Question 1 An assumption of non parametric tests is that the distribution must be normal O True O False Question 2 One characteristic of the chi-square tests is that they can be used when the data are measured on a nominal scale. True O False Question 3 Which of the following accurately describes the observed frequencies for a chi-square test? They are always the same value. They are always whole numbers. O They can contain both positive and negative values. They can contain fractions or decimal values. Question 4 The term expected frequencies refers to the frequencies computed from the null hypothesis found in the population being examined found in the sample data O that are hypothesized for the population being examined

The average rate of change of the function f(x) over the interval 5 ≤ x ≤ 8 is 81.

The average rate of change of a function f(x) over an interval [a, b] is given by:

average rate of change = (f(b) - f(a)) / (b - a)

In this case, we want to find the average rate of change of the function f(x) = 5x^2 + 7x + 9 over the interval 5 ≤ x ≤ 8.

So, we need to evaluate f(8) and f(5) and then plug the values into the formula:

f(8) = 5(8)² + 7(8) + 9 = 389

f(5) = 5(5)² + 7(5) + 9 = 144

Now we can plug these values into the formula for the average rate of change:

average rate of change = (f(8) - f(5)) / (8 - 5)

= (389 - 144) / 3

= 81

Therefore, the average rate of change of the function f(x) over the interval 5 ≤ x ≤ 8 is 81.

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Answer:

Hey there!

2/3 of 90 cm would be 60 cm.

Hope this helps :)

Answer

\( \boxed{60}\)

Step by step explanation

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term :

\( \mathsf{ \frac{2}{3} \times 90}\)

⇒\( \mathsf{ \frac{2 \times 90}{3 \times 1} }\)

⇒\( \mathsf{ \frac{180}{3} }\)

⇒\(60\)

Hope I helped!

Best regards!!

The most appropriate domain of the function /(x) - 2.5x models is (A) OS XS 55.The function / (x) - 2.5x models the distance Alex has to go to the store. To find the most appropriate domain of the function, we need to consider the given problem carefully. Alex takes 22 minutes to walk from his home to the store.

Therefore, it is evident that he cannot walk for more than 22 minutes to reach the store. It is also true that he cannot cover a distance of more than 22 minutes. Hence, the most appropriate domain of the function would be (A) OS XS 55. Therefore, the most appropriate domain of the function /(x) - 2.5x models is (A) OS XS 55.

This is because Alex cannot walk for more than 22 minutes to reach the store, and he cannot cover a distance of more than 22 minutes.

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Answer:

b. x less-than StartFraction 10 Over 3 End fraction

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

Given that, 5x-1<2x+11.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here, inequality 5x-1<2x+11 can be solved as follows

Add 1 on both the sides of inequality, we get

5x<2x+12

Subtract 2x on both the sides of inequality, we get

3x<12

Divide 3 on both the sides of inequality, we get

x<4

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

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Answer:

Step-by-step explanation:

For 12 if its a parrell line then the slope of the two lines have to be the same. Since the slope is 3/5 then the answer is A because the slope in A is  also 3/5

for 13 if its perpendicular, then the slope has to be the opposite sign and flipped. so for example if its a negative then the slope has to be a positive and if the slope is 1/2 you have to flip it which is 2/1 and 2/1 equals 2.

so in this one if the slope is 3/5 we have to flip it making it 5/3 and the opposite of a positive is a negative so it would be -5/3, so the answer is C.

Answer:

12. A

13. C

Step-by-step explanation:

12. to be parallel needs same slope

13. to be perpendicular flip slope and if positive change to negative

Answer: 22.1

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Step-by-step explanation:

hope this help you have a great day!

Answer:

first

area of rectangle = l*b

                         =     (3x-y+4) ( X+7)

                       = 3x²-xy + 4x+21x-7y+28

                       = 3x²-xy +25x-7y +28

Area of square = l²

                        = (x-2)²= x²- 4x +4

area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)

                                     =2x²-xy +29x-7y+24

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%

tell me if this is wrong please

Answer:

should be 1/4 inches away from each side

Step-by-step explanation:

all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.

since it needs to be centered, divide that by two for each side.

and 1/2 ÷ 2 = 1/4

so I got 1/4 inches on each side.

