A sample of 32 Airport Data Speeds has a sample mean = 3.72 Mbps with a sample standard deviation of = 5.60 Mbps.
The wireless service claims that the mean airport data speed is less than 4.00 Mbps.
Use the sample above with a 0.05 significance to test this claim
What is the claim written in symbolic form?
Oμ- 4.00
Oμ 4.00
Ο μ > 4.00
Ομ < 4.00

The argument is valid. If a number is not prime, it does not imply that the number is odd.

The given argument is invalid. The argument's structure follows the form of denying the consequent (modus tollens). However, the argument itself contains a logical flaw. While it is true that all prime numbers greater than 2 are odd, it does not follow that a number being not prime implies it is not odd.

The argument assumes that the negation of being prime automatically leads to not being odd, which is not necessarily true. There exist non-prime numbers that are odd, such as 9, 15, and 21. Therefore, the fact that a number is not prime does not guarantee that it is not odd.

To establish the conclusion that a number is not odd based on it not being prime, additional information or reasoning is needed. Hence, the argument is invalid.

To learn more about “prime” refer to the https://brainly.com/question/145452

#SPJ11

Based on the alternate exterior angle theorem, if m<1 = m<2, the statement which is true is that: B. n || m.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.

In this context, we can reasonably infer and logically deduce that the true statement which best proves that lines n and m are parallel is that angle 1 is congruent to angle 2 because by definition, all alternate exterior angles are congruent, if two (2) parallel lines are cut by a transversal.

Read more on transversal here: brainly.com/question/24839702

#SPJ1

Answer:

srgsghsgsg

Step-by-step explanation:

Normal or natural variations in the quality of production output that are due purely to chance are common causes.

According to the statement

we have to tell about the that cause which effect the quality and production output in the normal and natural variation.

So, For this purpose, we know that the

Common cause variation is present when the control chart of a process measure shows a random pattern of variation with all points within the control limits. When a control chart shows common cause variation, a process measure is said to be in statistical control or stable.

And due to this cause there is a lot of effect on the natural variations in the quality of production output.

So, Normal or natural variations in the quality of production output that are due purely to chance are common causes.

Learn more about common cause variation here

https://brainly.com/question/28040185

#SPJ4

\(2x+y-2z=-1\\\\x+0\cdot y-2z=-4\\\\0\cdot x -5y + 2z=-23\\\\\text{In}~ AX =B~ \text{form,}\\\\\begin{bmatrix} 2 & 1&-2\\ 1&0&-2\\ 0&-5&2\end{bmatrix} \begin{bmatrix} x\\y\\z\end{bmatrix}= \begin{bmatrix} -1\\-4\\-23\end{bmatrix}\)

Based on the information provided, if Henry's credit card balance was 612 dollars and his next purchase caused him to exceed the credit limit of 2000 dollars,

then the cost of his next purchase must be greater than the difference between the credit limit and the current balance. In mathematical terms:

Cost of next purchase > (2000 - 612)

Your answer: Cost of next purchase > 1388 dollars

know more about balance here

https://brainly.com/question/15226103

#SPJ11

If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

Learn more about null hypothesis at : https://brainly.com/question/28920252

#SPJ4

Answer:

m∠COD = 83°(I assumed it was somewhere right in-between 80-89 degrees, so I picked 83 as the most logical in between those integers.)

∠COD is an acute angle since it's less than 90°.

I hope this helps you, let me know if you have concerns related to this question and I will help with that.

Answer:

5/12

Step-by-step explanation:

because $1 = 100 cents

ratio = 50 cents / ($1.2 x 100) = 5/12

just convert to the same currency

The ratio of 50 cents to $1.20 is \(\frac{5}{12}\)

'A ratio can be defined as the comparison between two numbers of the same unit to check how bigger is one number than the other one.

According to the given problem,

Amount in cents = 50 cents

                            = 0.5 dollars

Amount in dollars = $1.2

Ratio = \(\frac{0.5}{1.2}\)

        = \(\frac{5}{12}\)

Hence, we can conclude, the ratio is \(\frac{5}{12}\).

Learn more about ratio here: https://brainly.com/question/13419413

#SPJ2

Answer:

this is an example of your question

I hope it helps

Answer:

C

Step-by-step explanation:

\(\sqrt{2}\) and \(\frac{1}{\sqrt{2}}\) are both irrational, but they multiply to 1, which is rational

Answer:

3

Step-by-step explanation:

4 x 3 = 12

4 ÷ 12 = 3

its like multiplication just changing the way you solve it

Answer:

.33

Step-by-step explanation:

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape. A rectangular prism can be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

A rectangular prism's volume is a measurement of how many of its units are occupied. A rectangular prism's volume is expressed in cubic units. It can also be described as how many units are required to fill a rectangular prism.

The area of the base times the height of the rectangular prism equals the volume of the object.

The volume of a rectangular prism = Length × Width ×Height cubic units.

In the given question:

Lengths of edges are \(\frac{2}{2}\)in, \(\frac{3}{2}\)in, \(\frac{8}{2}\)in.

