are the angles or image

Answer:

x = 72 degrees

y = 9.125 cm

Step-by-step explanation:

the sum of degrees of all angles in a triangle is 180.

because the triangles are similar, all the angles must be the same in both. and the side lengths of one triangle must all have the same scaling factor compared to the other triangle.

the similarity tends is that the angle at E is the same as at B (48 degrees). so, then the angles at C are 60 degrees. that leaves for the angle at D (x) 180 - 60 - 48 = 72

BC (8) is scaled to CE (10) by the factor 10/8 = 5/4

so, y must have the same scaling factor in relation to AB (7.3)

y = 7.3 × 5/4 = 9.125

Answer:

A square of side length 40 m will give the maximum area of the play area

Step-by-step explanation:

Mathematically, it has been established that a square gives the maximum area of a quadrilateral

Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square

From what we have, we know that the perimeter of the fencing is 160 m

To get the side length, we divide the perimeter by 4

Side length of the shape would be 160/4 = 40 m

Answer:

c = 100 or 10^2

d = 3125 or 5^5

Step-by-step explanation:

c. the answer for C is 10^2 because you just subtract the exponents same goes for d.

Answer: 12 km\h north

Step-by-step explanation:

I actually have good guesses

Velocity = 12 km/h

-

Velocity can be defined as the division between distance traveled and the time it took for that distance to be traveled:

Velocity = Distance / Time

With the above information in mind, we can calculate the velocity of the bicycle:

Velocity = 18 km / 1.5 h

Velocity = 12 km/h

Thus the velocity of the bicycle is 12 kilometers per hour.

The measurement of angle P in the diagram given in the question is 61.93 °

The trigonometric ratios which has been proven as regarding right angle triangles are given below:

Sine θ = Opposite / Hypothenus

Cos θ = Adjacent / Hypothenus

Tan θ = Opposite / Adjacent

With above information in mind, we can easily determine the value of angle P in the question. This is illustrated below:

From the question given above, the following data were obtained:

Sine θ = Opposite / Hypothenus

Sine P = 15 / 17

Sine P = 0.8824

Take the inverse of sine

P = Sine⁻¹ 0.8824

P = 61.93 °

Thus, the value of angle P in the diagram is 61.93 °

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Answer:

[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]

Step-by-step explanation:

we are given a inverse trig

we want to figure out the value of [tex]\theta[/tex]

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]

9514 1404 393

Answer:

  NO

Step-by-step explanation:

If input values are repeated, the relation is not a function. A function has only one output value for any input value.

Here, an input of 1 has 4 output values—not a function.

Answer:

(8,-2)

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Put numbers in order, 1,3,3,4,5,8,9,12

Divide by 2 because there are 2 numbers

Because 4.5 is in the middle of 4 and 5 that is your median

Answer:

7^12

Step-by-step explanation:

When dividing two exponents by the same base, it is the same as subtracting the power (14-2).

Step-by-step explanation:

for the first one

subtract 10 from 5 times a certain number

Step-by-step explanation:

To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.

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¯\_(ツ)_/¯

4+3

7

the answer is 7.

Answer:

[tex] \huge \boxed{\displaystyle 7}[/tex]

Step-by-step explanation:

we would like to simplify the following expression:

[tex] \displaystyle (2 + 2) + (4 - 1)[/tex]

in order to do we can consider the order of PEMDAS which is the abbreviation of Parentheses, Exponent, Multiplication,or Division, Addition or substraction

since Parentheses come first we'll simplify parentheses:

[tex] \displaystyle 4 + 3[/tex]

simplify addition:

[tex] \displaystyle 7[/tex]

and we are done!

Answer:

B

Step-by-step explanation:

Answer:

a. rectangle

Step-by-step explanation:

i just used desmos so i have no idea how to explain it

Answer:

y=-1/4x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all the # and see what you get

Answer:

A

Step-by-step explanation:

mark me brainliest pls

Answer:

A. 24

Step-by-step explanation:

The angle formed by two secants intersecting outside of a circle is equal to half of the difference of the intercepted arcs.

In other words, ∠1 is 104 minus 56, divided by 2.

[tex]\frac{104-56}{2} =\frac{48}{2}= 24[/tex]

Answer:

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Required

Solve

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Take LCM

[tex]\frac{2}{2} + \frac{1}{4} = \frac{4 + 1}{4}[/tex]

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Answer:

2/2 + 1/4 is 1.25 and               b hh b b b b b b b b b b b b b b

Step-by-step explanation:

Answer:

B. 3x+1

Step-by-step explanation:

(3x+3)+(2x+1)+(4x+2)=9x+6

(12x+7)-(9x+6)=3x+1

Answer:

c. infinitely many solutions

Step-by-step explanation:

hope this helps :)

Answer:

(2x+5)x(4x+3)

Step-by-step explanation:

have a nice day

Answer:

C) 32

Explanation:

it's adding by 4, 6, 8, and then 10; 22 + 10 = 32, so C will be the answer.

Hope this helps!

Answer:

840

Step-by-step explanation:

7 * 6 * 5 * 4 = 840

The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth = ⁷P₄ = 840

Hence, The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.

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Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

[tex]Y_{TC}=2+3q[/tex]

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

At break - even points the profit is zero. It means the cost and revenue are equal.

[tex]Y_{TC}=Y_{TR}[/tex]

[tex]2+3q=5\sqrt{q}[/tex]

Squaring both sides, we get

[tex](2+3q)^2=(5\sqrt{q})^2[/tex]

[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]

[tex]4+12q+9q^2-25q=0[/tex]

[tex]4-13q+9q^2=0[/tex]

Splitting the middle term, we get

[tex]4-4q-9q+9q^2=0[/tex]

[tex]4(1-q)-9q(1+q)=0[/tex]

[tex](4-9q)(1-q)=0[/tex]

Using zero product property, we get

[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]

[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]

[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]

Therefore, the break even points are 0.444 and 1.

Answer:

D

Step-by-step explanation:

i think you know this already but it's D!

Answer:

5%

Step-by-step explanation:

Answer:

I can't read the question it's too blurry