1. Calculate the variance of the set of data to two decimal places.

{ 1,2,4,4,5,6,6}

a. 22
b. 4
c.3.14
d. 1/7
e.2

Reflection through the y-axis, f(x) → f(-x). Option B is correct

Reflected images are mirror images of each other.

If the parent function f(x) is reflected over the y-axis, the resulting function will be f(-x). Note that only the x-values (dependent variable) are negated for a reflection over the y-axis.

From the given graph, you can see that both lines have equal but opposite slope and are mirror images of each other. Since the lines intersects along the y-axis, hence we can conclude that the description of how the dotted line relates to the solid line (f(x)) is reflection through the y-axis, f(x) → f(-x)

Answer:

B) reflection through the y-axis, f(x)→ f(-x)

Step-by-step explanation:

Answer:

18/30 simplified is 3/5

Step-by-step explanation:

Answer:

  contrapositive

Step-by-step explanation:

The converse statement would be ...

  b ⇒ a

The contrapositive swaps the parts and negates them both:

  ¬b ⇒ ¬a . . . . . matches your given statement

The inverse negates both parts:

  ¬a ⇒ ¬b

A contradiction arises when the implication is false: a is true and b is false.

Answer: the first one

Step-by-step explanation: head math

Answer:

A) 115°

B) 39°

Step-by-step explanation:

A) suplementary angles are angles that add up to 180°

so to get your answer to A you would have to substract 65 from 180

(180° - 65° = 115°)

B) complementary angles are angles that add up to 90°

so to get your answer to B you would have to subtract 51 from 90

(90° - 51° = 39°)

The standard deviation of X is $2.00.

Probability is the likelihood that a specific occurrence will occur. Probabilities can be written as proportions with a 0 to 1 or 0% to 100% range.

Let X be the amount one wins. If the die is 4 or 5, the amount one wins is $1. If the die is 6, the amount one wins is $4. If the die is 1, 2, or 3, the amount is $0. Then, the probability of winning from 1 to 6 is 1/6.

The value of the expected mean (μ) is,

\(\begin{aligned}\mu&=\sum X P(X)\\&=1\times \frac{1}{6}+1\times \frac{1}{6}+4\times \frac{1}{6}+0\times\frac{1}{6}+0\times\frac{1}{6}+0\times\frac{1}{6}\\&=\frac{6}{6}\\&=1\end{aligned}\)

Therefore, the standard deviation (σ)is \(\begin{aligned}\sigma&=\frac{\sum(X-\mu^2)}{n}\\&=\frac{(1-1)^2+(1-1)^2+(4-1)^2+(0-1)^2+(0-1)^2+(0-1)^2}{6}\\&=\frac{12}{6}\\&=2\end{aligned}\)

The answer is $2. The correct option is option E.

The complete question is -

In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4, and if the number of spots showing is 1, 2, or 3 you win nothing. Let X be the amount that you win. Use Scenario 6-2. Which of the following is the standard deviation of X? A. $1.00 B. $1.35 C. $1.41 D. $1.78 E. $2.00

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Answer:

3(6 + 4)

Step-by-step explanation:

We have a model that is showing a certain expression, while knowing that the expression it's showing is "18 + 12"

To solve, all we have to do is simplify the answers. Do as following :

A. 3 + 6 + 4

This is already incorrect, the answer is split into three numbers and we are only looking for two, even if you try combining the numbers to make 2 terms, you will not get 18 + 12.

B. 3(6 + 4)

This is correct, the answer is a distribution problem that when solving :

(3(6) + 3(4))

18 + 12

Gives you what the question is asking for.

C. 3 + 6(4)

This is incorrect, when you distribute 6 and 4, you get 24. Leaving you with the expression 3 + 24.

