stimate the average rate of change from x=2 to x=6. enter your estimate as a decimal number (not as a fraction), rounded to one decimal place. average rate of change = ____

Answer:

f(x) = -x^2 is a downward parabola.

Step-by-step explanation:

The f(x) = x^2 graph is a parabola pointing up. Therefore, f(x) = -x^2 is a downward parabola.

Answer: 25 tons

Step-by-step explanation:

there are 2000 lb in one ton

50000lb * (1 ton/2000lb) = 25 tons

Answer:

yes.

Step-by-step explanation:

To solve this problem, all we have to do is replace the x with 8 and solve the equation accordingly. 1/2 times 8 equals 4, and 4 plus 9 is 13, so both sides are equal and we now know that 8 is in fact a solution to this equation.

The cutoff weight for the highest 10% of the weights is 1168.84. The cutoff weight for the lowest 20% of the weights is 1147.12. The cutoff weight for the middle 40% of the weights is between 1151.07 and 1161.07.

Given the model N(1156,89) describing steer weights, the cutoff values for the highest 10%, the lowest 20%, and the middle 40% of the weights are as follows:

a) The highest 10% of the weights:

A normal distribution curve is shown below. To determine the z-value of the highest 10% of weights, we must first find the z-value corresponding to a cumulative area of 0.9. Using a normal distribution table, we can determine that the corresponding z-value is approximately 1.28. As a result, the cutoff weight is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x = 1.28 * 9.43 + 1156

x = 1168.84

Therefore, the cutoff weight for the highest 10% of the weights is 1168.84.

b) The lowest 20% of the weights:

To determine the z-value of the lowest 20% of weights, we must first find the z-value corresponding to a cumulative area of 0.2.Using a normal distribution table, we can determine that the corresponding z-value is approximately -0.84. As a result, the cutoff weight is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x = -0.84 * 9.43 + 1156

x = 1147.12

Therefore, the cutoff weight for the lowest 20% of the weights is 1147.12.

c) The middle 40% of the weights:

We must first determine the z-values for the 30th and 70th percentiles to calculate the cutoff weights for the middle 40% of the weights. Using a normal distribution table, we can determine that the corresponding z-value for a cumulative area of 0.3 is approximately -0.52. As a result, the cutoff weight for the 30th percentile is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x = -0.52 * 9.43 + 1156

x = 1151.07

Using a normal distribution table, we can determine that the corresponding z-value for a cumulative area of 0.7 is approximately 0.52. As a result, the cutoff weight for the 70th percentile is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x= 0.52 * 9.43 + 1156

x = 1161.07

Therefore, the cutoff weight for the middle 40% of the weights is between 1151.07 and 1161.07.

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A

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Answer:

B.) 7.940 ≥ 7.729

Step-by-step explanation:

Not much to explain here other than the fact that all the other options are wrong lol. For reference:

Less than sign: <

Greater than sign: >

Less than or equal to sign: ≤

Greater than or equal to sign: ≥

Equal sign: =

Sometimes the positions will vary based on the numbers' values.

Have a nice day, fam.

Answer:

x=18

Step-by-step explanation:

Answer:

x= 18

Step-by-step explanation:

To solve this equation you have to work backwards

Start by dealing with the numbers that we know:

450 + (28.75 × x) = 967.5

-450                          -450

28.75x = 967.5

(when a number and a letter in mathematics are next to each other they are multiplying)

Now divide to find the value of x:

967.5 ÷ 28.75 = 18

18 is the value of x

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

10 x 10 x 10 x 10

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

Step-by-step explanation:

4) d = 12 cm; r = 12/2 = 6cm ; h = 5 cm

S.A = 2πr(r + h)

      = 2* 3.14 * 6 * (6 + 5)

     = 2 * 3.14 * 6 *11

    = 414.48 cm²

5) d = 8 cm ; r = 8/2 = 4cm ; h = 7cm

S.A = 2πr(r + h)

      = 2 *3.14 * 4 * (4 + 7)

     = 2 * 3.14 * 4 * 11

    = 276.32 cm²

6) r = 4 cm ; h = 6cm

SA = 2πr(r +h)

