sales at a fast-food restaurant average $7,800 per day. the restaurant decided to introduce an advertising campaign to increase daily sales. to determine the effectiveness of the advertising campaign, a sample of 64 days of sales were taken. they found that the average daily sales were $8,080 per day. from past history, the restaurant knew that its population standard deviation is about $1,000. the value of the test statistic is .

Answer:

its already on brainy hope this helps

Step-by-step explanation:

The rate of giant tortoise is 1/10 meters per each second.

The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant tortoise to travel 5 meters?

1 second : 1/10 m = X : 5 m

1/10x = 5

x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?

1 second : 1/2 m = X : 10 m

1/2x = 10

x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.

So the cooter turtle can travel 10 meters in 20 seconds.

Answer:

The exact value of csc A, in simplest radical form using a rational denominator, is 1/√171.

Step-by-step explanation:

Given that sec A = 14, we can use the reciprocal identity of trigonometric functions to find the value of csc A. The reciprocal identity states that:

csc A = 1/sin A

To find sin A, we can use the Pythagorean identity, which states that for any angle A:

sin^2 A + cos^2 A = 1

Given that sec A = 14, we know that:

sec A = 1/cos A = 14

Solving for cos A, we have:

cos A = 1/14

Now, using the Pythagorean identity, we can find sin A:

sin^2 A = 1 - cos^2 A

sin^2 A = 1 - (1/14)^2

sin^2 A = 1 - 1/196

sin^2 A = (196 - 1)/196

sin^2 A = 195/196

Taking the square root of both sides, we get:

sin A = √(195/196) = √195 / √196

Simplifying further, we have:

sin A = √(195)/14

Finally, using the reciprocal identity, we find:

csc A = 1/sin A = 1 / (√(195)/14) = 1/√195 * 14/1 = 14/√195 = (14√195)/195

To express the value of csc A in simplest radical form using a rational denominator, we rationalize the denominator by multiplying both the numerator and denominator by √195:

csc A = (14√195 * √195) / (195 * √195) = (14 * 195) / (195 * √195) = 14/√195

Therefore, the exact value of csc A, in simplest radical form using a rational denominator, is 1/√171.

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The coordinates of the first point of intersection in rectangular form are (x, y) = ((5/2), (5/2)).

To find the points of intersection between the polar curves r = 5 sin(θ) and r = 5 cos(θ), we need to equate the two equations and solve for θ. Let's start by setting the two equations equal to each other:

5 sin(θ) = 5 cos(θ)

Dividing both sides by 5 gives:

sin(θ) = cos(θ)

Now, we can use the trigonometric identity sin(θ) = cos(90° - θ). Replacing cos(θ) with sin(90° - θ), the equation becomes:

sin(θ) = sin(90° - θ)

Since the sine function is equal to itself for any angle plus multiples of 360°, we can write:

θ = 90° - θ + 360°  x  n

Here, n represents any integer value. Solving for θ, we get:

2θ = 90° + 360°  x  n

Dividing both sides by 2, we have:

θ = 45° + 180°  x  n

Now, let's substitute this value of θ back into the original equation r = 5 sin(θ) (or r = 5 cos(θ)) to find the corresponding r-values.

For θ = 45°:

r = 5 sin(45°) = 5 cos(45°)

Using the values of sine and cosine for 45°, we get:

r = 5  x  √(2)/2 = 5  x  √(2)/2

Simplifying further, we have:

r = (5/2)  x  √(2)

Therefore, the coordinates of the first point of intersection are (r, θ) = ((5/2)  x  √(2), 45°).

Now, let's consider the value of θ for n = 1:

θ = 45° + 180°  x  1 = 45° + 180° = 225°

For θ = 225°:

r = 5 sin(225°) = 5 cos(225°)

Using the values of sine and cosine for 225°, we get:

r = 5  x  (-√(2)/2) = -5  x  √(2)/2

Simplifying further, we have:

r = (-5/2)  x  √(2)

Therefore, the coordinates of the second point of intersection are (r, θ) = ((-5/2)  x  √(2), 225°).

