Given t₃=3⁵+3⁴+6+2,find the value of t.​

Answer:

1

Step-by-step explanation:

9 + (-2)^3

We know that (-2)^3 means (-2)*(-2)*(-2)  = -8

9+-8 = 1

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

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In the given public good provision game, player 1's expected payoff for contributing and not contributing depends on player 2's cutoff point (C*₂). When player 1 contributes, their payoff is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. When player 1 does not contribute, their payoff is always 0.

In this public good provision game, player 1's decision to contribute or not contribute depends on their private cost, C₁, and player 2's cutoff point, C*₂. If player 1 contributes, they incur a cost of C₁ but gain access to the public good valued at v dollars. However, if C₁ is greater than or equal to C*₂, player 1's expected payoff for contributing would be 0 since player 2 would not contribute.

On the other hand, if player 1 does not contribute, their expected payoff is always 0, as they neither incur any cost nor receive any benefit from the public good. Therefore, player 1's expected payoff for not contributing is constant, irrespective of the cutoff point.

To determine player 1's expected payoff for contributing, we consider the case when C₁ is less than C*₂. In this scenario, player 2 contributes to the public good, allowing both players to consume it. Player 1's payoff would then be v - C₁, which represents the value of the public good minus their cost of contribution. However, if C₁ is greater than or equal to C*₂, player 1's contribution would be futile, as player 2 would not contribute. In this case, player 1's expected payoff for contributing would be 0, as they would not gain access to the public good.

In summary, player 1's expected payoff for contributing is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. On the other hand, player 1's expected payoff for not contributing is always 0. Therefore, when C₁ is low, player 1 would prefer to contribute, as long as the cost of contribution is less than player 2's cutoff point.

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Answer:

Two rectangles

Step-by-step explanation:

the normal gram cracker can be broken into 4 rectangles so that's what was probably done when THEY split it ( says it in the question) so they can all get two rectangles!

Happy Saint Patricks day!

( Can I get brainlyist?)

In hypothesis testing, the probability of a Type II error (β) is the probability of failing to reject the null hypothesis when it is actually false. Since you always reject the null hypothesis, the probability of committing a Type II error is zero (β = 0).



The probability of a Type II error depends on the specific alternative hypothesis, the sample size, the significance level, and the power of the test. However, in the scenario you described, where the null hypothesis is always rejected, the Type II error probability is inherently zero. This is because a Type II error occurs when we fail to reject the null hypothesis even though it is false, but in this case, we never fail to reject it.

By always rejecting the null hypothesis, you are essentially adopting a stance that any sample evidence is sufficient to reject it. This approach can be considered overly aggressive and disregards the potential for false negatives. Type II errors can occur when the sample evidence is not strong enough to provide convincing support against the null hypothesis, leading to a failure to reject it. However, in this scenario, that possibility is entirely disregarded, resulting in a Type II error probability of zero.

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Answer:

(0-5)=-5

-5-5 = 0

x=0

Step-by-step explanation:

Answer:

\(2\sqrt{2}\) or \(\sqrt{8}\\\)

Step-by-step explanation:

The formula is actually d= \(\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}\). Now first, we have to find points A and C.

Point A is (1,2) and Point C is (-1,0).

Now we have to substitute the values in. That would make it d =\(\sqrt{(-1-1)^{2} + (0-2)^{2}}\).

To simplify the parentheses, it would get to d= \(\sqrt{(-2)^{2}+(-2)^{2} }\).

To simplify the exponents, it would get to d = \(\sqrt{4+4}\).

To simplify the square root, it would get to d = \(\sqrt{8}\).

So the answer is either \(2\sqrt{2}\) or \(\sqrt{8}\\\).

Hope this helped! If not, please let me know!

Answer:

x=14

Step-by-step explanation:

1.) Add 11 to both sides

2.) divide both sides by 3

Answer: First one correct

Step-by-step explanation:

The second one is  

7.5 x 4 = 30 liters for 400km

and the 35 = 35%

and 35% of 7.5 is 2.625

so 30 + 2.625 = 32.625

We are given two functions, f(x) = 4√x and g(x) = x/3, which define a finite region R. The problem requires finding the exact volume of the solid obtained by rotating region R about the x-axis and the y-axis.

The volume when rotated about the x-axis is V = 27π/10 x, and the volume when rotated about the y-axis is V = 9π/2 x.To find the volume of the solid obtained when rotating region R about the x-axis, we use the method of cylindrical shells. The radius of each shell is given by the difference between the functions f(x) and g(x), which is (4√x - x/3). The height of each shell is dx. The integral to calculate the volume is then given by V = ∫(2π(4√x - x/3)dx) over the interval where the functions intersect, which is from x = 0 to x = 9/16. Evaluating this integral gives V = 27π/10 x.

