Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 94 politically conservative voters, r1 = 15 responded yes. Another random sample of n2 = 84 politically moderate voters showed that r2 = 21 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use = 0.05.
1. What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)
2. Find (or estimate) the P-value. (Round your answer to four decimal places.)

The best way to approach a question of this nature is by applying the rule of BODMAS. Just a quick reminder, that means Bracket of Division, Multiplication, Addition and Subtraction.

Observe that the numbers in the parenthesis have a minus and a plus sign, and the question of which to take before the other now arises. So we'll take the addition first before the subtraction.

Start with the smaller parenthesis inside the larger parenthesis. The solution to that is (5-4)^9 which is 1^9. One raised to the power of nine is one, that is;

1^9 = 1

So what you have in effect is;

18/ [8 - 6 + 1]

That effectively becomes

18/ [8 - 7]

18/1

That equals 18.

**Note that the values 8 - 6 were not put in parenthesis, and hence we had to apply the rule of BODMAS. If they had been separated by another smaller parenthesis, then the result would have been [8 - 6] + 1^9 which would be 2 + 1.**

The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Answer:

2nd one

Step-by-step explanation:

Answer:

5y=45 if y=9

Step-by-step explanation:

5y=45 if y=9

5(9)=45

45=45

Answer:

21 °C

Step-by-step explanation:

Let's assume the temperature drop (3 °C) per hr is x

This means the total temperature drop would be 7x because 7 hours

7(3°C)=21°C

Answer:

the answer is 21 °C

Answer:

The correct answer is (C)

Step-by-step explanation:

answer on edge test

The equation showing (-10,8) being used in writing the line in the point-slope form will be y-8= -0.2(x+10) where 0.2 is the slope and (-10,8) is the point.

The equation of straight line passing through two points (x1,y1), (x2,y2) will be calculated as

(y-y1)/(x-x1)= m, where m is the slope of staright line and

m=  (y2-y1)/(x2-x1)

where (x1,y1), (x2,y2) are the coordinates of the two points passing through the line.

Here are given in the table are the points which are satisfying the linear equation.

Using two points from the table (-10,8) and (-5,7)

where x1= -10      y1=8

x2= -5       y2=7

m= (y2-y1) / (x2-x1)= (7-8) / (-5-(-10))= (-1)/(-5+10) =(-1)/5= -0.2

So now using the point of coordinate (-10,8)

(y-y1)/(x-x1)= m

⇒(y-y1)/(x-x1)= -0.2

⇒ (y-8)/(x-(-10)) =-0.2

⇒(y-8)/(x+10) =0.2

⇒y-8= -0.2(x+10)

⇒y=-0.2x-2+8

⇒y= -0.2x+6

Therefore the equation showing (-10,8) being used in writing the line in the point-slope form will be y-8= -0.2(x+10) where 0.2 is the slope and (-10,8) is the point.

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Answer:

23.96g

Step-by-step explanation:

Make sure to thank me!!!

Answer:

the highest common factor of 9x^2y

Answer:

10x-3y=12

Step-by-step explanation:

In algebra, we always add alike terms. Meaning, when a set has numbers with the same variable, in this case it was x, we can add/substract/divide them to simplify the equations.

The measure of one of its angle is 150°

A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.

Given that

12 sided regular polygon

We can use the following formula to calculate the total number of degrees in any shape:

(n−2)⋅180

[Where n = number of sides]

(12−2)⋅180

(10)⋅180

=1800

So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.

(1800/12) = 150°

Therefore the measure of one of its angle is 150°

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Answer:

19

Step-by-step explanation:

10 add 9 equals 19

Hey there!

The answer is 19

Suppose you have 9 dolls, and your friend Bobalicious Bob gives you 10 more. How many do you have now? Well, you now have 19.

Have a great day! Hope it helps!

The probability 7C3 = 35 possible ways to place 7 identical balls into 3 identical boxes.

The number of ways to place 7 identical balls into 3 identical boxes can be calculated by using the combination formula. The formula for combinations is nCr = n! / (r! (n-r)!), where n represents the total number of items and r represents the number of items being chosen. In this case, n = 7 and r = 3, so the formula becomes 7C3 = 7! / (3! (7-3)!). This simplifies to 7C3 = 7! / (3!4!) = 35. Therefore, there are 35 possible ways to place 7 identical balls into 3 identical boxes.

In each case, the balls can be placed into one box, two boxes, or three boxes, depending on how many balls are placed in each box. If one ball is placed in each box, then the remaining four balls can be placed in any of the boxes, giving four possibilities. If two balls are placed in each box, then the remaining one ball can be placed in any of the boxes, giving three possibilities. Finally, if all seven balls are placed in one box, then there is only one possibility. When the combinations of each scenario are added together, the total number of possible ways to place 7 identical balls into 3 identical boxes is 35.

