What is the mean? 20,22,25,28,29,30,32,33,34 ( Show work )

The correct answer is d) No, because 1.12 < 3.84 for chi-square.

To determine whether a chi-square test based on a 2 x 2 table using a level of 0.05 is statistically significant, we need to compare the chi-square statistic (in this case, 1.12) to the critical value of chi-square with 1 degree of freedom and a significance level of 0.05.

For a 2 x 2 table, the degrees of freedom is (number of rows - 1) multiplied by (number of columns - 1), which equals (2-1) x (2-1) = 1.

Looking at a chi-square distribution table with 1 degree of freedom and a significance level of 0.05, we find the critical value of chi-square to be 3.84.

Since the chi-square statistic (1.12) is less than the critical value (3.84), we fail to reject the null hypothesis and conclude that the results are not statistically significant.

Therefore, correct answer is d) No, because 1.12 < 3.84.

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a. 2

b.4

c.8

Hope it helps you...

Answer:

Step-by-step explanation:

\(8^{\frac{1}{3} } \\(2)^{3*\frac{1}{3} }\\\\(2)^\frac{3}{3} \\2^1\\2\)

\(8^{\frac{2}{3} } \\(2)^{3*\frac{2}{3} } \\(2)^{\frac{6}{3} } \\2^{2} \\4\)

\(16^{\frac{3}{4} } \\(2)^{4*\frac{3}{4} } \\(2)^{\frac{12}{4} } \\2^{3} \\8\)

The value of x is given as 9.8

We have to solve for X using the Pythagorean theorem

The Pythagorean theorem is a mathematical formula that relates to the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In other words:

c² = a² + b²

Where:

c is the length of the hypotenuse

a and b are the lengths of the other two sides

14² = x² + 10²

196 = x² + 100

196 - 100 = x²

x = √96

x = 9.8

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Answer: Step 4

Step-by-step explanation:

There is no equation to substitute into, the reason should be 'Pythagorean theorem'.

Answer:

Yes, they are congruent by SAS.

Step-by-step explanation:

Answer:

Yeah your answer would be A. Yes, they are congruent by SAS!

hope this helps :D

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

x-√2x-5=5

-√2x-5=5-x

√2x-5=-5+x

2x-5=x²-10x+25

2x-5-x²+10x-25=0

12x-20-x²=0

-x²+12x-20=0

x²-12x+20=0

x=10

Note: there is a another answer x=2 but the equality will be false if x=2 so the answer is 10

The equation used is 50 = (2w + 5) × w which can be used to find its width, w.

According to the question we are Given,

Length of rectangle = 5 inches more than its width

Area of rectangle = 50sq. inches

Let width of rectangle = w

So, According to the question,

length = 2w + 5

Area of rectangle = Length × Breadth

50 = (2w + 5) × w

So, our required equation is 50 = (2w + 5) × w

The quantity of space occupied by a flat surface with a specific form is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that may fit within a rectangle called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular forms.

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Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

I could be wrong but the coffee is 200 and the hot choclet is 266.666666667

Step-by-step explanation:

I used math and a calculator.

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

38.5 mm^2

Have a nice day!

Step-by-step explanation:

Area = πr^2

Area = π(3.5^2)

Area = π(12.25)

Area = 38.48451...

Area = 38.5

a) To determine whether the set S = {(1, −1), (2, 1)} spans R2, we need to check whether any vector in R2 can be written as a linear combination of the vectors in S.

Let (x, y) be an arbitrary vector in R2. We need to find values of scalars c1 and c2 such that c1(1, −1) + c2(2, 1) = (x, y).

This leads to the system of equations:

c1 + 2c2 = x

−c1 + c2 = y

Solving this system of equations, we get

c1 = (x − 3y)/5

c2 = (2y + x)/5

Therefore, any vector in R2 can be written as a linear combination of the vectors in S. Hence, S spans R2.

b) To determine whether the set S = {(1, 1)} spans R2, we need to check whether any vector in R2 can be written as a linear combination of the vector in S. Let (x, y) be an arbitrary vector in R2. We need to find values of scalars c1 such that

c1(1, 1) = (x, y).

This leads to the system of equations:

c1 = x

c1 = y

Clearly, this system of equations has no solution unless x = y. Hence, S does not span R2.

Geometrically, the set S = {(1, 1)} represents a line passing through the origin in R2. Hence, it spans a one-dimensional subspace of R2, which is the line passing through the origin.

c) To determine whether the set S = {(0, 2), (1, 4)} spans R2, we need to check whether any vector in R2 can be written as a linear combination of the vectors in S. Let (x, y) be an arbitrary vector in R2. We need to find values of scalars c1 and c2 such that

c1(0, 2) + c2(1, 4) = (x, y).

This leads to the system of equations:

c2 = x

2c1 + 4c2 = y

Solving this system of equations, we get

c1 = (y − 2x)/4

c2 = x

Therefore, any vector in R2 can be written as a linear combination of the vectors in S. Hence, S spans R2.

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The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.

In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.

The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.