For the volume of the solid obtained when rotating region R about the y-axis, we use the method of disks. The radius of each disk is given by the functions f(x) and g(x). The height of each disk is dy. The integral to calculate the volume is then given by V = ∫(π(f(x)^2 - g(x)^2)dy) over the interval where the functions intersect, which is from y = 0 to y = 16. Simplifying and evaluating this integral gives V = 9π/2 x.

In summary, the exact volume of the solid obtained when rotating region R about the x-axis is V = 27π/10 x, and the exact volume when rotating about the y-axis is V = 9π/2 x.

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Answer:

x = \(11\sqrt{2}\)

y = \(11\sqrt{2}\)

Step-by-step explanation:

the ratio of the sides of a 45 - 45 - 90 triangle is shown at the bottom of this answer.

as you can see, it is x:x:\(x\sqrt{2}\)

The side given is x\(\sqrt{2}\), so you have:

\(x\sqrt{2}=22\)

divide both sides by \(\sqrt{2}\)

x = \(22/\sqrt{2}\)

multiply this by \(\sqrt{2} /\sqrt{2}\)

\(x = 22\sqrt{2}/2\)

\(x=11\sqrt{2}\)

y is also equal so y = \(11\sqrt{2}\)

The probability that a randomly picked fruit will weigh between 470 grams and 539 grams is approximately 33.07%. The lifespan below which 9% of items fall is approximately 1.7 years.

To calculate the probability that a randomly picked fruit will weigh between 470 grams and 539 grams, we need to standardize the values and use the standard normal distribution.

First, we calculate the z-scores for the given weights using the formula:

z = (x - μ) / σ

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

For the lower value of 470 grams:

z1 = (470 - 459) / 25 ≈ 0.44

For the upper value of 539 grams:

z2 = (539 - 459) / 25 ≈ 3.20

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.

The probability of a fruit weighing less than 470 grams (z < 0.44) is the cumulative probability up to z1.

The probability of a fruit weighing less than 539 grams (z < 3.20) is the cumulative probability up to z2.

To find the probability between 470 grams and 539 grams, we subtract the cumulative probability of z1 from the cumulative probability of z2.

P(470 < x < 539) = P(z1 < z < z2)

Now, let's calculate these probabilities:

P(z < 0.44) ≈ 0.6686 (from standard normal distribution table or calculator)

P(z < 3.20) ≈ 0.9993

P(470 < x < 539) ≈ P(z1 < z < z2) ≈ 0.9993 - 0.6686 ≈ 0.3307

Therefore, the probability that a randomly picked fruit will weigh between 470 grams and 539 grams is approximately 0.3307, or 33.07%.

For the second part of the question, to determine the lifespan below which 9% of items fall, we need to find the corresponding z-score.

From the standard normal distribution table or calculator, we find the z-score associated with a cumulative probability of 9%, which is approximately -1.34.

Using the z-score formula and solving for x:

z = (x - μ) / σ

-1.34 = (x - 2.9) / 0.9

Solving for x:

x - 2.9 = -1.34 * 0.9

x - 2.9 ≈ -1.206

x ≈ 2.9 - 1.206 ≈ 1.694

Therefore, the 9% of items with the shortest lifespan will last less than approximately 1.7 years.

Note: It's important to keep in mind that these calculations assume a normal distribution and may vary slightly depending on the specific approximation method used or the degree of precision required.

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Answer:

9.95h + 5 < 125

Step-by-step explanation:

You left out the numbers to solve the question, but I've already encountered this question before, so yeah.

Answer:

Step-by-step explanation:

Neither

The percent of coal with sulfur content exceeding 2.25 is approximately 21.35%. If the target sulfur value is changed to 1.45, the effect on the percent of coal accepted by the utility company will be explained in Step 2.

To determine the percent of coal with sulfur content exceeding 2.25, we need to calculate the z-score for the target sulfur value of 1.65 using the formula:

z = (x - μ) / σ

where x is the target sulfur value, μ is the mean sulfur value, and σ is the standard deviation.

Given that the target sulfur value is 1.65, the standard deviation is 0.617, and assuming the mean sulfur value is 2.25 (as the utility company will not use coal with sulfur content above this value), we can calculate the z-score:

z = (1.65 - 2.25) / 0.617

 ≈ -0.972

Using a standard normal distribution table or calculator, we can find the area to the left of this z-score, which represents the percentage of coal with sulfur content below 2.25. In this case, the area to the left of -0.972 is approximately 0.1667.

To find the percent of coal in the category with sulfur content exceeding 2.25, we subtract the above value from 1 (since the total percentage must add up to 100):

Percent = 1 - 0.1667

       ≈ 0.8333 or 83.33%

Now, if the target sulfur value is changed to 1.45, we repeat the same calculations. Using the new target value, the z-score can be calculated as:

z = (1.45 - 2.25) / 0.617

 ≈ -1.297

Again, finding the area to the left of -1.297 in the standard normal distribution, we obtain approximately 0.0968. Subtracting this value from 1 gives us the new percent of coal in the category with sulfur content exceeding 2.25:

New Percent = 1 - 0.0968

          ≈ 0.9032 or 90.32%

Therefore, changing the target sulfur value to 1.45 increases the percent of coal accepted by the utility company to approximately 90.32%.