     = 2 * 3.14 * 4 * 10

     = 251.2 cm²

7) Area of front and back = \(2*\frac{1}{2}*base * height\)

                                         = base  * height

SA = (front and back) + Base + left + right

          = 4* 3 + (8*3) + (8*4) + ( 8*5)

         = 12 + 24 + 32 + 40

         = 108 cm²

8) SA =  (front and back) + Base + left + right

          =  (8 * 6) + (12*6) + (12*8) + (12*10)

         =  48 + 72 + 96 + 120

        = 336 cm²

9) SA =  (front and back) + Base + left + right

          =  (12 *5) + (8*5) + (8*12) +(8*13)

         = 60 + 40 + 96 + 104

          = 300 cm²

A true conditional statement consists of a hypothesis and a conclusion, where the conclusion logically follows from the hypothesis. In order for a conditional statement to be true, both the hypothesis and the conclusion must be true.

Here is an example of a true conditional statement with a correctly identified hypothesis and conclusion:

"If it is raining, then the ground is wet."

Hypothesis: "It is raining."
Conclusion: "The ground is wet."

In this example, the hypothesis is the condition that must be true for the conclusion to be true. If it is indeed raining, then it follows logically that the ground would be wet. Therefore, this conditional statement is true.

It's important to note that not all conditional statements are true. For example, the statement "If it is raining, then the ground is dry" would be false, as it contradicts the logical connection between rain and a wet ground.

In summary, a true conditional statement includes a correctly identified hypothesis and conclusion, where the conclusion logically follows from the hypothesis.

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The angle of elevation of the room is approximately 19.1 degrees.

To determine the angle of elevation of the room, we need to use trigonometry. The angle of elevation is the angle between the horizontal plane and the line of sight from the rover to the room. We can use the tangent function to find this angle:

tan(angle of elevation) = opposite/adjacent

In this case, the opposite side is the vertical distance of 65 meters and the adjacent side is the horizontal distance of 180 meters. So we have:

tan(angle of elevation) = 65/180

To find the angle of elevation, we can take the inverse tangent (or arctan) of both sides:

angle of elevation = arctan(65/180)

Using a calculator, we get:

angle of elevation = 19.1 degrees (rounded to the nearest thousands of degree)

Therefore, the angle of elevation of the room is approximately 19.1 degrees.

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Answer:

m∠AVF = 158°

Step-by-step explanation:

In the diagram attached,

m∠AVD = m∠BVE = m∠CVF = 90°

m∠CVD = 22°

∠AVB = ∠EVF

Since ∠AVD = ∠AVC + ∠CVD

Therefore, 90° = m∠AVC + 22°

m∠AVC = 90° - 22°

             = 68°

Similarly, m∠CVF = m∠CVD + m∠DVF

90° = 22° + m∠DVF

m∠DVF = 68°

m∠AVC = m∠DVF = 68°

Now ∠AVF = ∠AVD + ∠DVF

                  = 90° + 68°

                  = 158°

Answer( 9 trips )

Step-by-step explanation:

44-17=27

27/3=9

basically you take away 17 kilometers she has already cycled from 44 then divide by 3 because each trip is 3 kilometers which equals 9 trips left.

hope this helped :)

Answer:

9 trips

Step-by-step explanation:

44 minus 17 equals 27

Tiana cycles 3 kilometers every trip to work so to travel 27 more kilometers she will need 9 trips

When lines a, b, and c are parallel, we know that the corresponding angles are congruent. This means that if we draw a transversal line that intersects these parallel lines, the angles that are in the same position will have the same measures.

Both proportions are correct and can be used to find the unknown segment lengths in the diagram. It's important to note that these proportions only work when the lines are parallel. If the lines were not parallel, we would not be able to use corresponding angles to set up these proportions.

