A statistics class weighed 20 bags of grapes purchased from the store. The bags are advertised to contain 16 ounces, on average. The class calculated the 90% confidence interval for the true mean weight of bags of grapes from this store to be (15. 875, 16. 595) ounces. What is the sample mean weight of grapes, and what is the margin of error?



The sample mean weight is 15. 875 ounces, and the margin of error is 16. 595 ounces.


The sample mean weight is 16. 235 ounces, and the margin of error is 0. 360 ounces.


The sample mean weight is 16. 235 ounces, and the margin of error is 0. 720 ounces.


The sample mean weight is 16 ounces, and the margin of error is 0. 720 ounces

Answer:

The inequality is given as:

5x + 4y ≤ 50

Step-by-step explanation:

Let the number of

Chocolate pies = x

Apple pies = y

He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.

Hence:

$5 × x + $4 × y ≤ $50

The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:

5x + 4y ≤ 50

The requried volume of the cone is 182 cubic inches.

The area of the base of the cylinder is given by:

\(A_{cylinder} = \pi r^2\)

where r is the radius of the cylinder. We know that the area of the base is 39 square inches, so we can write:

\(\pi r^2 = 39\)

Solving for r, we get:

r = √(39/π)

The height of the cylinder is given as 14 inches. Therefore, the volume of the cylinder is:

\(A_{cylinder} = \pi r^2\\ A_{cylinder}= \pi (39/ \pi )(14)\\ A_{cylinder}= 546 \ \ \ cubic inches.\)

Similarly,

The volume of the cone (\(V=1/3 \pi r^2h\)) is 182 cubic inches.

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Answer:

16.2 feet!

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32

Answer:

-8

Step-by-step explanation:

A clockwise rotation 90° about the origin followed by a translation

2 units to the right and 6 units down produces Δ X'Y'Z' from Δ XYZ

There are four types of transformations: reflection, rotation, translation, and dilation.

Translation, rotation, reflection, and dilation are the four primary categories of transformation.

* Let's update the translation and rotation.

If the point (x, y) rotated.

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Answer:clockwise rotation 90

translation is 2 units

Step-by-step explanation:

From the above given options by using app is more accurate and reliable so option b is correct

The question is incomplete the options are not given the options are:

a. Marcus should ask each of his classmates to write down on a piece of paper how many hours of sleep they get per night and hand the paper to him.

b. Marcus should have them download an app that tracks their phone geolocation and activity so he can see when their phones are in their rooms and not being used. From this data he can figure out how long each student sleeps.

given that

Marcus wants to learn about the sleeping habits of students in his class.

Marcus wants to collect data from his classmates to learn how many hours of sleep his classmates get.

He then wants to process this data with a computer and visualize it in a Histogram

survey can be done in different ways:

1. by asking question

2. survey

3. observation

From the above given options by using app is more accurate and reliable so option b is correct

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Given:

The number of times coin flipped is N = 60.

The number of heads is n(H) = 42.

The number of tails is n(T) = 18.

The objective is to find the theoretical probability of coin landing heads up.

Explanation:

The general probability of coin landing heads is,

On plugging the given values in equation (1),

To obtain the percentage of probability,

Hence, the probability of the coin landing heads up is 70%.

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answer:

it says download docx so download it first and start typing

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994

Answer:

994

Step-by-step explanation:

PEDMAS

Do the math inside the parentheses first

8+2 = 10         Now do the exponent    10^3 = 1000   Now subtract 6  = 994

If i just knew the answer i would tell you buti dont know sorrry

Answer:

1. A. 9

B. - 51

2. A. (-3,2)

B. (5,-2)

3. A. (11,-3) B. (11,1) C. They have the same x

                              1000/2000 will be 0.5 :)

\(\\ \sf\longmapsto \dfrac{1000}{2000}\)

\(\\ \sf\longmapsto \dfrac{100}{200}\)

\(\\ \sf\longmapsto \dfrac{10}{20}\)

\(\\ \sf\longmapsto \dfrac{1}{2}\)

\(\\ \sf\longmapsto 0.5\)

Answer:

-30C -  -5.56C

Answer:

(3, -2)

Step-by-step explanation:

The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5.  We add 5 to -2, obtaining 3 units.