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Answer:

50

Step-by-step explanation:

since all angles add up to 180

and since this is a right triangle the square in the corner is 90 degrees

so 40+90+x=180

130+x=180

subtract 130 from both sides

130-130+x=180-130

x=50

Hope that helps :)

Answer:

3.75

Step-by-step explanation:

5 tables every 2 months,then 30 days (30 days in 1 month) / 8 ordes = 3.75

The amount of  bird food in cubic centimeters will fit in the container is

11, 398. 2 cubic centimeters

The formula that is used for calculating the volume of a cylinder is expressed with the equation;

V = π(d/2)²h

Such that the parameters of the given equation are;

Now, substitute the values into the formula, we have;

Volume = 3.14 (22/2)² 30

divide the values

Volume = 3.14(121)30

Now, multiply the values and expand the bracket

Volume = 11, 398. 2 cubic centimeters

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Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.

-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].

The limiting value of the sequence will be the same even if a different value is assigned to x0.

The limiting value of the sequence is determined by the recursive equation xn = √(1996x\(n^{-1}\)). As n grows infinitely large, the value of xn will approach the same limiting value regardless of the initial value assigned to x0. This is because the recursive equation will continue to generate values that are closer and closer to the limiting value, regardless of the starting point.

Therefore in recursive equations, the limiting value of the sequence will be the same even if a different value is assigned to x0.

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The approximate length of the radius, r is 4.51 cm. SO the option 1 is correct.

In the given question we have to find the approximate length of the radius, r.

As given, circle O has a circumference of approximately 28.3 cm.

The calculation of the circle's boundary is referred as the perimeter or circumference of the circle. Although the circumference of the circle determines the space it occupies.

The circumference of a circle is its length when it's actually opened and represented as a single direction. Units like cm or unit m are typically used to measure it.

As we know that the formula of circumference of circle = 2πr

As circumference of circle = 28.3 cm

So 2πr = 28.3 cm

Divide by 2π on both side, we get

r = 14.15/π

π = 3.14

So r = 14.15/3.14

r = 4.51 cm

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The complete question is:

Circle O has a circumference of approximately 28.3 cm.

What is the approximate length of the radius, r?

a. 4.5 cm

b. 9.0 cm

c. 14.2 cm

d. 28.3 cm

The approximate length of the radius, r, is 4.5 cm.

The formula for calculating the radius, r, of a circle is r = C/2π, where C is the circumference of the circle. In order to calculate the approximate length of the radius, we must first calculate the circumference.

Let's assume that the circumference of the circle is 28.3 cm. To calculate the circumference, we can use the formula C = 2πr. We know the circumference and want to solve for the radius, so we can rearrange the formula to solve for r: r = C/2π.

Plugging in our values, we can calculate the approximate length of the radius: r = 28.3 cm/2π = 4.5 cm. Therefore, the approximate length of the radius, r, is 4.5 cm.

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The weight of the solution is 13 1/3 ounces.

Each container can contain 5/12 ounces.

The number of container required can be determined as,

Thus, the requried number of containers is 32.

Answer:

the remainder for both expressions is zero

Step-by-step explanation:

Answer:

mode = 2

Step-by-step explanation:

mode is the most frequently seen number.

median is the average so 5+4+2+2+2+2+1+1+3+2+2+3+3+2+1/15= 2 1/3

Answer:

Median is 2, Mode is 2

Step-by-step explanation:

1,1,1,2,2,2,2,2,2,2,3,3,3,4,5 to get the median you put the number from smallest to large then you x one out on each side until there is only one number left which would be 2

The mode is 2 because it is the most common number (aka it appears the most in the list)

Answer:

38

Step-by-step explanation:

(34+ 18 × q)-(5^q + 7). q=2

34+18×2-(5²+7)

34+18×2-(25+7)

34+18×2-32

34+36-32

38

semoga membantu

Answer:

38

brainliest is appreciated

Step-by-step explanation:

q=2

(34 + 18 . q) - (5^q + 7)

(34 + 18 × 2) - (5^2 + 7)

70 - 32

38

Answer:

 coefficient of x²  

Step-by-step explanation:

Co-efficient of x² says if the parabola is open upward or downward.

If the coefficient of x² is positive, the parabola is open upward.

If the coefficient of x² is negative, the parabola is open downward.

The sample is the randomly selected customers (Option B).

What is sample?

Now, according to the question, a survey is passed to the customers.

Here, the sample is the customers.

Hence, the sample is customers and the correct choice of options is (C).

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Answer:

randomly selected customers n

Step-by-step explanation:

plato 022