2
The stem-and-leaf diagram shows the
heights of the students in a class.
Heights of students
18 1
17 0 4 4
16
0 1
3
15
3778
14 9
13 4
6
7 8
6 7 8
Key 13 | 4 means 134 cm
a) Find three different averages and three
different measures of spread.
b) Which average and which measure of
spread would you use to represent this
dataset? Give reasons.

Answer: [tex]y=12.50x[/tex]

Step-by-step explanation:

Let the number of hours be x and the total earnings in dollars be y. Since the total amount of money earned is the number of hours times the amount earned per hour, the equation is [tex]y=12.50x[/tex].

Step-by-step explanation:

14/33.

step 1. in the denominator you find the Lowest commons multiple, since 11 and 3 don't have common multiples, you just do 11 x 3 which is 33. you denomination would be 33

step 2. multiply 2 and 7 which is 14. your answer is 14/33.

The best choice for the location of the square root of 377 is B. less than 20.

It should be noted that the square root of a number simply means the number that we can multiply but itself which will give the original number.

In this case, it should be noted that the square root of 377 is 19.4. It should be noted that this is close to 20.

Therefore based on the options given the correct option is B.

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Which point is the BEST choice for the location of ✓377?

Less than 15

Less than 20

Less than 14

More than 10

Answer:

B

Step-by-step explanation:

Answer for 1: 16.4
Answer for 2: 10.095
Answer for 3: 7.431
Answer for 4: 2.31
Answer for 5: 42.74
Answer for 6: 10.224
Answer for 7: 4.436
Answer for 8: 20.574
Answer for  9: 35.626
Answer for 10: 31.042
Answer for 11: 84.708
Answer for 12: 53.066
Answer for 13: 0.0061
Answer for 14: 7.092
Answer for 15: 1.463
Answer for 16: 92.0898

I hope this helps :)

Answer:

a maximum of 1,738 empty seats

Step-by-step explanation:

5,738 - 4,000 = 1,738

There is a 0.75 percent chance that the person is a woman with long hair.

Probability can be used to define potential. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. The likelihood of anything happening is often referred to as probability. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur. A probability scale with a value of 0 for an impossibility and 1 for a certainty. In a sample space, there is a one probability for every event.

E is the probability of an event . Hence,

P(E) is the ratio of favorable results to all outcomes.

In probability, an event is deemed dependent if it is impacted by other occurrences, and independent if it is wholly unaffected by the occurrence of any other event.

By applying the literature and formulas previously mentioned, we have:

F should signify for the fact that the student is female, and L should stand for the fact that the student has long hair.

P(F)

= 0.60

P(L)

= 0.50

P(F AND L)

= 0.45

P(L|F)

= 0.75

There is a probability of  0.75 that a randomly chosen student has long hair.

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Answer:

3.3 x 10^-4

Step-by-step explanation:

It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations can be divided into four categories: translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

Given Data

f(x) = 6x

The resulting function will be f(x) = -6x if the function is not reflected over the x-axis.

The final function rule will be; if the resulting function is compressed by a factor of 1/12.

g(x) = 1/12(-6x)

g(x) = -1/2x

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

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Step-by-step explanation:

1. find how many are not working

20 - 7 = 13

2. make this into a fraction:

13/20

3. make equivalent to x/100

do this by multiplying by 5

13/20 = 65/100

65/100 is 65% which don't work

Answer:

65%

Step-by-step explanation:

20-7=13, 13/20=0.65, 0.65*100=65 (Which leaves you with your answer)

Answer: 846.12

Step-by-step explanation:

Answer:

$44.80

Step-by-step explanation:

Multiply 0.50 by 896.

Answer:

[tex]t=\frac{8x-24}{7}\\[/tex]

Step-by-step explanation:

[tex]\frac{7}{8}t+3=x\\\frac{7}{8}t=x-3\\7t=8x-24\\t=\frac{8x-24}{7}[/tex]

Pretty simple, basic algebra.

1. Switch the sides to make it easier to read

2. Subtract 3 on both sides

3. Divide both sides by 8 to cancel the denominator

4. Divide both sides by 7 to isolate the y

Answer:

D 75 and 125

Step-by-step explanation:

cünkü en büyük ortak böleni 25 dir

prove me wrong

Answer:

-3 and 23,20,17

Step-by-step explanation:

35-3=32,32-3=29

The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.

It should be noted that a fraction is simply used to represent the numbers that aren't whole. The commutative property of addition states that the sum is unaffected by the order of the addends.

According to the associative property of addition, the grouping of integers does not affect the sum.

