In a Chi-Square goodness of fit test, we need the value of the Chi-Square test statistics and the level of significance α to be able to determine the p-value of the test. true or false

Answer:

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Step-by-step explanation:

\(3^{-1} = \frac{1}{3}\)

\(\frac{1}{3} > \frac{1}{4}\)

The equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.

In the given equation we have to find the equation of circle with center and radius.

The given center is (-3, -5).

Radius = 4

The standard equation of a circle with center and radius.

(x−a)^2+(y−b)^2=r^2

where a and b represent a point of center and r represent a radius.

So a=-3, b=-5 and r=4.

Putting the value in the standard equation.

(x−(-3))^2+(y−(-5))^2=(4)^2

Simplifying

(x+3)^2+(y+5)^2=16

Hence, the equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.

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The probability of having two years with high sales in a row for Apple Inc. is 0.16 or 16%.

To find the probability of two independent events happening in succession, you multiply their individual probabilities together. In this case, the probability of high sales in a given year is 40%, or 0.4.

Step 1: Convert percentages to decimal form.
High sales: 40% = 0.4

Step 2: Multiply the probabilities of high sales for two consecutive years.
Probability of two high sales years in a row = 0.4 * 0.4

Step 3: Calculate the result.
Probability = 0.4 * 0.4 = 0.16

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The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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Yes, we will need a calculator to solve this problem.

First, we can use the Pythagorean Theorem to find the length of the shorter diagonal.

Let's label the shorter diagonal as "d":

d^2 = (9 inches)^2 + (7 inches)^2

d^2 = 81 + 49

d^2 = 130

d ≈ 11.4 inches

Now, we can use the formula for the diagonals of a parallelogram:

diagonal1^2 + diagonal2^2 = 2(side1^2 + side2^2)

We know that diagonal1 is 14 inches, and side1 and side2 are 7 inches and 9 inches, respectively. We can solve for diagonal2:

14^2 + diagonal2^2 = 2(7^2 + 9^2)

196 + diagonal2^2 = 2(49 + 81)

196 + diagonal2^2 = 260

diagonal2^2 = 64

diagonal2 ≈ 8 inches

Therefore, the length of the other diagonal is approximately 8 inches.
Hello! I'd be happy to help you with this question. We are given a parallelogram with a 7-inch side, a 9-inch side, and a 14-inch longer diagonal. We need to find the length of the other diagonal. We can use the Law of Cosines to solve this problem.

Step 1: Find the angle between the known sides (7-inch and 9-inch) using the known diagonal (14-inch).
Let the angle between the 7-inch and 9-inch sides be θ. Using the Law of Cosines:
14² = 7² + 9² - 2(7)(9)cos(θ)
196 = 49 + 81 - 126cos(θ)
66 = -126cos(θ)
cos(θ) = -66/126

Step 2: Find the angle between the 9-inch side and the unknown diagonal.
Since opposite angles in a parallelogram are equal, the angle between the 9-inch side and the unknown diagonal is also θ.

Step 3: Use the Law of Cosines again to find the length of the other diagonal (let's call it d).
d² = 9² + 14² - 2(9)(14)cos(θ)
d² = 81 + 196 - 252(-66/126)
d² = 277 + 168
d² = 445

Step 4: Take the square root of the result to find the length of the other diagonal.
d = √445 ≈ 21.1 inches

So, the length of the other diagonal is approximately 21.1 inches.

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Answer:

20 gallons.

Step-by-step explanation:

The given points (2, 44) and (5, 80) represent two points on the linear function that relates the total amount of water in the pool to the time since Jabari turns on the hose. We can use these points to find the equation of the function in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the two given points, we get:

m = (80 - 44) / (5 - 2)

m = 12

To find the y-intercept, we can use the point-slope form of the equation and substitute one of the given points, say (2, 44), for x and y, and the slope we just found for m:

y - y1 = m(x - x1)

y - 44 = 12(x - 2)

y - 44 = 12x - 24

y = 12x + 20

So the equation of the function that relates the total amount of water in the pool to the time since Jabari turns on the hose is:

y = 12x + 20

When Jabari turns on the hose, the time since he turns on the hose is 0 minutes. Substituting a = 0 into the equation we just found, we get:

y = 12(0) + 20

y = 20

Therefore, when Jabari turns on the hose, there is already 20 gallons of water in the pool.

