-5(-2)=


PLEASE HELP ASAP!!

Answer:

yes 1/6 is a rational number.

For the same sample size, a 90% confidence interval is narrower than a 95% confidence interval is not true. The correct answer is: for the same sample size, a 90% confidence interval is narrower than a 95% confidence interval.

A confidence interval is an estimated range of values that likely contains the true population parameter. A higher confidence level requires a wider interval because the goal is to be more confident that the true parameter falls within the interval. As the confidence level decreases, the interval narrows, meaning it is more precise, but there is less confidence in its accuracy. So, a 90% confidence interval will be narrower than a 95% confidence interval for the same sample size.

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Answer:

3.27272727273

Step-by-step explanation:

you simplify the fraction then you make 8 into 8/1 then you divide and if you want decimal its 3.27272727273

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Answer:

Answer B.

x² + 1

Step-by-step explanation:

x=1

Input x= 1 into x²+1 to get y

(1)²+1 = 2

when x=2

(2)²+1 = 5

when x = 3

(3)² + 1 = 10.

when x=4

(4)² + 1 = 17

Hence Option B

Answer:

60$ is the normal price.

Why:

Because if 45$ is 75%, then 30$ is 50%, 15 is 25%, and 0 is 0%. 50% + 50% = 100%. (That's how I did this one, anyway. This works on any 25%, 50%, or 75% problem.)

Answer:

The domain is all real numbers, and the range is all real

numbers less than or equal to 4.

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined

We are given \(f(x)= -(x+3)(x-1)\)

f(x) is defined for all real values of x since there are no restrictions on the value of x

So,The domain of the function is all real numbers

Range of the function is the set of all values that f takes.

So, Range of given function is all real numbers less than or equal to 4.

Hence The domain is all real numbers, and the range is all real  numbers less than or equal to 4.

The Goldbach's conjecture is true for each of the following even numbers.

(a) 19+5

(b) 43+7

(c) 83+3

(d) 139+5

(e) 199+11

(f) 257+7

One of the most well-known and enduring open questions in number theory and all of mathematics is Goldbach's conjecture. It says that the sum of two prime numbers is the even natural number higher than two.

A. 24 can be expressed as:

   24 = 19 + 5

B. 50 can be expressed as:

    50 = 43 + 7

C. 86 can be expressed as:

    86  = 83 + 3

D. 144 can be expressed as:

    144 = 139 + 5

E. 210 can be expresses as:

    210 = 199 + 11

F. 264 can be expresses as:

  264 = 257 + 7

The Goldbach's conjecture is true for each of the following even numbers.

(a) 19+5

(b) 43+7

(c) 83+3

(d) 139+5

(e) 199+11

(f) 257+7

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I understand that the question you are looking for is:

In 1742, Christian Goldbach conjectured that every even number greater than 2 can be written as the sum of two prime numbers. Many mathematicians have tried to prove or disprove this conjecture without succeeding. Show that Goldbach’s conjecture is true for each of the following even numbers.

a. 24,

b. 50,

c. 86,

d. 144,

e. 210,

f. 264

(a) P(W < 224) is approximately 0.0548, indicating that the probability of a jar having less than 224 grams of coffee is around 5.48%. (b) The value of w such that P(232 < W < w) = 0.75 is approximately 235.37 grams, (c) The value of c such that P(-c < W < c) = 0.95 is approximately 241.8 grams,

(a) To find P(W < 224), we need to calculate the cumulative probability up to 224 using the normal distribution with mean 232 and standard deviation 5. By standardizing the value, we can look up the probability in the standard normal distribution table or use a calculator to find the area under the curve. The standardized value is (224 - 232) / 5 = -1.6. Looking up the probability for z = -1.6 in the standard normal distribution table, we find the corresponding probability to be approximately 0.0548. Therefore, P(W < 224) is approximately 0.0548.

(b) To find the value of w such that P(232 < W < w) = 0.75, we need to find the z-score corresponding to the desired probability. Using the standard normal distribution table or a calculator, we find that the z-score for a cumulative probability of 0.75 is approximately 0.674. We can then solve for the corresponding value of w by setting up the equation (w - 232) / 5 = 0.674 and solving for w. Rearranging the equation, we get w = 0.674 * 5 + 232 = 235.37. Therefore, the value of w such that P(232 < W < w) = 0.75 is approximately 235.37 grams.

(c) To find the value of c such that P(-c < W < c) = 0.95, we need to find the z-score corresponding to a cumulative probability of 0.95. Using the standard normal distribution table or a calculator, we find that the z-score for a cumulative probability of 0.95 is approximately 1.96. We can then solve for the corresponding value of c by setting up the equation (c - 232) / 5 = 1.96 and solving for c. Rearranging the equation, we get c = 1.96 * 5 + 232 = 241.8. Therefore, the value of c such that P(-c < W < c) = 0.95 is approximately 241.8 grams.