Answer:

x = 60

Step-by-step explanation:

Discussion

You have 3600 boxes and 60 trucks

The formula you want is

Total Boxes = Number of trucks * number of boxes per truck.

Givens

Total boxes = 3600

Total trucks = 60

Solution

3600 = 60 * x                    Divide by 60

3600/60 = 60x/60

x = 60

Answer:

The ratio of any two corresponding lengths in two similar geometric figures.

Step-by-step explanation:

You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.

If you divide the length of DE by the length of AB:

a^2/a =a.

You get a scale factor of “a”

Answer:

y=-52

Step-by-step explanation:

-5*9=-45

-5*9=-45 +7=

y=-52

Answer: -5/18 - (-1/4) = -1/36

Step by step:

To subtract,  find the LCD and then combine

So this is your answer,

-1/36

Answer:

180

--

40*9 / 2

Hope this helps!!!

To find the point Q that partitions the line segment LM in a given ratio, we can use the formula for the coordinates of the point that divides a line segment in a given ratio.

Let's say we want to divide the line segment LM in the ratio r:s. The coordinates of the point Q can be found using the following formula:

Q = ((s * Lx) + (r * Mx)) / (r + s), ((s * Ly) + (r * My)) / (r + s)

In this case, we want to find the point Q that partitions LM in a given ratio. Let's assume the ratio is r:s.

Given:

L(-2, 5) and M(2, -3)

Let's say the ratio r:s is given as 2:3.

Substituting the values into the formula:

Qx = ((3 * (-2)) + (2 * 2)) / (2 + 3) = (-6 + 4) / 5 = -2 / 5

Qy = ((3 * 5) + (2 * (-3))) / (2 + 3) = (15 - 6) / 5 = 9 / 5

Therefore, the point Q(6/5, -7/5) partitions the line segment LM in the ratio 2:3.

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Answer:

A

Step-by-step explanation:

proof ↓

Step-by-step explanation:

ab+a+b+b+ab

=2ab+a+2b

=a+2b+2ab

We can only add the same term numbers together.

hope it helps!

Answer:

x=33

Step-by-step explanation:

The angles would need to add to 180 to be supplementary

4x+ x+15 = 180

Combine like terms

5x+15 = 180

Subtract 15 from each side

5x+15-15 =180-15

5x = 165

Divide by 5

5x/5 =165/5

x=33

Answer:

Step-by-step explanation:

6

Answer: x=no solution

Step-by-step explanation:

TLDR: 88%

The probability of neither event happening is the complement of the probability of either event happening, which is 100 - 12 = 88.

Cheers,

qxxi

The measure of angle ZCOD is 27°.

Since A, O, and B are collinear, angles AOC and COB form a linear pair, which means their sum is 180°. Therefore:

x + 50° = 180°

Solving for x, we get:

x = 130°

Next, we can use the fact that angles AOC and BOA are vertical angles, which means they are congruent. Therefore:

x = 103°

Substituting x with 130°, we get:

130° = 103° + COD

Solving for COD, we get:

COD = 27°

Finally, since angles AOD and COB are alternate interior angles, they are congruent. Therefore:

77° = 50° + ZCOD

Solving for ZCOD, we get:

ZCOD = 27°

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--The complete question is, Given that points A, O, and B are collinear, find the measure of angle ZCOD, where:

Angle AOC is denoted by x and measures 90°

Angle BOA measures 103°

Angle AOD measures 77°

Angle COB measures 50°.

Please note that point O is located between points A and B.--

The correlation coefficient that indicates the weakest relationship is 0.34.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfectly negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfectly positive linear relationship.

Among the given options, the correlation coefficient of 0.34 indicates the weakest relationship, as it is closest to 0 and suggests a weak positive linear relationship. A correlation coefficient of 0.65 or -0.65 suggests a moderately strong positive or negative linear relationship, respectively. A correlation coefficient of 0.92 suggests a very strong positive linear relationship.

