How to chose a reasonable scale and interval to graph each set of data with these numbers - 70, 35, 55, 10, 43, 25, 80 and three numbers, 4,700; 2,000; 3,400; 1,650; 2,800

Answer:

3.09

Step-by-step explanation:

three and 9 hundredths

and meaning a decimal

hundredths is the second place after the decimal

3.09

Three and nine hundredths as a decimal form is equals to 3.09.

" Decimal form is representation of number as a combination of whole number and it fractional part."

According to the question,

Hundredths is the second digit to the right of the decimal.

Three and nine hundredths = 3.09

Hence, three and nine hundredths as a decimal form is equals to 3.09.

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Answer:

The answer is Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?

Step-by-step explanation:

Answer:

1500 units.

Step-by-step explanation:

-A pentagon is a a regular pentagon with 5 equal sides.

-Since the side length's are equal, the perimeter is simply the product of one side length by the number of sides of the polygon.

-Given its sides  measures 300 each, its perimeter can be calculated as:

[tex]P=5s\\\\=5\times 300\\\\=1500 \ units[/tex]

Hence, the Pentagon's permimeter is 1500 units.

Answer:

The perimeter of the Pentagon is 1500

The perimeter of the Capitol is 1131

Percy would win the debate

Step-by-step explanation:

Answer:

x^2 -2x -35 = 0

Step-by-step explanation:

Lets's solve backwards

x = -5

Add 5 to both sides

x + 5 = 5 - 5

x + 5  = 0

and

x = 7

Subtract 7 from both sides

x - 7 = 7 - 7

x - 7 = 0

Finding the product of both linear functions

(x + 5)(x - 7) =0

x^2 -7x + 5x -35 =0

x^2 -2x -35 = 0

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total member = 25 + 15 = 40

[tex]girls percentage = \frac{15}{40}*100\\\\=\frac{15}{2}*5\\\\=\frac{75}{2}=37.5\\[/tex]

= 37.5%

Answer: x = -7

Step-by-step explanation:

2.5x+10=x-0.5

Collect like terms

2.5x-x= -0.5 -10

1.5x= -10.5

X= -10.5/1.5

X= -7

Answer: -7

Step-by-step explanation:

Answer:it is under by approximately 0.6 units

Step-by-step explanation:

Answer:

its B. (it is under by approximately 0.6 units.)

Step-by-step explanation:

I got it right on 2020 Edu.

Answer:

c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

-16 - 6 would be -22

Step-by-step explanation: The reason for this is is simple subtraction except in this case you wanna think of addition. -16 - 6 can also be thought of 16+6. In that case you get 22 and then you just add the negative sign.

The area of a circle with a radius of 1.2 meters is 4.5 m², rounded to two significant figures to match the precision of the given radius.

The area of a circle is given by the formula A = πr², where π (pi) represents a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a radius of 1.2 meters, we get the precise calculation as A = π(1.2 m)² = 4.5238934 m². However, as the radius is given with only two significant figures, the area should also be rounded to two significant figures, resulting in A=4.5 m².

Answer: A

Step-by-step explanation:

Answer:

A is correct because it is the only one to make sense

The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

Step-by-step explanation:

The given is,

                       A person invests 9000 dollars in a bank      

                      The bank pays 4.25% interest compounded daily

                      Future amount $19600

Step:1

                     Formula to calculate the future investment with compounded daily,

                                                  [tex]A = P (1+\frac{r}{n})^{nt}[/tex]................................(1)

                   Where, A - Future amount

                                P - Initial investment

                                r - Interested rate

                                n - No.of times for a year

                                t - No.of years

Step:2

              From the given values,

                      A = $ 19600

                      P = $ 9000

                       r = 4.25 %

                      n = 365  ( ∵ Compounded daily )

           Equation (1) becomes,

                                        [tex]19600 = 9000(1+\frac{0.0425}{365})^{365t}[/tex]

                                         [tex]\frac{19600}{9000}= (1+0.000116438)^{365t}[/tex]

                                   [tex]2.177778=(1.000116438)^{365t}[/tex]

            ( Take log on both sides )

                               [tex]log 2.17778= log (1.000116438)^{365t}[/tex]

                               [tex]log 2.17778=( 365t)log (1.000116438)[/tex]

           Substitute the log values,

                                  [tex]0.338014 = (365t)(0.000050565)[/tex]

                                [tex]\frac{0.338014}{0.000050565}= 365t[/tex]

                                [tex]6684.6842 = 365t[/tex]

                                              [tex]t = \frac{6684.6842}{365}[/tex]

                                                 = 18.314

                                                 ≅ 18 years

                          No.of years, t = 18 years

Result:

