Dustin and Lucas decide to investigate Elle’s claims about the pudding. They obtain a sample of 200 chocolate pudding packs and find that only 72 of them contain more than 3. 25oz of pudding. A. (1 point) Construct a 92% CI for the overall proportion of pudding packs containing less than 3. 25oz of pudding. Make a conclusion at α = 0. 08 about whether these pudding packs truly are normally distributed with a mean of 3. 25oz. Use your confidence interval to justify your claim. B. (1 point) Construct a 99% CI for the overall proportion of pudding packs containing more than 3. 25oz of pudding. Make a conclusion at α = 0. 01 about whether these pudding packs truly are normally distributed with a mean of 3. 25oz. Use your confidence interval to justify your claim

Quantitative variables offer measurable numerical values that can be added to or subtracted from to produce accurate results. Quantitative discrete variables have a finite or countable number of positive values.

Continuous variables are quantitative and have an endless range of uncountable possible values. Discrete and continuous data are both types of quantitative or numerical information. Measurements are often continuous, while counts are typically discrete. Discrete data are counts that can never be more precisely calculated. Usually, this entails integers.

A family's number of children would serve as an illustration. Individuals are complete, indivisible entities, hence this data is discrete. A family does not contain 1.7 or 2.3 children.

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Answer:

The side lengths are 32 units each

Step-by-step explanation:

Given

\(NM= 4x\)

\(KM = 6x - 16\)

Required

The side lengths and missing angles

Since JKMN is as square, then:

\(NM = KM\) -- all sides are equal

\(4x = 6x - 16\)

Collect like terms

\(4x - 6x = - 16\)

\(-2 x = - 16\)

Divide by -2

\(x = 8\)

Substitute \(x = 8\) in \(NM= 4x\)

\(NM = 4 * 8\)

\(NM = 32\)

The missing angles can't be solved without an attachment.

However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)

Answer:

c is the and

no worries thank you to each of the Fourth of that mother you have any other questions please contact me

To get the number of half-lives passed, we divide the time of flight from part a by the length of a half-life, as

given in the statement of the problem:

Number of half lives = 2×10−4

1.5×10−6 ≈ 133

The fraction of remaining muons will decrease by 1/2

every half life, so the fraction after a given number N of

half-lives will be:

1/2 × 1/2 × 1/2

· · · N times · · · × 1/2 = ( 1/2)N .

This makes the fraction remaining equal to 1/2 to the power 133:

fraction remaining = ( 1/2)

133 ≈ 10−40. That’s not very many muons

First-generation quarks are what make up pions, which are mesons with no spin. An anti-down quark and an up quark are described in the quark model. In addition to vector, rho, and omega mesons, the exchange of virtual pions also explains why there is still a strong interaction between nucleons. Pions are typically created in high-energy collisions between hadrons and are not created during radioactive decay. In some matter-antimatter annihilation processes, pions are also produced.

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Note that the full question is:

Ne of the many fundamental particles in nature is the muon mu. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c^2, compared to the electron's mass of just 0.511 MeV/c^2. (We are using E = mc^2 to obtain the mass in units of energy and the speed of light c).Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (nu). We'll ignore the neutrinos throughout this problem.

If the muon is at rest, the characteristic time that it takes it to decay is about 2.2 microseconds. Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects.

Cosmic rays are constantly raining down on the earth from outer space. (Figure 1)The majority of these cosmic rays are protons, and when upper atmosphere, they can convert into particles called pions (), which subsequently decay into muons with a characteristic lifetime of T.

Suppose that a cosmic-ray proton crashes into a nitrogen molecule in the upper atmosphere. 45 km above the earth's surface, producing a pia a muon. Assume that the pion has a velocity of 99.99% the speed of light and decays into a muon, which, owing to kinematics, has a downward velocity of 99.9943% the speed of light.

now let’s consider the effect of time dilation how far would the pion actually travel before decaying?

The margin of error is (31.15, 32.85).

The margin of Error is a statistical expression that is used to determine the percentage point by which the result arrived will differ from the value of the entire population, and it is calculated by dividing the standard deviation of the population by the sample size and lastly multiplying the resultant with the critical factor. A higher error indicates a high chance that the result of the sample reported may not be the true reflection of the whole population. The formula for the margin of error is calculated by multiplying a critical factor (for a certain confidence level) with the population standard deviation. Then the result is divided by the square root of the number of observations in the sample.

Mathematically, it is represented as,

Margin of Error = Z * ơ / √n

Given:

Number of people = n = 16

Mean = μ = $32

Standard deviation = σ = $7

Confidence level = 95%

Thus, the z value would be 1.96.