Answer:

C

Step-by-step explanation:

This is a formula - memorize it.

Answer:

you can solve like this i think it is correct but i am not sure

Answer:

Angle 1: 130

Angle 3: 130

Angle 5: 50

Angle 6:  130

Step-by-step explanation:

If angle 2 is 50, that means 4,5, and 7 are 50 as well

Also, if we know angle 2 is 50, we know 1,3,8, and 6 are 130 since a line is always 180 (so subtract 50)

Let me know if you need more help!!

Answer:

Exact Form:

7 /4

Decimal Form:

1.75

Mixed Number Form:

1  3 /4

Step-by-step explanation:

:)

1. 3x + 12x - 3y

15x - 3y

2. 14x + 3(y+5) - 2y

14x + 3y + 15 - 2y

14x y + 15

3. 2x² + x + 3x - 5

2x² + 4x - 5

4. 4y² + 7 - 3y² + 25

y² + 32

5. 2x(3+x) - 6x

6x + 2x² - 6x

2x²

6. y + 13 - 9

y + 4

7. 8(x-4)

8x - 32

8. 4y² + 7y + 8y²

12y² + 7y

9. 26 + x(3+4x)

26 + 3x + 4x²

4x² + 3x + 26

10. 10y + 8x + 98 - 70 + 16y

26y + 8x + 28

The angle of depression from the top of the tower to a cell phone user who is 5 horizontal miles away and 200 feet above sea level will be 87.36 degrees.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates.

Here,

The cell phone tower's peak will be at a height of 1300 + 110 = 1410 feet above sea level.

Assuming that the user of a cell phone is 200 feet above sea level, the distance between them is 1410 feet- 200 feet, or 1210 feet.

The distance between them horizontally is 5 miles, or 5 * 5280, or 26400 feet.

The opposite cathetus is 26400 feet away and the neighboring cathetus is 1210 feet away.

the angle is 87.376 degrees, or tan(angle) = 26400 / 1210 = 21.82

A cell phone user 5 horizontal miles away and 200 feet above sea level will be depressed at an angle of 87.36 degrees from the top of the tower.

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Using translation concepts, the equation of F(x) is:

A. \(F(x) = \frac{1}{3}x^4 - 2\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

\(G(x) = x^4\)

For function F(x), we have that:

Then the equation is:

A. \(F(x) = \frac{1}{3}x^4 - 2\)

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The x-values at which f'(x) is zero are x = 3 and x = -3. The function f(x) is increasing on the intervals (negative infinity, -3) U (3, positive infinity) and decreasing on the interval (-3, 3).

To determine the x-values at which f'(x) is zero or undefined, we need to find the critical points and the points where f'(x) is not defined.

First, let's find f'(x) by taking the derivative of f(x):

f'(x) = 3x^2 - 27

To find the critical points, we set f'(x) equal to zero and solve for x:

3x^2 - 27 = 0

x^2 - 9 = 0

(x - 3)(x + 3) = 0

From this equation, we can see that the critical points are x = 3 and x = -3.

Next, let's consider the points where f'(x) is not defined. In this case, since f(x) is a polynomial function, f'(x) is defined for all real numbers. Therefore, there are no x-values where f'(x) is undefined.

Now let's determine the intervals on which f(x) is increasing and decreasing. To do this, we need to analyze the behavior of f'(x) and the concavity of f(x).

Since f'(x) = 3x^2 - 27 is a quadratic function with a positive leading coefficient (3), it opens upward and is positive for x > 0 and negative for x < 0. This means that f(x) is increasing on the intervals (negative infinity, -3) U (3, positive infinity) and decreasing on the interval (-3, 3).

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Answer:

x=1.33

Step-by-step explanation:

3x+2=6

3x=4

x=\(\frac{4}{3}\)

x=1.33

to check your answer

3 x 1.33 + 2=6

3.99+2=6

5.99=6

6=6

Answer:

If 5 tennis balls are put into 4 boxes, with 5 tennis balls > 4 boxes, then at least one box will contain more than 1 tennis ball.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well one of the first things you could do is put all 5 into one box. That means that that box contains at least 2 tennis balls.