D. This is incorrect, when you distribute 3 and 6, you get 18. Leaving you with the expression 18 + 4.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

the answer is A

Step-by-step explanation:

if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

C. f(3)=27

Step-by-step explanation:

f(3)=-4(3-6)+15

f(3)=-4(-3)+15

f(3)=12+15

f(3)=27

Answer:

Step-by-step explanation:

787

Answer:

1

Step-by-step explanation:

digit in ten-thousands place is 8

digit in tens place is 7

difference:  8 - 7 = 1

The measure of ∠QTS = 58°

Given; A triangle QPR

PQ = PR

this means that ∠ Q = ∠ R

and QR = QT this means ∠ R = ∠ T

And ST ║ QR

and QT is the transversal

From the above mentioned information we can conclude that

∠QTS = ∠TQR -------------- 1

Thus since ∠ Q = ∠ R  

by using angle sum property of triangle we can conclude that

∠ Q + ∠ R = 116  [ exterior angle sum property ]

2 ∠ Q = 116

∠ Q = 58°

this means ∠ TQR = 58°

And from 1 we know that this angle is equal to angle QTS

Thus ∠QTS = ∠TQR = 58°

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Answer:

f(8) = 216

Step-by-step explanation:

f(x) = (2x −10)³

f(8) = (2(8) −10)³

     = (16 - 10) ^3

     =  6^3

     = 216

f(8) = 216

The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( 2x - 10 )³

To calculate the value of f ( 8 ) , substitute the value of x as x = 8 in the equation , we get

f ( x ) = ( 2x - 10 )³

On simplifying the equation , we get

f ( x ) = ( 2x )³ - ( 10 )³ - 3 ( 2x )²( 10 ) + 3 ( 2x ) ( 10 )²

So , the equation is

f ( x ) = 8x³ - 1000 - 120x² + 600x  

So , the equation is

f ( x ) = 8x³ - 120x² + 600x - 1000

Now ,  substituting x = 8 ,

f ( 8 ) = 8 ( 8 )³ - 120 ( 8 )² + 600 ( 8 ) - 1000

f ( 8 ) =  4096 - 7680 + 4800 - 1000

On simplifying the equation , we get

f ( 8 ) = 216

Therefore , the value of f ( 8 ) = 216

Hence ,

The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216

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Answer:

A.) -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

A² - B²

A = 3

B = -4

Step 2: Evaluate

Given :

Initial length of electric cable needed, \(L=550\ ft\).

Later, Sally is told that the homeowner has decide to cut back from a​ three-car garage to a​ two-car garage, which will eliminate two branch​ circuits, one of 23 feet and the other of 34 feet.

To Find :

How many feet of wire will be needed​ now.

Solution :

Wire needed is given by :

Required = Total wire - ( length of 1nd branch + length of 2nd branch )

Required = 550 - ( 23 + 34 )

Required = 550 - ( 57 ) ft

Required = 443 ft

Therefore, length of wire required is 443 ft.

Hence, this is the required solution.

The length of the electric wire needed is 443 feet.

Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the initial length of electric cable needed is 550 feet. Later, Sally is told that the homeowner has decided to cut back from a​ three-car garage to a​ two-car garage, which will eliminate two branch​ circuits, one of 23 feet and the other of 34 feet.

The wire needed is given by :

Required = Total wire - ( length of 1st branch + length of 2nd branch )

Required = 550 - ( 23 + 34 )

Required = 550 - ( 57 ) ft

Required = 443 ft

Therefore, the length of wire required is 443 ft.

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The vertex οf the parabοla is at the pοint (-3/2, -21/4) and the range οf the functiοn wοuld be (-21/4, infinity).

A quadratic functiοn is a functiοn οf the fοrm  where a, b, and c are cοnstants, and a is nοt equal tο 0. It is a type οf pοlynοmial functiοn that can be graphed as a parabοla, which is a symmetric curve that οpens either upwards οr dοwnwards.

Given the table οf pοints fοr the cοntinuοus quadratic functiοn h(x), we can find the vertex and range οf the functiοn. Since the functiοn is quadratic and cοntinuοus, it can be represented in the standard fοrm \($f(x)=a(x-h)^{2}+k,$\), where (h, k) is the vertex οf the parabοla.

