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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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[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:

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

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!

The number of  pastries will be offered in one year could be 26 and the algebraic expression could be  x = 2 + 2y

What is Arithmetic progression ?

Arithmetic progression could be defined as the sequence of number where the difference between two consecutive number is same.

Given,

Mamas bakery just opened and is currently selling only two types of pastry.

Each month mamas bakery will add two more types of pastry to their menu.

let the number of pastries be x.

let y be the given number of pastries.

Hence the algebraic expression could be

x = 2 + 2y

Number of pastries will be offered in one year could be

x = 2 + 2 * 12

x = 26

Hence, the number of  pastries will be offered in one year could be 26 .

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Answer:

2A/h - b2= b1

Step-by-step explanation:

The commission the salesperson would receive is $490.

What is a commission?

A commission is a payment made to an individual, such as a salesperson or agent, for services rendered or a good sold. The commission is typically a percentage of the sale or revenue generated. This percentage is known as the commission rate.

To find the commission a salesperson would receive from selling a car, we need to multiply the commission rate (5%) by the car's value ($9,800).

The commission rate is given as a percentage, so we need to convert it to a decimal to do the calculation. We can do this by dividing the percentage by 100.

So 5% = 5/100 = 0.05

Then to find the commission the salesperson would receive we multiply:

Commission = 0.05 * $9,800

Commission = $490

Hence, the commission the salesperson would receive is $490.

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Answer:

yes

Step-by-step explanation:

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:

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:

25%

Step-by-step explanation:

Mark as Brainllest

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.

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:

16

Step-by-step explanation:

Answer:

16 balls

Step-by-step explanation:

20-4=16

Answer:

Step-by-step explanation:

54×54

Answer:

perimeter = 2*length + 2*width

2x13 + 2x18 = 62ft

hope that answers your question

Step-by-step explanation:

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

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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In the given pairs of polygons the scale factor of figure A to figure B is  2:4.

The scale factor is calculated using the following fundamental formula: Scale factor = Dimension of the new shape Dimension of the old shape. The formula for calculating the scale factor is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is magnified.

The ratio of a smaller figure's side to its corresponding side in the bigger figure is the scale factor between the two figures.

As a result, the smaller figure's side length of 4 units and its side length of 10 units are equivalent.

Therefore:

Scale factor = 4:10

i.e. 2:5

Simplify

Scale of the smaller figure to the larger is equal to 2:4.

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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.

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:

Step-by-step explanation:

Answer:

12.22

Step-by-step explanation:

There are 360° in a full circle

The circumference of a circle is c = 2πr

----------------------------------

The lenght of the arc will be the portion of the circumferece included in the angle

l = (∅/360) * 2πr

plug in the knowns

l = (70/360) * 2π(10)

l ≈ 12.22

Answer:

y=-1/8x

Step-by-step explanation:

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:

111

Step-by-step explanation:

Please mark brainliest

Therefore , the solution of the given problem of trigonometry  comes out to be surface x² + y² + z² = p².

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.

Here,

Given:

p = sinθ sin∅

To Locate:

the equation's surface

Solution:

adding p to both sides of the equation

p sinθ sin∅ = p²

p sinθ sin∅ = p²

p sinθ sin∅ =y

x²+y²+z²=y

x² + y² - y+ z² = 0

x²+ (y - 1/2)²+ z² = 1/4

r² =1/4, r= √1/4,

The surface of the sphere having a radius of 1/2 and a center at (0, 1/2, 0) is designated as 1/4.

Sphere-centered coordinates

x = sin p sin

y = sin(p), sin(p),

z = p cos∅

x² + y² + z² = p²

Therefore , the solution of the given problem comes out to be surface

x² + y² + z² = p².

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Answer:

c

Step-by-step explanation:

i think ...

Answer:

0

Step-by-step explanation:

Have a great day!

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

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