Robin’s scores: 99, 108, 102, 107, 119 Mean = 107; MAD = 5. 2 Evelyn’s scores: 125, 137, 138, 145, 145 Mean = 138; MAD = 5. 6 Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

Answer:

13.448, rounded off: 13.5 ft

Step-by-step explanation:

\(r=\frac{C}{2\pi }\)

Where r = radius, C = circumference.

\(r=\frac{84.5}{2\pi } =13.448\) = 13.5 ft

Answer:

r = 13.5 ft

Step-by-step explanation:

The circumference of a circle of radius r is C = 2(pi)r.

Here, C = 84.5 ft = 2(pi) r, or

          C = 84.5 ft = 6.28r

Dividing both sides by 6.28 results in the value of r:

r = 84.5 ft / 6.28 = 13.5 ft

when t=1, y is approximately equal to 5.

To solve for y when t=1 in the equation y=1.5 In(et.t+5), we first need to plug in t=1:

y=1.5 In(e(1)(1)+5)

We simplify the exponent e(1)(1) to just e:

y=1.5 In(e+5)

Using the properties of natural logarithms, we can simplify this further:

y=1.5(1+ln(5+e))

We can use a calculator to evaluate ln(5+e) to be approximately 2.063, so we can plug that in and simplify:

y=1.5(1+2.063)

y=1.5(3.063)

y=4.5945

Rounding this answer to the nearest whole number, we get:

y=5

Therefore, when t=1, y is approximately equal to 5.

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Answer:

Zero

Step-by-step explanation:

If you are not considering a truck being a car, then you wash 0 cars

Answer:

107

Step-by-step explanation:

5x⁶-3x²+7-2x⁶-3x⁶+4x²

= x²+7 (terms with x⁶ cancels out)

= (-10)²+7

= 100+7

= 107

Answer:

29 sq.inches

Step-by-step explanation

2x2+5x3+5x2=29sq .inches

The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.

In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.

A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.

For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:

while (condition) {

   // block of code to be executed while condition is true

}

In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.

Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:

def function(argument1, argument2):

   # block of code to be executed in the function

   return result

In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.

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Answer:

A pair of linear functions

Step-by-step explanation:

Given

See comment for options

Required

Which has real numbers as its range and domain

The answer to this is, the linear functions

Take for instance

\(f(x) = mx + b\)

The above function is real for all values of x

The inverse is calculated as thus:

\(f(x) = mx + b\)

Replace f(x) with y

\(y = mx + b\)

Swap y and x

\(x = my + b\)

Make y the subject

\(my = x - b\)

Divide by m

\(y = \frac{x - b}{m}\)

Replace y with the inverse function

\(f^{-1}(x) = \frac{x - b}{m}\)

The above function (i.e. the inverse function) is real for all values of x

This is not true for other options

Answer: true

Step-by-step explanation: The number of people would be 45

Answer:

There are 3024 different ways the artist can arrange 4 paintings side-by-side on the wall and there are 126 different groups of 4 paintings the artist could choose to display.

Step-by-step explanation:

(a) To find the number of ways the artist can arrange 4 paintings side-by-side on the wall, we will use the permutation formula.

In this case, n = 9 (total works of art) and r = 4 (number of paintings to display).

Permutations (nPr) = n! / (n-r)! = 9! / (9-4)! = 9! / 5! = 362880 / 120 = 3024

So, there are 3024 different ways the artist can arrange 4 paintings side-by-side on the wall.

(b) To find the number of different groups of 4 paintings the artist could choose to display, we will use the combination formula.

In this case, n = 9 and r = 4.

Combinations (nCr) = n! / [r! * (n-r)!] = 9! / (4! * (9-4)!) = 9! / (4! * 5!) = 362880 / (24 * 120) = 362880 / 2880 = 126
So, there are 126 different groups of 4 paintings the artist could choose to display.

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Answer:

0,-24,-3/4

You have to substitute the values for x and y to get the other output. When I put 0 into the equations I get back 0

Answer:

Both positive correlations and negative correlations (when one variable increases as the other decreases) can be found everywhere you look. For example, when you spend more time in sunlight, your chances of getting a sunburn also go up. More examples of positive correlations include:

The more time you spend running on a treadmill, the more calories you will burn.

The longer your hair grows, the more shampoo you will need.

Step-by-step explanation:

21,23,23,27,29,29,33,33,34,36,37,38,39,40,41,43,44,45,56,56

The minimum is the lowest number in the data set. Since it is listed from smallest to largest, we know that the minimum is 21. The median is the middle number. Cancel out 9 numbers from each side and add the two numbers 36+37 then divide the answer by 2 to get the median.Therefore, the median is 36.5

The maximum is the highest number in the data set; it is 56.

A circle and a triangle can intersect in a point.

This refers to the fact that two lines are able to meet at a given point. The point where they meet is the point of intersection.

A circle is known to be able to intersect with a triangle in three different ways and at one point.

