please ans this statistics question ASAP. tq
Question 2 An experiment in fluidized bed drying system concludes that the grams of solids removed from a material A (y) is thought to be related to the drying time (x). Ten observations obtained from

Answer:

13-17=-4. so -4 degrees F

Step-by-step explanation:

The series ∑n=1[infinity]n!(x−4)n converges for all values of x except x=4.

This is because when x=4, each term in the series becomes n! * 0ⁿ, which equals 0. Therefore, the series fails the nth term test for divergence and does not converge at x=4. For all other values of x, the series converges by the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of a series is less than 1, then the series converges. Applying the ratio test to our series, we get:

| (n+1)! * (x-4ⁿ⁺¹ / n!(x-4)ⁿ | = (n+1) |x-4|

Taking the limit as n approaches infinity, we see that this approaches infinity if |x-4| > 1 and approaches 0 if |x-4| < 1. Therefore, the series converges if |x-4| < 1, which means the values of x that make the series converge are x ∈ (3,5).

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Using the Chain Rule, we aim to find az/as and az/at. Given z = e cos(8), r = st, and the expression ze se ze at = - X X 0 = √58 +18, we need to differentiate z with respect to s and t.

To find az/as and az/at using the Chain Rule, we first express z in terms of s and t by substituting r = st into z. The expression becomes z = e cos(8(s,t)).

To calculate az/as, we differentiate z with respect to s while treating t as a constant. Applying the Chain Rule, we obtain az/as = (d/ds)(e cos(8(s,t))) * (d/ds)(8(s,t)).

Similarly, to calculate az/at, we differentiate z with respect to t while treating s as a constant. Using the Chain Rule, we have az/at = (d/dt)(e cos(8(s,t))) * (d/dt)(8(s,t)).

However, the specific forms of 8(s,t) and its derivatives are not provided, making it impossible to determine the exact values of az/as and az/at. The result will depend on the specific expressions of 8(s,t) and its derivatives with respect to s and t.

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A large t-statistic indicates a greater difference between the sample means and provides stronger evidence for a significant difference between the populations.

The t-statistic is a measure of the difference between two sample means relative to the variability within the samples. When the population means are different, the difference between the sample means will tend to be larger, which will result in a larger numerator in the t-statistic formula. The larger the difference between the sample means, the greater the evidence for a difference between the populations. In contrast, if the population means are similar, the difference between the sample means will be smaller, resulting in a smaller numerator and a weaker test of significance.

The denominator of the t-statistic formula is the standard error of the mean, which measures the variability of sample means around the population mean. If the sample size is large enough, the standard error of the mean will be small, resulting in a smaller denominator and a larger t-statistic. Therefore, when the population means are different, a larger t-statistic would be expected due to a combination of a larger numerator and a smaller denominator.

In summary, If the population means are different, a large t-statistic would be expected.

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The sum of the angles of the triangle in two different ways are x + 1/2x + 3/2x = 180 and  2x + x + 3x = 360

From the question, we have the following parameters that can be used in our computation:

The triangle

The sum of the angles of the triangle is 180

So, we have

x + 1/2x + 3/2x = 180

Multiply through the equation by 2

So, we have

2x + x + 3x = 360

Hence, the equation in two different ways are x + 1/2x + 3/2x = 180 and  2x + x + 3x = 360

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The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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The maximum number of people that could be helped with one plane of supplies is 40,000.

To determine the maximum number of people that can be helped, we need to consider the weight and volume constraints of the plane. Each food kit helps 10 people and weighs 20 pounds, while each medicine kit helps B people and weighs 10 pounds. The weight constraint of the plane is 80,000 pounds, and the volume constraint is 6,000 cubic feet.

To optimize the usage of weight and volume, we need to find the combination of food kits and medicine kits that maximizes the number of people helped. Since each food kit and medicine kit has a weight of 20 pounds and 10 pounds respectively, we can calculate the maximum number of kits based on the weight constraint. The maximum number of food kits is 80,000 pounds / 20 pounds = 4,000 kits. Similarly, the maximum number of medicine kits is 80,000 pounds / 10 pounds = 8,000 kits.

Next, we consider the volume constraint. Since each kit occupies 1 cubic foot of volume, the maximum number of kits based on volume is 6,000 cubic feet.

