(b) If f(x + 7) = f(x) + f(7), x = R, prove that : (ii) f(7) = -f(7)​

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

To convert a mass value from grams to nanograms, we need to multiply the given value by a conversion factor. In this case, we can convert 0.00000000572 grams to nanograms by multiplying it by 1,000,000,000.

To convert grams to nanograms, we use the conversion factor that 1 gram is equal to 1,000,000,000 nanograms. Therefore, to convert the mass of 0.00000000572 grams to nanograms, we multiply it by the conversion factor:

0.00000000572 g × 1,000,000,000 ng/g = 5.72 ng

Hence, the mass of 0.00000000572 grams is equivalent to 5.72 nanograms.

Learn more about conversion factor here: brainly.com/question/30640854

#SPJ11

To convert a mass of 0.00000000572 g to ng (nanograms), we can multiply the given mass by a conversion factor.

The prefix "nano-" represents a factor of 10^-9. Therefore, to convert grams to nanograms, we need to multiply the given mass by 10^9.

0.00000000572 g × 10^9 ng/g = 5.72 ng

By multiplying the mass in grams by the conversion factor, we find that the mass of 0.00000000572 g is equivalent to 5.72 ng.

Learn more about conversion factor here: brainly.com/question/30640854

#SPJ11

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

or

\(\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ\)

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A similar question is attached and is solved.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, isosceles, equilateral and right angled triangle.

A right angled triangle is a triangle with one angle equal to 90 degrees. The longest side of a right angled triangle is known as the hypotenuse. Trigonometric identities is used to show the relationship between the angles and sides of a right angled triangle, i.e.:

sinθ = opposite/hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image:

let the distance from jack to the base of the building be x, hence:

tan60 = x / 60

x = 60 * tan60 = 104 ft.

A pony walks approximately 78.4 feet to complete one trip around the circular pony ride.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle or the distance around the circle is expressed mathematically as;

C = 2πr or C = πd

Where r is radius, d is diameter and π is constant pi ( π = 3.14 ).

The distance traveled by a pony to complete one trip around the circle is equal to the circumference of the circle.

Given that the diameter of the circle is 25 feet, we can calculate the circumference using the above formula as follows:

C = πd

C = 3.14 × 25 feet

C = 78.5 feet.

Therefore, the measure of the circumference is approximately 78.5 feet.

Learn more about circles here: brainly.com/question/11952845

#SPJ1

Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Step-by-step explanation:

EDGE2021

3(2x–7)=5–(1–x)

6x-21 = 5 - 1 + x

subtract x from both sides

5x - 21 = 5-1

combine like terms

5x - 21 = 4

add 21 to both sides

5x = 25

divide both sides by 5

x = 5

Answer:

Hope it helps u, any questions u may ask me

x=70 [alternate interior angles]

y=60 [alternate interior angles]

a=110 [By linear pair]

b=120 [By linear pair]

Answer:

0.625

Step-by-step explanation:

To solve the problem, we merely just divide the rates by each other. Ratios are just the fractions of two terms, after all.

Therefore, the answer would be 5/8, or 0.625.

To verify, we can use the other values given in your question.

10/16 is also an answer, but when you simplify, you get 5/8, which gives the same answer- 0.625.

You can do the same with the other ratios given.

15/24 simplified is 5/8, which, once again, is 0.625.

Thus, I can say with certainty that the answer is 0.625.

Hey there!! I just did this assessment (I got them all correct) the correct answer was 1.6

I hope this helps!

( please don't just skip because I don't have an explanation. pwease!)

(This is correct!!!!!!!!!!!!!!!!!!!!!)

1. The Butler-Volmer equation is an empirical equation used to describe electrochemical reaction kinetics at the electrode-electrolyte interface. 2. An example equation using the Butler-Volmer equation with values would depend on the specific electrochemical system and reaction being studied.

