The number of degrees of freedom for the appropriate chi-square distribution in a test of independence is a. k – 1. b. A chi-square distribution is not used. c. number of rows minus 1 times number of columns minus 1. d. n – 1.

Answer:

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Step-by-step explanation:

We are given that The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike.

f(t)= Distance covered in t hours

t = time in hours

Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0

So, Distance covered in 0 hours is 0 km

So, When Jody is at her house she has biked for 0 hours

Jody reaches the park f(2) = 30.

So, Distance traveled in 2 hours is 30 km

So, It takes 2 hours to reach park

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Answer:

1. Correct

2. Incorrect

3. Correct

Step-by-step explanation:

the other dude said it lol

The calculated measure of m∠PNM is 87 degrees

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

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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The size of angle BAC in the given circle is 50°

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Since, no figure is given, we will draw a circle according the given information, [attached in the solution]

So, we get a circle with center O, having chords, BC, which is extended to F, DC and AB,

We have, Angle CBD = 28° and angle FCD = 78°

Therefore,

∠ DCB = 180° - ∠ DCF [Linear pair]

∠ DCB = 180° - 78°

∠ DCB = 102°

In Δ DCB,

∠ DCB + ∠ BCD + ∠ BDC = 180°

∠ BDC = 180° - (102°+28°)

∠ BDC = 50°

Since, the angles made by the same chord are equal in measure,

Therefore,

∠ BDC = ∠ BAC

Therefore,

∠ BAC = 50°

Hence, the size of angle BAC in the given circle is 50°

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Answer:

m/_a=4(15)

=60

Step-by-step explanation:

180-115=65

triangle=180

180=65+4y+3y+10

7y=105

y=15

Brainliest plsz

The length of the missing leg for the triangles are: x = 7.01, f = 5.4, and d = 15.1 using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

By Pythagoras rule we can evaluate for b as follows:

x = √(7.5² - 2.5²)

x = √50

x = x = 7.0711

f = √[(√78)² - 7²]

f = √(78 - 49)

f = √29

f = 5.3852

d = 2 × √(11² × 8²)

d = 2 × √53

d = 15.0996

Therefore, the length of the missing leg for the triangles are: x = 7.01, f = 5.4, and d = 15.1 using the Pythagoras rule.

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.

Given that the total cost for parking and four tickets to a baseball game is $175.00.

$25 is the parking fee.

4 tickets cost $175 - $25.

Suppose that each ticket costs t.

t =($175 - $25)/4

Each ticket costs $37.5.

The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

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\(\huge{ \mathcal{ \underline{ Answer }}}࿐\)

Cos 210° is equal to \(-Cos(30°)\)

\( \#TeeNForeveR\)

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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\(x7 - 2 \: or \: x \leqslant - 3\)

The value of x when h = 4 is 4.

The given equation is  :   4(x − 3) = h.  We need to find the value of x in terms of h and the value of x when h = 4.So, we will solve this equation by following the steps given below:

Step 1: Distribute 4 by x and 4 by -3. It gives us:4x - 12 = h

Step 2: Add 12 to both sides of the equation. We get:4x - 12 + 12 = h + 124x = h + 12

Step 3: Divide both sides of the equation by 4. We get:x = (h + 12) / 4

Therefore, the value of x in terms of h is x = (h + 12) / 4.

Now, we need to find the value of x when h = 4. We will put h = 4 in the above equation and get the value of x.x = (4 + 12) / 4 = 16 / 4 = 4.

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Answer:

9,113 Minutes

Step-by-step explanation:

Add 16, 93, 82, and 76 together to get 267.

Then multiply 267 by 34.13 to get 9,112.71

Then we would round that to 9,113 Minutes.

Answer: The answer is A.

Step-by-step explanation: The surface area of a triangular prism is given by A = b h + ( b 1 + b 2 + b 3 ) l units 2 where is the base of a triangular face, is the height of a triangular face, , , and are the sides of the triangular base, and is the length of the prism.