To determine the maximum number of people helped, we need to find the minimum value between the maximum number of food kits and the maximum number of medicine kits. In this case, the minimum value is 4,000 kits. Therefore, the maximum number of people helped is 4,000 kits * 10 people per kit = 40,000 people.

Thus, the maximum number of people that could be helped with one plane of supplies is 40,000.

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#Complete Question:- During a war, alios sent food and modical kis to help survivors. Each food kit helped 10 people and each medicino kit heiped B peoplo. Each plare could carry no more than e0,000 pounds. Each lood kit weighed 20 pounds and each modicine hit weighed 10 pounds. In addition to the weight constraint on iss cargo, each plane could camy a fotal volume of supples that did not exceed 6000 cubic feet. Each food kit was 1 cubic foot and each modical ki also had a volume of 1 cubic foot. Assume that those heiped by medicine kits were not helped by the food kets and vice verse. What was the maximum number of people that could be helped which one plane of supplies? The maxmum number of peopie that could be heiped was people. (Type a whole number.)

Answer:

One pound cost $0.59

Step-by-step explanation:

or k = $0.59 I think

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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The dimensions of the open top box with a square base of length x and height y are given to construct a box with a volume of v.

The volume of a rectangular box is calculated by multiplying its length, width, and height. In this case, the box has a square base of length x and a height of y. Therefore, the volume of the box is given by the formula V = x^2 * y.

The main answer can be summarized as: The volume of the open top box is V = x^2 * y.

To construct the box with a desired volume v, you need to determine the appropriate values for x and y. Since the base of the box is square, the length of each side of the base is x. The height of the box is y. By adjusting the values of x and y, you can achieve the desired volume v.

To solve for x and y, you can use algebraic techniques or manipulate the formula V = x^2 * y. For example, if you know the values of V and y, you can rearrange the formula to solve for x: x = √(V/y). Conversely, if you know the values of V and x, you can solve for y: y = V/(x^2).

By choosing appropriate values for x and y based on the desired volume v, you can construct the open top box with the specified dimensions to meet the given volume requirement.

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Answer:

x = 3/2; x = -1/2

Step-by-step explanation:

6x² - x - 2 = 0

⇔ 6x² - 4x + 3x - 2 = 0

⇔ (6x² - 4x) + (3x - 2) = 0

⇔ 2x(3x - 2) + (3x - 2) = 0

⇔ (3x - 2)(2x + 1) = 0

⇔\(\left \{ {{3x - 2=0} \atop {2x + 1=0}} \right.\)

⇔\(\left \{ {{3x=2} \atop {2x=-1}} \right.\)

⇔\(\left \{ {{x=2/3} \atop {x=-1/2}} \right.\)

The percentage increase in the price of the notebook is 15%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Finding the increase in the price of the notebook:

$3.80 - $3.30 = $0.50

Dividing the increase by the original amount:

0.50 / 3.30 = 0.1515

To change to a percent multiply by 100 and round off to significant numbers:

0.1515 *100 = 15.15% or, 15%.

Thus, the percentage increase in the price of the notebook is 15%.

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We have determined that the given curve is a circle centered at (-4, 0) with a radius of 4 units. The point A(-4, 4) is a point on the circumference of this circle.

The curve described by the equation x^2 + y^2 + 8x = 0 represents a circle in the coordinate plane. To determine the characteristics of this circle and its relationship with the point A(-4, 4), we can analyze the given information.

The equation can be rewritten as (x^2 + 8x) + y^2 = 0, which further simplifies to (x^2 + 8x + 16) + y^2 = 16. Factoring the left side of the equation gives us (x + 4)^2 + y^2 = 16.

Comparing this equation to the standard form of a circle, (x - h)^2 + (y - k)^2 = r^2, we can identify that the center of the circle is located at the point (-4, 0), and the radius is 4 units. The point A(-4, 4) lies on the circle.

Therefore, we have determined that the given curve is a circle centered at (-4, 0) with a radius of 4 units. The point A(-4, 4) is a point on the circumference of this circle.

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The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

According to the statement

I have 10 starting cards, from Ace to 10, and 4 suits,

and by this way we get the 40 subsets and because of these subsets there is a probability becomes 40.

So, The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

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The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.

P is the total number of permutations, which is equal to 12.

The correct answer is OB, which lists all 12 permutations.

P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.

There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.

Therefore, P2 is equal to 16.

