Which data set is the farthest from a normal distribution? a. 2, 3, 3, 4, 4, 4, 5, 5, 6 b. 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10 c. 0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3 d. 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8 e. 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

Answer:

60x-4

Step-by-step explanation:

39x+21x=60x

Therefore, you are left with 60x-4, which is in its simplest form.

Matching each word problem to the equation that models it :

A word problem is a problem that is written in english format. the student is left with a task to unravel and transform it to a mathemtical equation.

in conclusion, the word problem has been matched to their individual equation they model.

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Answer:

-8.66666667 feet because:

Step-by-step explanation:

-2 1/3 x 3 = 7

-2 1/3 ÷ 2 = 1.66666666667

7 + 1.6666666667 = 8.66666667

Answer:

Step-by-step explanation:

Each plane has a starting altitude and a fixed rate of climb. Its altitude at some time t will be the sum of the starting altitude and t times the rate of climb.

__

  altitude = starting altitude + t × rate of climb

  a(t) = 4000 +35.25t

  b(t) = 2427 +65.5t

The planes will be at the same altitude at the same time when ...

  a(t) = b(t)

  4000 +35.25t = 2427 +65.5t

  1573 = 30.25t . . . . . . . . . . subtract 2427+35.25t

  52 = t . . . . . . . . . . . . . divide by 30.25

That altitude is ...

  a(52) = 4000 +35.25×52 = 4000 +1833 = 5833

52 seconds will pass before the planes are at the same altitude.

Their altitude then will be 5833 feet.

The conclusion that Mr. Evans can make is that On average, students in 6th Grade have lower grades than students in 7th Grade.

This is also known to be a dot chart. It is said to be a statistical chart that is made up of data points which are known to be plotted on a little and simple scale.

Note that based on the dotted plot of the  student's grade, the conclusion that can be drawn or the one that Mr. Evans can make is that On average, students in 6th Grade have lower grades than students in 7th Grade.

See full question below

What conclusion can Mr. Evans make? Hint: Find the mean

answer choices

On average, students in 6th Grade have lower grades than students in 7th Grade.

On average, students in 6th Grade have higher grades than students in 7th Grade.

Students will always have a lower math grade in 6th Grade than 7th Grade.

On average, students in 6th Grade and 7th Grade have about the same grade

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Answer:

your answer is 13.2

Step-by-step explanation:

[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-22}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-7)}}}\implies \cfrac{-22+2}{-2+7}\implies \cfrac{-20}{5}\implies -4[/tex]

Answer:

z = 54

Step-by-step explanation:

Answer:

Here

Step-by-step explanation:

Depending on the amount of the number listed on the graph shows the dot amount

Answer:

1 m^3

Step-by-step explanation:

Assume hight 4 and ength 4.

2, 1, 1 = 1

When the sample is given, the number of elk are likely to be infected is to be considered as the 450.

Since the population is 7,500.

The random sample is 50.

So here be like

[tex]7500[/tex] ÷ [tex]50[/tex] × [tex]3[/tex]

= 450

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 450.

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The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

An equationi is an expression that shows the relationship between two or more variables and number.

Given that the total number of people who ate lunch is 840, hence:

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

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Step-by-step explanation:

the circumference of a circle is

2×pi×radius = pi×diameter

so, in our case

pi×20 = 62.83185307... cm

Answer:

−228

Step-by-step explanation:

10+9+8+−255

Add 10 and 9 to get 19.

19+8−255

Add 19 and 8 to get 27.

27−255

Subtract 255 from 27 to get −228.

−228

Answer: 15

Step-by-step explanation:

Answer:

slope is 4

Step-by-step explanation:

since your trying to find the slope of the tangent line, you have to find the first derivative, once you do plug in your x to give your slope at the designated spot,

For the function: (x-4)(x+2)

Point these coordinates and draw a curve on the graph.

Answer:

See below ~

Step-by-step explanation:

Information needed to sketch the graph's function :

Graph :

By plotting these points on a graph, and connecting the points by a curve, we obtain the resultant graph of the function :

Option B. because all rational numbers are integers.

Have a look at the above venn diagram showing the relationship between - Real, irrational, rational, integers, whole and natural numbers.

[tex]\longrightarrow{\green{Option \: B.}}⟶Option \: B.[/tex]

Using the probability concept, it is found that the number of desired outcomes that Taylor should use in her calculation is given by:

a. 3

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, Taylor needs a number greater than 3, which for the dice are 4, 5 and 6, that is, 3 desired outcomes, hence option A is correct.

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Answer: The answer is 3

Step-by-step explanation:

Answer:

The cost of the small package because...

Step-by-step explanation:

Cost of 1 postcards = $0.25

Cost of 4 postcards = 0.25 x 4 = 1

Cost of 1 letter = $0.44

Cost of 5 letters = 0.44 x 5 = 2.2

Cost of 1 large envelope = $0.80

Cost of 2 large envelopes = 0.80 x 2 - 1.6

Cost of 1 small package =$5.10

Since the cost of small package is highest

So, It will increase the mean

So,  the cost of the small package will skew the mean

Answer:

We can solve by using a proportion

4 pages/6 minutes = 6 pages/x minutes      .... cross-multiply.....

4x = 36    divide by 9 on each side

x = 9 minutes

Step-by-step explanation:

Answer:

5/12 (corrected)

Convert with lowest common denominator, 12(find by multiplying)

1/3 = 4/12

1/4 = 3/12

Add the fraction's numerators

4 + 3 = 7

Subtract by 1 whole

7/12 - 12/12 = 5/12

Thus, your answer is 5/12

Answer:

5/12

Step-by-step explanation:

to give the fractions the same denominator, find their gcm

3 * 4 = 12

therefore multiply 1/3 by 4/4 to get 4/12

multiply 1/4 by 3/3 to get 3/12

3/12 + 4/12 = 7/12

to find the remainder subtract

12/12 - 7/12 = 5/12

your answer is 5/12

hope this helps:)

Answer:

14,535

Step-by-step explanation:

765 times 95 : 765 x 95 = 72,675

divided by 5 : [tex]\frac{ 72,675}{5} = 14,535[/tex]

Let me know if you want an even more in-depth answer

Happy to do so !