To convert these polar coordinates into rectangular coordinates, we can use the formulas:

x = r  x  cos(θ) y = r  x  sin(θ)

For the first point of intersection, (r, θ) = ((5/2)  x  √(2), 45°):

x = ((5/2)  x  √(2))  x  cos(45°) = (5/2)  x  √(2)  x  √(2)/2 = (5/2) y = ((5/2)  x  √(2))  x  sin(45°) = (5/2)  x  √(2)  x  √(2)/2 = (5/2)

Hence the correct option is (b).

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The probability that a randomly selected member of the US labor force was unemployed in 2011 was approximately 0.087 or 8.7%.

This can be calculated by dividing the number of unemployed individuals in the labor force by the total number of individuals in the labor force. According to the US Bureau of Labor Statistics, there were 13.9 million unemployed individuals in the US labor force in 2011, out of a total labor force of 159.7 million. Dividing 13.9 million by 159.7 million gives a probability of approximately 0.087, or 8.7%.

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The value of y will be -4 when the value of x is 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The equation of the given condition will be given as:-

y = \(\dfrac{k }{x}\)

At y = 8 when x = -2 so

8 = \(\dfrac{k}{-2}\)

k = -16

The value of y at x = 4 will be calculated as:-

y = \(\dfrac{-16}{4}=-4\)

Therefore the value of y will be -4 when the value of x is 4.

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The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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Answer:

a = 3
h = 1
k = 5

Step-by-step explanation:

A function is a mathematical rule that relates an input (x) to an output (f(x)).

In this case, the function f(x) is given by the formula

f(x) = 2x³− 21x²− 48x + 11. The function is defined for all values of x between -4 and 17. This means that if you plug any number between -4 and 17 into the formula, you will get a corresponding output value.

However, in general, functions can represent all sorts of real-world phenomena, such as distance traveled over time, the amount of money in a bank account over time, or the temperature of a room over time. In the case of this particular function, it may be useful in modeling some phenomenon, but without more information, it's impossible to say what that phenomenon might be.

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Answer:

y=x+4

Step-by-step explanation:

y=mx+b

Answer:

n=18

Step-by-step explanation:

Answer:

\( \hookrightarrow \: { \rm{5p + 3q}}\)

\( = { \tt{5(2) + 3( - 8)}} \\ \\ = { \tt{10 - 24}} \\ \\ = { \underline{ \underline{ \tt{ \: \: - 14 \: \: }}}}\)

The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),

we can see that the slope of the line is 3 and it passes through the point (2, 5).

To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To get the equation in slope-intercept form, we need to isolate y on one side of the equation.

We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2)  y - 5 = 3x - 6  y = 3x - 6 + 5  y = 3x - 1

Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

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Answer:

31874

Step-by-step explanation:

I think that's right?

please tell me

Answer:

4.5

Step-by-step explanation:

180/40 is 4.5. 40x4.5=180

Answer: I don’t think you can

Step-by-step explanation: ??????????????????

Jay's net weight change in 6 month is 30 pounds.

a) Given that, in February, the record low temperature for ST.Paul Minnesota was -3° F

In January temperature = -3×6

= -18 F

c) Jay went on a diet and last 5 pounds each month

Jay's net weight change in 6 months = 5×6

= 30 pounds

Therefore, Jay's net weight change in 6 month is 30 pounds.

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Since each packet received is independent of any other packet, we can model X as a binomial distribution with parameters n=10 and p=0.05 (the probability of receiving a packet with errors is 1-0.95=0.05).

The probability mass function (PMF) of X is given by:

P(X=k) = (10 choose k) * 0.05^k * 0.95^(10-k), for k = 0, 1, 2, ..., 10

where (10 choose k) is the binomial coefficient, representing the number of ways to choose k packets out of 10.