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The statement that m∠C = 130°-m∠B is the correct statement for the triangle ABC whose measure of angle A is 50 degrees.

Given, a triangle ABC in which angle A is 50 degrees and we have to conclude the statement or results that holds true for the measure of angle C. Let's proceed in order to solve the question.

We know that, by angle sum property of triangle the sum of angles of triangle is 180°.

⇒m∠A+m∠B+m∠C = 180°

⇒50°+m∠B+m∠C = 180°

⇒m∠B+m∠C = 180°-50°

⇒m∠B+m∠C = 130°

⇒m∠C = 130°-m∠B

Therefore, the measure of angle C is equal to 130°-m∠B.

Hence, m∠C = 130°-m∠B is the correct statement that can be concluded for a triangle ABC, in which the measure of angle A is 50 degrees.

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Answer:

You stated the question, "Is the experimental probability of pulling a red cube greater than, less than, or equal to the theoretical probability of pulling a red cube?

Step-by-step explanation:

Therefore, this question makes no sense.

The condition that prove that AB = PQ is :

A(2, 2), B (8, 6), P(4, 2), Q (10, 6)

and A(6, 4), B(8, 10), P(6, 2), Q(0, 0) ( Option A and D)

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

d=√((x2 – x1)² + (y2 – y1)²).

for A(2, 2), B (8, 6), P(4, 2), Q (10, 6)

AB = √ 8-2)²+ 6-2)²

= √ 6²+4²

=✓36+16

= ✓ 52

PQ = √10-4)²+ 6-2)²

= √ 6²+4²

=√56

therefore AB = PQ

for ,

A(6, 4), B(8, 10), P(6, 2), Q(0, 0)

AB = √ 8-6)²+10-4)²

= √ 2²+6²

=√ 4+36

= √40

PQ = √ 0-6)²+0-2)²

= √36+4

= √40

therefore PQ = AB

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Answer:

10, 11, 12

Step-by-step explanation:

Answer:

12/5

Step-by-step explanation:

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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The point (16, -99) is not a perfect fit in the linear model, and the slope-intercept equation for the remaining four data points (-8, 9), (-6, -9), (-2, -18), and (8, -63) is y = (-15/2)x + 3; the y-intercept (3) represents the net approval rating for the president when there is no change in the Dow Jones, and the slope (-15/2) indicates that for every 1-point increase in the Dow Jones, the net approval rating is expected to decrease by 7.5 percentage points.

To determine which point is not a perfect fit in the linear model, we need to compute the slopes for each pair of consecutive data points.

The slope of a linear model represents the rate of change between the two variables.

Using the given data points:

Points: -8, -6, -2, 8, 16

Percentage Points: 9, -9, -18, -63, -99

Let's compute the slopes:

Slope between (-8, 9) and (-6, -9):

slope = (change in percentage points) / (change in points)

slope = (-9 - 9) / (-6 - (-8))

slope = -18 / 2

slope = -9

Slope between (-6, -9) and (-2, -18):

slope = (-18 - (-9)) / (-2 - (-6))

slope = -9 / 4.0

slope = -2.25

Slope between (-2, -18) and (8, -63):

slope = (-63 - (-18)) / (8 - (-2))

slope = -45 / 10

slope = -4.5

Slope between (8, -63) and (16, -99):

slope = (-99 - (-63)) / (16 - 8)

slope = -36 / 8

slope = -4.5

The slopes for the first three pairs of points (-9, -2.25, -4.5) match, indicating a consistent linear relationship.

However, the slope between the last two points is -4.5, not -4.25 like the others.

Therefore, the point (16, -99) is not a perfect fit.

Removing the point (16, -99), we have four remaining data points:

(-8, 9), (-6, -9), (-2, -18), and (8, -63).

To find the slope-intercept equation for the linear model that passes through these four points, we can use the formula:

y = mx + b

Using the slope formula with two of the remaining points:

-9 = m(-6) + b

-18 = m(-2) + b

Solving these two equations simultaneously, we find:

m = -9/4

b = 9/2

So the slope-intercept equation for the linear model is:

y = (-9/4)x + 9/2

The practical meaning of the y-intercept (9/2) is that when the previous day's change in the Dow Jones is 0 points, the net approval rating for the president of the United States is expected to be 9/2 percentage points, or 4.5 percentage points.