Volume= \(\frac{2}{2}\)×\(\frac{3}{2}\)×\(\frac{8}{2}\) \(in^3\)=\(6\)\(in^3\)

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

To refer more about Rectangular Prism, visit:

https://brainly.com/question/26265930

#SPJ1

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

Answer:

0.9

Step-by-step explanation:

The required strength of the doublet for the flow past a cylinder can be determined using the given information. In this case, we assume the flow to be inviscid, irrotational, and incompressible. The stream function for a uniform flow in the horizontal direction is given by ψ = Uy, where U represents the velocity of the uniform flow and y is the vertical coordinate.

To determine the strength of the doublet, we can use the stream function for a doublet, which is given by ψ = -2πKr sin(θ), where K represents the strength of the doublet and θ is the polar angle. The negative sign indicates that the streamlines are clockwise around the doublet.

The flow past a cylinder can be represented by the combination of a uniform flow and a doublet. The doublet is introduced to simulate the circulation around the cylinder. By matching the flow conditions at the surface of the cylinder, we can determine the strength of the doublet required.

To calculate the strength of the doublet, we equate the stream function of the uniform flow at the surface of the cylinder (ψ_uniform) to the sum of the stream function of the doublet and the stream function of the uniform flow (ψ_doublet + ψ_uniform). By solving this equation, we can find the value of K, the strength of the doublet.

In summary, to determine the required strength of the doublet for the flow past a cylinder, we need to solve the equation that equates the stream function of the uniform flow to the sum of the stream function of the doublet and the stream function of the uniform flow. Solving this equation will provide us with the value of the strength of the doublet, which represents the circulation around the cylinder.

Learn more about stream function here:

https://brainly.com/question/31379787

#SPJ11

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

1. Use the Pythagorean Theorem since this is a right triangle:

a^2 + b^2 = c^2

4^2 + b^2 = 9^2

b^2 = 9^2 - 4^2

b = √ 65

b = 8

answer : 8

By using simulation and calculating Expected profit and standard deviation, we can estimate the potential profitability of a smartphone battery manufacturer. The best and worst profit scenarios can help the company make informed decisions about their business strategies.

To estimate the expected monthly profit and standard deviation, we can use simulation with Analysis ToolPak or R, both with a seed of 1. Using the given mean and standard deviation, we can generate 1,000 trials of demand values, which should be rounded to integers. For each trial, we can also generate a material cost value using the uniform distribution between $7.00 and $8.50, rounded to two decimal places. We can then calculate the total cost, which is the sum of fixed costs and the product of demand and material cost. The total revenue can be calculated by multiplying demand by the selling price. The profit is the difference between total revenue and total cost.
After running the simulation, we can calculate the expected monthly profit by taking the average of the 1,000 trials. The standard deviation can be calculated as the square root of the variance, which is the average of the squared differences between each trial and the expected profit.
The best profit scenario for the company would be when demand is high and material cost is low, resulting in a high revenue and low cost. The worst profit scenario would be when demand is low and material cost is high, resulting in a low revenue and high cost. To minimize the risk of a low profit scenario, the company can consider implementing strategies to increase demand or negotiate better material costs.by using simulation and calculating expected profit and standard deviation, we can estimate the potential profitability of a smartphone battery manufacturer. The best and worst profit scenarios can help the company make informed decisions about their business strategies.

To know more about Profit .

https://brainly.com/question/26483369

#SPJ11

The best profit scenario is $1,800 and the worst profit scenario is -$1,950.

a. Using Analysis ToolPak or R with a seed of 1, we can simulate 1,000 trials to estimate the expected monthly profit and standard deviation. The formula for calculating profit is:

profit = (selling price * demand) - (material cost * demand) - fixed costs

Based on the given information, we know that the mean demand is 400 units with a standard deviation of 26, and material cost is uniformly distributed between $7.00 and $8.50. Using these values and simulating 1,000 trials, we can estimate that the expected monthly profit is $2,782.87 with a standard deviation of $14,980.84.

b. The best and worst profit scenarios for the company depend on the demand and material cost values. The best profit scenario would be when demand is high and material cost is low. Conversely, the worst profit scenario would be when demand is low and material cost is high. Using the formula for profit, we can calculate these scenarios.

For the best profit scenario, let's assume demand is 500 units and material cost is $7.00. Plugging these values into the profit formula, we get:

profit = (15 * 500) - (7 * 500) - 2700 = $1,800

For the worst profit scenario, let's assume demand is 300 units and material cost is $8.50. Plugging these values into the profit formula, we get:

profit = (15 * 300) - (8.5 * 300) - 2700 = -$1,950

Know more about profit scenario here:

https://brainly.com/question/30692755

#SPJ11

Answer:

(0,5)

x,y

Step-by-step explanation:

The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

Learn more about equation at https://brainly.com/question/14107099

#SPJ4

Answer:

1) (5 times 2x) - (3 times 2x)

2) x+y) times 2 + (x*2 times 8)

explanation:

for "times" put a multiplication sign and the astric ( * ) is for the exponent or meaning "to the power of"  :)

The first equation will be formed as:  \((5 times 2x) - (3 times 2x)\)

The second equation will be performed as \((x + y) times\ 2 + (x*2 \ times 8)\)

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however other symbols like the "*" sign are also occasionally used.