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Complete Question:

.Q1. A manufacturer fills jars with coffee. The weight of coffee, W grams, in a jar can be modeled by a normal distribution with a mean of 232 grams and a standard deviation of 5 grams. (a) Find P(W<224). (b) Find the value of w such that P(232 < W d) = 0.75 (d) Find c such that P(-c< W < c) = 0.95

Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

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Answer:

Hi there,

Make Nick's age = x

Caroline's age = x + 12

Mark's age = x - 4

x + (x + 12) + (x - 4)

Remove brackets

x + x + 12 + x - 4 = 44

Collect like terms

3x = 44 - 12 + 4

3x = 36

x = 12

Mark is 8 yrs old

Nick is 12 yrs old

Caroline is 24 yrs old

Youngest is Mark = 8 years old.

Hope this helps :-)

Answer:

Hi there, Youngest is Mark = 8 years old.

Step-by-step explanation:

Make Nick's age = x

Caroline's age = x + 12

Mark's age = x - 4

x + (x + 12) + (x - 4)

Remove brackets

x + x + 12 + x - 4 = 44

Collect like terms

3x = 44 - 12 + 4

3x = 36

x = 12

Mark is 8 yrs old

Nick is 12 yrs old

Caroline is 24 yrs old

Youngest is Mark = 8 years old.

Hope this helps :-

\(\huge\boxed{0}\)

Any value minus itself will always be \(0\). This means that no matter what the value of \(v\) is, \(6v-6v=\boxed{0}\).

To dilute 40 quarts of 5% acid solution to a 2% solution, you need to add x quarts of water. To find x, we can use the following formula: Initial amount of acid × initial concentration = final amount of acid × final concentration We know the initial amount of acid is 5% of 40 quarts, which is 2 quarts.

So the formula becomes: 2 quarts × 5% = (40 + x) / 50 quarts × 2%Now we can solve for x:2 × 40 × 5% = (40 + x) / 50 × 2%400% / 2% = 40 + xx = 400 - 40x = 360 quarts Therefore, you need to add 360 quarts of water to 40 quarts of 5% acid solution to dilute it to a 2% solution.

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There will be 10 confidence intervals obtained in a Tukey multiple comparison of 5 populations.

In a Tukey multiple comparison, the confidence intervals are constructed to compare the means of all pairs of groups. To calculate the number of confidence intervals, we use the following formula:

C = n(n-1)/2

Where C is the number of confidence intervals, and n is the number of groups. In this case, there are five populations being compared, so n=5. Plugging this into the formula, we get:

C = 5(5-1)/2 = 10

Each confidence interval will provide information about the difference between the means of two groups, with a certain level of confidence. These confidence intervals can be used to identify which pairs of groups have significantly different means.

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Answer:

Step-by-step explanation:

We can solve this problem using the binomial distribution. Let's define a "success" as selecting a passenger who is listening to music.

The probability of success is p = 1/3, since one-third of the passengers are listening to music.

The probability of failure is q = 1 - p = 2/3, since two-thirds of the passengers are not listening to music.

We want to find the probability of selecting exactly three passengers who are listening to music, which can be represented as P(X = 3), where X is the number of passengers selected who are listening to music.

Using the binomial probability formula, we have:

P(X = 3) = (5 choose 3) * (1/3)^3 * (2/3)^2

where (5 choose 3) = 5! / (3! * 2!) = 10 is the number of ways to choose 3 passengers out of 5.

Plugging in the values, we get:

P(X = 3) = 10 * (1/3)^3 * (2/3)^2

= 0.13169 (rounded to 5 decimal places)

Therefore, the probability that exactly three passengers are listening to music is approximately 0.13169.

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Answer:

The answer is - 5

Step-by-step explanation:

3+-8=-5

Answer:

-5

Step-by-step explanation: because i know that answer hope i helped!

Answer:

I dont quite understand the question

In the give diagram, the value of f is 6.0

From the question, we are to determine the value of f

Using the law of sines, we can write that

\(\frac{f}{sinF} =\frac{e}{sinE}\)

From the given information,

F = 27°

e = 13

E = 98°

Putting the parameters into the equation, we get

\(\frac{f}{sin(27)} =\frac{13}{sin(98)}\)

\(\frac{f}{0.4540} =\frac{13}{0.9903}\)

\(f=\frac{13 \times 0.4540}{0.9903}\)

f = 5.9598

f ≅ 6.0

Hence, the value of f is 6.0

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Answer: y = 2x-2 / you pass the y-intercept -2 and go up by 2/1

Step-by-step explanation:

The correct option is D as explained below.

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:

α = 360/n

Set of ordered pairs for the polygon, the polygon can be shown as follows:

Start at the point (1.5, -4.5).

given a line segment to the point (-4, -4.5).

given another line segment to the point (-4, 2).

given a final line segment to the point (1.5, 2) to complete the polygon.