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Answer:

55 degrees

Step-by-step explanation:

sum of all angles of a triangle equal 180

to find x we add them all and set them equal to 180

(57+x)+(72+x)+55=180

129+2x+55=180

184+2x=180

-184.    -184

2x= -4

/2.  /2

x=-2

now to find angle A

57+(-2)

55

hopes this helps

Answer:

infinity stones are from the mcu franchise (marvel universe) and they are gems that represent different aspects of existence. There are 6 of them and they represent the Mind, Power, Reality, Soul, Space, and Time. These gems posses a lot of power (a lot is an understatement) and in the wrong hands, they are deadly to the existence of humans. I won't go into the details of infinity war/endgame since that is technically spoiling.

Step-by-step explanation:

Volume is the amount of space in an object. The fraction occupied by the cube is: \(\frac{r\sqrt2}{\pi(r + 2)}\)

First, we calculate the volume of the cube.

\(Volume = Length^3\)

From the figure, we have:

\(Length = r\sqrt 2\)

So:

\(V_1 = (r\sqrt2)^3\)

\(V_1 = (2\sqrt2)r^3\)

Next, the volume of the cylinder

\(Volume=\pi r^2h\)

So, we have:

\(V_2 = \pi r^2 (2r + 4)\)

The fraction (n) occupied by the cube is:

\(n = \frac{V_1}{V_2}\)

So, we have:

\(n = \frac{(2\sqrt2)r^3}{\pi r^2(2r + 4)}\)

Factor out 2 in the denominator

\(n = \frac{(2\sqrt2)r^3}{2\pi r^2(r + 2)}\)

Cancel out common terms

\(n = \frac{r\sqrt2}{\pi(r + 2)}\)

Hence, the fraction occupied by the cube is: \(\frac{r\sqrt2}{\pi(r + 2)}\)

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Answer:

x= (-3 +- sqrt3)/2

Step-by-step explanation:

Exact Form:

x=(-3± √ 3)/2

Decimal Form:

x = − 0.63397459 … , − 2.36602540 …

The correct answer is A, as this is an example of benchmarking.

Benchmarking describes a test procedure to compare the performance of devices, systems or organizations. It is a way for organizations to learn from each other, be accountable and facilitate supervision.

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The subset of real number that can be used to classify the number 5.33 is irrational number.

We know that 5.33 = 5 + 0.33 contains a decimal part which is 0.33 and 5 which is a whole number part.

Since 0.33 is the irrational or decimal part which makes 5 + 0.33 = 5.33 irrational since a rational number + an irrational number = irrational number.

Since an irrational number is a number which cannot be expressed as a ratio of two integers.

So, 5.33 is an irrational number.

So, the subset of real number that can be used to classify the number 5.33 is irrational number.

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The value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

To answer the question, we will conduct a hypothesis test to at the 0.1 level to ascertain whether or not the manufacturer's MPG rating is incorrect.

We start by stating the null and alternative hypotheses:

\($H_0$\): The mean miles/gallon for the vans is 53.8

\($H_A$\): The mean miles/gallon for the vans is not 53.8

We choose a significance level $\alpha = 0.1$ and calculate the following test statistic:

\($z = \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{53.4-53.8}{1/\sqrt{16}} = -2.5$\)

With a standard normal table, we look for the area to the left of -2.5, which is 0.0062. Because this value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

Therefore, the value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

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The Probability of pulling a white marble from the bag is 2/5.

To find the probability of selecting a white marble from the bag, we need to determine the number of favorable outcomes (white marbles) and the total number of possible outcomes (all marbles).

The bag contains a total of 20 marbles, of which 8 are white. Therefore, the number of favorable outcomes is 8 (white marbles).

The total number of possible outcomes is the sum of all marbles in the bag, which is 20.

The probability of selecting a white marble can be calculated as:

Probability (White Marble) = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability (White Marble) = 8 / 2

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

Probability (White Marble) = 2 / 5

Therefore, the probability of selecting a white marble from the bag is 2/5.

In conclusion, the probability of pulling a white marble from the bag is 2/5.

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Answer:

x = 12

y = -2

Step-by-step explanation:

In a parallelogram, the sides opposite each other are equal.

Hence: PQ = SR and PS = QR

2x + 12 = 4x - 12

Rearrange to make x's on one side and the numbers on the other

4x - 2x = 12 + 12

2x = 24

x = 12

____________

y + 25 = 6y + 35

Rearrange to make y's on one side and the numbers on the other

6y - y = 25 - 35

5y = -10

y = -2

There are 64 boards in the stack.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

A stack of boards is 24 inches high.

Each board is 3/8 of an inch thick.

As, When dividing fraction, multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is an upside down fraction)

Then, number of boards

= 24 x 8/3

= 8 x 8

= 64

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Answer:

Step-by-step explanation:

hello :

the arc length formula is : s = 2πr(θ/360°)

given : area :  s = 10 ,     radius  :   r = 10

2(3.14)(10)(θ/360°)=10 solve for : θ

2(3.14)(θ/360°)=1

θ = 360°/6.28

θ = 57°.32

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer: 3rd down :D

Step-by-step explanation:

This is because the problem is asking for Q to be in the middle of B and N and the only answer that applys to this is 3 :D.

Real numbers include the positive and negative integers and fractions (or rational numbers) and also the irrational numbers.

In the given graph of functions, all of the functions have a domain (x values) of all real numbers.

Therefore, the answer is letter B.

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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