Answer:

x = -1 ; y=0

Step-by-step explanation:

We plug in the y, from the second equation, in the first one. By doing so we obtain:

-4x +3(x-1) = -2

-4x + 3x - 3 =-2

-x = 1

x= -1

Now we take this value and plug it in the second equation:

y = 1-1 = 0

Solution:

(-1,0)

Answer:

c

Step-by-step explanation:

GIVEN:

We are given the following system of equations;

Required;

To determine whether or not the equations has a solution or no solution.

Step-by-step solution;

We can solve this system of equations by the elimination method. This is because none of the variables has 1 as its coefficient.

First step, we multiply equation (1) by -6 and then multiply equation (2) by 3 (that is, the coefficients of x in both equations).

Next step, we subtract equation (4) from equatio (3);

As we have seen from the calculations above, the result shows 0 equals 90 on both sides of the equality sign and that is NOT possible.

Therefore, for the given system of equations, there is NO SOLUTION

ANSWER:

Option B, that is 0 solutions is the correct answer.

Further Explanation;

For the graphs shown above, the color codes are as follows;

This simply tells us that for both equations, there is no point at which they can intersect and therefore,

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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Answer:

The hieght should be 3 cm

Step-by-step explanation:

We can put it into an equation form:

6⋅2⋅x=36

Then solve from there!

Hope this helps!!

Answer:

Yo I was going to answer this question but I assume there is a mistake I think your teacher meant the length of the box is 6cm if not the answer is 6 cm high if so and there's a mistake then the answer is 3 cm high.

Step-by-step explanation:

Answer:

7100 is your answer for rounding it in the TENS place

If your rounding to the TENTHS place you are going to get 7095.4 as your answer.

Answer:

7100 in the tens place.

Step-by-step explanation:

The equation the given statement is y=ax.

What is equation?

  The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. Equations come in two varieties: identities and conditional . All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Here the weight of the steel beam is proportional to length.

let y be weight and x be length of it. Then

=> y ∝ x

=> y=ax

where a is the constant

we can find it if we have two sets of values of y and x.

Therefore the equation the given is y=ax.

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Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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Answer:

Multiply

1/3

Step-by-step explanation:

You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Answer:

50

Step-by-step explanation:

First we Calculate what \(7^{2}\) is equvalet to:

7 * 7 to solve and get 49

Our equation then becomes:

49 - 4 + 5

Next, subtract left to right:

49 - 4 = 45

Now we get:

45 + 5 = 50 (our answer)

Answer:

375 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{d}{125}\) = \(\frac{30}{10}\) ( cross- multiply )

10d = 3750 ( divide both sides by 10 )

d = 375 ft

Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

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If probability distribution for a stock probability outcome is 5, 6 ,5 ,18, 1.

a) The expected return is 1.56

b) The standard deviation is 5.1715  

c) The coefficient of variation is 331.25%.

To calculate the expected return, we multiply each possible outcome by its probability and then sum the results. For example, the expected return from a 5% return is calculated as 0.5 x 5%, or 0.025. We do this for each possible outcome and then sum the results to get the expected return for the investment.

In this case, the expected return is 1.56, which means that over the long run, we can expect to earn an average return of 1.56% on this investment.

The standard deviation is a measure of how much the possible outcomes of an investment vary from the expected return. A higher standard deviation means that the possible returns are more spread out, while a lower standard deviation means that the possible returns are more tightly clustered around the expected return.

To calculate the standard deviation, we first need to calculate the variance, which is the average of the squared deviations from the expected return.

To calculate the variance, we first calculate the deviation of each possible outcome from the expected return. For example, the deviation of a 5% return from the expected return of 1.56% is 5% - 1.56% = 3.44%.

We then square each deviation and multiply it by the probability of that outcome. We do this for each possible outcome, and then sum the results to get the variance. In this case, the variance is 26.7424, which means that the possible returns are quite spread out.

The coefficient of variation is a measure of the risk per unit of return. It is calculated by dividing the standard deviation by the expected return and then multiplying by 100% to get a percentage. In this case, the coefficient of variation is 331.25%, which means that the investment is quite risky relative to its expected return.

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Answer: 13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

The 29.2 ounce bottle is better

Step-by-step explanation:

13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

find the ratios

13.5/2.19 = $6.16 per unit

29.2/5.37 = $5.44 per unit

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500