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Therefore, the solution to the given system of equations is: x = 11/3; y = 2/3.

To solve the system of linear equations:

Equation 1: 2x + y = 8

Equation 2: x - y = 3

We can solve this system using the method of substitution or elimination. Let's use the elimination method.

Adding Equation 1 and Equation 2 together, we get:

(2x + y) + (x - y) = 8 + 3

3x = 11

x = 11/3

Substituting the value of x back into Equation 2, we have:

(11/3) - y = 3

y = 3 - 11/3

y = 9/3 - 11/3

y = -2/3

y = 2/3

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We find that 28 child tickets were sold on Tuesday.

To determine the number of child tickets that were sold on Tuesday, let x be the number of child tickets that were sold. Then, the number of adult tickets sold was four times the number of child tickets sold. Thus, the number of adult tickets sold is 4x.

The cost of one child ticket is $6.50, and the cost of one adult ticket is $9.80. Therefore, the total sales can be represented by the equation:6.50x + 9.80(4x) = 1279.60

Simplifying this equation gives: 6.50x + 39.20x = 1279.60

Combining like terms, the equation can be further simplified to:

45.70x = 1279.60 Solving for x gives: x = 28

Therefore, 28 child tickets were sold on Tuesday

In conclusion, if we assume that the number of child tickets sold is x, then we can calculate the number of adult tickets sold to be 4x. By multiplying the number of child tickets sold by the price of one child ticket and the number of adult tickets sold by the price of one adult ticket and adding the two values together, we obtain the total sales equation. Using this equation, we solve for x by simplifying and combining like terms.

Therefore, we find that 28 child tickets were sold on Tuesday.

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The industry Lerner index is approximately 0.8113. This indicates that the industry has a moderate level of market power in setting prices for its goods.

The industry Lerner index measures the degree of market power that a firm has in setting prices for its goods. It is calculated as the difference between the price a firm charges and the marginal cost of producing an additional unit of output, divided by the price. The formula for the Lerner index is:
Lerner Index = (P - MC) / P

To find the industry Lerner index, we need to know the markup factor used to price goods. In this case, the industry suggests using a markup factor of 5.3.
Let's assume the marginal cost (MC) of producing a good is $10. Using the markup factor, we can calculate the price (P) as:
P = MC * Markup factor
P = $10 * 5.3
P = $53
Substituting these values into the Lerner index formula, we have:
Lerner Index = ($53 - $10) / $53
Lerner Index = $43 / $53
Lerner Index ≈ 0.8113

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The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

The potential energy of the roller coaster at the top of the hill can be calculated as:

PE = mgh

where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:

PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)

At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:

\(KE = (1/2)mv^2\)

where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:

\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)

Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

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Answer: D) $221.93

Step-by-step explanation: that's the answer on edge.

The solution is, the minimum monthly payment is $221.93. Among the choices, the answer is D.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Solving for the future values of the credit card balances:

1260(1 + 0.12/12)^24

= 1599.8656571502122308900(1 + 0.18/12)^24

= 1286.55253073612259711290(1 + 0.09/12)^24

= 1543.37345291648033351200(1 + 0.16/12)^24

= 1649.0625893406018547

Adding the future balances to obtain total bill:

1599.8656571502122308 + 1286.5525307361225971 + 1543.3734529164803335 + 1649.0625893406018547

= 6078.85

Solving for the annuity A (monthly payments for each account):

1599.87 = A [(((1 + 0.12/12)^24) - 1) / (0.12/12)] A = 59.31

1286.55 = A [(((1 + 0.18/12)^24) - 1) / (0.18/12)]A = 44.93

1543.37 = A [(((1 + 0.09/12)^24) - 1) / (0.09/12)]A = 58.93

1649.06 = A [(((1 + 0.16/12)^24) - 1) / (0.16/12)]A = 58.76

Adding the annuities together to obtain the minimum monthly payment:59.31 + 44.93 + 58.93 + 58.76 = 221.93

Therefore, the minimum monthly payment is $221.93. Among the choices, the answer is D.

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