Using this information, we can set up proportions to find the unknown segment lengths. Let's look at Simon's proportion first:
Segment AD / Segment AC = Segment BD / Segment BC
In this proportion, we are comparing the lengths of two pairs of corresponding segments. We know that segment AD and segment BD are both parts of line segment AB, so we can substitute AB for AD + BD. Similarly, we can substitute AC for BC + AC. This gives us:
AB / AC = BD / B
Now we can cross-multiply to solve for the unknown segment length:

AB x BC = AC x BD
We can use the same process to solve for the unknown segment length in Adara's proportion. Her proportion is:
Segment AC / Segment AB = Segment CB / Segment BD
Using the same substitutions and cross-multiplication, we get:
AB x BD = AC x CB

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Answer:

4,5*16=y

y=72

Step-by-step explanation:

Answer:

........

Step-by-step explanation:

Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

To determine the number of different ways Johnny can improve his meal using condiments, we can use the concept of combinations.

Since Johnny can only make two additions to his meal, we need to find the number of combinations of condiments he can choose from his four options: ketchup, salt, pepper, and shredded cheese.

To calculate the number of combinations, we can use the formula for combinations:
nCr = n! / (r! * (n - r)!)

Where n represents the total number of items and r represents the number of items to be chosen.

In this case, n is 4 (since Johnny has four condiment options) and r is 2 (since Johnny can only make two additions).

Plugging these values into the formula, we get:

4C2 = 4! / (2! * (4 - 2)!)

Simplifying this expression:

4C2 = 4! / (2! * 2!)

The exclamation mark (!) represents the factorial operation, which means multiplying a number by all positive integers less than itself down to 1.

Calculating the factorials:
4! = 4 * 3 * 2 * 1 = 24
2! = 2 * 1 = 2

Substituting these values back into the equation:
4C2 = 24 / (2 * 2)

Simplifying further:
4C2 = 24 / 4

Finally, dividing:
4C2 = 6

Therefore, Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

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Answer:

3 exponent -4 Write your answer as a fraction or whole number without exponents.

3^-4 = 1/(3^4) = 1/(3*3*3*3) = 1/81

Answer:

The variable can be any letter.

Step-by-step explanation:

The value of z is 4.

Given that,

Based on the above information, the calculation is as follows:

4z = 16

z = 4

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Step-by-step explanation:

therefore A is the correct answer

In a fast-food management program, there are 15 qualified applicants for 8 trainee positions. We are supposed to calculate the number of different groups of trainees that can be selected. For this, we can use the formula for combination. In mathematics, a combination is a way of selecting items from a collection, such that the order of selection doesn't matter.

It is represented as n Cr, where n is the total number of items and r is the number of items to be selected. In this problem, we have to select 8 trainees from a total of 15 qualified applicants. Hence, the solution is as follows: Now, we can use the formula for combination, which is as follows:

n Cr = n!/(r!(n-r)!)  where n is the total number of items, and r is the number of items to be selected. In this case, we have 15 items to choose from, and we want to select 8 of them. Hence, we get:  15C8 = 15!/(8!(15-8)!) 15C8 = (15 × 14 × 13 × 12 × 11 × 10 × 9 × 8!)/(8! × 7 × 6 × 5 × 4 × 3 × 2 × 1)15C8 = 6435  Therefore, there are 6,435 different groups of trainees that can be selected from the 15 qualified applicants for 8 trainee positions in a fast-food management program.

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Answer:

4

Step-by-step explanation:

6 time 4 is equall to 24

Answer:

Your answer is: 8

If 2 magazines = $6.00 Then,

4 = $12.00

6 = $18.00

8 = $24.00

Step-by-step explanation:

All you are doing is adding $6.00 every 2 Magazines.

Hope this helped : )

Answer:

The answer is D.

Step-by-step explanation: Because It makes sense.

Step-by-step explanation:

I believe the answer is C.

Answer:

2 pizza wass topped with a pineapple slice

In a case whereby Diane bought a diving board online which cost $419.97 plus 22% shipping and handling the total cost is $512.36.

The concept that will be used is the percentage.

From the question, the cost of the diving board was given as $419.97, and we were told that  22% of the value of the money was used on shipping and handling,

Then the amount that was used on shipping and handling=  22/100 * $419.97 = $92.39.

Then total cost = $92.39 + $419.97 =$512.36

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Answer:

1/2x plus 1/3

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation: