I'm stuck with my math word problem pls helped me

2/2​

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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Let:

(x1,y1) = (0,4)

(x2,y2) = (4,0)

The slope m is:

Using the point slope equation:

Based on the number of inches in the drawing and the number of feet in real life, the scale that Paula used was 3 inches = 2 feet

The scale that Paula used was such that the stage was 56 feet long in real life but 84 inches long on the drawing.

The scale can therefore be shown by the ratio:

56 feet : 84 inches

If the number of inches is 3 then the number of feet in the scale would be:

56 feet : 84 inches

x feet    :  3 inches

Cross-multiplying gives:

84x = 168

x = 168 / 84

x = 2 feet

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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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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%.

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

Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation.

Algebraic expression is equal to

Solve for y

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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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

A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.

Given that,

A pilot who is flying at a height of 528 feet must land because of a storm.

We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.

In the right angle triangle:

TanΘ=Opposite side/ adjacent side

The opposite side is 528 feet.

The adjacent side is 2000 feet.

Then,

TanΘ=528/2000

TanΘ=0.264

Θ=Tan⁻¹(0.264)

Θ=14.78°

Therefore, 14.78° angle of depression should he utilize to land.

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Answer:

no

Step-by-step explanation:

- 3.5 is a negative number.

17/15 is a positive number.

Note : -

Always positive numbers are greater than negative numbers.

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

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 %

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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3/10ths if im not wrong

The number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

For the given question;

The backyard of Jim is in the shape of the rectangle.

The dimension of the yards are in given in mixed fraction, convert that in improper fraction as;

The area of the rectangle yard is;

Area = length x width

Area = 95/6 x 52/5

Area = 76 sq. yd.

The dimension of the sod in pieces are -

Area of each sod is -

Area = length x width

Area = 11/3 x 11/3

Area = 121/6 sq. yd.

Thus, the total umber of the sods required for the yard is;

Number = 76 sq. yd. /  121/6 sq. yd.

Number = 3.76 ≈ 4

Thus, the number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

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Blaise Pascal and Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how scientists and mathematicians regarded uncertainty and risk.

The issue with the Duke of Tuscany (1560)

The Duke of Tuscany was a constant competitor. He had noticed that number 10 frequently occurred over number 9 in a game where three dice are tossed and the points are added. De Duke, however, asserts that there are six different ways to generate both figures.

Pyramidal dice (four-sided), which date back to Summer in the third millennium bce, are just as old as cubical dice. These dice were discovered alongside the so-called Royal Game of Ur, one of the oldest complete board games ever uncovered.

In his book A Pocket Guide to Dice & Dice Games, Keith Souter develops the Sir Farkle theory and fixes Iceland as the setting and the year as 1492.

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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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The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We have been given that OB = b and OA = a

From ΔAOB we have;

OB + BA + AO = 0

b + (- AB ) -a = 0

AB = b - a

Now from ΔMNO we have;

MN + NO + OM = 0

MN + ( -ON) + OB/ 2 = 0

MN - (OA + AN ) + b/2 = 0

MN - ( a + 30a) + b/2 = 0

MN = 29a - b/2

Now from ΔMBP , we have;

MB + BP + PM = 0

OB/2 + (BA - PA) + PM = 0

b/2 + ( - AP/k + AP) + PM = 0

b/2 + ( -kAB /k + kAB) + PM = 0

b/2 + ( k AB + AB ) + PM ) = 0

PM = -b/2 - (k + 1) (b - a)

MP = b/2 + ( k+1) (b - a)

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The ​x-coordinate of point R′ after dilation is 3

The given parameters are:

R(2,−1),S(3,3), and T(4,6).

The scale factor of dilation is given as

Scale factor = 1.5

Mathematically, this transformation can be represented as

(x, y) = 1.5(x, y)

When represented as a function, we have

Image = 1.5 * Point

For point R, we have

R = (2, -1)

Substitute the equation Point =  (2, -1) in the equation Image = 1.5 * Point

So, we have the following equation

R' = 1.5 * (2, -1)

Evaluate the product

R' = (3, -1.5)

Remove the y-coordinate

R'x = 3

Hence, the image of the x cooridnates is 3

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A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.

How do you calculate hypothesis example?

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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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The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.

An arithmetic sequence has a constant difference (d) and is defined by

a(n) = a(1) + (n-1)d          ----------- (1)

Here a(1) = 33, a(2) = 25, a(3) = 17

d = a(2) - a(1)

d = 25 - 33 = -8

Substitute the values in (1)

a(n) = 33 + (n-1)(-8)

a(n) = 33 - 8n + 8

a(n) = -8n + 41              ------------- (2)

We have to find a(4) and a(5)

Substitute n = 4 in (2), we get

a(4) = -8(4) + 41 = -32 + 41 = 9

Substitute n = 5 in (2), we get

a(5) = -8(5) + 41 = -40 + 41 = 1

Hence the next two terms are 9, 1.

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The input and output is follows,

4     4 * 20 + 40

17    18 * 20 + `70

t      t+1 * 20 + (t * 10)

How to Recognize Patterns :

Therefore,

i.e.. input number is 2 then the first number of output is 2+1 = 3

i.e. . input number is 2 then the third number of output is 2 * 10 =  20

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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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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.]

Answer:

Step-by-step explanation:

The value of 4 + n when n = 17

4 + n =

4 + 17 = 21

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

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.