3. A report on the Butler-Volmer equation would typically involve an analysis of electrochemical reactions.

1. The Butler-Volmer equation is an empirical equation used to describe the kinetics of electrochemical reactions occurring at an electrode-electrolyte interface. It relates the rate of electrochemical reactions to the electrode potential and the concentrations of reactants in the electrolyte. The equation considers both the forward and backward reaction rates, taking into account the activation energy and the transfer of charge between the electrode and the electrolyte.

2. The general form of the Butler-Volmer equation is given as:

i = i₀[exp((αₐFη)/(RT)) - exp((-αᵦFη)/(RT))]

where:

i is the current density,

i₀ is the exchange current density,

αₐ and αᵦ are the anodic and cathodic charge transfer coefficients, respectively,

F is the Faraday's constant,

η is the overpotential (the difference between the electrode potential and the thermodynamic equilibrium potential),

R is the gas constant,

T is the temperature.

An example equation using the Butler-Volmer equation with values would depend on the specific electrochemical system and reaction being studied.

3. A report on the Butler-Volmer equation would typically involve an analysis of electrochemical reactions and their kinetics at the electrode-electrolyte interface. The report may include a theoretical background on the Butler-Volmer equation, its derivation, and its applications. It would also discuss experimental methods used to determine the parameters in the equation, such as the exchange current density and charge transfer coefficients. The report may present experimental data, discuss the limitations and assumptions of the equation, and compare the results with theoretical predictions.

learn more about Butler-Volmer equation here:

https://brainly.com/question/33421351

#SPJ11

The people are moving apart at a rate of 500.02 feet per 15 minutes, which is approximately 33.34 feet per minute. Hence, the rate at which the people are moving apart 15 minutes after the woman starts walking is 33.34 feet per minute.

A man and a woman start walking in opposite directions from two different points. The man starts 4 feet north of a point P, while the woman starts 500 feet due east of P. The man started walking 5 minutes before the woman. To solve the problem, the Pythagorean theorem is used.

By applying the Pythagorean theorem, a diagram is drawn, and the following distances are assumed: The man is 4 feet away from point P, and the woman is 5 feet away from the point 500 feet east of P. The total time elapsed is 15 minutes, with the man walking for 20 minutes (since he started 5 minutes earlier than the woman).

Using the formula distance = speed x time, the distances traveled by the man and the woman are calculated. The man's speed is 4 feet per minute, and the woman's speed is 5 feet per minute. The man travels a distance of 80 feet, and the woman travels a distance of 75 feet.

Applying the Pythagorean theorem again, the distance between the man and the woman is found. It is calculated as the square root of [(500 feet)^2 + (80 feet - 75 feet)^2], resulting in a distance of 500.02 feet.

To know more about Pythagorean theorem Visit:

https://brainly.com/question/14930619

#SPJ11

Answer:

E. 360

Step-by-step explanation:

We have two boxes of 6in by 6in,

and 4 with 12in by 6in, so we just multiply to find the area and add them up

6 x 6 = 36 x 2 = 72

12 x 6 = 72 x 4 = 288,

add them up and we get 360.

(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥

Answer:

E

Step-by-step explanation:

6*6= 36

There are two of these squares so 72

12*6= 72

there are four of these rectangles so 288

soooo......288+72= 360

so E

Answer:

the last one

Step-by-step explanation:

The game to be fair, the player should win 60.

In order to determine the fair winnings for this game, we need to calculate the probability of winning and then set it equal to the cost of playing the game.
Step 1: Calculate the probability of winning.
There are two scenarios for winning:
1. First roll is even, and the second roll matches the first.
2. The probability of rolling an even number on a six-sided die is 3/6 or 1/2, since there are three even numbers (2, 4, and 6).
Step 2: Calculate the probability of the second roll matching the first roll.
Since there are 6 sides to the die, the probability of the second roll matching the first is 1/6.
Step 3: Calculate the combined probability of both events.
To find the combined probability of both events, multiply the probabilities: (1/2) × (1/6) = 1/12. So the probability of winning is 1/12.
Step 4: Set up an equation to determine fair winnings.
Let x be the fair winnings for the game. The cost of playing the game is $5. In order for the game to be fair, the expected value (probability of winning multiplied by the winnings) should equal the cost of playing the game:
(1/12) × x = 5
Step 5: Solve the equation for x.
To solve for x, multiply both sides of the equation by 12:
x = 5 × 12
x = 60
for such more question on  probability

https://brainly.com/question/24756209

#SPJ11

Answer:

