Pretend you are constructing a histogram for describing the distribution of salaries for individuals who are 40 years or older, but are not yet retired.


Salary age

$57,000. 00 27

$40,200. 00 21

$21,450. 00 44

$21,900. 00 27

$45,000. 00 40


Required:

a. What is on the Y-axis? Explain.

b. What is on the X-axis? Explain.

c. What would be the probable shape of the salary distribution? Explain why?

The projected Population in 2020 is given by 4146.

Compounding is the method through which interest is added to both the principle balance already in place and the interest that has previously been paid. Thus, compounding may be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."

Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The main (initial) sum and the interest that has previously accrued over the course of prior periods are used to compute compound interest.

Number of years to compound is 10 years from 2010 to 2020.

The population deplition is 0.6 % = next year population is 99.4% of present.

So population after 10 years = 4403 * [tex].994\x^{10}[/tex] = 4145.84 =4146

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Answer:

(3,2) and (-2,7)

Step-by-step explanation:

Look for the intercepts of both graphs.

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A) The frequencies and the relative frequencies of the observations are as follows,

Value __frequency (F)__Relative frequency (x)

0_____ 7 _______ 7/60 = 0.1167

1 _____ 12_ _____ 12/60 = 0.200

2 _____ 12_______ 12/60 = 0.200

3 _____ 14 _______ 14/60 = 0.2333

4 _____ 6 _______ 6/60 = 0.1000

5 _____ 3________ 3/60 = 0.0500

6 _____ 3 _______ 3/60 = 0.0500

7 _____ 1 _______  1/60 = 0.0167

8 _____ 1 ________ 1/60 = 0.0167

B)  What proportion of batches in the sample have at most five nonconforming transducers?

X =  0.1167 +0.200 +0.200 +0.2333 +0.100

= 0.85

Relative frequency

A relative frequency is the ratio of the number of times a value of the data occurs in the set of all outcomes to the total number of outcomes.

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Answer:

D.

Step-by-step explanation:

They are parallel would be the best explanation. AB and PQ are in a sense the same segment but PQ is AB translated.

Answer:

52 bags and 2 extra

Step-by-step explanation:

Simply divide the no. of rolls by no. of rolls per bag

Answer:

12 bags

Step-by-step explanation:

158 rolls ÷ 13 rolls/bag = 12.15 bags

You will have 12 full bags plus about 2 extra rolls left over, which you can try to sell separately or as a "pack" of 2.  Or, you can sell one overstuffed bag with 2 extra rolls in it (for a total of 15 rolls) for a little extra on the price.

[tex]12 \frac{3}{4} [/tex]

or 12.75

Answer:

x=12.75

Step-by-step explanation:

Follow the steps within the image.

-Hope this helped

The conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.

What is a quadrilateral?

A  quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. Quadrilaterals always have a total internal angle of 360 degrees.

Given,

condition A : a rectangle with four right angles

condition B : a square with one side measuring 5 inches

condition C : a rhombus with one angle measuring 43°

condition D : a parallelogram with one angle measuring 32°

condition E : a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches

condition F : a rectangle with adjacent sides measuring 4 inches and 3 inches.

Now we are asked to match the above conditions to one quadrilateral and many quadrilaterals groups according to the number of quadrilaterals that can be constructed using the given condition.

Condition A : Many Quadrilaterals

All the rectangles have four right angles in them. So many rectangles of different lengths can be formed.

Condition B : One Quadrilateral

The defining factor that make a square unique is the length of its side. All the sides of the square also has equal length. So only one square of 5 inches side can be made.

Condition C: Many Quadrilaterals

For a rhombus the opposite angles are equal and the sum of angles should be 360°. Even though the angles are fixed, this rhombus can have any side length.

Condition D: Many Quadrilaterals

As discussed for rhombus, even though the angles of the parallelogram is fixed, there can be many sides lengths.

Condition E: One Quadrilateral

In this case, side length as well as the angle of the parallelogram is given. So there can be only one parallelogram.

Condition F:One Quadrilateral

The side lengths are what make a rectangle one of its kind. So one one rectangle can be formed with lengths 4 inches and 3 inches.

Therefore conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.

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Answer:

41.5 g

Step-by-step explanation:

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Answer:

8.3 x 5 = 41.5

Step-by-step explanation:

standard algorithm- 3 x 5=15 1 on top 5 stays on bottom

5 x 8 = 40

40+1 = 41

415

then add decimal dot after one number

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10.  This system has one solution with coordinates (1, -2)

11. This system has one solution with coordinates (0,-3)

12. This system has one solution with coordinates(-1, -2)

13. This system has no solution.

14. This system has no solution.

16.   This system has one solution with coordinates (0,-4)

According to question:-

10. y = x - 3 ------- 1

y = -5x + 3 ------- 2

substitute 1 in 2,

x - 3 = -5x + 3

x = 1

y = 1 - 3 = -2

y = -2

The co-ordinates is (1,-2)

11. y = -3

substitute in y = x-3

-3 = x - 3

x = 0

The co-ordinates is (0,-3)

12. y = 4x + 2 --------- 1

y = -2x - 4 ------------2

Substitute 1 in 2,

4x + 2 = -2x - 4

6x = -6

x = -1

substitute x = -1 in 2

y = -2

The co-ordinates is (-1, -2)

13. y = x - 6 -----1

y = x+ 2 -------2

It has no solution, so there is no co-ordinates.

14. x + y = 4

3x + 3y = 12

It has no solution, so there is no co-ordinates.