              The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

It will take approximately 18.4years for the person to make 19600

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex] where:

A is the amount

P is the amount invested

n is the compounding amount

t is the time taken

Given the following parameters

A =  19600

P = 9000

r = 4.25% = 0.0425

n = 365 (compounded daily)

Substitute the given parameters into the formula to get the time "t"

[tex]19600 = 9000(1+\frac{0.0425}{365} )^{365t}\\2.1778 = (1+0.0001164)^{365t}\\2.1778 = (1.0001164)^{365t}\\log2.1778 = 365tlog(1.0001164)\\0.3380 = 0.0184t\\t = \frac{0.3380}{0.0184} \\t \approx 18yrs[/tex]

Hence it will take approximately 18.4years for the person to make 19600

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Answer:

-11

Step-by-step explanation:

-3+7-5+(-10)=

7-3-5-10=

7-18=

-11

Answer:

Option D.

Step-by-step explanation:

From the given figure it is clear that,

Length = 9 cm

Breadth = 8 cm

Height = 1 cm

We know that the volume of a cuboid is

[tex]V=Length\times Breadth\times Height[/tex]

[tex]V=9\times 8\times 1[/tex]

[tex]V=72[/tex]

So, the volume of give cuboid is 72 centimetre cubed.

Therefore, the correct option is D.

Answer:

d

Step-by-step explanation:

Answer:

it's a

Step-by-step explanation:

Without more information on triangle QRS, the potential true equations could be 'sin(100 degrees) / 3.5 = sin(S) / 2.4' and 'sin(100 degrees) / 2.4 = sin(Q) / 3.5' based on the law of sines.

The question is asking which equation formed by the law of sines is true for the triangle QRS. As it is not completely clear from the given data, let's apply the law of sines in a general form for triangle QRS: sin(Q)/QR = sin(R)/RS = sin(S)/SQ. Comparing this to the provided options we could suggest that the correct equation could be: sin(100 degrees) / 3.5 =  sin(S) / 2.4 and sin(100 degrees) / 2.4 = sin(Q) / 3.5. These are possibilities if we assume that the angle at Q is 100 degrees and the lengths of the sides opposite these angles are 3.5 and 2.4 respectively. However, without more specific information about triangle QRS, these conclusions are speculative.

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Step-by-step explanation:

I think by the having all 2 of angles are equal

and corresponding sides are in same ratio

and by having all corresponding sides in same ratio

Answer:

I think it is option a, b, and c.

Step-by-step explanation:

The sequence is an illustration of a geometric sequence

The recursive formula of the sequence is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

The sequence is given as: 40, 30, 22.5.....

So, we have:

[tex]\mathbf{a_1 = 40}[/tex]

[tex]\mathbf{a_2 = 30}[/tex]

[tex]\mathbf{a_3 = 22.5}[/tex]

Rewrite as:

[tex]\mathbf{a_1 = 40}[/tex]

[tex]\mathbf{a_2 = 40 \times 0.75}[/tex]

[tex]\mathbf{a_3 = 40 \times 0.75^2}[/tex]

Express 2 as 3 - 1

[tex]\mathbf{a_3 = 40 \times 0.75^{3-1}}[/tex]

Substitute n for 3

[tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

Hence, the recursive formula is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

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Answer:

C) y = 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

We are given the line y = 6, a horizontal line with a slope of 0.

According to the answer choices, we need to find an equation of a line that also has a slope of 0.

A, B, and D are all incorrect, as they have a different slopes than the original line (Slope of -6, undefined, and 6 respectively).

Therefore, our only option is C, which is the correct answer.

y = 1 has the same slope, a slope of 0. However, it has a different y-intercept, a y-intercept of 1 compared to the original y-intercept 6. They are parallel and will never intersect.

Answer:

1)Mean=920 $

2)Standard Error =S.E.=38

3)more likely to take place Event 25 studio apartments with a mean rent between $901 and $939

Step-by-step explanation:

Given:

True mean =920 $

S.D=190 $

No .of samples=25

To Find:

1)Mean of sample.

2)S.E

Solution:

Now , the mean for given sample distribution is  given as 920 $

Hence Mean =920 $

Now calculating the Standard error

S.E.= S.D./Sqrt(n)

=190/Sqrt(25)

=190/5

=38

Therefore the Standard error is about 38 .

a) When n=1 then P(901≤X≤939)

So,

Z1=(901 -920)/190/Sqrt(1)]

Z1=-0.1

Z2=(939-920)/(190/Sqrt(1)]

Z2=0.1

So

Pr(-0.1≤Z≤0.1)=P(Z≤0.1)-P(Z≤-0.1)

=0.5398-0.4602

=0.0797  % chance of the sample distribution

b)n=25 then P(901≤X≤939)

Z1=(901-920)/S.E

Z1=-19/38=

Z1=-0.5

And Z2=0.5

So,

Pr(-0.5≤Z≤0.5)

=Pr(Z≤0.5)-Pr(Z≤-0.5)

=0.6915-0.3085

=0.3829

i.e 38.29 % chance of the sample distribution

Hence More likely to take place will be a sample of 25 studio apartments with a mean rent between $901 and $939.