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Answer:

yes, the answer is A

Step-by-step explanation:

choose A and move on.

Answer:

A

Step-by-step explanation:

Hope this helps

There are a total of 44 candies in the box.

The total ratio is 24

Let;

11/22 * x = y  ----  (1)

If the candies were shared equally

The ratio of candies in R will be 6

6/24 * x = y - 11 --- (2)

substitute  y = 11/22 * x  in (2)

6x/24 = 11x/22 - 11

x/4 = x/2  - 11

multiply through with 4

x = 2x - 44

x = 44

Therefore, there are a total of 44 candies.

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It should be 33.49 sorry if I’m a little off!

The scatterplot and the line of the best fit are given below.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

Ben has information about the height in cm and the weight in kg of each of the ten rugby players.

Height in centimeters      weight in kilograms

174                                     88

176                                      91

180                                     92

180                                       94

183                                      94

186                                       98

187                                       100    

191                                       100.5

188                                      102.5

193                                      103.5

The scatterplot is given in the attached image below.

Therefore, the scatterplot is given.

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The complete question:

Ben has information about the height in cm and the weight in kg of each of the ten rugby players and is asked to draw a scatter graph here is his answer

Height in centimeters      weight in kilograms

174                                     88

176                                      91

180                                     92

180                                       94

183                                      94

186                                       98

187                                       100    

191                                       100.5

188                                      102.5

193                                      103.5

Answer:

Step-by-step explanation:

answer is 16

We would need to move 8 units along the y-axis to be lined up across from point D.

In an ordered pair (x, y), x represents the coordinate along the horizontal x-axis, and y represents the coordinate along the vertical y-axis. The origin is located at (0, 0), where both coordinates are equal to zero.

In this case, to determine how many units to move along the y-axis to be lined up across from point D, we need to know the y-coordinate of point D. If the coordinates of point D are given, we simply need to take the absolute value of the difference between the y-coordinate of the origin (which is 0) and the y-coordinate of point D.

For example, if the coordinates of point D are (5, 8), we would need to move 8 units along the y-axis to be lined up across from point D. The calculation would be:

|0 - 8| = 8

So, we would need to move 8 units along the y-axis to be lined up across from point D.

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Answer:

i cant answer this because of my school computer but its simple

Step-by-step explanation:

Answer: x & y

              0 & -3

              1  & 5

slope : 8

y intercept : -3

Answer:  Median

The median is not affected by large or small outliers.

The mean on the other hand is affected by outliers. The more distant the outlier, the more skewed the mean will be.

For example, home prices will have a larger than normal mean because of very rich mansions which are far above the average group. This is why the median home price is a more useful measure of center.

Answer:

\(5.4 \times {10}^{ - 17} {m}^{2} \)

\(s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} \)

Analysis means examining the whole in order to learn about the individual elements. Correct option is b).

Analysis involves breaking down a complex system or situation into smaller parts in order to understand how they work together. This process allows for a more detailed examination of the individual components, which can then be studied in isolation or in relation to one another.

Analysis is a critical part of problem-solving and decision-making, as it enables us to identify patterns and relationships that might not be immediately apparent. By analyzing a situation or system, we can gain a deeper understanding of its strengths, weaknesses, opportunities, and threats, which can inform our strategic planning and risk management efforts. Correct option is b).

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Answer:

x = 6.375

Step-by-step explanation:

Step 1:

4.2+0.8 = 5

(1.6x+1.8)÷2.4 = 5

Step 2:

5 · 2.4 = 12

1.6x + 1.8 = 12

Step 3:

12 - 1.8 = 10.2

1.6x = 10.2

Step 4:

10.2 ÷ 1.6 = 6.375

x = 6.375

The angular acceleration and angular speed of the pulley at t = 4.9 s areA) 48.7 rad/s² and B)85.89 rad/s, respectively.

Given data :Rotational inertia of pulley about its axle = I = 2.4×10⁻² kg-m²

Radius of pulley = r = 11 cm = 0.11 mForce acting on pulley = F = 0.6t + 0.3t² at t = 4.9 s

(a) Angular acceleration of the pulleyThe torque applied on the pulley,τ = F×r

Torque is given byτ = I×αwhere α is the angular accelerationI×α = F×rα = F×r / II = 2.4×10⁻² kg-m²r = 0.11 mF = 0.6t + 0.3t² = 0.6×4.9 + 0.3×(4.9)² = 10.617 Nτ = F×r = 10.617×0.11 = 1.16787 N-mα = τ / I = 1.16787 / 2.4×10⁻² = 48.7 rad/s²

Therefore, the angular acceleration of the pulley is 48.7 rad/s².