16. 2x + 3y = 12 ------1

2x - y = 4 --------2

from 2 we rewrite the equation as y = 2x-4

Sub in eq 1

2x + 3(2x-4) = 12

2x + 6x - 12 = 12

8x = 24

x = 3

y = 2

The co-ordinates is (3,2)

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The length of the triangle ΔABC will be √7 inches.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

In triangle ΔABC, AC = BC, the CD is perpendicular to AB with D belonging to AB, AB = 4 inches, and CD = √(3) inches.

The CD is half of the length AB. Then we have

CD = AB / 2

CD = 4 / 2

CD = 2 inches

Then the length of AC is calculated as,

h² = (√3)² + (2)²

h² = 3 + 4

h= √7 inches

The length of the triangle ΔABC will be √7 inches.

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Answer: 105x²y

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If u add up all sides of a cube, you get 6 because there's 6 sides.

Answer:

6 in

Step-by-step explanation:

There are 6 sides of a cube and each is 1 in so it adds up to 6 in

The experimental probability is 30% higher than the predicted probability.

What is meant by experimental probability?

Experimental Probability: what actually occurs when the experiment is carried out. For example, the probability of getting a head if you flip a coin is ½, since only 2 things could happen (a head or a tail) and each one has an equal chance of occurring.

The spinner has 10 sections and a 10% chance of landing on the section representing rain. Therefore, the probability of rain predicted by the spinner is 0.1 or 10%.

From the simulation, the results are 3, 6, 1, 8, and 3. Out of these 5 spins, 2 of them landed on the section representing rain (1, 3). Therefore, the experimental probability of rain from the simulation is 2/5 or 40%.

The difference between the experimental probability from the simulation and the prediction is the difference between the two percentages, which is:

(experimental probability) - (predicted probability) = 40% - 10% = 30%

Hence, the experimental probability is 30% higher than the predicted probability.

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The Power e is to which a number should be raised to get the specified number is called the logarithm of that specific number. For example, the logarithm to the base of 10 of 1000 is 3 because 10 raised to the power 3 is 1000.

The logarithmic function is the reverse of the Mathematical function of the exponential function. The logarithmic function is log ax = y is equal to x = ay.

There are mainly two types of logarithms normally used in Mathematics. They are one is common logarithms and second natural logarithms.

The log number ‘e’ is an irrational Mathematical constant and is mostly used as the base of natural logarithms. The number ‘e’ is the only unique number in mathematics whose value of natural logarithm is equal to unity.

The value of log ‘e’ was calculated in 1683 by Jacob Bernoulli.

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Answer:

48+23(6)½

Step-by-step explanation:

A = l × w

A =[(8-(6)^½) × (9+4(6)^½)]

A =8(9+4(6)^½) + [-(6)^½(9+4(6)^½]

A =(72 + 32(6)^½ - 9(6)^½ - 24)

A =(72 - 24 + 32(6)^½ - 9(6)^½)

A =(48 + 23(6)^½)

Answer:

choice 3) 11,488.21 cm³

Step-by-step explanation:

r= 28/2 = 14

volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³

Answer:

3920 - 36x ≤ 500

Step-by-step explanation:

Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.

Let the amount of money spent in 36 weeks = x

At least = Less than or equal to = ≤

$3920 - 36x ≤ $500

Hence, the inequality to represent this situation is written as:

3920 - 36x ≤ 500

Answer:

t = 9.7 seconds

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as :

[tex]y=-16x^2+147x+80[/tex]

We need to find the time that the rocket will hit the ground, to the nearest 100th of second.

When the rocket hit the ground, So,

[tex]-16x^2+147x+80=0\\\\x=-0.515\ s\ and\ 9.70\ s[/tex]

Neglecting negative tim,

t = 9.7 s

Hence, it will hit the ground at 9.7 seconds.

Answer:The average rate of the function from x = 2 to x = 4 is 6.

Step-by-step explanation:

Answer:

part a: 840 if she withdrew the first month down to 730 and the rate it decreases is 110 then it is 840

part b: 110every month she withdraws 55 dollars because 55 plus 55 is 110

so every 2 months she would have withdrawn 110 dollars

Step-by-step explanation:

Answer:

2) 127 degrees

3)360 degrees

Step-by-step explanation:

2)

Since angle 1 and angle 2 add up to 180 degrees

180-53(angle 2)=angle 1

=127

angle 1 and angle eight are alternate exterior angles, so they are congruent

3)

angle 4= 127

angle 3= 53

angle 5= 127

angle 6= 53

add it all up

360 degrees

Answer:

145

Step-by-step explanation:

m<4 and m<3 would equal 90 so subtract 55 from 90 and you get 35 for m<3 so you subtract 35 from 180 and you get 145

Answer:

To obtain the g function, move f upward by 5 units and to the left by 3 units.

Step-by-step explanation:

from khanacademy

Answer:

all will be 45* angles except the 90* one because a triangle always has 180* angle if you add them all up

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Triangles.

1.) Sin x = 20/36 , hence x° = 33.74

2.) Sin n = 35/51, hence n° = 43.33

3.) Cos z = 18/21 , hence z° = 31.00

4.) Tan w = 15/6 , hence w° = 0.04

Answer:

? whats the number your multiplying by

Step-by-step explanation:

Answer:

-12.5

Step-by-step explanation:

Hope it helps

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Answer:

Yes

Step-by-step explanation:

y = x has the inverse x = y

Answer:

A) 22%

Step-by-step explanation:

probabilities of selecting:

starburst = .40

jolly = .18

milky = .20

These probabilities total 78% which means the other 22% must be what remains for snickers.