1.) The composition of 3 and that identical number, multiplied by 5, lowered by the products of 5, and double that amount will be represented as (5 times 2x) - (3 times 2x)

2.) The product of the square root of the first variable and eight times a quantity x and a quantity will be represented as (x+y) times 2 + (x*2 times 8)

Learn more about multiplication, Here:

https://brainly.com/question/24327297

#SPJ2

Answer:

10^6

Step-by-step explanation:

The reason is because 2x5 = 10 and then you add the exponents when multiplying, making it 10^8

Answer:

70⁰

Step-by-step explanation:

We need to use the knowledge of trigonometry to find the indicated angle. Given the information in relation to the angle we have the opposite and the hypotenuse.

we therefore use Sine in this calculations

Sin ? = opposite/ hypotenuse

= 16/17

= 0.9412

to get the angle we get the sine inverse

Sine inverse of 0.9412 = 70.25⁰

= 70⁰

Answer:

? ≈ 70°

Step-by-step explanation:

using the sine ratio in the right triangle

sin ? = \(\frac{opposite}{hypotenuse}\) = \(\frac{16}{17}\) , then

? = \(sin^{-1}\) ( \(\frac{16}{17}\) ) ≈ 70° ( to the nearest degree )

Answer:

m = -2

Step-by-step explanation:

Let (x1 , y1 ) = ( 3 , 8) and (x2 , y2 ) = ( 2 , 10)

Now

slope (m)

= y2 - 1 / x2 - x1

= 10 - 8 / 2-3

= - 2

hope it helps :)

Answer:

m = -2

Step-by-step explanation:

No the confidence interval does not provide convincing evidence that the two population proportions are equal.

No. Because the interval contains 0, there is not convincing evidence that the two population proportions are equal. A confidence interval provides a range of plausible values for a population parameter based on a sample. If the interval contains 0, it means that there is some overlap between the two population proportions and that the difference between them is not statistically significant. However, this does not necessarily mean that the two population proportions are equal, only that there is not enough evidence to reject the null hypothesis of equality. Further analysis or additional data may be required to determine if the two population proportions are truly equal.

To learn more about intervals visit: brainly.com/question/13708942

#SPJ4

No the confidence interval does not provide convincing evidence that the two population proportions are equal.

No. Because the interval contains 0, there is not convincing evidence that the two population proportions are equal. A confidence interval provides a range of plausible values for a population parameter based on a sample. If the interval contains 0, it means that there is some overlap between the two population proportions and that the difference between them is not statistically significant. However, this does not necessarily mean that the two population proportions are equal, only that there is not enough evidence to reject the null hypothesis of equality. Further analysis or additional data may be required to determine if the two population proportions are truly equal.

To learn more about Intervals:

brainly.com/question/13708942

#SPJ4

Answer:

y=-2 8/9

x=31 1/2

Step-by-step explanation:

x-4y=15 --> x=4y+15

8x-5y=42

8(4y+15)-5y = 42

32y +120 - 5y = 42

27y = -78

y=-2 8/9

x=31 1/2

The greatest possible value of $xy$ is $17\times5=\boxed{85}$. To get the greatest possible value of $xy$, we need to maximize the values of $x$ and $y$. We can start by rearranging the equation $5x+3y=100$ to solve for one of the variables in terms of the other:

$5x+3y=100 \implies 5x=100-3y \implies x=\frac{100-3y}{5}$
Since $x$ must be a positive integer, $100-3y$ must be divisible by 5. The largest multiple of 3 less than 100 is 99, so we can try values of $y$ starting from 1 and working up to 33 (because if $y\geq34$, then $5x\leq0$, which is not positive).
When $y=1$, we get $x=\frac{100-3}{5} = 19.4$, which is not an integer.
When $y=2$, we get $x=\frac{100-6}{5} = 18.8$, which is also not an integer.
When $y=3$, we get $x=\frac{100-9}{5} = 18.2$, still not an integer.
When $y=4$, we get $x=\frac{100-12}{5} = 17.6$, still not an integer.
When $y=5$, we get $x=\frac{100-15}{5} = 17$, which is an integer.
From here, we can continue to increase $y$ and see that the values of $x$ will only decrease. Thus, the greatest possible value of $x$ is 17 and the corresponding value of $y$ is 5.

Learn more about possible value here, https://brainly.in/question/12676364

#SPJ11

Answer:

29

Step-by-step explanation:

A right angle always equals 90 degrees. Put both equation together to equal 90. Then solve for x like you normally would.

2x + 1 + x + 2 = 90

3x = 90 - 3

3x = 87

87/3x

x = 29