Next being given to experiment, you put 2 balls in 1 box and 3 in another and the condition of 1 box containing at least 2 balls is still met.

So you do the best thing you can. You take 4 balls and put one in each box. So far you have not met the condition of the problem.

But you have one ball in your hand. Wherever you put the tennis ball, it must be in one of the boxes. That will meet the condition of the problem. One box has to have 2 balls in it.

Simplifying the calculation: Therefore, the answer is approximately 0.2745.

To calculate P(A|D), we can use Bayes' theorem:

P(A|D) = (P(D|A) * P(A)) / P(D)

We are given:

P(A) = 0.19

P(D|A) = 0.105

To calculate P(D), we can use the law of total probability:

P(D) = P(D|A) * P(A) + P(D|B) * P(B) + P(D|C) * P(C)

We are given:

P(D|B) = 0.035

P(B) = 0.43

P(D|C) = 0.099

P(C) = 0.38

Now we can substitute these values into the equation:

P(D) = (0.105 * 0.19) + (0.035 * 0.43) + (0.099 * 0.38)

Simplifying the calculation:

P(D) = 0.01995 + 0.01505 + 0.03762

P(D) = 0.07262

Now we can calculate P(A|D):

P(A|D) = (0.105 * 0.19) / 0.07262

Simplifying the calculation:

P(A|D) = 0.01995 / 0.07262

P(A|D) ≈ 0.2745

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To solve the initial-value problem y' - 5y = e^(-5t), y(0) = 3 using the Laplace transform, we can take the Laplace transform of both sides of the differential equation, solve for the Laplace transform of y(t), and then apply the inverse Laplace transform to obtain the solution in the time domain.

The Laplace transform is a mathematical tool used to solve differential equations by transforming them from the time domain to the s-domain, where s is the complex variable. By applying the Laplace transform to both sides of the given differential equation, we can simplify the equation and solve for the Laplace transform of y(t), denoted as Y(s).

Taking the Laplace transform of the differential equation yields sY(s) - y(0) - 5Y(s) = 1/(s+5). We substitute y(0) = 3 into the equation, resulting in the equation (s-3)Y(s) - 15Y(s) = 1/(s+5). Rearranging the equation, we obtain Y(s) = 1/(s+5)/(s-3-15).

To find the inverse Laplace transform of Y(s), we decompose the right side of the equation into partial fractions. After decomposing, we can use known Laplace transform pairs to take the inverse Laplace transform, which will give us the solution y(t) in the time domain.

By solving the partial fraction decomposition and applying the inverse Laplace transform, we can obtain the solution to the initial-value problem y(t) = (1/20)e^(-5t) + (7/20)e^(3t), where y(0) = 3.

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Answer:

x=5

Step-by-step explanation:

since it’s isosceles trapezoid, diagonals are equal.

x+10=2x+5

x=5

The Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

Exponential smoothing is a forecasting technique that takes into account both the historical demand and the trend of the data. It is calculated using the formula:

Forecast = α * (Demand / Seasonal Index) + (1 - α) * Previous Forecast

Initial forecast (Previous Forecast) = 417

α (Smoothing parameter) = 0.35

Demand for Year 4, Q1 = 307

Seasonal Index for Q1 = 0.762

Using the formula, we can calculate the Year 4, Q1 forecast:

Forecast = 0.35 * (307 / 0.762) + (1 - 0.35) * 417

        = 335.88

Therefore, the Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

The forecasted demand for Year 4, Q1 using exponential smoothing is 335.88.

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The a survey of 1,150 people for choose their favorite laundry detergent from brands. If percent value of people who choose brand A is 3, then the number of people who chose A as their favorite brand are 30 , 35 , 40.

