For the following problems, use the following scenario. A teacher wants to select 5 of the 26 students in her class to work out a problem on the board. Determine whether the strategy would result in a fair or unfair decision. (a) The names of all the students are written on paper and drawn from a hat. The first five names drawn will work the board.(b) The name of the students listed alphabetically and the teachers choose the first 5 names.(c)The teachers choose the First 5 students to enter the classroom. (d)The teacher assigns each student a number and spins a spinner number 1 to 26. The teacher chooses the students with the first 5 different numbers that she spins.

The equation of line passing through point (6, 8) is equal to (y - 8) = m(x - 6) where m is the slope..

If we need to find the equation between two points (x₁, y₁) and (x₂, y₂), we use the formula

(y - y₁) = m(x - x₁); where m is the slope which is expressed as

m = (y₂ - y₁)/(x₂ - x₁)

Since for the first we don't have the second point so we assume the slope as 'm' and the Equation will be

(y - 8) = m(x - 6)

Now, the points are (0, 1) and (5, 3)

m = (3 - 1)/(5 - 0)

m = 2/5

Equation will be: (y - 1) = 2/5(x - 0)

=> 5y = 2x + 5

Now, the points are (-2, 2) and (0, 5)

m = (5 - 2)/(0 + 2)

m = 3/2

Equation will be: (y - 2) = 3/2(x + 2)

=> 2y = 3x + 10

Now, the points are (5, 0) and (-8, 0)

m = (0 - 0)/(-8 - 5)

m = 0

Equation will be: (y - 0) = 0(x - 5)

=> y = 0

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Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

Answer:

$9,360

Explanation:

so for 1040 hours, he earned:

$9 * 1,040

$9,360

Answer:

Step-by-step explanation:

Simply add the 2 costs together and divide it by 4:

1308 + 860 = 2168

2168/4 = 542

The value of x with the given condition is 10

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

D(7,2), E(1, 9), F(4,8), and G(x, 1),

Also, we have

DE || FG

This means that the lines DE and FG are parallel lines and they have equal slope

The slope is then calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)

Evaluate the difference

-7/6 = -7/(x - 4)

So. we have

x - 4 = 6

Evaluate

x = 10

Hence. the value of x is 10

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The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Let's assume the probability of picking an orange marble is p, then the best prediction for the number of times you will pick an orange marble can be estimated as:

Best prediction = p × 12

If you select a marble without looking and put it back, the probability of picking an orange marble remains the same for each draw. Without any additional information about the marbles and their colors, we cannot make a specific prediction about the number of times you will pick an orange marble.

However, we can make an estimate based on probability. If we assume that the marbles are evenly distributed and there are n marbles in total, with k of them being orange, then the probability of picking an orange marble on each draw is k/n.

Since you are drawing 12 times, we can estimate the number of times you may pick an orange marble based on this probability. The best prediction possible would be the expected value, which is calculated by multiplying the probability of success (picking an orange marble) by the total number of trials (12).

Expected value = Probability of success × Total number of trials

Let's assume the probability of picking an orange marble is p, then the best prediction for the number of times you will pick an orange marble can be estimated as:

Best prediction = p × 12

However, without knowing the actual number of orange marbles and the total number of marbles, we cannot provide an accurate estimate for the best prediction.

To make a more precise prediction, it is necessary to have information about the distribution of marble colors or conduct further experiments to

determine the actual probabilities of selecting an orange marble.

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Answer:

sa =45

vol = 6000.

I hope it helps. and if you can, give me the brainlist

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Answer:

Hello,

Answer B

Step-by-step explanation:

If (9, x − 1, x ) is a Pythagorean triplet then
9²+(x-1)²=x²

81+x²-2x+1=x²

82=2x

x=41

x-1=40

(9,40,41) is the right triplet : answer B

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

45 5+[5(4+2)]?

Step-by-step explanation:

i hope is helped:)

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer: I don’t think I understand can you set this up differently so I can answer this please

Step-by-step explanation:

Answer:

Does the answer help you?

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

Answer:

\(\frac{1}{2}\) blocks

Step-by-step explanation:

If it takes 15 minutes to walk 7 1/2 blocks, it should be 15:17\(\frac{1}{2}\)

The left side is minutes and the right side is the number of blocks

15:17\(\frac{1}{2}\)

 1: ?  Since we are figuring out how many blocks he can walk in a minute, the left side is 1 and the right side is a question mark because we have not figured it out yet.

15: 17 \(\frac{1}{2}\)    Divide by 15 on both sides because that is the "distance" from 15 to1

 1 : ?

1: \(\frac{1}{2}\)

So the answer is \(\frac{1}{2}\)

Answer:

The answer is A.

Step-by-step explanation:

1 plus 2x (276-5y) + 69= A.

a) As P-value is less than the level of significance ∝=0.05, we reject the null hypothesis.

b) Effective size = 0.5405

c)There is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

What is hypothesis testing in statistics?

A statistical hypothesis test is a statistical inference method used to determine whether the data at hand sufficiently support a specific hypothesis. We can make probabilistic statements about population parameters thanks to hypothesis testing.

