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Showing Data Center and Spread: Mastery Test
1
Select the correct answer from each drop-down menu.
Which data set has a greater spread? Why?
Set A: {38, 12, 23, 48, 55, 16, 18}
Set B: {44, 13, 24, 12, 56}
which set has a greater spread because why

Answer:

55

Step-by-step explanation:

sinx = opposite/hypotenuse = 9/11

x = arcsin(9/11) = 54.9031987, which is about 55, degrees

Answer:

The sample proportion is 0.55

Step-by-step explanation:

Given that:

Successful outcomes = 44

Size of sample = 80

We will divide the number of successful outcomes by size of sample to find the sample proportion.

Sample proportion = [tex]\frac{Successful\ outcomes}{Size\ of\ sample}[/tex]

Sample proportion = [tex]\frac{44}{80}\\[/tex]

Sample proportion = 0.55

Hence,

The sample proportion is 0.55

Answer:

0.55

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

~30

Step-by-step explanation:

By using division, the answer is 29.34. If the question is asking to estimate, I would estimate the quotient as 30.

Answer:

-7a + - 11 or -7a - 11

Step-by-step explanation:

1. -0.5 x 14a = -7a

2. -0.5 x 22 = -11

Answer:

-7a + 11

Step-by-step explanation:

-0.5(14a - 22)

Distribute:

-0.5 times 14a = -7a

-0.5 times -22 = 11

so you have:

-7a + 11

Answer:whole sheet?

Step-by-step explanation:

Answer:

i would if you put me brainilest

Step-by-step explanation:

Answer:

[tex] - \frac{ 1}{2} \cos(2x) + c[/tex]

The ratio of the change in the y and x values, in the table gives the slope

graph of the linear function.

Correct response:

From the given table, we have;

The first difference of the y-values = 2 - 8 = -6 = Constant

The rate of change of the x-values = 1 = Constant

Therefore;

The function is a linear function;

The slope, m, is given by the formula;

[tex]Slope, \ m = \mathbf{ \dfrac{y_2 - y_1}{x_2 - x_1}}[/tex]

Taking a pair of points as follows;

(0, -4) = (x₁, y₁)

(2, -16) = (x₂, y₂)

We have;

[tex]m = \dfrac{-16 - (-4)}{2 - 0} = \dfrac{-16 + 4}{2} = \dfrac{-12}{2} = \mathbf{ -6}[/tex]

Learn more about linear functions here:

https://brainly.com/question/14322770

Answer:

Step-by-step explanation:

H

Answer:

0.7, 0.38, -0.6, and -0.09

Step-by-step explanation:

Hey there!

Guide:

• NEGATIVES are BELOW zero

• POSITIVES are ABOVE zero

• DECIMALS are BELOW zero

Highest to lowest: –0.6, 0.38, –0.09, 0.7

0.7 ⬅️ HIGHEST

0.38 ⬅️ 2nd HIGHEST

–0.09 3rd HIGHEST ⬅️

–0.6 ⬅️ LOWEST

Answer: 0.7 , 0.38, –0.09, and –0.6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Option B

Step-by-step explanation:

Let's take a vertex G of quadrilateral GHJK to understand the rule for the translation,

From the graph attached,

Coordinates of G → (-5, 5)

Coordinates of the image point G' after the translation → G'(-5, 5)

Let the point G is translated 'a' units to the right and 'b' units down,

Rule for this translation,

G(x, y) → G'(x + a, y - a)

By this rule,

G(-5, 5) → G'(-5 + a, 5 - a)

-5 + a = -5 ⇒ a = 0

5 - a = 5 ⇒ a = 0

Therefore, vector that defines the translation will be,

<0, 0>

Option B is the the correct option.

The vector that describes the translation of the image is: b. (0, 0).

Recall the rules of translation:

Thus, from the image given to us showing the image of GHJK, using one of the vertex J' (-3, 3) and the translation rule, [tex](x + a, y - b)[/tex], the vector describing the translation can be determined as follows:

The coordinates of vertex J = (-3, 3)

[tex]x = -3 \\\\ y = 3[/tex]

[tex]J(-3, 3) = (-3 + a, 3 - b)\\\\-3 = -3 + a\\\\-3 + 3 = a\\\\\mathbf{0 = a} \\\\\\3 = 3 + b\\\\3 - 3 = b\\\\\mathbf{0 = b} \\\\[/tex]

Therefore, the vector that describes the translation of the image is: b. (0, 0).

Learn more here:

https://brainly.com/question/3222741

Answer:

12n + 60

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

(n + 12) × 5 + 7n

Step 2: Simplify

The solution of the equation will be x = - 11/2 ± 5√5/ 2. Then the correct option is D.

The quadratic equation is given as ax² + bx + c = 0.