(b) Angular speed of the pulleyUsing the relation,ω² = ω₀² + 2αθwhere ω₀ = initial angular speed of pulley = 0θ = angular displacement of pulleyAt t = 4.9 s, the angular displacement of pulley is given byθ = ω₀t + ½ αt²

where ω₀ = initial angular speed of pulley = 0t = 4.9 sα = 48.7 rad/s²θ = 0 + ½×48.7×(4.9)² = 596.22 rad

Therefore,ω² = 0 + 2×48.7×596.22ω = 85.89 rad/s

Therefore, the angular speed of the pulley is 85.89 rad/s.Thus, the angular acceleration and angular speed of the pulley at t = 4.9 s are 48.7 rad/s² and 85.89 rad/s, respectively.

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Rita's old lawn mower will start after exactly three pulls 12.8% of the time,

The binomial probability formula states that the probability of success occurring precisely x times in n trials is equal to the product of the probability of success (p) and the probability of failure (1-p) raised to the power of n-x. This can be used to calculate this. The probability of success occurring exactly three times is equal to 0.2 x 0.8 x 0.8, or 12.8%, given that the number of trials (n) and the probability of success (p) is both 20 percent.

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To find the value of x, we need to use the fact that when two lines intersect, the sum of the adjacent angles formed is equal to 180 degrees.

In this case, the angle formed between lines s and t is 23 degrees, and the angle formed between lines r and s is 106 degrees. Let's denote the angle between lines t and r as x.

Using the information given, we can set up the equation:

(106 degrees) + (23 degrees) + x = 180 degrees

Combine the known values:

129 degrees + x = 180 degrees

To isolate x, subtract 129 degrees from both sides of the equation:

x = 180 degrees - 129 degrees

x = 51 degrees

Therefore, the value of x is 51 degrees.

In conclusion, the value of x, the adjacent angles formed between intersecting lines t and r, is 51 degrees.

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Vector that as a linear combination of the unit vectors i and j of (-7, √3) is -7 * i + √3 * j

To write the vector (-7, √3) as a linear combination of the unit vectors i and j, we need to determine the coefficients that multiply the unit vectors to obtain the components of the given vector.

The unit vectors i and j represent the directions of the x-axis and y-axis, respectively. The vector (-7, √3) can be expressed as:

(-7, √3) = a * i + b * j

where a and b are the coefficients we need to find.

The coefficient a represents the component of the vector (-7, √3) in the x-direction, parallel to the x-axis, and the coefficient b represents the component in the y-direction, parallel to the y-axis.

To find the coefficients, we can equate the corresponding components:

-7 = a

√3 = b

Therefore, the vector (-7, √3) can be written as:

(-7, √3) = -7 * i + √3 * j

In this representation, the coefficient -7 indicates that the vector (-7, √3) has a magnitude of 7 in the negative x-direction (opposite to the x-axis), and the coefficient √3 indicates that it has a magnitude of √3 in the positive y-direction (parallel to the y-axis).

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Answer:

Step-by-step explanation:

The equation of an ellipse centered at the origin with height 8 units and width 16 units is (x² / 64) + (y² / 16) = 1.

To write the equation of an ellipse centered at the origin with height 8 units and width 16 units, we need to determine the semi-major axis (a) and the semi-minor axis (b). The width corresponds to the horizontal axis, and the height corresponds to the vertical axis.

In this case, the width is 16 units, so half of the width, or the semi-major axis, is 8 units. Thus, a = 8. The height is 8 units, so half of the height, or the semi-minor axis, is 4 units. Therefore, b = 4.

Now, we can use the standard equation for an ellipse centered at the origin:

(x² / a²) + (y² / b²) = 1

Plugging in the values of a and b, we get:

(x² / 8²) + (y² / 4²) = 1
(x² / 64) + (y² / 16) = 1

This is the equation of the ellipse centered at the origin with height 8 units and width 16 units.

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Answer:

A

Step-by-step explanation:

A does not have a clear outlier.

For the given expressions 1 1/2 is 20% of 7 1/2, and 7 1/2 is 500% of 1 1/2.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

In order to change a mixed fraction:

By denominator, divide the numerator.

Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.

Given that, 1 1/2 is what % of 7 1/2:

Converting into algebraic form we have:

1 1/2 = 7 1/2 (x/100)

Convert the mixed fractions to simple fractions:

3/2 = 15/2 (x/100)

3/2 = 15x/200

3/2 (200) = 15x

3(100) = 15x

x = 20

1 1/2 is 20% of 7 1/2.

Similarly, 7 1/2 is what % of 1 1/2.

Converting into algebraic form we have:

7 1/2 = 1 1/2 (x/100)

Convert the mixed fractions to simple fractions:

15/2 = 3/2 (x/100)

15/2 = 3x/200

15/2 (200) = 3x

15(100) = 3x

x = 500

Hence, 7 1/2 is 500% of 1 1/2.

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