The data below represents the number of desks on each floor of Texter Corporate.
\qquad54,60,65,66,67,69,70,72,73,75,7654,60,65,66,67,69,70,72,73,75,7654, comma, 60, comma, 65, comma, 66, comma, 67, comma, 69, comma, 70, comma, 72, comma, 73, comma, 75, comma, 76
Which box plot correctly summarizes the data?

[tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors of the quadratic expression.

2x^2 + 5x + 12

Consider given quadratic expression.

2x^2 + 5x + 12

Let f(x) = 2x^2 + 5x + 12

Assume f(x) = 0

2x^2 + 5x + 12 = 0

using the Quadratic Formula where

a = 2, b = 5, and c = 12

[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a} \\\\\\x = \frac{-5\pm \sqrt{5^2 - 4(2)(12)} }{2\times2} \\\\\\x = \frac{-5\pm \sqrt{25 - 96} }{4} \\\\\\x = \frac{-5\pm \sqrt{-71} }{4}[/tex]

The discriminant b^2 - 4ac < 0.

So, there are two complex roots.

[tex]x = \frac{-5\pm71i }{4}[/tex]

This means, [tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors.

2x^2 + 5x + 12

=  [tex](x- (\frac{-5+71i }{4}))[/tex] × [tex](x- (\frac{-5-71i }{4}))[/tex]

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Answer:

=

6

3

+

5

Step-by-step explanation:

the asnwer is x=63x+5

The correct statement regarding the comparison of the linear functions f(x) and the graphed function is given as follows:

A. The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The function f(x) is given as follows:

f(x) = 4x + 2.

The parameters are given as follows:

For the function g(x), we have that:

Hence the correct option is given by option a, as the function f(x) has a greater rate of change, of 4, compared to the graphed function, of 2.

The graphed function is given by the image presented at the end of the answer.

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Answer:

perimeter = 2*length + 2*width

2x13 + 2x18 = 62ft

hope that answers your question

Step-by-step explanation:

Answer:

2A/h - b2= b1

Step-by-step explanation:

This type of blinding is used to prevent a potential source of bias in the experiment. By keeping the subjects unaware of the treatment they are receiving, the researchers can eliminate the possibility of any psychological effects influencing the outcome of the study. This is particularly important in cases where a treatment is being evaluated for subjective outcomes such as pain, anxiety, or depression, as the subjects' expectations and beliefs can influence their perception of the treatment's effectiveness. By keeping the subjects blinded to their treatment, researchers can ensure that the results of the study are as unbiased as possible.

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Route B: You arrived on time 11 out of 14 times or about 79% of the time.

On solving the provided question we can say that the percentage discount will be equal to 20%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

Tomas wants to buy a new baseball bat. T

he one he likes costs $130, but it is on sale for $104.

The discount percentage will be calculated as:-

( $130 - $104) = $26

( 26 / 130) x 100 = ( 2600 / 130 ) = 20%

the discount will be equal to 20%.

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Answer:

111

Step-by-step explanation:

Please mark brainliest

Based on this information, Gregory can make a valid conclusion.

Sampling methods are methods used to create a sample in for a survey. There are probability sampling methods as well as non probability sampling methods.

Given sampling method done by two students, Mike and Gregory, to choose a sample of students to survey the students interested in summer camp.

Names of students are listed in an alphabetical order.

Mike chooses the name of every student in 7th grade on the list and Gregory chooses the name of every 3rd student on the list.

The sampling of Mike will lead to sampling bias. Here the conclusion which can be made about the total population is weaker because only the students of particular class is attending. Conclusions may be more limited.

Whereas in the case of sampling of Gregory, he uses one of the probability sampling method called systematic sampling method. The sampling using probability sampling method is more convenient as it has less sampling bias as well as research bias.

Hence Gregory can make a valid conclusion in this case.

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Answer:

P(has 32 GB) = .382

Step-by-step explanation:

There are 75 + 95 + 42 + 63 = 275 total tablets

There are 42 + 63 = 105 tablets of 32 GB

P(has 32 GB) = 105/275 = .382

Answer:

30° and 150°

Step-by-step explanation:

Supplementary angles sum to 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of 1 part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

5 parts = 5 × 30° = 150°

smaller angle = 30°

larger angle = 150°

Answer:

180

Hope this helps

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

(8x - 46) + (10x - 8) = 180

18x - 54 = 180

      +54    +54

18x = 234

/18     /18

x = 13

Check work:

8(13) - 46 = 10(13) - 8

8(13) - 46 = 58

10(13) - 8 = 122

58 + 122  = 180

The value of linear equations are  f(x) = -17 and f(x) = -73 .

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

Equation with two variables of degree one is referred to as a linear equation with two variables. Formal expression: ax+by+c=0, where a, b, c R & a, b 0.

A)

   f (x) = -2*12 + 7

          = -24 + 7

          = -17

       f(x) = 5*-14 - 13

             = -60 -13

             = -73

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Answer: slope=2

Step-by-step explanation:

using y=mx+b, we know the equation of the line is y=2x. The slope is the m term so we know that the slope is 2.

Answer:

Step-by-step explanation:

Use below formula and find the missing probability:

Answer:

Step-by-step explanation:

54×54

Answer:

yes

Step-by-step explanation:

Answer:

i dont really know answers sorry just bored lol

Answer:

y=-1/8x

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Have a great day!

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

w = 9

m <4 = 157

m<2 = 23

Step-by-step explanation:

The measure of the arc of a straight line is 180⁰.

so angle 1 + angle 3 = 180⁰.

(3w - 4) + 157 = 180

3w = 27

w = 9

Answer:

w = 9

m 4 = 157

m<2 = 23

Step-by-step explanation:

3*9 - 4 = 23

23 + 157 = 180 so it is correct.

180 - 23 = 157

Have a nice day!

Answer:

c

Step-by-step explanation:

i think ...

Answer:

f(8) = -68

Step-by-step explanation:

f(x) = -x² - 2x + 12

f(8) = ?

We just need to put 8 in for the x and solve it

f(8) = -(8)^2 -2(8) + 12

f(8) = -64 -16 +12

f(8) = -80 + 12

f(8) = -68

Answer:

25%

Step-by-step explanation:

Mark as Brainllest

The probability that the red die shows an even number or the green die shows an even number is 3/4

The sample space of a die is:

S = {1,2,3,4,5,6}

There are 3 even numbers in the above sample space

This means that the probability that a die shows an even face is:

P(Even) = 3/6 = 1/2

So, we have:

P(Even Red) = 1/2

P(Even Green) = 1/2

The required probability is then calculated as:

P = P(Even Red) + P(Odd Red) - (P(Even Red) * P(Odd Red))

This gives

P = 1/2 + 1/2 - 1/2 * 1/2

Evaluate

P = 3/4

Hence, the probability is 3/4

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Answer: 0.65

Step-by-step explanation:

Two angles are said to be complementary angles when the sun of their angles will be equal to 90°. In this case, since the angle given is 75°, then the other angle will be:

= 90° - 75°

= 15°

Therefore, we'll then find the sine of 15° which will be:

= Sine 15°

= 0.65

Therefore, the correct option is A.