So, for example, the probability of receiving exactly 2 packets with errors is:

P(X=2) = (10 choose 2) * 0.05^2 * 0.95^8
= 45 * 0.0025 * 0.4305
= 0.0463

Similarly, we can calculate the probabilities for other values of k.
Hi, I'd be happy to help you with your question. Let's find the probability mass function (PMF) of X, where X represents the number of packets received with errors out of 10 packets, and the packets are independent with a 0.95 probability of being error-free.

1. Define the probability of success (error-free) and failure (with errors).
  Success (error-free): p = 0.95
  Failure (with errors): q = 1 - p = 0.05

2. Since the packets are independent, we can use the binomial distribution to model the problem. The PMF of a binomial distribution is given by:
  P(X = k) = C(n, k) * p^k * q^(n-k)

3. In our case, n = 10 (number of packets received), and we need to find P(X = k) for k = 0, 1, 2, ..., 10.

So, the PMF of X, the number of packets received with errors out of 10 independent packets, is:

P(X = k) = C(10, k) * (0.95)^k * (0.05)^(10-k), for k = 0, 1, 2, ..., 10.

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Answer:

Length of the thread = 30 metres

Step-by-step explanation:

Length of the thread in one round of a reel = Circumference of the reel

                                                                    C = \(2\pi r\)

Since radius of the reel = \(\frac{\text{Diameter}}{2}\)

                                       = \(\frac{5}{2}\)

                                       = 2.5 cm

Circumference of the reel = 2(π)(2.5)

                                           = 5π

                                           = 5×3

                                           = 15 cm

Length of the thread wound in one round around the reel = 15 cm

Since, thread is wound 200 times round a reel, length of the thread

= 200 × 15                                                      

= 3000 cm

≈ 30 metres

Therefore, Option (B) will be the answer.

Answer:

king need 12m by 5m 12×5 =

60

Step-by-step explanation:

look up and read

Based on the given information, the net amount your firm will receive on the next transaction date can be calculated by subtracting the variable interest rate from the fixed interest rate.

In the swap agreement, your firm pays a fixed interest rate of 5.50 percent and receives a variable interest rate equal to LIBOR (London Interbank Offered Rate) plus 150 basis points. LIBOR is currently 3.75 percent.

To calculate the net amount your firm will receive on the next transaction date, we need to subtract the variable interest rate from the fixed interest rate.

Fixed interest rate: 5.50%

Variable interest rate: LIBOR (3.75%) + 150 basis points (1.50%) = 5.25%

Therefore, the net amount your firm will receive on the next transaction date is the difference between the fixed interest rate and the variable interest rate, which is 0.25%.

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C

Step-by-step explanation:

c,c is the answer i think so

Let's create a vector F(x, y, z) with at least two variables in its components:

F(x, y, z) = (xy + 2z)i + (yz + 3x)j + (xz + y)k

Now, let's find the gradient, divergence, and curl of this vector:

1. Gradient (∇F):

The gradient of a vector is given by the partial derivatives of its components with respect to each variable. For our vector F(x, y, z), the gradient is:

∇F = (∂F/∂x)i + (∂F/∂y)j + (∂F/∂z)k

Calculating the partial derivatives:

∂F/∂x = yj + zk

∂F/∂y = xi + zk

∂F/∂z = 2i + xj

Therefore, the gradient ∇F is:

∇F = (yj + zk)i + (xi + zk)j + (2i + xj)k

2. Divergence (div F):

The divergence of a vector is the dot product of the gradient with the del operator (∇). For our vector F(x, y, z), the divergence is:

div F = ∇ · F

Calculating the dot product:

div F = (∂F/∂x) + (∂F/∂y) + (∂F/∂z)