0.3829>0.0797.

Because the probability of causing above event is more than the option A.

Answer:

a=7b+27/2

Step-by-step explanation:

1: Add 7/3b to both sides.

2 /3 a+  −7 /3b  + 7/3b = 9+ 7/3b

2/3a=7/3b+9

2: Divide both sides by 2/3.

2/3a= 7/3b + 92

/ 2/3a    / 2/3a

a=7b+27/2

The problem involves finding the surface area of a sphere using its circumference. This can be achieved by first calculating the radius from the given circumference, and then substituting  this value into the formula for the surface area of a sphere.

The subject for this problem is finding the surface area of a sphere using its circumference. To solve this, you need to apply some mathematical concepts and formulas related to spheres and circles. The circumference of a circle (or the widest circle in a sphere, in this case) is given by

C=2πR, where R is the radius of the circle.

So, first, you need to find the radius of the sphere from the given circumference:

540.08 = 2πR, solve this to get R = 540.08 / (2*3.14).

According to the formula for the surface area of a sphere A=4πR²,

we can substitute the value of R that we have calculated to find the surface area of the sphere.

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Answer:

Measure of arc AE = 58°

Step-by-step explanation:

As shown: ABCD is a quadrilateral, ∠C = 119°

So, ∠C + ∠A = 180°

∴ ∠A = 180° - ∠C = 180° - 119° = 61°

ΔAGB is a right triangle at G

So, ∠A + ∠B = 90°

∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°

Arc AE opposite to the angle ∠ABG

So, measure of arc AE = 2∠ABG = 2 * 29° = 58°

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

                    Volume of aluminium available is 1000 cubic centimeters

                    Shape of trophy is right square pyramid

                    Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

                     Formula for volume of right square pyramid,

                                               [tex]Volume, V = a^{2}\frac{h}{3}[/tex].....................................(1)

                     Where, a - Base edge value

                                  h - Height of pyramid

                      From given,

                                        a = 10 cm

                                        h = 13 cm

                      Equation (1) becomes,

                                           [tex]= 10^{2}(\frac{13}{3} )[/tex]

                                           [tex]= (100)(4.333)[/tex]

                                           [tex]= 433.33 cm^{3}[/tex]

             Volume of trophy = 433.33 cubic centimeters

             Compare with the volume of available aluminium and volume of right square pyramid,                          

            [tex]Volume of available aluminium > Volume of right square pyramid[/tex]

                                               [tex]1000 cm^{3} > 433.33 cm^{3}[/tex]

            So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

          The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Answer:

Yes, the volume of the trophy is 400 cm3

The only transformation that does not preserve congruence is a translation 7 units down

Transformation is the process of changing the position of an object on an xy-plane.

A reflection preserve the congruence since it only create a mirror image of the figure.

Dilation also preserve congruence since it only enlarges the given figure. The only transformation that does not preserve congruence is a translation 7 units down

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Answer:

Its definetley negitive linerar assosiation

plato lives matter

Step-by-step explanation:

The association between the two quantities is a negative linear association.

Option B is the correct answer.

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

From the scatter plot we see that,

As the year increases, the album sold decreases.

This means,

There is a negative association.

And the association is more or less a straight line.

Thus,

The association between the two quantities is a negative linear association.

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Answer:

(x + 3) (x + 3)

Step-by-step explanation:

This is because if you solve that, it would be x² + 3x + 3x + 9

Therefore it would equal x² + 6x + 9

Answer:

I need help on this one to its hard

Ray AC and Ray CA. Yes, they form an angle of 180 degrees because they are both on a straight line.

In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line and it extends infinitely in a single direction.

A line is a mark with length and direction, that is created by a point that is moving across a surface and extending infinitely.

By critically observing the figure shown in the image attached below, we can logically deduce that two rays with the same endpoint include:

Ray AC

Ray CA.

Complete Question:

Higher Order thinking Name two rays with the same endpoint in the figure below. Do they form an angle? Explain.

Answer:

[-5,-4) U (-4,-2)

Step-by-step explanation:

The brackets means including, the parenthesis does not include the number it is next too. The U in between the two points stands for union.