We have a survey results of total 1150 people. That is sample size = 1150

The survey is based on their favorite laundry detergent from brands A, B, and C. The percent of people who chose A as their favorite brand = x %

If x = 3, we have to determine the number of people who chose A as their favorite brand. So, we use percentage formula, for each option and see for which number of people percent is equals to 3. Now, percent formula is \( \frac{value}{total \: value}×100%.\)

a) \( (\frac{20}{1150 }) 100 \% = 1.73 \%\) ≈ 2%

b) \( (\frac{25}{1150 }) 100 \% = 2.17 \%\) ≈ 2%

c) \( (\frac{30}{1150 }) 100 \% = 2.60\%\) ≈ 3 %

d) \( (\frac{35}{1150 }) 100 \% = 3.04\%\)≈ 3 %

e)\( (\frac{40}{1150 }) 100\% = 3.48 \%\) ≈ 3%

f)\( (\frac{45}{1150 }) 100 \% = 3.91 \%\)≈ 4%

g)\( (\frac{50}{1150 }) 100 \% =4.35 \%\) ≈ 4%

Hence, all such numbers are 30 , 35 , 40.

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Complete question:

A survey asked 1,150 people to choose their favorite laundry detergent from brands A, B, and C. Of the people surveyed, x percent chose A as their favorite brand. If x is rounded to the nearest integer, the result is 3. Which of the following could be the number of people who chose A as their favorite brand? Indicate all such numbers.

a)20

b) 25

c)30

d) 35

e) 40

f) 45

g) 50

If x percent of people chose A as their favorite brand, then the number of people who chose A can be found by multiplying x percent by the total number of people surveyed:

number of people who chose A = (x/100) * 1150

Since x is rounded to the nearest integer and equals 3, we have:

number of people who chose A = (3/100) * 1150 = 34.5, which is closest to 35.

If x percent chose brand A as their favorite and x is rounded to the nearest integer, it means that x lies between x-0.5 and x+0.5. In other words, x-0.5 <= actual percentage of people who chose A <= x+0.5.

From the given information, we know that x rounded to the nearest integer is 3. Therefore, we have:

2.5 <= x <= 3.5

Since x represents the percentage of people who chose brand A, we can find the number of people who chose A as their favorite by multiplying x with the total number of people surveyed (1150). Therefore, the number of people who chose brand A lies between:

2.5% of 1150 <= number of people who chose A <= 3.5% of 1150

28.75 <= number of people who chose A <= 40.25

Since the number of people who chose A must be a whole number, the only possible value for the number of people who chose is 29.

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Answer:

A= -8

Step-by-step explanation:

Subtract 5a from both sides.

Combine 4a and −5a to get −a.

Add 7 to both sides.

Finally, Multiply both sides by −1.

Pls mark brainliest.

Answer:

a = -8

Step-by-step explanation:

4a - 7 = 5a + 1

subtract 1 from both sides of the equation

4a - 7 - 1 = 5a + 1 - 1

4a - 7 - 1 = 5a

4a - 8 = 5a

subtract 4a from both sides of the equation

4a - 4a - 8 = 5a - 4a

-8 = 5a - 4a

-8 = 1a

-8 = a

Answer: D

Explaination: Because they are equal but different at the same time

Answer:

7

Step-by-step explanation:

We look at where the two circles for Russian and Chinese overlap

The numbers in that area are 2 and 5

2+5 = 7

Answer:

Your answer is correct.

Step-by-step explanation:

5 speak Chinese and Russian, but 2 speak all languages

So add 5+2 to get 7.

So your answer is correct.

Answer:

13.4%

Step-by-step explanation:

(52-45)/52

7/52

13.4%

Answer: 13%

Step-by-step explanation: 52 - 45 = 7 | 7/52 = .13 | 13%

Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation:

A family qualifies for bankruptcy if the difference between their monthly income and expenditure, multiplied by 60 is greater than $10,000. So, The Osbornes qualify for chapter 7 bankruptcy.

We have the following parameters:

\(Annual\ Income = \$66000\)

\(Monthly\ Expenses = \$5300\)

To calculate the monthly income, we simply divide the annual income by 12 (12 is the number of months in a year)

So, we have:

\(Monthly\ Income = \$66000 \div 12\)

\(Monthly\ Income = \$5500\)

The difference between the monthly income and the expenses is:

\(Difference = Monthly\ Income - Monthly\ Expenses\)

\(Difference = \$5500 - \$5300\)

\(Difference = \$200\)

The above result multiplied by 60 is:

\(Product = Difference \times 60\)

\(Product = \$200 \times 60\)

\(Product = \$12000\)

$12000 is greater than $10000

Since $12000 is greater than $10000, then they are eligible for chapter 7 bankruptcy.

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