The y-coordinate of the midpoint is found similarly.  The vertical distance between the two given points is 1 - (-5), or 6 units.  Half of that is 3 units.  Adding 3 units to -5 yields -2.

The midpoint is (3, -2).

Thus, the coordinates of the midpoint at (-7, 6)

In the 7th year, you would be making $24,000 more than your starting salary from the job offer.

To calculate how much more than your starting salary you would be making in the 7th year after receiving a $4,000 raise for each of the next 6 years, follow these steps:
1. Determine the total raises you will receive in 6 years: $4,000 raise per year * 6 years = $24,000 total raise.
2. Subtract your starting salary from your 7th-year salary to get  the difference: (starting salary + $24,000) - starting salary = $24,000.
In the 7th year, you would be making $24,000 more than your starting salary from the job offer.

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Answer:

The answer is D!! Trust me I have took this quiz and got it right.

Step-by-step explanation:

Have a good time on your test!

Answer:

The answer is B! trust me

Step-by-step explanation:

Any ordered arrangement of a given set of objects is called a permutation. Permutations are used in various fields, including mathematics, statistics, computer science, and cryptography.

Permutations are essentially different ways of arranging objects, and they depend on the number of objects to be arranged and the order in which they are arranged. In a permutation, the order of objects matters, and the same set of objects can have different permutations. The number of permutations of a set of n distinct objects can be calculated by multiplying n by all positive integers less than n.

This is denoted by n!, which is read as n factorial. For example, the number of permutations of the set {1, 2, 3} is 3! = 3 × 2 × 1 = 6. Permutations are important in probability theory, where they are used to calculate the number of possible outcomes of an event.

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Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

The vector equation for the line segment joining points P(3.5, -1.6, 2.1) and Q(1.8, 0.3, 2.1) is R(T) = (3.5 - 1.7t)i + (-1.6 + 3.9t)j + 2.1k. The parametric equations for the line segment are:

X(T) = 3.5 - 1.7t

Y(T) = -1.6 + 3.9t

Z(T) = 2.1

To find the vector equation and parametric equations for the line segment joining points P(3.5, -1.6, 2.1) and Q(1.8, 0.3, 2.1), we can use the following steps:

1. Vector Equation:

The vector equation for a line segment joining two points is given by R(t) = P + t(Q - P), where P and Q are the given points, and t is a parameter.

In this case, P = (3.5, -1.6, 2.1) and Q = (1.8, 0.3, 2.1).

R(t) = (3.5, -1.6, 2.1) + t((1.8, 0.3, 2.1) - (3.5, -1.6, 2.1))

Simplifying the equation:

R(t) = (3.5, -1.6, 2.1) + t(-1.7, 1.9, 0)

Expanding and combining like terms:

R(t) = (3.5 - 1.7t, -1.6 + 1.9t, 2.1)

So, the vector equation for the line segment is R(t) = (3.5 - 1.7t)i + (-1.6 + 1.9t)j + 2.1k.

2. Parametric Equations:

To obtain the parametric equations for the line segment, we can express each component of R(t) separately.

X(t) = 3.5 - 1.7t

Y(t) = -1.6 + 1.9t

Z(t) = 2.1

These equations represent the position of a point on the line segment as a function of the parameter t.

Therefore, the parametric equations for the line segment are:

X(t) = 3.5 - 1.7t

Y(t) = -1.6 + 1.9t

Z(t) = 2.1

These equations describe the coordinates of any point along the line segment joining P and Q as a function of the parameter t, where t ranges from 0 to 1.

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Answer: 4.2 x 10⁻⁴m

Step-by-step explanation: Scientific Notation is a method of writing a very large or very small number. It consists in any real number between 1 and 10 multiplied by any power of 10 (positive or negative).

The diameter of hydrogen is 5x10⁻¹¹m. There are 8.4x10⁸ atoms of hydrogen.

To determine the length of the line of atoms, you could add the diameter the number of atoms or multiply the diameter by the number of atoms:

L = 5x10⁻¹¹ * 8.4x10⁸

As it is multiplication, you can mutiply the numbers and then add the power of 10, since they are in the same base:

L = 42 x 10⁻³m

or moving comma to the left:

L = 4.2 x 10⁻⁴m

The length of the line of hydrogen atoms, in scientific notation is 4.2x10⁻⁴m

Answer: Um sure you can

The game field is 350 40 percent for 250 is 100 and 250 plus 100 is 350

Answer:

1.5

Step-by-step explanation:

-2,-1,0,1,2,3,4,5

Le quitamos un número hasta llegar al medio. En el medio hay dos números, el 1 y el 2. Pues tenemos que buscar el promedio de los dos (1+2=3 y 3÷2=1.5).