The confidence interval can be calculated as follows:

Confidence interval = μ ± z(σ/√n)

= 32 ± 1.96 × (7/16)

= 32 ± 0.85

= (31.15, 32.85)

Thus, the margin of error is (31.15, 32.85).

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To determine which method can be used to prove the similarity of the given triangles, use SAS, SSS, and AA.

To determine which method can be used to prove the similarity of the given triangles, let's briefly discuss each method:

a) SAS~ (Side-Angle-Side Similarity): If two sides of a triangle are proportional to two sides of another triangle, and their included angles are congruent, then the triangles are similar.

b) SSS~ (Side-Side-Side Similarity): If all three sides of a triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.

c) AA~ (Angle-Angle Similarity): If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Unfortunately, I cannot see the given triangles in your question, but based on the provided information, you can use these explanations to determine which method (SAS~, SSS~, or AA~) can be used to prove their similarity. If none of these methods apply, then similarity cannot be proved for the triangles.

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Answer:

x=4.5

Step-by-step explanation:

2x-5=4

2x=9

x=4.5

The scale of increase in the drawing to inches in the actual room is 18

A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches

1 feet = 12 inches

Initially the room's length = 15 feet = 15 x 12 = 180 inches

On scale drawing the length = 10 inches

Let the  scale of inc in the drawing to inches in the actual room be k

10 x k = 180

k = 180 / 10 = 18

Initially the room's width = 12 feet = 12 x 12 =144 inches

On scale drawing the width = 8inches

8 x k = 144

k = 18

Therefore,  the  scale of inc in the drawing to inches in the actual room is 18

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Answer:

The answer is 3.

Step-by-step explanation:

Because you should put the gh with gh, 2  is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.

Answer: The given expression is 8g^2h-7gh+2

The degree of 8 g^2 h is 2, 1

The degree of - 7 g h is 1

The degree of 2 is 0

But the degree of expression will the highest degree of the indivisual expression of above i.e 3.

The answer is 3.

The number of solution of given equation 5(x+1)-x=3(x-1)+7 is x=-1.

For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

We are given;

Equation 5(x+1)-x=3(x-1)+7

Now, Let's simplify and solve the given equation;

5(x+1)-x=3(x-1)+7

Distributing the coefficients;

5x + 5 - x = 3x - 3 + 7

4x + 5 = 3x + 4

Subtracting 3x from both the ends;

x + 5 = 4

x = -1

Therefore, the given equation will have only one solution x=-1

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Kendra will need to borrow the total cost of the remaining items minus her $10.00 bill: the difference C - $10.00 to complete the payment.

To determine how much Kendra needs to borrow from one of her friends, we need to find the total cost of the remaining items she ordered. Let's assume the total cost of the remaining items is represented by "C" dollars.

Since Kendra has a $10.00 bill, she can pay $10.00 upfront. To cover the remaining cost of the items, she will need to borrow the difference between the total cost and her available money. Mathematically, this can be represented as:

Amount to borrow = Total cost - $10.00

Amount to borrow = C - $10.00

By knowing the value of "C," we can calculate the exact amount she needs to borrow to pay for the remaining items. The value of "C" will depend on the prices of the items she ordered. If the total cost C is less than $10.00, she won't need to borrow anything as her $10.00 bill will be sufficient to cover the cost.

Otherwise, if the total cost C is greater than $10.00, she will need to borrow the difference C - $10.00 to complete the payment.

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Answer:

completamente respuesta

The surface area of a sphere is given by the formula:

4πr^2

where r is the radius of the sphere. The diameter of Earth is about 7920 miles, so the radius is approximately 3960 miles.

Substituting this value into the formula, we get:

4π(3960)^2 ≈ 197352720 sq miles

About 70% of this area is water, so we can find the amount of water on Earth by multiplying the total surface area by 0.7:

197352720 * 0.7 ≈ 138146904 sq miles

Therefore, about 138,146,904 square miles of Earth's surface is water.

The value of the expression for t will be

t = (C - p)/m

Let p = the phone’s price in dollars

m = the cost of the selected plan in dollars per month

C = Alma’s total cost in dollars after time t, measured in months of service.

Therefore, the equation that expresses C in terms of p, m, and t will be:

C = p + m(t)

To find t will be:

C = p + m(t)

Subtract p from both sides

C - p = m(t)

Divide through by m

t = (C - p)/m

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Answer:

line d

Step-by-step explanation:

my brain

hajsuwyiwhsbs

A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.