From the given information, the mean of the differences is\(d =M_d = 1.40\),

the standard deviation of the differences s = 2.59, and n = 15.

Paired t-test or dependent samples test is suitable for testing the required.

(a) Null Hypothesis: \(H_0:\)\(\mu_D=0\)

Alternative Hypothesis: H1: \(\mu_D > 0\), One-tailed test.

The level of significance is ∝ = 0.05 then the critical value is \(t_{0.05}= 1.761\) ,

degrees of freedom n - 1 = 15 - 1 = 14.

we reject the null hypothesis, otherwise, we fail to reject it.

The test statistic

                  \(t_{cal}=\frac{d}{s_d/\sqrt{n} } \\\\t_{cal}=\frac{1.40}{2.59/\sqrt{15} }\\\\t_{cal}=2.0935\)

The test statistic value is greater than the critical value \(t_{0.05}= 1.761\) .

It falls in the rejection region, we reject the null hypothesis.

P-value = P(t> 2.0935)=0.027,

P-value less than the level of significance ∝=0.05, we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

b)

Effect size ⇒

                     \(=\frac{M_d}{SD_d}\\\\=\frac{d}{s_d}\\\\=\frac{1.40}{2.59}\\\\=0.5405\)

c) Therefore, there is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

Hence,

a) As P-value is less than the level of significance ∝=0.05, we reject the null hypothesis.

b) Effective size = 0.5405

c)There is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

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Answer:

\(m\angle PUQ = 43\textdegree\)

Step-by-step explanation:

\(\angle PUQ\), \(\angle QUR\), \(\angle RUS\), and \(\angle RUT\) all form a straight line, so their measures add up to \(180 \textdegree\). Therefore, \(m\angle PUQ = 180 \textdegree - m\angle QUR - m\angle RUS - m\angle RUT\) \(=180\textdegree - 49\textdegree - 52\textdegree - 36 \textdegree = \bold 4 \bold3\bold\textdegree\). Hope this helps!

Math isn't my best subject, but I beleive its 43.

49+52+36=137

137-180= 43.

Sorry if it's correct, but I believe 43 is the answer.

Answer:

I will help you since you asked :) sorry for taking so long

step explanation:

The solution is f ( x ) = ( x + 1 )² ( x - 4 )

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

The equation is f ( x )

f ( x ) = ( x² + 2x + 1 ) ( x - 4 )

On Simplifying the equation , we get

f ( x ) = ( x³ - 4x² + 2x² - 8x + x - 4 )

Now , this is a polynomial equation and can be plotted on a graph and is shown below

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Answer:

2z + 33

Step-by-step explanation:

Add like terms like below:

(32 - 4) + (2z + 5) = 28 + 2z + 5

Combine like terms again:

(28 + 5) + 2z = 33 + 2z or 2z + 33

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

  = 4/3 pi ( 7)^3

  = 1372/3 pi in^3

Using 3.14 for pi

V =1436.0266666 in^3

Using the pi button

1436.75504 in^3

The sum of the geometric series is 1328600

The given parameters are:

a1 = 5

r = 3

n = 12

The sum of the terms is:

\(S_n = \frac{a(1 - r^n)}{1 - r}\)

This gives

\(S_n = \frac{5 * (1 - 3^{12})}{1 - 3}\)

Evaluate the difference

\(S_n = \frac{5 * (1 - 531441)}{-2}\)

This gives

\(S_n = \frac{5 * - 531440}{-2}\)

Evaluate

\(S_n = 1328600\)

Hence, the sum of the geometric series is 1328600

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Answer:

D, X<0

‎‎‎‎‎‎‎‎ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

40%

Step-by-step explanation:

8/20 times 5 = 40/100 = 40%

As per the angle sum property, the interior angles that form the triangle is option

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

Angle sum property

Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.

Given,

Here we have the list of interior angles

A. 45, 45, 45*

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

E. 90,90°, 45°

F. 90, 90, 90°

Now, we have to find in which for these angle will form the tringle.

As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.

Based on these we have to verify each of the given interior angles,

A) 45 + 45 + 45 = 135

B. 60 + 60 + 60 = 180

C. 40 + 50 + 90 = 180

D. 30 + 60 + 90 = 180

E. 90 + 90 + 45 = 225

F. 90 + 90 + 90 = 270

Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.

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To construct a frequency distribution and frequency histogram of the data using five classes, we first need to determine the range of the data and the class interval.

The range is the difference between the highest and lowest values in the data set, in this case, 98 - 1 = 97.

We can divide the range by the number of classes to determine the class interval. In this case, 97/5 = 19.4.

We will round up to 20 to have easily divisible numbers.

The class intervals with the frequency would be:

1-20: 3

21-40: 2

41-60: 0

61-80: 3

81-100: 2

Next, we need to create a frequency histogram by plotting the class intervals on the x-axis and the frequencies on the y-axis, and then drawing a bar for each class interval representing the frequency.

The histogram will be skewed right. A histogram is skewed right when the tail of the histogram extends farther to the right than the left. In this case, the majority of the data falls in the lower class intervals, but there are a few outliers on the higher end, which extends the histogram to the right.

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