7 of possible A survey conducted in a small business yielded the results shown in the table. Test the claim that health care coverage is independent of gender. Use a 0.05 significance level. What is the value of the test statistic? Men Women Health insurance 50 20 No health insurance 30 10 O A. x² = 5.821 O B.x²=3.841 c. x² = 8.263 O D. x² = 0.1637

The p-value can be calculated to test the null hypothesis that the average running time of HP laptops is 120 minutes against the alternative hypothesis that it is not equal to 120 minutes.

The p-value for testing the hypothesis that the average time for the HP laptops is not equal to 120 minutes can be calculated using a t-test. Given a sample mean of 122 minutes, a sample size of 60, a null hypothesis mean of 120 minutes, and a standard deviation of 25 minutes, we can calculate the t-value and find the corresponding p-value.

To calculate the t-value, we use the formula: t = (sample mean - null hypothesis mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values, we get: t = (122 - 120) / (25 / sqrt(60))

Calculating the t-value, we find t ≈ 0.894

To find the p-value associated with this t-value, we can refer to a t-distribution table or use statistical software. The p-value represents the probability of observing a t-value as extreme as the one obtained, assuming the null hypothesis is true.

Since the p-value (0.757) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the average running time of HP laptops is significantly different from 120 minutes.

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We can write the fraction as a decimal -

13001.5

A fraction represents a part of a whole or, more generally, any number of equal parts

Given is the fraction as -

13000\(\frac{3}{2}\)

We can write the fraction as a decimal -

13000\(\frac{3}{2}\)

13000\(\frac{3}{2}\) = (2 x 13000 + 3)/2

13000\(\frac{3}{2}\) = (26000 + 3)/2

13000\(\frac{3}{2}\) = 26003/2

13000\(\frac{3}{2}\) = 13001.5

Therefore, we can write the fraction as a decimal -

13001.5

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Natiοnal Incοme statistics = Tοtal Rent + Tοtal Wages + Tοtal Interest + Tοtal Prοfit. gοοds and services prοduced in a cοuntry during a year is οbtained, which is called tοtal final prοduct. This represents Grοss Dοmestic Prοduct ( GDP ).

Natiοnal incοme is the tοtal incοme earned by all individuals and businesses in a cοuntry in a specific periοd οf time, usually a year. It includes all fοrms οf incοme such as wages, salaries, prοfits, rents, and interest earned. Natiοnal incοme is an impοrtant measure οf a cοuntry's ecοnοmic perfοrmance, as it reflects the tοtal οutput and incοme generated within the cοuntry's bοrders.

Natiοnal incοme statistics are calculated by measuring the tοtal value οf gοοds and services prοduced within a cοuntry during a given periοd οf time, typically οne year. The fοllοwing are sοme οf the key cοmpοnents οf natiοnal incοme statistics:

Grοss Dοmestic Prοduct (GDP): This is the tοtal value οf all gοοds and services prοduced within a cοuntry's bοrders in a given periοd οf time. It is calculated by adding up the value οf all final gοοds and services prοduced in a cοuntry during the year.

Grοss Natiοnal Prοduct (GNP): This is similar tο GDP, but alsο includes the value οf gοοds and services prοduced by a cοuntry's citizens and cοmpanies abrοad.

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Answer:

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.

Answer:

m = -3

Step-by-step explanation:

-2m=6

Divide both sides by (-2).

m = 6 ÷ (-2)

m = -3

The fraction 4/6 + 8/6 is added to give 2

The addition of fraction is done as follows

check if the denominator of the both fraction are equal. In this case they are equal with a value of 6

4/6 + 8/6

the addition requires adding the numerators

= (4 + 8) / 6

= 12 / 6

= 2

adding the fractions gives a value of 2

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Answer:

The volume of the triangular prism is 677.6 cubic meters.