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Answer:

use fraction caculator

Step-by-step explanation:

srry for wrong answer just need points for this question ineed only one more answer for so again i am so srry pls dont get amd or just dont pay any attention to this

Answer:15

Step-by-step explain

3 3/4 divided by 1/4

3 3/4=15/4

15/4 divided by 1/4=15

Answer:

54.1° (1 dp)

Step-by-step explanation:

Let the center point of the rectangle PQRS = M

Calculate the length of the line SM using Pythagoras' Theorem:

          a² + b² = c²

(11/2)² + (7/2)² = SM²

              42.5 = SM²

                SM = √42.5 cm

The height of the pyramid is 9 cm,  therefore, MT = 9

Now we have a right angled triangle with base SM and height MT and hypotenuse ST

We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM

tan TSM = MT/SM = 9/√42.5

TSM = arctan (9/√42.5) = 54.082088°

So the angle between the line ST and the plane PQRS = 54.1° (1 dp)

Answer:

run/rise

3/-3

meaning you run to the left 3 times and go down 3 times

hope that helps

Answer:

Y = - 1x + 11

Step-by-step explanation:

M = y2 - y1/ x2 - x1

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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Answer:

I don't know the answer but try using 900gle lens and scanning it on homework setting

Answer:

Range is 0 ≤  h ≤ 32

Step-by-step explanation:

The height is a function of time and is described as h(t) = -8t² + 32t

h is the y-axis and t is the x axis, so we can write this as y = -8x² + 32 x.

This describes a parabola that opens downward, since the coefficient of the square term is negative. The maximum point for height will be at the vertex of the parabola.

y = ax² + bx + c

The x coordinate of the vertex is at -b/2a

a = -8, b = 32, c = 0

-b/2a = -32/-16 = 2

Maximum height is at x = 2 seconds (we can see this on the graph)

At 2 seconds, y = -8(2²) + 32(2) = -32 + 64 = 32

Again, we can see this on the graph.

The x intercepts are the points where y = 0

0 = -8x² + 32x = 8x(-x +4)

y will be 0 when x is 0 or 4 (confirmed by graph)

So, the height (y) = 0 at time (x) = 0 sec, 4 sec

0 ≤ y ≤ 32

y = h, so 0 ≤ h ≤ 32

I hope this helps.

Answer:

Plot a point at (0, -9) Then go up five units and to the right 3 units.That will give you the line you are looking for

Answer:

Step-by-step explanation:

Sorry cant help 18.85%

Answer:

(1, 4) no; (-1, 1) yes.

Step-by-step explanation:

For a given ordered pair to lie on the graph of an equation, they must be able to produce a true statement when plugged in. Basically, what I'm saying is when we plug in (1, 4) and (-1, 1) in their respective x- and y-positions, the result must = 9 for them to lie on the graph. So we'll do just that.

First with (1, 4)

2(1)² + 7(4)² = 9

2(1) + 7(16) = 9

2 + 112 = 9

114 ≠ 9

114 is not 9; this is not a true statement, (1, 4) does not lie on the graph of the equation.

Next with (-1, 1)

2(-1)² + 7(1)² = 9

2(1) + 7(1) = 9

2 + 7 = 9

9 = 9

9 does equal 9; this is a true statement, (-1, 1) does lie on the graph of the equation.

Answer:

1/14 ; 1/35

Step-by-step explanation:

A

6/10 x 5/9 x 4/8 x 3/7

3/5 x 5/9 x 1/2 x 3/7

1 x 1/3 x 3/14

1/14

B

4/10 x 3/9 x 2/8 x 6/7

2/5 x 1/3 x 1/4 x 6/7

2/15 x 3/14

1/5 x 1/7

1/35

The probability that  4 creature cards is pulled is 1/14 and the probability that 3 land cards and 1 creature card is pulled is 4/35

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here there are 4 land cards and 6 creature cards

thus selecting four cards at random from 10 cards is  ¹⁰C₄=210

and the event of selecting 4 creature cards from a total of 6 cards is ⁶C₄ =15

Therefore probability of pulling 4 creature cards is = 15/210

                                                                                     = 1/14

The probability of pulling 3 land cards and 1 creature cards is    

= ⁴C₃ × ⁶C₁   /  ¹⁰C₄

= 4/35

Hence 1/14 and 4/35 are the respective probabilities.

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3 to the power of 14

Step-by-step explanation:

you need to add the exponents together. When you multiply exponents you actually add them.

so \(3^{14}\) is your answer.

or 4783969 if you solve the whole thing

i hope this helps

Answer:

3 to the power of 14

Step-by-step explanation:

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

The functions given in the question are

Step 1:

To figure out (fog)(x), we will substitute the value of x=x²-7x+6 in f(x)

Hence,

The function for (fog)(x) will be

Step 2:

To figure out (gof)(x), we will substitute the value of x=7x-7in g(x)

Hence,

The value for (gof)(x) will be