40

Step-by-step explanation:

I hope you know the basics of algebra.

Divide becomes multiply. Add becomes subtract...

Answer:

= 16m² - 9

Step-by-step explanation:

(4m+3)(4m-3)

= 4m*4m + 4m*3 + 3*4m + 3*-3

= 16m² + 12m -12m - 9

= 16m² - 9

To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.

a. Probability that X > 85:

To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.

First, let's calculate the z-score:

z = (X - μ) / σ

z = (85 - 100) / 10

z = -15 / 10

z = -1.5

Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.

Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).

b. Probability that X < 80:

Similarly, we'll calculate the z-score for X = 80:

z = (X - μ) / σ

z = (80 - 100) / 10

z = -20 / 10

z = -2

Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.

Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).

c. Probability that X < 90 or X > 130:

To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.

For X < 90:

z = (90 - 100) / 10

z = -10 / 10

z = -1

Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.

For X > 130:

z = (130 - 100) / 10

z = 30 / 10

z = 3

Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.

Since these events are mutually exclusive, we can add their probabilities:

P(X < 90 or X > 130) = P(X < 90) + P(X > 130)

P(X < 90 or X > 130) = 0.1587 + 0.0013

P(X < 90 or X > 130) = 0.1600

Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).

d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?

To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.

For the left tail:

z = invNorm(0.005)

z ≈ -2.576

For the right tail:

z = invNorm(0.995)

z ≈ 2.576

Now we can find the corresponding X-values:

X1 = μ + z1 * σ

X1 = 100 + (-2.576) * 10

X1 = 100 - 25.76

X1 ≈ 74.24

X2 = μ + z2 * σ

X2 = 100 + 2.576 * 10

X2 = 100 + 25.76

X2 ≈ 125.76

Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).

To learn more about probability : brainly.com/question/31828911

#SPJ11

The height of the tower is x(tan α - tan β)/(tan α - tan β + a).

The height of the tower can be found using basic trigonometry. Let 'h' be the height of the tower, and 'x' be the distance from the point on the ground to the base of the tower.

From the given information, we have two right triangles - one with angle of elevation α and base 'x', and the other with angle of elevation β and base 'x-a'. Using the tangent function, we can write:

tan α = h/x

tan β = h/(x-a)

Solving these two equations for 'h', we get:

h = x(tan α - tan β)/(tan α - tan β + a)

Therefore, the height of the tower is x(tan α - tan β)/(tan α - tan β + a).

For more questions like Tower click the link below:

https://brainly.com/question/14164544?

#SPJ11

Answer:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

Answer:

+3.16i, -3.16i

Step-by-step explanation:

This has complex roots.

ax² + bx + c = 0

a = 1

b = 0

c = 10

Roots:  +3.16i, -3.16i

The outcome of this question is determined by the number of alternative possibilities and their probability.

If there are only two conceivable outcomes, one of which is success and one of which is a failure, the theoretical chance of success is 50%. The theoretical probability of success is the sum of the probabilities of the two successful outcomes if there are three alternative outcomes.

If you know anything about probability, you're undoubtedly aware that the theoretical likelihood of any given result occurring in a given circumstance is always the same. Finally, the theoretical likelihood that any of the outcomes will be successful if a circumstance is repeated is the sum of the probabilities of each successful outcome divided by the entire number of alternatives.