Step-by-step explanation:

The formula for the volume of a triangular prism is:

\(\sf\qquad\dashrightarrow Volume \: (V) = \dfrac{1}{2} \times b\times h \times l \)

where:

Substituting the given values, we have:

\(\sf:\implies Volume \: (V) = \dfrac{1}{2} \times 11 \times 11 \times 11.2\)

\(\sf:\implies \boxed{\bold{\:\:Volume \: (V) = 677.6\: meters^3\:\:}}\:\:\:\green{\checkmark}\)

Therefore, the volume of the triangular prism is 677.6 cubic meters.

Greetings! ZenZebra at your service, hope it helps! <33

Answer:

It is a hyperbole.

Step-by-step explanation:

5 v x - 6 = -20

v x = -14/5

v≠0 , x = -14/(5 v)

v = -14/(5 x)

Answer:

a=2, b=-3

Step-by-step explanation:

f(x) = ax+b

f(3)=3, 3a+b=3

f(2)=1, 2a+b=1

Solving these two equations, we get a=2, b=-3

Answer:

x=0

Step-by-step explanation:

Answer:

(4x + 2)( 2x - 10)

Step-by-step explanation:

Answer:

(8x+4) ( x-5)

Step-by-step explanation:

Well we can't factor out the 8 and solve because if we do the -20 and -36 will be decimals.

So we do this

8 * -20 = -160

We need to find 2 number that multiplies  to -160 and adds to -36

-40 and 4 fit this category

they add to -36 and multiply to -160

Now we write the equation as

8x^2 - 40x + 4x -20

(8x^2-40x) (4x-20)

8x(x-5) + 4(x-5)

(8x+4) ( x-5)

Answer:

I think it will cost $8 in total sorry if wrong

Answer:

$8

Step-by-step explanation:

The cost of 3 attendees is $6. This means that it costs $2 per person to attend.

Therefore, the unit rate is $2/1.

To find the cost of 4 attendees, multiply the unit rate by 4.

$2/1 × 4 = $8

Hope that helps.

Answer:

2 - 15 = -13

Step-by-step explanation:

Use the website, Math w a y or Desmos! It helps!

To find a differential equation that corresponds to a given direction field, we need to examine the slope of the direction field at different points.

Let's consider a direction field where the slope at each point is y. This means that at each point, the slope of the tangent line is equal to the y-coordinate of that point.

To express this as a differential equation, we can use the derivative notation. The derivative of y with respect to x is denoted as dy/dx. Since the slope at each point is y, we can write:

dy/dx = y

This is a first-order linear homogeneous differential equation, known as the exponential growth or decay equation. It represents a function whose rate of change is proportional to its current value.

The differential equation that corresponds to the given direction field with a slope of y is dy/dx = y. This equation describes exponential growth or decay depending on the sign of y.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer: \(\frac{2}{3}\)

Step-by-step explanation:

    Since we are given two clear coordinate points on the graph, we can use the "rise over run" method. Starting at (0, 0), we will count 2 units up and 3 units right to (3, 2). This gives us a slope of 2 over 3 ("rise over run).

Answer:

615.8

Step-by-step explanation:

Circle area = π * r² = π * 196 [mcm²] ≈ 615.8 [cm²]

Answer:

Area is 616 square centimeters.

Step-by-step explanation:

Area of Circle

\(A = \pi r^2\)

A ... area

r ... radius

Given

r = 14 cm

Use formula.

\(A = \pi r^2\)

\(A = \pi (14 \text{ cm})^2\)

\(A = \pi (196) \text{ cm}^2\)

Use \(\frac{22}{7}\) for \(\pi\), since they tell you to use that in instructions.

\(A = (\frac{22}{7}) (196) \text{ cm}^2\)

\(A = 616 \text{ cm}^2\)

Which function is growing on the (-, ) interval? O A. g(x) = "-4(2^x)" O B. f(x)= "-3x"+7 O C. h(x)= 2x—1 O D. j(x)= x2 + 8x+1

Try searching for Which function is rising on the range (-, ) instead. O A. g(x) = -4(2^x) O B. f(x) = -3x + 7, O c. h(x) = 2x - 1, and O D. j(x) = x2 + 8x + 1.

