2. based on data from ac nielsen, among households in the united states, the mean number of tv sets is 2.24, with a standard deviation of 1.38. a random sample of 40 households is selected. a. describe the sampling distribution of the sample mean number of tv sets in a sample of 40 households. state the shape of the distribution and check any necessary conditions for that. state the mean and compute the standard deviation (round to 4 decimal places). (6 pts.) b. in a random sample of 40 households, what is the probability that the sample mean is 2.55 or higher? include a sketch. show all work. (8 pts.)

The Theoretical yield of solid precipitate is 1.42g/mol

Now, consider solid precipitate as cacl2

let us take the mass of cacl2 and calculate the moles of cacl2.

Mass of CaCl2 =2.0 g

By, default the molar mass of CaCl2 =110.98 g/mol

To calculate the Moles we have a formula:

Moles=Given mass*1 mol/Molar mass of a precipitate.-----(1)

substitute the values in equation (1)

Moles of CaCl2 =2.0 g * 1 mol/110.98g

                           = 0.018 mol

Take another solid precipitate:

Mass of K2Co3=2.0 g

The molar mass of K2Co3 =138.205 g/mol

Now calculating the moles of K2Co3

substitute the values in equation(1)

Moles of K2Co3 =2.0 g * 1 mol/ 138.205g

                             =0.0145 moles

According to balanced equation 1mole of CaCl2 reacts with 1 mole of K2CO

Thus, 0.018 moles of CaCl2 will react with 0.018 moles of K2CO3

And,0.0145 moles of K2CO3 will produce 0.0145 moles of CaCO3

Molar mass of CaCO3 =100.0869 g/mol

Theoretical yield of CaCO3 =moles of CaCO3 *molar mass of CaCO3

                                                =0.0145 moles * 100.0869 g/mol

                                                 =1.45g/mol

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Answer:

y+3 = -7/3(x-3)

y = -7/3x + 4

Answer: 8.6 miles

Step-by-step explanation:

Takes 21 divided by 3 = 1 mile in 7 minute

Then take 60 divided by 7 = 8.57

ground to nearest tenth = 8.6 miles

Answer:

The answer is acually 54.3

Step-by-st

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.003357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

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For the given data analysis  , The correct function is : RIGHT(B3,5), which is the correct syntax.

Here it is related to data cleaning which is the process of removing or fixing data that are incorrect or formatted incorrectly, corrupted, duplicate, or even incomplete data within a dataset that exists. When we mix  multiple data sources, it depicts that  there can be opportunities for the data to be mislabeled or duplicated, since we are guiven  that the customer names and addresses, so the correct syntax will be  =RIGHT(B3,5), where the RIGHT  Function  that returns set  number of characters of  a text string from the  right side

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The area of the curved surface of the dryer is 11.775m

The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a certain height from the center. Real-world examples of cylinders are toilet paper rolls and cold beverage cans.

We know, the formula for curved surface of cylinder is 2pirh

putting the desired value in the equation we get

11.775m

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Answer:

the last one is obviously represent a linear of function

The formula E3 + E4 can b expressed in the form of absolute cell address, that is option (a) $E$3+$E$4

The given formula is

E3 + E4

In the absolute cell address the coordinates of the column and row will be constant while copying a formula from one cell to the other. Here we use the dollar sign "$" before the coordinates of the column and row to correct them.

The given formula is E3 + E4

The E is the name and 3 and 4 are the coordinates of the column and row

The absolute cell address =  $E$3+$E$4

Therefore, the absolute cell address of the given formula is $E$3+$E$4

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1. Distribute

2. Subtract 1/2z on both sides

3. Subtract 9 on each side

4. x=-3

5. CHECK

Answer: x=16

Step-by-step explanation:

The two angles in the picture is equal to each other.

So the 6x + 4 = 100 degree

6x = 96

x= 16

The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3 so options (B) and (D) are correct.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

As per the given fractions,

2 ÷ 1/3 = 2 x 3/1 = 6 > 1

3/4 ÷ 2/3 = 3/4 x 3/2 = 9/8 > 1

Hence "The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3".

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The complete question below,

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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Answer:

SSA

Step-by-step explanation:

If you have 2 triangles that have 2 congruent sides, and a congruent non-included angle, there is 2 possible values for the third side, so SSA does not work

Yes, the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.

Average:

In math average refers mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we have the data of the national health and nutrition examination survey contains data on 2,263 US. adults. one of the variables is total cholesterol. total cholesterol levels less than 200 milligrams per deciliter (mg/dl) are considered desirable for adults. a reading between 200 and 239 mg/dl is considered borderline high and a reading of 240 mg/dl and above is considered high.

And we need to find that does the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.

While we looking into the given question,

Total number pf participants = 2,263

Desirable level of cholesterol = less than 200 milligram

Border line level of cholesterol = Between 200 and 239 mg

Higher level of cholesterol = 240 mg

So, based on the given details, we know that at least 25% of people must have the desirable.

Therefore, the given level is a desirable one.

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-57 decrease

In this equation.

The value of the function at x=0 is 17.78(4.86)^0 = 17.78(1) = 17.78.

ii. The ratio of output values ​​corresponding to an increment of 1 in input values ​​is (4.86)^1 = 4.86.

iii. A percent change of 1 unit is (4.86 - 1) × 100% = 286% increase.