Answer:

Critica probability (p) = 1 - (Alpha / 2), where Alpha is eqal to 1 - (the confidence level / 100)

Step-by-step explanation:

I think

The fate of the 22 checked bags can be considered the Bernoulli trials.

A Bernoulli trial is a random experiment with two possible outcomes, often referred to as a "success" or "failure." In the context of the lost luggage problem, success would be a checked bag that is not misplaced, and failure would be a checked bag that is misplaced.

For a set of trials to be considered Bernoulli trials, the following conditions must be met:

In this case, the fate of the 22 checked bags can be considered Bernoulli trials if the following conditions are met:

Therefore, the fate of the 22 checked bags can be considered Bernoulli trials.

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Answer: since there is no table shown you can’t really tell but the closest would be the number that shows up the most amount of time but you would have to take into consideration of the increase of the number

Step-by-step explanation:

Answer:

hi it -2 3

Step-by-step explanation:

Answer:

1/18 there you go

Step-by-step explanation:

An example of a situation that's not represented by a linear function is "The initial population of dogs in a community is 20 but it increases by the 20% yearly".

The terms "linear function" in mathematics refer to two different but related ideas: A linear function is a function with a graph that is a straight line in calculus and related fields.

It should be noted that per unit of time, linear functions evolve at a fixed rate. Over equal intervals, an exponential function evolves by a common ratio.

In this case, the Illustration above isn't a linear function but rather an exponential function.

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The measures of the angles are

1. Angle TLN, MZQ and NLM

The angles TLN and NLM are supplementary angles

So, we have

TLN + NLM = 180

This gives

3x - 18 + y = 180

Also, we have

TLN + MZQ = 180

So, we have

3x - 18 + 5x + 14 = 180

Evaluate the like terms

8x -4 = 180

This gives

8x = 184

Divide

x = 23

Substitute x = 23 in 3x - 18 + y = 180

3 x 23 - 18 + y = 180

Evaluate

51 + y = 180

So, we have

y = 129

The above computations imply that:

TLN = 3 x 23- 18 = 51 degrees

NLM = y = 129 degrees

MZQ = 5 x 23 + 14 = 129 degrees

2. Angle JZQ and TLN

The above means that

JZQ = TLN

So, we have

9x + 9 = 8x + 19

Evaluate

x = 10

So, we have

JZQ = TLN = 9 * 10 + 9

JZQ = TLN = 99 degrees

3. Angle ZMR, LMO and LMR

The angles ZMR and LMO are congruent angles

So, we have

ZMR = LMO

This gives

x + 14 = 2x - 6

Evaluate

x = 20

Also, we have

LMR + LMO = 180

So, we have

y + 2x - 6 = 180

y + 2 x 10 - 6 = 180

y + 14 = 180

So, we have

y = 166

The above computations imply that:

LMO= ZMR = 20 + 14 = 34 degrees

LMR = y = 166 degrees

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Based on the information provided, we can conclude that there is a high likelihood that a significant proportion of all adults have high levels of blood glucose.

Specifically, the medical researcher found that 37% of her adult subjects had high levels of blood glucose, which is a warning sign for diabetes. Additionally, the margin of error of +_4% suggests that the true percentage of adults with high blood glucose could be anywhere between 33% and 41%. Therefore, it is reasonable to assume that a large proportion of all adults may have high levels of blood glucose, which could increase their risk of developing diabetes. It is important for individuals to regularly monitor their blood glucose levels and consult with their healthcare provider if they have concerns.

Based on the medical researcher's findings, we can conclude that approximately 37% of her adult subjects have high blood glucose levels, which is a warning sign for diabetes. Considering the margin of error of ±4%, the true percentage of all adults with high blood glucose levels could range from 33% to 41%. This suggests that a significant proportion of adults might be at risk for diabetes, emphasizing the importance of regular screening and preventative measures to maintain healthy blood glucose levels.

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