The practical meaning of the slope (-9/4) is that for every 1-point increase in the previous day's change in the Dow Jones, the net approval rating for the president of the United States is expected to decrease by 9/4 percentage points, or 2.25 percentage points.

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Step-by-step explanation:

hope this helps!! the explanation is in my working. bring the "4" from the "40" (8 x 5) to the top of "1"

Answer:

59

Step-by-step explanation:

To mutlipy a decimal by a whole number, just multiply it like normal

118 x 5 = 590

11.8 has one decimal place so your answer will have one too

59.0 which is the same as 59

Answer:

x=m/2+k , k≠-2

Step-by-step explanation:

2x+kx=m

Factor out x from the expression:

(2+k)x=m

Assume 2+k≠0 and divide both sides of the equation by 2+k:

x=m/2k , 2+k≠0

Rewrite the restriction:

x=m/2+k≠-2

Solution:

x=m/2+k , k≠-2

The value of x in the given expression is x = m / (k+2)

An expression is a mathematical statement containing variables, numerical, and they are related by at least one mathematical operation.

Given an expression, 2x + kx = m

We are asked to rearrange the values and find the value of x.

Therefore,

2x + kx = m

Since, two terms have same variable, therefore, taking x common from both,

x(2+k) = m

x(k+2) = m

Now, transpose (k+2) to right side, we get,

x = m / (k+2)

Hence, we get the value of x as, x = m / (k+2)

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The amount of the investment at the end of 12 years for the following compounding methods when $400 is invested at an interest rate of 5.5% per year will be as follows:

Annual compounding Interest = 5.5%

Investment = $400

Time = 12 years

The formula for annual compounding is,A = P(1 + r / n)^(n * t)  

Where,P = $400

r = 5.5%

= 0.055

n = 1

t = 12 years

Substituting the values in the formula,

A = 400(1 + 0.055 / 1)^(1 * 12)  

A = 400(1.055)^12  

A = $812.85  

Hence, the amount of the investment at the end of 12 years for the annual compounding method will be $812.85.

Rate = 5.5%

Compound Interest = 400 * (1 + 0.055)^12

= $813 (rounded to the nearest cent).  

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Answer:

a) x=1/2

Step-by-step explanation:

Plug In

-3 (1/2) + 1 + 10 (1/2) = 1/2 + 4

:)

The approximation of the definite integral R 43 In (1 + x²)dx using Taylor series is 28.89 (approx).

The definite integral R 43 In (1 + x²)dx can be approximated using Taylor series as shown below:R 43 In (1 + x²)dx = ∫₀⁴³ ln(1 + x²) dx

Since we want to use the Taylor series, let's find the Taylor series of ln(1 + x²) about x = 0.Using the formula for a Taylor series of a function f(x), given by∑n=0∞[f^n(a)/(n!)] (x - a)^nwhere a = 0, we can find the Taylor series of ln(1 + x²) as follows:

ln(1 + x²) = ∑n=0∞ [(-1)^n x^(2n+1)/(2n+1)]

We can approximate the integral using the first two terms of the Taylor series as follows:∫₀⁴³ ln(1 + x²) dx ≈ ∫₀⁴³ [(-1)⁰ x^(2*0+1)/(2*0+1)] dx + ∫₀⁴³ [(-1)¹ x^(2*1+1)/(2*1+1)] dx∫₀⁴³ ln(1 + x²) dx ≈ ∫₀⁴³ x dx - ∫₀⁴³ x³/3 dx∫₀⁴³ ln(1 + x²) dx ≈ [(4³)/2] - [(4³)/3]/3 + [(0)/2] - [(0)/3]/3 = 28.89 (approx)

Therefore, the approximation of the definite integral R 43 In (1 + x²)dx using Taylor series is 28.89 (approx).Answer: 28.89 (approx)

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Answer:

cos ∅ = 15/17

Step-by-step explanation:

hypotenuse² = 15² +8² = 225 + 64 = 289

hypotenuse = √289 = 17

cos ∅ = 15/17 =

Answer: Danny's supermarket

Step-by-step explanation:

Danny's price- 0.75x1.5= $1.12 for 1 liter water bottle

Marta's price- $1.50 for 1.25 liter water bottle

1.12x1.25=1.40, if Danny was selling a 25% bigger bottle(making the bottle size equal to Marta's) it would cost $1.40, the lower price