Which function is increasing on the interval (- ∞ ∞?

Image result for Which function is increasing on the interval (-∞, ∞)? O A. g(x) = -4(2^x) O B. f(x) = -3x + 7 O c. h(x) = 2^x - 1 O D. j(x) = x² + 8x + 1

Since, x and y are arbitrary values, therefore, f (x) < f (y) whenever x < y. Therefore, the interval (-∞, ∞) is a strictly increasing interval for f(x) = 3x + 5

The interval is increasing if the value of the function f(x) increases with an increase in the value of x and it is decreasing if f(x) decreases with a decrease in x.

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First find height using Pythagorean theorem.

\(h^2+4^2=13^2\implies h=\sqrt{153}\approx12.37\).

Then use cone surface area formula and compute the result:

\(A=\pi r(r+\sqrt{h^2+r^2})\approx\boxed{68\pi}\mathrm{units^2}\).

Hope this helps.

Answer:

5.8 h po salamat

salamat po

Answer:

12 y − 3

Step-by-step explanation:

4(3y+2)-11

Expand 4(3y+2): 12y+8

12y+8-11

=12y-3

the second one √72= 8.48 and the square root of √83=9.11 pi^2 = 9.86

when you put this in order by the decimal you get

8.48, 8.7, 9.11, 9.25, 9.86 which is really √72, 8.7, √83, 9.25, pi^2

(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

Given the rule of transformation:

(x, y) → (x+2, y+3)

If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.

In other words,

(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+2, y+3)

A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)

Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).

Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

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Answer:

x-intercept= (5,0)

y-intercept= (0,-2)

Slope= 2/5

Step-by-step explanation:

Answer:

Let the three angles be 2x,9x & 4x

By the problem,2x+9x+4x=180

15x=180

x=180/15

x=12

there fore the angles are

2x= 2*12=24°

9x=108°

4x=48°

Step-by-step explanation:

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.

To find the optimal number of notebooks to make in each order, we can use the EOQ formula:

EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]

EOQ = √[(2 * 19455 * 27) / 6]

EOQ ≈ 589.96

Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.

The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:

AOC = (Demand / EOQ) * Ordering Cost

AOC = (19455 / 590) * 27

AOC ≈ $892.20

The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:

AHC = EOQ * Holding Cost

AHC = 590 * 6

AHC = $3540

The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:

APC = Demand * Cost per unit

APC = 19455 * 12

APC = $233,460

The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:

ATC = AOC + AHC + APC

ATC = 892.20 + 3540 + 233460

ATC ≈ $237,892.20

The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:

N = Demand / EOQ

N = 19455 / 590

N ≈ 33

The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:

T = Number of working days / N

T = 250 / 33

T ≈ 7.58 days

The daily demand is calculated by dividing the annual demand by the number of working days in a year:

Daily Demand = Demand / Number of working days

Daily Demand = 19455 / 250

Daily Demand ≈ 77.82 units/day

The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):

ROP = Daily Demand * Lead Time

ROP = 77.82 * 4

ROP ≈ 311.28 units

Therefore, the reorder point would be approximately 311 units.

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Answer:

x=3 C

Step-by-step explanation:

5x-13=-3x+11

8x-13=11

8x=24

x=3

Answer:

the answer is x=3

Step-by-step explanation:

i hope this help you

The area of the shaded region is

The area of the shaded region is solved using the formula

Area of shaded region = π(R^2 - r^2)

where

R = radius of the bigger circle = 22 + 12  = 34 cm

r = radius of the smaller circle = 12 cm

plugging in gives

Area of shaded region = π (34^2 - 12^2) = 3179.29 squared centimeters

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