Therefore, The resulting shape will be a rectangle with two shorter sides of length 5.5 units and two longer sides of length 6.5 units. So the correct option is D

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Answer:

7

Step-by-step explanation:

Your question is incomplete. Please read below to find the missing content.

Using the exponential distribution, it is found that:

a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

d) The 90th percentile is of 230,259 hours.

In probability theory and records, the exponential distribution is a non-stop possibility distribution that frequently issues the quantity of time till a few specific events happen. It is a method wherein activities show up continuously and independently at a regular common rate.

As an instance, the amount of time (starting now) until an earthquake occurs has an exponential distribution. Different examples consist of the duration, in mins, of long-distance enterprise phone calls, and the quantity of time, in months, a car battery lasts.

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:

a. Fails in less than 10,000 hours.

b. Lasts more than 120,000 hours.

c. Fails between 60,000 and 100,000 hours of use.

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

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Solution :

0.9

0.3012

0.1809

230258.

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

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Answer:

8

Step-by-step explanation:

8-15=-7

-7/7=-1

a) Relationship between corresponding sides: the corresponding sides are parallel and have a ratio of k in length.

b) Relationship between corresponding sides' orientations: The corresponding sides will still be parallel to the original sides.

c) Relationship between corresponding angles:the corresponding angles are congruent.

What do you mean by congruent angles?

Congruent angles are angles that have the same measure or size. In other words, if two angles have the same number of degrees or radians, they are said to be congruent. When we say that two angles are congruent, it means that they are exactly the same shape and size, and they can be superimposed on each other without any rotation or scaling. Congruent angles play an important role in geometry, as they allow us to prove that two figures are similar or congruent.

To apply a dilation with scale factor k centered at the origin, we multiply the coordinates of each vertex by k. So, to find the coordinates of A', B', and C', we will multiply the coordinates of A, B, and C by the scale factor.

a) The relationship between corresponding sides in terms of their lengths:

Let's denote the scale factor by k. The distance between two points (x1, y1) and (x2, y2) is given by the distance formula, which is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

When we multiply each coordinate by k, the distance between the two points is multiplied by k as well. So, if AB has length dAB and A'B' has length dA'B', we have:

dA'B' = k * dAB

Similarly, we can find the relationship between the lengths of BC and B'C', as well as between the lengths of AC and A'C'.

b) The relationship between corresponding sides in terms of their orientations:

The orientation of a line is given by its slope. If two lines have the same slope, they are parallel or collinear. If they have slopes that are negative reciprocals of each other, they are perpendicular. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. So, if the slope of AB is mAB and the slope of A'B' is mA'B', we have:

mA'B' = k * mAB

We can use this to find the relationship between the slopes of BC and B'C', as well as between the slopes of AC and A'C'.

c) The relationship between corresponding angles in terms of their measures:

The measure of an angle is determined by the slope of the line that contains the angle. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. This means that the measure of any angle that includes the origin is unchanged by the dilation. However, the measure of any angle that does not include the origin is multiplied by a factor of k. So, if angle ABC has measure x and angle A'B'C' has measure y, we have:

y = k * x

We can use this to find the relationship between the measures of angles BAC and B'A'C', as well as between the measures of angles CBA and C'B'A'.

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Answer:

(- 3, 2 )

Step-by-step explanation:

Given the 2 equations

x + 3y = 3 → (1)

- 2x + 3y = 12 → (2)

Subtract (1 ) from (2) term by term to eliminate y

- 2x - x + (3y - 3y) = 12 - 3

- 3x = 9 ( divide both sides by - 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and solve for y

Substituting into (1)

- 3 + 3y = 3 ( add 3 to both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (- 3, 2 )

The given linear regression model means that 90% of the variation in long jump distances is explained by the regression line. (Option C)

Linear regression refers to a basic and commonly used form of predictive analysis. It is used to determine the relationship between two quantitative variables. It is used to determine the strength of the relationship between two variables and the value of the dependent variable at a certain value of the independent variable. Regression models describe the relationship between variables by fitting a line to the observed data. Linear regression models use a straight line, while logistic and nonlinear regression models use a curved line. The regression model illustrates how a dependent variable changes as the independent variable(s) change.  The given linear regression model r2= 0.90, where r2 gives the proportion of the variation in the long jump explained by the change in years, the model means that 90% of the variation in long jump distances is explained by the regression line.

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The linear function that has f(0) = 3 and f(1) = 5 will be f(x) = 5x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The function is a linear function which is given as,

f(x) = mx + c

The value of the function at x = 0 is 3, then we have

f(0) = m × 0 + c

3 = c

Then the equation is given as,

g(x) = mx

The value of the function at x = 1 is 5, then we have

f(1) = m × 1

5 = m

The linear function that has f(0) = 3 and f(1) = 5 will be f(x) = 5x.

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