For the function h(x) = 94.71(0.57)^x:

Thus, the value of the function at x=0 is 94.71(0.57)^0 = 94.71(1) = 94.71.

ii. The ratio of the output value corresponding to an increment of 1 in the input value is (0.57)^2 = 0.57.

iii. Percentage change of 1 unit is (0.57 - 1) × 100% = -57 reduction

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Answer: Congruent

Step-by-step explanation:

Answer:

The answer is -15

The simplified form of the expression [tex]\frac{2}{\frac{3}{11}}[/tex] is [tex]\frac{22}{3}[/tex].

To simplify the expression [tex]\frac{2}{\frac{3}{11}}[/tex], you can start by performing the division in the parentheses first:

[tex]\frac{2}{\frac{3}{11}}[/tex] = [tex]\frac{2}{\frac{3}{11}}[/tex] × [tex]\frac{11}{11}[/tex]

= 2 × [tex]\frac{11}{3}[/tex]

Then, you can simplify the fraction by dividing both the numerator and the denominator by their greatest common factor:

2 × [tex]\frac{11}{3}[/tex] = [tex]\frac{(2 * 11)}{(3 * 1)}[/tex]

= [tex]\frac{22}{3}[/tex]

So the simplified form of the expression [tex]\frac{2}{\frac{3}{11}}[/tex] is [tex]\frac{22}{3}[/tex].

Simplification is a process of making something simpler or easier to understand by reducing the amount of complexity or detail. This can be done by removing or combining elements, or by reorganizing the structure. Simplification can be used in problem-solving, decision-making, or other tasks to make it easier to understand, interpret, or use the information.

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Answer:

because the absolute value of -5 is positive 5

On solving the provided question we can say that  the equation of the line will be  y+11 = 0.

The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).

To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).

Here,

slope, m= 0 as these are parallel line.

so the equation of the line will be

y-y1 = m(x-x1)

y+11 = 0

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Therefore, the volume of the given cone is V=33.51 [tex]ft^{3}[/tex]

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume and length definitions are connected.

Here,

Cone has a radius of 4ft

A height of 2ft.

Thus,

The formula for volume of cone is used

V=π[tex]r^{2} \frac{h}{3}[/tex]

V=3.14*[tex]4^{2}[/tex]*2/3

V=50.24*2/3

V=100.48/3

V=33.51 [tex]ft^{3}[/tex]

Therefore, the volume of the given cone is V=33.51 [tex]ft^{3}[/tex]

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Sarah needs 7 and three-fourths of pounds of clay to make 31 small vases. By using the proportion of pounds of clay to the number of small vases, the required value is calculated.

Proportions are equations in which two ratios are made equal to each other. By using these we can relate a part to a whole. The formula for the proportions is written as

a : b = c : d or a/b = c/d or ad = bc

Here the variables a and d are said to be the extreme terms and the variables b and c are the mean terms.

Mostly used proportions are inverse proportion, direct proportion, compound proportion, etc.

Given that,

Sarah uses 3 and 1/2 pounds of clay to make 14 small vases.

And x pounds of clay to make 31 small vases.

So, applying the proportions formula for finding the x value as

[tex]3\frac{1}{2}:x=14:31[/tex]

Then, we can write them as

bc = ad ⇒ 14x = 7/2 × 31

⇒ 14x = 217/2

⇒ x = 217/28

⇒ x = 7.75 = [tex]7\frac{3}{4}[/tex]

Therefore, Sarah needs 7 and three-fourths pounds of clay to make 31 small vases. So, option C is correct.

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Answer:

P(A) =0.5 obviously since it didn't say like P(AC) or P(AD)

The function lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ ] has lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ] as the limit of the function as x approaches a.

Generally, To evaluate the limit of a function as x approaches a certain value, we need to substitute the value of x with the limit value and see what the function evaluates to.

In this case, we have:

lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ]

Substituting x with a, we get:

lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ]

This is the limit of the function as x approaches a.

Note that the terms a₀, a₁x, etc. are constants and will not affect the limit of the function. Therefore, the limit of the function as x approaches a is simply sin(a).

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The required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.

Given that,
John deposits $ 8,000 in a certificate of deposit that pays .8% interest, compounded semi-annually.

Investment is defined as when an individual is spend money on something that returns him or her higher money than the money they or invest.

Here,

Interest earned in the 6 months,
= 8000 [0.08/2]
= $320
Balance after a year,
Amount = principal [1 + rate/n]ⁿ
= 8000[1 + 0.08/2]²
= $8652.8

Thus, the required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.

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Answer:

The lowest common denominator is 12

Step-by-step explanation:

Finding the lowest common denominator

Multiples of 6: 6,12,18,24

Multiples of 4: 4,8,12,16,20

The lowest common multiple is 12

The lowest common denominator is 12

Answer:

X=1

Step-by-step explanation:

For step one you have to Distribute

2x-1(4x+3)=-7x+2 --> 2x-4x-3=-7x+2

For step two you have to Combine Like Terms

2x-4x-3=-7x+2 --> -2x-3=-7x+2

For step three you have to Add Three To Both Sides

-2x-3=-7x+2 --> -2x=-7x+5

For step four you have to Add 7x To Both Sides

-2x=-7x+5 --> 5x=5

For step 5 you have to Divide Both Sides By The Same Factor (5)

5x=5 --> x=1

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The inequality to describe the number of subscriptions Andre must sell to reach his goal is  3s + 25 ≥ C.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Assuming the cost of soccer cleats to be 'C' and the number of subscriptions to be 's'.

∴ The inequality that represents this situation is 3s + 25 ≥ C to real his goal.

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F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

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