a student reflects four point across the y ax is and recorded his work

Answer:

Step-by-step explanation:

The value of 4 + n when n = 17

4 + n =

4 + 17 = 21

Considering the given frequency polygon, the mean of the distribution is of:

E(X) = 57.1.

The frequency polygon works similarly to an histogram, giving the number of times that each observation happens, with the dot being placed at the center of each interval.

Considering the given polygon, the absolute frequencies are given as follows:

The sum of the absolute frequencies is given as follows:

10 + 7 + 8 + 2 + 3 = 30.

Hence the relative frequencies = probabilities are given as follows:

The mean is given by the sum of each outcome multiplied by it's probability, hence:

E(X) = 40 x 0.3333 + 52.5 x 0.2333 + 65 x 0.2667 + 77.5 x 0.0667 + 90 x 0.1 = 57.1.

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The value of f(x)/g(x)=x-2 for f(x)=x²-x³ + x² and g(x) = -x² and where x # 0 and the definition of function defines "function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)".

A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x². Any input for x results in a single output for y. Considering that x is the input value, we would say that y is a function of x. The property that every input is related to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

Here,

f(x)=2x²-x³

g(x)=-x²

f(x)/g(x)=(2x²-x³)/-x²

=x²(2-x)/-x²

f(x)/g(x)=x-2

The definition of function defines "function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)". The value of f(x)/g(x)=x-2 for f(x)=x²-x³ + x² and g(x) = -x² and where x # 0.

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The intensity of the dishwasher will be 44.44 times the maximum intensity.

Sound intensity, also known as acoustic intensity, is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Mathematically, we can write the intensity of sound as -

[tex]\mathrm {I} =2\pi ^{2}\nu ^{2}\delta ^{2}\rho c[/tex]

Given is the sound intensity as measured in decibels and its measurement for a dishwasher is 37 decibels.

The given formula is -

db = 10 log(I/I₀)

Substituting the values, we get -

37 = 10 log(I/I₀)

log(I/I₀) = (37/10)

log(I/I₀) = (37/10)

(I/I₀) = e ^ (37/10)

I/I₀ = 40.44

I = 40.44I₀

Therefore, the intensity of the dishwasher will be 44.44 times the maximum intensity.

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Solution:

Let each cubic block be represented with x

Let each spherical block be represented with y

Let each cylindrical block be represented with z

For A,

3x + y = 2y + z

For B,

3x = 5y

For c,

We want to find 3x + 3y

From

3x + y = 2y + z

3x +y -2y =z

3x-y = z-----------------------(m)

From B,

3x = 5y

Substitute 3x = 5y into (m) above

3x-y = z

5y-y = z

4y = z----------------------------------(b)

From C,

3x + 3y = 5y + 3y = 8y

3x + 3y = 2(4y)

3x + 3y = 2z

Recall, z = cylindrical block

The two blocks that will balance C is cylindrical block

The percentage error in the measurement of the number of student at the soccer game. given that 315 student was estimated and 350 student were actually at the game is 10%

The percentage error is the measure of the difference between an actual value and a estimate given as a percentage.

The percentage error of her estimate is found from the percentage error formula, as follows;

Where:

δv=The percentage error

[tex]v_A[/tex] = The approximate value or estimated value = 315

[tex]v_E[/tex] = The exact or correct value = 350

Therefore; [tex]\delta = \dfrac{|315 - 350|}{350} \times 100\%= 10\%[/tex]

The percentage error of her estimate is 10%

The method and information used in calculating the percentage error determines the value of the error in percentage, however, based on the values of estimated value of 315, and the actual value of 350, the percentage error is 10%

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Answer: 2500

Step-by-step explanation: 5x10 = 50. 50x50 = 2500

Answer:

2500

Step-by-step explanation:

A value that, when multiplied by itself, yields the number is the square root of a number.

The expression which is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex] is 16/49.

A radical symbol is used to represent a square root; the number or expression included within the radical symbol, designated by the letter a below, is known as the radicand.

A value that, when multiplied by itself, yields the number is the square root of a number. The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

Therefore, the correct answer is option A. [tex]$\frac{16}{49}$[/tex]

The complete question is:

Which answer is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex]?

A. [tex]$\frac{16}{49}$[/tex]

B. [tex]$\frac{\sqrt{4}}{\sqrt{7}}$[/tex]

c. [tex]$\sqrt{\frac{16}{49}}$[/tex]

D. [tex]$\frac{\sqrt[3]{16}}{\sqrt[3]{49}}$[/tex]

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Answer:

Increase

Step-by-step explanation:

You start at 15 yards then proceed to MOVE UP(Increase) 3 more yards getting you to 18.

