When the outlier(s) are removed, how does the mean change? dot plot with 1 dot over 15, 1 dot over 23, 1 dot over 24, 1 dot over 25, 1 dot over 26, 1 dot over 27, and 1 dot over 35 The mean doesn't change. The mean increases by 2. The mean decreases by 2. There are no outliers.

Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)

Answer:

The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Step-by-step explanation:

The equation can be rearranged to get:

-7-8f=-47

Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Answer:

Step-by-step explanation: negative eight f minus seven equals negative fourty-seven .  answer: 5

Answer:

56/33

Step-by-step explanation:

8/11 * 7/3

Multiply the numerator

8*7 = 56

Multiply the denominator

11*3 = 33

Put the numerator over the denominator

56/33

Answer:

56/33

Step-by-step explanation:

[tex]\frac{8}{11} *\frac{7}{3}[/tex]   Original equation

[tex]\frac{8*7}{11*3}[/tex]

[tex]\frac{56}{33}[/tex]   Simplify

Answer:

Bobs Data: range from 2 to 8

Rosa Data range from 4 to 7

Step-by-step explanation:

Answer:

Lower Quartile = 132

Step-by-step explanation:

Arranging it in ascending Order:

112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200

Lower quartile = [tex](N+1)^{th} Term \frac{1}{4}[/tex]

Where N = 11

Lower Quartile = [tex]\frac{1}{4} (12)^{th} Term[/tex]

Lower Quartile = 3rd Term

So,

Lower Quartile = 132

Answer: 132

Step-by-step explanation:

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Answer:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Step-by-step explanation:

Given

K(1,0)

L(1,4)

M(5,4)

N(5,0)

Scale Factor = 1/4

Dilation with center (0,0)

Required

New coordinates of the quadrilateral

To get the new coordinates, we simply multiply the scale factor with each coordinate;

This is done as follows;

[tex]If\ K =(1,0),\ then;[/tex]

[tex]K' = \frac{1}{4} * (1,0)[/tex]

[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]If\ L =(1,4),\ then[/tex]

[tex]L' = \frac{1}{4} * (1,4)[/tex]

[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]If\ M =(5,4),\ then[/tex]

[tex]M' = \frac{1}{4} * (5,4)[/tex]

[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]If\ N =(5,0),\ then[/tex]

[tex]N' = \frac{1}{4} * (5,0)[/tex]

[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Hence, the coordinates of the dilated figure are:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Answer: 8 more girl toys than boy toys

Step-by-step explanation:

First you need to find out how many of the toys are for boys and girls.

———————————————

80 * 40 = 80 * 0.4 = 32

32 toys are for boys

———————————————

80 - 32 = 48

48 toys are for girls

———————————————

Now find 50% of the boy and girl toys.

32 * 50% = 32 * 0.5 = 16

48 * 50% = 48 * 0.5 = 24

———————————————

Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.

24 - 16 = 8

Step-by-step explanation:

I recommend that you download the symbolab application, it is very good, it helps a lot

Answer:

[tex]1.\ 12\ feet = 4\ yards[/tex]

[tex]2.\ 4\ miles = 21120\ feet[/tex]

Step-by-step explanation:

Given

12 feet = _____ yard

4 miles = ____ feet

To start with;

we need to understand the unit of conversion between the two measurements;

1. 12 feet = _____ yard

To convert from feet to yard;

[tex]1\ foot = \frac{1}{3} yard[/tex]

This implies that;

[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]

[tex]12\ feet = \frac{12}{3} yard[/tex]

[tex]12\ feet = 4\ yards[/tex]

2. 4 miles = ____ feet

To convert from miles to feet;

[tex]1\ mile = 5280\ feet[/tex]

This implies that;

[tex]4\ miles = 4 * 5280 feet[/tex]

[tex]4\ miles = 21120\ feet[/tex]

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Answer:

[tex]CosB = \frac{48}{80}[/tex]

Step-by-step explanation:

Given

AB = 48, AC = 64, and BC = 80

Required

Determine the ratio of cosB

The first step is to determine, which type of triangle it is.

Checking for Right Angled Triangle

For a triangle to be a right angled triangle, the square of the largest side must be equal to the sum of squares of other sides

This implies that:

[tex]80^2 = 48^2 + 64^2[/tex]

[tex]6400 = 2304 + 4096[/tex]

[tex]6400 = 6400[/tex]

Hence, the triangle is a right angled triangle [See attachment]

From trigonometry;

[tex]CosB = \frac{Adjacent}{Hypotenuse}[/tex]

The adjacent of B = 48 while the hypotenuse is 80;

Hence;

[tex]CosB = \frac{48}{80}[/tex]

Hence, the ratio of cos B is [tex]CosB = \frac{48}{80}[/tex]

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6

Answer:

Option A.

Step-by-step explanation:

The general form of a quadratic function is  

[tex]y=ax^2+bx+c[/tex]

It means, power of y should be 1 and highest power of x should be 2.

In option A,

[tex]y-3x^2=3(x^2+5)+1[/tex]

[tex]y-3x^2=3x^2+15+1[/tex]

[tex]y=3x^2+16+3x^2[/tex]

[tex]y=6x^2+16[/tex]

It is a quadratic function.

In option B,

[tex]y^2-7x=2(x^2+6)+7[/tex]

Here, power of y is 2. So, it is not be a quadratic function.

In option C,

[tex]y-2x^2=6(x^3+5)[/tex]

Here, highest power of x is 3. So, it is not be a quadratic function.

In option D,

[tex]y-5x=4(x+5)+9[/tex]

Here, highest power of x is 1. So, it is not be a quadratic function.

Therefore, the correct option is A.

Answer:

It is A

Step-by-step explanation: I took the test on edge 2020

Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

Surface area of extended pyramid:

The difference is:

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

a,e

Step-by-step explanation:

correct on e2020

Answer:

C

Step-by-step explanation:

V=lwh

4 times x times x

4 x^2

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Answer:

c. (3, [tex]\frac{7\pi }{6}[/tex] )

Step-by-step explanation:

In order to do this, you must solve using the answer choices, not by solving it yourself. This is because you can generate many answers from the graph itself so it is best to look for which answer choices you can eliminate. In this answer choice, there are no negatives, therefore, you don't have to convert by reflecting across the pole or polar axis, making this question easy. Polar coordinates are represented as so: (r, θ) with r representing the radius and theta representing the angle. The distance of z from the middle point is 3 units, so the radius is 3. If you look at the unit circle, [tex]\frac{7\pi }{6}[/tex] resides in the same quadrant where z is at the moment, so you don't have to do any converting there. Therefore, this is your answer.

Answer:

r=12.7323

Step-by-step explanation:

We find out the arc length formula when multiplying this equation by Θ:

Θ=45 degrees=π/4

L = r * Θ

r=L/Θ=10/π/4=40/π=12.7323

this answer is for sector(part of a circle)

Answer: 1 hour

Step-by-step explanation:

Let distance1 = x km

Distance2 = 144 - x

Speed S1 = 63 kph

Speed S2 = 81 kph

Time = Distance / Speed

When the jets pass each other

(144-x) / 81 = x/63

63(144-x) = 81x

9072 - 63x = 81x

x = 9072 / 144

x = 63 km

Time = 63/63 = 1 hour

Answer:

1 hr

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

By substituting the values of each of the points into the inequality, you can determine that A, C, and D are the correct answers.

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

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