Step-by-step explanation:

Sally is paying $55 + $3×10 = $85 currently

if she switches to plan B the she will pay $60 + $2.50×10 = $85

That shows both of the cable plan costs same for monthly payment + 10 premium channels

The estimated mean of the time for completion of race is 220 minutes where as the MAD to the mean ratio is 22.272%.

What is mean?

In statistics, the mean is one of the measures of central tendency. Another two are median and mode. Mean is  the average of the given set of data.

You interviewed a random sample of 25 marathon runners and compiled the following statistics.

Mean time to complete the race = 220 minutes and MAD = 50 minutes.

So from given data it can be concluded that

mean = 220             MAD= 50

Now we find ,

(MAD/Mean ) × 100%

= (50/220)× 100%

= (5×100)/22 %

≈ 22.272%

Hence , the estimated mean of the time for completion of race is 220 minutes where as the MAD to the mean ratio is 22.272%.

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Answer:

2 over 3

Step-by-step explanation:

3 is how many parts there are in total. you have shaded 2 of those parts

Answer:

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Answer:

iii

Step-by-step explanation:

After packaging the cheesecake, approximately 24.3 square inches of the box's base is visible.

The area of a square with a side length of 10 inches is:

A = (side length)^2 = (10 in)^2 = 100 sq in

The area of a circle with diameter 9 inches is:

A = πr^2 = (π/4)(diameter)^2 = (π/4)(9 in)^2 ≈ 63.62 sq in

To find out how much of the box's base is visible after the cheesecake is packaged, we need to subtract the area of the circle from the area of the square:

visible area = area of square - area of circle

≈ 100 sq in - 63.62 sq in

≈ 36.38 sq in

However, we need to round this value to the nearest tenth, since the problem asks for an approximation. Rounding to one decimal place gives us:

visible area ≈ 36.4 sq in

Therefore, after packaging the cheesecake, approximately 24.3 square inches of the box's base is visible.

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Answer:

Here are some tiips: Only the first table represents a linear function. In order to be in linear function, the graph of the function must be a straight line.

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is a polynomial function of degree one or zero.

1) Jay buys a house for $40,000 less than he is willing to pay. He bought a house from a seller who received $2,000 more than he was willing to sell.

4) Kevin wanted to spend $50 on a dishwasher and bought it for $45 from a manufacturer hoping to get $40.

Economic Surplus:

Economic surplus, also known in mainstream economics as general welfare or general public welfare or Marshall's surplus (after Alfred Marshall), is one of two related quantities. Pay.

Producer surplus or producer surplus is the amount a producer receives by selling at a market price higher than the lowest price they are willing to sell. This roughly equals profit margin (because producers are usually unwilling to sell at a loss and are generally uninterested in selling at a break-even price).

Total economic surplus = supplier surplus + consumer surplus

On scenario 1, total economic surplus = $40,000 + $2,000 = $42,000

On scenario 2, total economic surplus = $2.25 + $3 = $5.25

On scenario 3, total economic surplus = $0

On scenario 4, total economic surplus = $5 + $5 = $10

Complete Question:

Select the two situations with the highest total surplus. correct answer(s) jay buys a house for $40,000 less than he was willing to pay. he bought his home from sellers who received $2,000 more than they were willing to sell for. bonnie buys flowers for $2.25 less than she was willing to pay. she bought them from a seller would have been willing to receive $3 less from the sale. don wanted to buy a scooter for no more than $5, but was only able to find a producer who would sell for $15. kevin wanted to spend $50 on a dishwasher and bought one at $45 from a producer who was hoping to receive $40.

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Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Answer:

-1

-Step-by-step explanation:

all solutions r made there...pls like, follow for more answers

The average velocity of a particle moving along the x-axis from time t = 0 to t = 8 is given by the integral of its velocity function v(t) divided by the time interval, which is 8 - 0 = 8. Therefore, the average velocity is ∫v(t) dt / 8.

To find the average velocity of the particle, we need to calculate the integral of the velocity function v(t) over the time interval from t = 0 to t = 8, and then divide it by the time interval. The integral of v(t) represents the displacement of the particle over that time interval.

The average velocity is given by the formula: average velocity = ∫v(t) dt / (8 - 0) = ∫v(t) dt / 8.

In this case, the options provided are:

a(0) Jo "() dt,

8 ∫|v(t)| dt,

2 ∫v(t) dt,

v(0) + v(8).

Out of these options, the correct expression for the average velocity is 2 ∫v(t) dt. This expression represents the integral of the velocity function v(t) over the time interval, divided by the time interval of 8. It accounts for the change in velocity of the particle over time and provides an average value of its velocity during the interval.

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