Answer:

increase

Step-by-step explanation:

because your going 3 more yards on a number line you would travel right

Answer:

103.5

Step-by-step explanation:

Answer:

103.5

Step-by-step explanation:

The question is,

→ what is 1656 divided by 16?

Forming as problem,

→ 1656 ÷ 16

Let's solve the problem,

→ 1656 ÷ 16

→ 103.5

Thus, the answer is 103.5.

Answer:

n=2/5

Step-by-step explanation:

Please look at the image below! :D

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] n + [tex]\frac{3}{4}[/tex] n = [tex]\frac{1}{2}[/tex]            [tex]\frac{1}{2}[/tex] means the same as [tex]\frac{2}{4}[/tex]

[tex]\frac{2}{4}[/tex] n + [tex]\frac{3}{4}[/tex] n = [tex]\frac{1}{2}[/tex]

[tex]\frac{5}{4}[/tex] n = [tex]\frac{1}{2}[/tex]  multiply each side by [tex]\frac{4}{5}[/tex]

[tex](\frac{4}{5})[/tex][tex]\frac{5}{4}[/tex] n = [tex](\frac{4}{5})[/tex][tex]\frac{1}{2}[/tex]

n = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

3/10ths if im not wrong

ANSWER

EXPLANATION

Nick has 4 quarts of ice and he wants to split it with 9 members of the team.

To solve this, we have to convert quarts to cups. We have that:

1 quart = 2 pints

and

1 pint = 2 cups

This means that:

1 quart = 2 * 2 cups

1 quart = 4 cups

So, 4 quarts will be:

4 quarts = 4 * 4 cups

4 quarts = 16 cups

Therefore, dividing the ice cream among 9 people would mean that we have to divide 16 cups by 9 people.

That is:

The complete statement is:

1 quart equals 2 pints, which equals 4 cups, so 4 quarts equals 16 cups. Dividing the ice cream among 9 people means each gets 1 7/9 cup(s)​

Question: Troy made 5 out of 7 jumps on his dirt bike. What percentage of jumps did he make?

Answer:

Note that, the 7 jumps are 100 percent of the jumps. Therefore, we make a rule of three, that is:

that is equivalent to say the following equation:

percentage of jumps = (5x 100%) ÷ 7 = 500% ÷ 7 = 71.42 = 71,3

that is, approximately 71 %

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Earnings:

January = $2350

February = january + $500

March = twice as much (february)

Step 02:

March's earnings:

February = $2350 + $500 = $2850

March = 2 * $2850 = $5700

The answer is:

She earned $5700 in March

The two groups are given one is those who are studied and other is those who are not studied.

Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.

Arrange in order.

79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100

The mean of this group is

The mean is 92.6.

The median of this group is

Use the median formula for even

Substitute the value of n =18

The median is 93.5.

The mode of this group is 100 as it is appears 3 times .

The another group is not studied group.

Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.

Arrange in order-

45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91

The mean is determined as

The median is determined as

Substitute n=12.

There is no mode.

So, from the all the data given.

The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.

The median of the group that did not studied is less than 80.

In general , those students that studied scored much higher than those students that did not study.

The correct options are a , c and e.

Answer:

D

Step-by-step explanation:

22.5÷3 is 7.5 and 52.5÷3 is 7.5 as well

Money is y axis (x,y) and candles is x axis (x,y)

Line c is also perpendicular to line a.

Suppose that c and b are perpendicular. This implies that:

option 1) b and a are the same line or,

option 2) b is parallel to a

Since we know that a and b are different lines, hence, the option 2 is the correct.

The number of 1/4 pound bags that can be filled with this amount of nails is 2 1/3 bags.

The large bag contains 7/12 pound of nails.

We also want to fill them into 1/4 pounds of bags. The number of bags needed will be calculated through division. This will be:

= Amount in large bags / Smaller bags

= 7/12 ÷ 1/4

= 7/12 × 4/1

= 28/12

= 2 1/3

Therefore, 2 1/3 1/4 bags are required

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The coordinates of point C on AB such that AC is 2/3 the length of AB is (2,0)

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

To find out how long AC is, we must first find the length of AB.

According to Pythagoras’ theorem,

[tex]a^2 + b^2 = c^2[/tex].

Thus [tex]4^2 + 6^2 = c^2[/tex].

[tex]16 + 36 = c^2[/tex].

The square root of this is;

c = √52.

AB is 7.21 units long.

2/3 of 7.21 is 4.8

The coordinate that fits this is (2,0).