The solution of expression 765 times 95 divided by 5 is,

⇒ 14,535

We have to given that,

To find value of 765 times 95 divided by 5.

We can solve it in two parts,

⇒ 765 times 95

⇒ 765 x 95

⇒ 72,675

And, It is divide by 5,

⇒ 72,6756 / 5

⇒ 14,535

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The value of AB id 0.5 unit.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles and they are always equal.

According to the given question.

A, B and C lie on the straight line segment. and A, E, and D are also lie in the straight line segment.

Also, BE = 1.75m, CD = 7m and BC = 1.5m

Now, in ΔAEB and ΔADC

EB is parallel to BC

So,

∠AEB ≅ ∠ADC   (corresponding angles)

∠ABE ≅ ∠ACD   (corresponding angles)

∠EAB ≅ ∠DAC    (common angle to the both triangle)

Hence, by AAA Similarity rule

ΔAEB is similar to ΔADC

Therefore,

[tex]\frac{AE}{AD} =\frac{BE}{CD} =\frac{AB}{AC}[/tex]         (sides of the similar triangles are in proportion)

So,

[tex]\frac{BE}{CD} =\frac{AB}{AC} \\\implies \frac{AB}{AC} =\frac{1.75}{7} ....(i)[/tex]

Now, AC = AB + BC   (as, A, B, and C lie on a straight line)

[tex]\implies \frac{AB}{AB+BC} =\frac{1.75}{7}[/tex]       (from (i))

[tex]\implies \frac{AB}{AB+1.5} =\frac{1.75}{7}[/tex]

[tex]\implies 7AB = 1.75AB + 1.75(1.5)[/tex]

[tex]\implies 7AB -1.75AB = 2.625[/tex]

[tex]\implies 5.25AB = 2.625[/tex]

[tex]\implies AB = \frac{2.625}{5.25} = 0.5[/tex]

Hence, the value of AB id 0.5 unit.

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Answer:

the correct is D. 280

Step-by-step explanation:

Answer:

  6; 12; 8.5; 90°; 90°; 45°; 45°

Step-by-step explanation:

A square has all sides the same length, and diagonals the same length. The diagonals bisect the right angles in the corners, and they cross at right angles.

__

As you have already observed, ...

  BW = DW = 6

 AC = BD = 2(DW) = 2(6) = 12

Further, ...

  DA = DC = 8.5 . . . . sides of a square are the same length

  ∠DWA = 90° . . . . . diagonals cross at right angles

 ∠ABC = 90° . . . . . corner angles are right angles

  ∠ABD = 45° . . . . . the diagonal cuts the corner angle in half

  ∠DCA = 45° . . . . . all of the acute angles are congruent

_____

Additional comment

A square is a rhombus that is also a rectangle. The relevant characteristics are ...

Answer:

Step-by-step explanation:

let C' be the bigger circle

and C be the smaller circle and r its radius.

Area(C') = π × (9² -  r²)

Area(C) = π × r²

Area(shaded region) = area(C') - area(C)

                                  = π × (9² -  r²)

the statement “the area of the shaded region is twice that of the smaller circle ” means  π × (9² -  r²) = 2 × π × r²

Now, let’s solve the equation:

π × (9² -  r²) = 2 × π × r²

⇔ π × (9² -  r² - 2r²) = 0

⇔ π × (81 -  3r²) = 0

⇔ 81 -  3r² = 0

⇔ 81 = 3r²

⇔ r² = 27

⇔ r = √27

⇔ r = 3√3

Answer:

6.32

Step-by-step explanation:

Area of bigger circle = π(9)² = 81π cm²

Area of smaller circle = π(9)²/2 = 81π/2 = 40.5πcm²

Area scale factor = (Linear Scale factor)²

81π/40.5π = 9²/x² {cancel the π}

81/40.5 = 81/x² (cross multiplication)

81x² = 40.5 × 81

√x² = √40.5 (square root both sides)

x = 6.32

240 cm³

volume of rectangular prism:

Length * Width * Height

4 cm * 20 cm * 3 cm

240 cm³

Answer

20x4x3= 240

Step-by-step explanation:

Length x Width x Height

Answer:

See below

Step-by-step explanation:

The flat line portions of the graph are where Tim is not moving....the first flat area is where he had the puncture to fix....the second is tea-time

A/    16:00 - 16:20     20 minutes

B/    2000 meters in 10 minutes would be 12 000 m /hr = 12 km/hr

C/    No, he was slower   ....on the way there it took him 20 minutes total cycling time

       15:30 to 15:40    plus   15:50 to 16:00        

Answer:

[tex]\large\boxed{\textsf{A: The circumference is the measurement around the circle.}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked what's true about the Circumference.}[/tex]

[tex]\large\underline{\textsf{What is the Circumference?}}[/tex]

[tex]\textsf{The Circumference is the sum of all the arcs of a circle.}[/tex]

[tex]\textsf{Arcs are the curved edges of a circle that make up the \underline{Perimeter}.}[/tex]

[tex]\textsf{Because the Circumference makes up all of the Arcs in a circle, which is the perimeter;}[/tex]

[tex]\textsf{Option A is the most reasonable choice, as the circumference is the perimeter of}[/tex]

[tex]\textsf{a circle.}[/tex]