Substituting the partial derivatives:

div F = y + x + 2

Therefore, the divergence of F is:

div F = y + x + 2

3. Curl (curl F):

The curl of a vector is given by the cross product of the gradient with the del operator (∇). For our vector F(x, y, z), the curl is:

curl F = ∇ × F

Calculating the cross product:

curl F = (∂F/∂y - ∂F/∂z)i - (∂F/∂x - ∂F/∂z)j + (∂F/∂x - ∂F/∂y)k

Substituting the partial derivatives:

curl F = (z - 3x) i - (z - 2y) j + (y - x) k

Therefore, the curl of F is:

curl F = (z - 3x)i - (z - 2y)j + (y - x)k

That's it! We have calculated the gradient (∇F), divergence (div F), and curl (curl F) of the given vector F(x, y, z) by finding the partial derivatives, performing dot and cross products, and simplifying the results.

The point-slope form is

where m is the slope and (x1,y1) is a point where the line passes through

In our case

m=5

(x1,y1)=(-9,2)

Then we substitute

ANSWER

The point-slope form is

y-2=5(x+9)

Answer:

5x + 8y = 720

Step-by-step explanation:

Let the :

Number of kid tickets sold = x

Number of adult tickets sold = y

Hence:

Tickets for kids cost $5 each.

Tickets for adults cost $8 each.

The total sales on opening night is $720.

The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:

$5 × x + $8 × y = $720

5x + 8y = 720

Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is

5x + 8y = 720

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:

the area of the isosceles triangle is approximately 104.49 cm^2.

Step-by-step explanation:

The perimeter of the triangle is 100 cm, so we can write an equation using the lengths of the sides:

x + x + (x + 10) = 100

3x + 10 = 100

3x = 90

x = 30

So the equal sides of the triangle have length 30 cm and the side that is 10 cm greater has length 40 cm.

To find the area of the triangle, we can use the formula for the area of an equilateral triangle:

Area = (sqrt(3) / 4) * (side length)^2

Area = (sqrt(3) / 4) * 30^2

Area = (sqrt(3) / 4) * 900

Area = (sqrt(3) / 4) * 30 * 30

Area = (sqrt(3) / 4) * 900

Area = (30 * sqrt(3)) / 2

Area = 45 sqrt(3)

The function that represents the data in the table is 3x²+2. The correct answer is B.

The quadratic function is shown in the data table.

We must ascertain the function's equation.

The quadratic equation's generic form is

Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).

We therefore have;

a+b+c =5——— (1)

4a+2b+c= 14——— (2)

9a+3b+C =29------(3)

When (2) is subtracted from (1), we have;

9= 3a+b(4)

Subtracting (3) from (2) gives us;

15= 5a +b(5)

Subtracting (5) from (4) gives us;

6= 2a

3= a

As a result, the value of an is 3. When we replace this value in equation (4), we obtain;

3(3)+b= 9

b= 0

When a = 3 and b = 0 are substituted in equation (1), we obtain;

a+b+c =5

3+0+c=5

c=2

As a result, c has a value of 2.

As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;

3x²+2

Consequently, the function that symbolizes the information in the table is 3x²+2

As a result, Option B is the right response.

Your question is incomplete but maybe your full question attached below

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In question 16, a 98% confidence interval was computed based on a sample of 41 Veterans' Day celebrations. If the confidence level were decreased to 90%, the margin of error would decrease, and the width of the confidence interval would also decrease.

This is because a lower confidence level requires a smaller range of values to be included in the interval, resulting in a narrower range of possible values. However, it's important to note that decreasing the confidence level also increases the risk of the interval not capturing the true population parameter.

1. Margin of Error: The margin of error is affected by the confidence level because it is directly related to the critical value (or Z-score) associated with the chosen confidence level. As the confidence level decreases, the critical value also decreases. This will result in a smaller margin of error.

2. Confidence Interval: The confidence interval is calculated by adding and subtracting the margin of error from the sample mean. Since the margin of error is smaller when the confidence level is decreased to 90%, the width of the confidence interval will also become narrower.

In summary, decreasing the confidence level from 98% to 90% will result in a smaller margin of error and a narrower confidence interval for the sample of 41 Veterans Day celebrations.

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