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Let:

(x1,y1) = (0,4)

(x2,y2) = (4,0)

The slope m is:

Using the point slope equation:

After simplifying i^61 we get the answer is i

Define Complex number

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labelled i sometimes known as the imaginary unit, and satisfying the equation i² = 1.

We have the given expression : i ^ 61

Rewrite it,

i ^ 61 as (i^4)^15 * i

we know, i² = -1

so, i ^ 4 = i² * i² = -1 * -1 = 1

so, put i ^ 4 value,

⇒1^15 * i

power 1 to the 15 is 1,

⇒1 * i

⇒ i

Hence, the answer is ' i '

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By using Permutation, the total number of ways in which we can choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver is 1512.

Permutation is defined as the arrangement of items in a specific or a particular order.

Since there are 3 choices for the position of offensive lineman, and for the next position there are 9 choices, similarly 8 choices for the next position  and 7 choices remain for the last position.

So we get, 3x9x8x7 =1512,  by the concept of Permutation.

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For first, ∠J=55°, ∠L=55°, ∠K=70°. For second, ∠T=34°, ∠S=34°, ∠R=112°,

For third, AB=5, BC=10, AC=10. For fourth, XY=29, XZ=48, YZ=29

An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For 1,

in ΔKJL,

KJ=KL

So,

∠J=∠L

∠J=180-125

∠J=55°

∠L=55°

∠K=180-(55+55)

∠K=70°

For 2,

in ΔRST,

RS=RT

So,

∠T=∠S=3x-2

3x-2+3x-2+9x+4=180°

15x=180°

x=12

∠T=3x-2=34°

∠S=3x-2=34°

∠R=9x+4=112°

For 3,

in ΔABC,

AC=BC

So,

3x+4=10

3x=6

x=2

AB=x+3=5

BC=10

AC=3x+4=10

For 4,

in ΔXYZ,

XY=YZ

So,

4x+1=29

4x=28

x=7

XY=4x+1=29

XZ=7x-1=48

YZ=29

For first, ∠J=55°, ∠L=55°, ∠K=70°.

For second, ∠T=34°, ∠S=34°, ∠R=112°,

For third, AB=5, BC=10, AC=10.

For fourth, XY=29, XZ=48, YZ=29

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The length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -

h² = p² + b²

Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.

[A]

From the data given, we can consider the ramp construction as right angled triangle. We can write -

base [b] = 12 ft

height [p] = 1 ft

Using the Pythagoras theorem -

h² = (12 x 12) + (1 x 1)

h² = 144 + 1

h = √145

h = 12.0415

[B]

For estimating the length of the incline, we will round it off to the exact value. The rounding of length for zero digits after decimal will give the desired result as 12 ft

Therefore, the exact length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

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[ This answer is the answer of part B of the question whose part A is attached with the answer.]

Step-by-step explanation:

a table ? why? what kind ?

it is relatively simple to solve :

x liters of 1% had to be mixed with 12 liters of 4% to get 12+x liters of 2%

x×0.01 + 12×0.04 = (12+x)×0.02 = 12×0.02 + x×0.02

12×0.02 = x×0.01

x = 12×0.02/0.01 = 12×2 = 24 liters

so, 24 liters of 1% had to be added to the 12 liters of 4% to get a 2% mixture (12 + 24 = 36 liters).

We have in a) that

So the answer for a) is 2.8

Now in b) we have that

So the answer for b) is 25%.

Answer:

c=10

Step-by-step explanation:

2c-5= 15

   +5  +5

2c=20

/2   /2

c=10

Hello!

The solution to the problem 2c - 5 = 15 is

c = 10

Step-by-step explanation:

The first step is to add 5 to both sides of the equation.

2c - 5 = 15

2c - 5 + 5 = 15 + 5

The second step is to simplify by adding the numbers.

2c - 5 + 5 = 15 + 5

2c = 20

The third step is to divide both sides of the equation by the same factor.

2c = 20

2c ÷ 2 = 20 ÷ 2

The fourth step is to simply by canceling out the numbers which are present in both the denominator and numerator, then divide.

2c ÷ 2 = 20 ÷ 2

c = 10

Hope this helped!

Answer:

y = 2/3 x - 1

Step-by-step explanation:

Parallel slopes are equal.

y = mx + b

m = 2/3

x = 3  Use the x and y given in the point (3,1)

y = 1

Solve for b the y-intercept

y = mx + b

1 = 2/3(3) + b

1 = 2 + b  Subtract 2 from both sides

-1 = b

y= mx +b

y = 2/3x -1