Tο find the vertex, we can use the fact that the x-cοοrdinate οf the vertex is given by -b/2a, where a and b are the cοefficients οf the quadratic term and the linear term, respectively. In this case, a = 1 (since the functiοn is cοntinuοus and quadratic), and b can be fοund using any twο pοints οn the parabοla:

\(\rm b=(h(x_2)-h(x_1))/(x_2-x1)=(4-7)/(-2+1)=3$\)

Therefοre, the x-cοοrdinate οf the vertex is x = -b/2a = -3/2. Tο find the y-cοοrdinate οf the vertex, we can evaluate the functiοn at this value οf x:

\($\rm h(-3/2)=(1)(-3/2-h)^{2}+k$\)

Tο sοlve fοr k, we can use οne οf the pοints οn the parabοla, say (-6, 12):

\($12=(1)(-6-h)^{2}+k\,$\)

Expanding and simplifying, we get:

\($12=(h-6)^{2}+k$\)

Substituting -3/2 fοr h, we get:

\($\begin{array}{l}{{12=(-(3/2)-6)^{2}+k}}\\\\ {{12=81/4+k}}\\\\ {{k=-21/4}}\end{array}$\)

Therefοre, the vertex οf the parabοla is at the pοint (-3/2, -21/4).

Tο find the range οf the functiοn, we can lοοk at the shape οf the parabοla. Since the cοefficient οf the quadratic term is pοsitive, the parabοla οpens upwards, and the vertex is the lοwest pοint οn the graph. Therefοre, the range οf the functiοn is all real numbers greater than οr equal tο the y-cοοrdinate οf the vertex, which is -21/4. In interval nοtatiοn, we can write the range as (-21/4, infinity).

Hence, the vertex οf the parabοla is at the pοint (-3/2, -21/4) and the range οf the functiοn wοuld be (-21/4, infinity).

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Answer:

pppppppppppppppppppppppppppppppppppppppppp

Given

Find

Which statements are true?

Explanation

As we know the properties of dilation ,

1 . each angle of the figure is same.

2. parallel and perpendicular lines (Perpendicular lines is defined as a straight line that makes the right angle with other line) in the figure remain the same as the parallel and perpendicular lines of the dilated figure.

3 . length of the sides of the original image and the dilated image may vary.

therefore , options A , B and D are true.

Final Answer

Therefore , the correct options are A , B and D.

The equivalent exponential expression for this problem is given as follows:

(2/x)² = 4/x².

The expression for this problem is defined as follows:

(2/x)².

We have a fraction that is squared, meaning that both the numerator and the denominator are squared, hence:

This means that the equivalent exponential expression for this problem is given as follows:

(2/x)² = 4/x².

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Answer:

He solved 75% of the puzzles!

Step-by-step explanation:

Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.

18                               3

----  divided by 6  =  ----

24                              4

Now that we have the fraction 3/4, we can turn that into a percentage!

3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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When solving a linear system of equations, you are looking for the points of intersection between the equations

From the question, we have the following parameters that can be used in our computation:

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

2

Step-by-step explanation:

5 + 2(x – 3) = 3(x - 1)

5+2x-6=3x-3

-1+2x=3x-3

-1+3=3x-2x

2=x

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Complete Question

A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim?

State the null and alternative hypotheses for the above scenario.

Answer:

The null hypothesis is  \(H_o : p \le 0.41\)

The  alternative hypothesis  \(H_1 : p> 0.41\)

Step-by-step explanation:

From the question we are told that

      The population proportion is \(p = 0.41\)

        The level of significance is  \(\alpha = 0.10\)

The null hypothesis is  \(H_o : p \le 0.41\)

The  alternative hypothesis  \(H_1 : p> 0.41\)

The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Answer:

15+5x=20x,

15=15x,

x=1

Answer:

x=1

Step-by-step explanation:

15+5x=20x

-5x

15=15x

divide x by 15

so x=1

Answer:

they are adding by 3 1 and 0

Step-by-step explanation:

Answer:

Step-by-step explanation: Mean= 400/15 =26.6

Median = 27

Mode= 35 - 16 =19

No