Learn more about probability here:

https://brainly.com/question/13604758

The correct question is-

What is the theoretical probability that any one of the outcomes will be a success if a situation is repeated again and again?

#SPJ4

Answer: X=22

Step-by-step explanation:

Step-by-step explanation:

-2 = 0.75

-1 = 1.5

0 = 3

1 = 6

2 = 12

It step 3 I got The same question on khan academy

Answer:

60 feet of wood :)

Step-by-step explanation:

I looked it up

Answer:

60 feet of wood

Answer:

D) (8,-22)

Step-by-step explanation:

I used my graphing calculator.

Answer:

D

Step-by-step explanation:

Performing an analysis of variance (ANOVA) will help determine if there are significant differences in confidence in the U.S. executive branch between different temporal cohorts.

To conduct the ANOVA, follow these steps: Identify the temporal cohorts: Determine the different groups or cohorts that you want to compare. For example, you might have different cohorts based on years, such as 2010-2015, 2016-2020, and 2021-present. Gather the data: Collect data on confidence levels in the U.S. executive branch for each temporal cohort. The data should be coded in a way that allows for comparison, such as using numerical values or categories.Calculate the means: Calculate the mean confidence level for each temporal cohort. This will give you an initial idea of the differences between the groups.

Perform the ANOVA: Use statistical software or an ANOVA calculator to conduct the analysis. The ANOVA will determine if there are significant differences in confidence levels between the temporal cohorts.Interpret the results: Look at the p-value from the ANOVA output. If the p-value is less than the chosen significance level (e.g., 0.05), it indicates that there are significant differences in confidence levels between the temporal cohorts. In this case, you can proceed with further post-hoc tests to identify which specific groups differ from each other.

To know more about variance, visit:

https://brainly.com/question/16269880

#SPJ11

Answer:

12

Step-by-step explanation:

The clerk sold three pieces of ribbon to different customers. The lengths of the ribbons were 3 yards, 9 yards, and 20 yards. To find the total length of the ribbon sold, we need to add the lengths of the three pieces together.

First, let's add the lengths of the ribbons:

3 yards + 9 yards + 20 yards = 32 yards.

Therefore, the total length of the ribbon sold is 32 yards.

To explain this in simpler terms, imagine you have three ribbons, one that is 3 yards long, another that is 9 yards long, and a third that is 20 yards long. If you add up the lengths of all three ribbons, you will get a total of 32 yards.

In summary, the clerk sold a total of 32 yards of ribbon, combining the lengths of the three pieces.

To know more about customers here

https://brainly.com/question/33030308

#SPJ11

Answer:

\(x = 246.9\: \\ and \: \\ y \: = 375.5\)

Step-by-step explanation:

\(according \: to \: the \: above \: statement : \\ \frac{x + 40}{y + 40} = \: \frac{15}{22} \: and \: \frac{x - 100}{y + 100} = \: \frac{8}{15}\)

\(make\:(y) \: the \: subject \: of \: the \: relation \\ \: in \: eq....(1) : \\ y \: = \frac{22x + 200}{15} ....eq(3)\)

\(make\:(x) \: the \: subject \: of \: the \: relation \\ \: in \: eq....(2) : \\ x \: = \frac{8y + 700}{15} ....eq(4)\)

\(to \: find \: x \: substitute \: the \: value \: of \: y \\ in \: eq....(4) \: then\)

\( x \: = \frac{8( \frac{22x \: + 200}{15} ) + 700}{15} = \frac{( \frac{176x \: + 1600}{15} ) + 700}{15} = \\ \frac{( {176x \: + 1600}{} ) +(15 \times 700)}{15} \div 15= \frac{(176x \: + 12,100)}{15} \times \frac{1}{15} \)

\(so \: 225x - 176x \: = 12,100 \\ x = 246.93877551. \: and \: y \: = 375.51020408\)

note: if any of the above answers are not right, then gradually go through it. cos the equation are 100% right, but its possible for error during calculation.