Then the solution is given as

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The quadratic equation is given below.

x² + 11x + 121/4 = 125/4

  x² + 11x + – 1 = 0

Comparing with the standard equation, we have

a = 1, b = 11, and c = –1

Then the roots of the equation will be

[tex]\rm x = \dfrac{-11\pm \sqrt{11^2 - 4*1*(-1)}}{2*1}\\\\\\\rm x = \dfrac{-11 \pm \sqrt{121 +4}}{2}\\\\\\\rm x = \dfrac{-11\pm \sqrt{125}}{2}\\\\\\x = \dfrac{-11}{2}\pm \dfrac{5\sqrt{5}}{2}[/tex]

Then the correct option is D.

More about the solution of the quadratic equation link is given below.

https://brainly.com/question/17376136

#SPJ5

Answer: C

Step-by-step explanation:

Answer:

d. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis

Step-by-step explanation:

Solid transformation is a process which changes the orientation, shape and size of a given objects. Types of solid transformation are: rotation, reflection, dilation etc. This process would produce an image of the initial figure which has been transformed appropriately.

From the given question, figure PQRS can be transformed into P′Q′R′S′ by a  counterclockwise rotation at [tex]90^{o}[/tex] about the origin. This would be followed by a reflection about the y-axis.

Thus, the correct option is D.

Answer:

19/15

Step-by-step explanation:

We need to find the difference, so subtraction. But first we should make them improper fractions:

(18/5)-(7/3)

Lets make the common denominator 15:

(54/15)-(35/15)

54-35= 19

19/15

Answer:

3

Step-by-step explanation:

The exponent is 3 because of the ^

Answer:

3  

Step-by-step explanation:

Answer:

1 L = 1000 ml

Step-by-step explanation:

342L = 342 ml

645 ml = 645 ml

The given quantity 342 l 645 ml can be written as 342645 ml.

Given that, 342 l 645 ml.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 l = 1000 ml

Now, 342 l = 342000 ml

So, 342 l 645 ml = 342000+645 = 342645 ml

Therefore, the given quantity 342 l 645 ml can be written as 342645 ml.

To learn more about the metric conversion visit:

https://brainly.com/question/10943201.

#SPJ2

Answer: 8

Step-by-step explanation:

By the angle bisector theorem,

[tex]\frac{12}{18}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\ \\ x=\boxed{8}[/tex]

Answer:the answer is 1/2

Step-by-step explanation:

all you have to do is subtract 7/8 from 3/8 and you get 4/8. And after that all that has to be done Is a bit of simplfing. Really this question is not that hard.

Answer:

no yes yes no

Step-by-step explanation:

because linear means straight line if the line isnt a straight equation its wrong (: other ones have example: ^3 and ^2 so that makes the problem not straight anymore (:

Answer:

The missing value is 5.

Step-by-step explanation:

Since we already have x-value for the equation. What we need to do is to substitute the value of x in the equation.

Substitution

[tex]5x - 2y = 30[/tex]

Then we substitute x = 8 in the equation.

[tex]5(8) - 2y = 30 \\ 40 - 2y = 30 \\ 40 - 30 = 2y \\ 10 = 2y \\ \frac{10}{2} = y \\ 5 = y[/tex]

Answer Check

It is better to check the answer before jumping to the conclusion. We can check if the answer is right by substituting both terms in the equation. If the equation is true then the answer is correct. If the equation is false then one of the term is incorrect.

[tex]5x - 2y = 30[/tex]

Substitute x = 8 and y = 5 in the equation.

[tex]5(8) - 2(5) = 30 \\ 40 - 10 = 30 \\ 30 = 30[/tex]

The equation is true for (8,5)

Therefore, the missing value is 5.

Answer:

500 miles

Step-by-step explanation:

2,500 divided by 5 = 500

Answer:

1/4

Step-by-step explanation:

broken up, 3/4 is 1/4+1/4+1/4, take one of the 3 away, and the one you take away is 1/4.

Answer:

in a parallelogram the consecutive angles are  equal to 180

ange C = 180-110 = 70  

Step-by-step explanation:

Answer: Ok first if you read the directions read them again, then you look at the problem carefully and make an equation that should look close to this: 0.75xp=c, Once you have that equation you have to replace the p with a 2 and multiply to get an answer of 1.50. The second part would be taking 0.5x2 which is easy it would be 0.10 then you take that and minus it from the total of the last problem which would get you to $1.40

Step-by-step explanation:

Answer:

I looked it up and it says in a hierarchy based on similarities and physical traits as well as binomial nomenclature but you don't have that answer and it also says it describes the linnean taxonomy

Step-by-step explanation: but I think it's animals and species

sorry but hope this helps

Answer:

p= -2

Step-by-step explanation:

24+8p= -40-24p

32p= -64

p= -2

Step-by-step explanation:

24 + 8p = -8(5+ 3p)       Original Problem

24 + 8p = -8(5) + -8(3p)   Distributive property

24 + 8p = -40 - 24p       Simplification

24 + 8p - 24 = -40 - 24p -24     Grouping the constants

8p = -64 - 24p                 Simplification

8p + 24p = -64 -24p +24p   Grouping the variables

32p = -64                          Simplification

32p/32 = -64/32               Isolating the variable

p = -2                                 The Answer!!!!

I hope this helps!!!