Based on the information given, the fraction is illustrated as:

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

Note that (-) × (-) = +

Therefore,

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

= - 1 3/4 + 8 1/3 + 4 1/4

The LCM of the denominator is 12

= - 1 9/12 + 8 4/12 + 4 3/12

= 12 7/12 - 1 9/12

= 10 10/12

= 10 5/6

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Answer:

73°

Step-by-step explanation:

To find ∠QPS, just add ∠1 and∠2

∠QPS = ∠1 + ∠2

          = 44° + 29°

          = 73°

Answer:

∠QPS = 73°

Step-by-step explanation:

∠1 = 44°

∠2 = 29°

∠QPS = ∠1 + ∠2 = 44° + 29° = 73°

Answer:

[tex]x=-2, x=\frac{4}{3}, x = 3[/tex]

Step-by-step explanation:

First, factor it.

[tex](x+2)(3x-4)(x-3)=0[/tex]

Use the Zero Factor Principle and equate them each to 0.

[tex]x+2=0\\x=-2\\\\3x-4=0\\x=\frac{4}{3}\\\\x-3=0\\x=3[/tex]

This is how you find the roots of [tex]3x^3-7x^2-14x+24[/tex].

Answer:

264

Step-by-step explanation:

The area of the base is [tex]\pi(8)^2=64\pi [/tex].

So, the surface area is [tex]\pi(8)(25)+64\pi=264\pi[/tex]

144 is  the largest angle in  supplementary angle .

What is an example of a supplementary angle?

Let one angle = x

then other angle is four times the other = 4x

 x + 4x = 180

   5x = 180

     x = 180/5

     x = 36

smaller angle = 36

largest angle = 4x = 4 * 36 = 144

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The number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

For the given question;

Let the number of calories present in carrot is 'x'.

Let the number of calorie present in celerystalk is 'y'.

Carrot has 13 more calories than celerystalk.

Thus,

x = y + 13   ......eq 1

Now, 5 carrots and 10 celery stalks have total 170 calories.

The equation becomes.

5x + 10y = 170

Substitute the value of x from eq 1.

5(y + 13) + 10y = 170

Simplify the equation;

5y + 65 + 10y = 170

15y = 105

y = 7 (number of calories in stalk of celerystalk)

Put the value of y in eq 1.

x = y + 13

x = 7 + 13  

x = 20 (number of calories in stalk of carrot)

Thus, the number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

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Answer: 0.224

Step-by-step explanation:

40/178= 0.224

work in the pic

The name for this new group of tiles will be three x² tiles, eight x tiles and nine unit tiles.

Based on the information, it should be noted that the following can be illustrated:

Number of x² tiles = 2 + 1 = 4

Number of x tiles = 3 + 5 = 8

Number of units tiles = 1 + 8 = 9

In this case, this is appropriately illustrated as three x² tiles, eight x tiles and nine unit tiles.. This will be the new name.

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Answer:

length = 46 yards

Step-by-step explanation:

width = [tex]7\frac{2}{3}[/tex] yards

length = 6 times the width

[tex]7\frac{2}{3} *6 = 46[/tex]

length = 46 yards

The coordinates of the image of point D are (- 6, - 4) and a representation  of the rigid transformation is shown in the picture attached below.

Herein we find the location of point D, which is set on Cartesian plane and must be modified by the use of a rigid transformation known as dilation. The general definition of the dilation rule is defined below:

D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]

Where:

If we know that O(x, y) = (0, 0), D(x, y) = (- 3, - 2) and k = 2, then the coordinates of the image are:

D'(x, y) = (0, 0) + 2 · [(- 3, - 2) - (0, 0)]

D'(x, y) = (- 6, - 4)

Now we proceed to present the location of the image on the Cartesian plane.

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The height till which the ladder will reach the wall will be 3.84 m.

For the given question,

The distance between the base of the ladder and the wall is 1.4 m.

The angle made by base of the ladder to the floor is 70 degree.

Let the height till which the ladder goes be 'h'.

Then, applying the trigonometric identity.

tan 70 = h/1.4

h = 1.4 × tan 70

h = 3.84 m

Thus, the height till which the ladder will reach the wall will be 3.84 m.

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Answer:

Step-by-step explanation:

Así que tienes que multiplicar 8x9x16 y dividir por 2 y luego multiplicar por 4 PUEDE ESTAR EQUIVOCADO ASÍ QUE TEN CUIDADO

Answer: the answer is 10.875

Hope this helped :D

Answer:

10 7/8 Here you go :) ten seven eights

Step-by-step explanation:

The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.

When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.

For triangle CDE, the vertices are given as follows:

D(-7,-1), C(-7,-7), E(-4,-8).

The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:

(x,y) -> (-y,x).

Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:

D'(1,-7), C'(7,-7), E'(8,-4).

The triangle, with these vertices labeled, is graphed at the end of the answer.

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Answer: 14 is the number

Step-by-step explanation: