Please provide an explanation of how to solve this.Find the variance for the given data. Round your answer to one more decimal place than the original data. 29) 1, 4, -5, -9, and 6 a. 39.2 b. 31.4 C. 39.4 d. 39.3

If there is a 0.41% chance that an American citizen will die from falling, then the probability  that you will not die from a fall is 99.59%

The chances of an American citizen will die from falling = 0.41%

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The equation will be

The probability = Number of favorable outcomes / Total number of outcomes

The probability  that you will not die from a fall = 1 -  The chances of an American citizen will die from falling

Substitute the values in the equation

The probability  that you will not die from a fall = 1 - 0.41

= 99.59%

Therefore, the probability  that you will not die from a fall is 99.59%

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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The equation of the line that goes through (-5,2) with slope = 0 is y = 2.

We are given a point and we have to find the equation of a line which passes through this point and the line has a slope of 0. The point given to us is (-5,2). We will use the point-slope form to find the equation of this line.

The point-slope form is y - y1 = m(x - x1), where (x1,y1) is the given point and m is the slope. We will substitute the values that we know here.

y - 2 = 0[x - (-5)]

y - 2 = 0(x + 5)

y - 2 = 0

y = 2

If the slope of a line is 0, it means that the x-intercept is 0. Therefore, it is a horizontal line that is parallel to the x-axis.

Therefore, the equation of the line that goes through (-5,2) with slope = 0 is y = 2.

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The answer is option A. increasing the sample size.

The central limit theorem (CLT) is a statistical theory that explains the behavior of sample means when drawn from a population with any distribution, as long as the sample size is large enough. The CLT states that as the sample size increases, the sampling distribution of the means approaches a normal distribution, regardless of the shape of the original population distribution.

One implication of the CLT is that increasing the sample size makes the sampling distribution more precise and reliable, as the standard error of the mean decreases with larger samples. However, the CLT does not necessarily imply that increasing the sample size decreases the dispersion (or variability) of the sampling distribution itself.

The dispersion of the sampling distribution is determined by the variability of the original population and the sample size, but it does not change with sample size alone. For example, if the original population has a large standard deviation, the sampling distribution of the means will also have a large standard deviation, even with a large sample size. However, as the sample size increases, the means will be more tightly clustered around the population mean, which means that the precision of our estimate of the population mean increases.

Therefore, the answer is option A. increasing the sample size.

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Answer:

The maximum earning is $122

Step-by-step explanation:

The computation of the Daniel maximum earnings is as follows;

Since there is total of 16 hours

so 10 hours would be for parking cars and the remainig hours i.e.

= 16 hours - 10 hours

= 6 hours

This above hours for working at store

So,

= 10 hours × $8 + 6 hours × $7

= $80 + $42

= $122

Hence, the maximum earning is $122

Answer:

z-score for Emily's exam grade is 2.50

Step-by-step explanation:

Z score helps to determine position of any  observed data with respect to mean of data, when it is measured in terms of standard deviation.

Formula for  z score is given by

z = (data from sample - mean)/ standard deviation

Given in the problem

mean = 82

standard deviation = 4.0

sample score = 92

Z = (92-82)/4 = 10/4

Z = 2.5

z-score for Emily's exam grade is 2.50

The z-score of Emily's exam grade is 2.50.

The z-score means the score that applied for measuring the position of the data related to the mean

Since the mean is 82, the standard deviation is 4.0 and the sample size is 92

Now the z-score should be

\(Z = (92-82)\div 4 = 10\div 4\)

Z = 2.5

Hence, the z-score for Emily's exam grade is 2.50

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Answer:

False

Step-by-step explanation:

THE ANSWER IS FALSE.

To get a glimpse of the contents of the DataFrame named "flavors_df," you can use the head() function. This function allows you to view the first few rows of the DataFrame, providing a quick overview of the data organization.

In Python, when you have a DataFrame named "flavors_df," you can use the head() function to view the first few rows of the DataFrame. The head() function is a useful tool for getting an initial understanding of the data's structure and contents. By default, it displays the first five rows of the DataFrame, but you can specify the number of rows you want to see by passing an argument to the function.

Here's an example of how you can use the head() function to view the contents of the "flavors_df" DataFrame:

scss

Copy code

flavors_df.head()

Executing this code will output the first five rows of the DataFrame. If you want to see a different number of rows, you can pass the desired number as an argument to the head() function. For instance, flavors_df.head(10) will display the first ten rows of the DataFrame. This quick glimpse allows you to assess the data's structure and decide on further analysis or data manipulation steps based on the available information.

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RS is a segment bisector.

R is the vertex of a pair of congruent angles in the diagram.

S is the midpoint of a segment in the diagram.

Options A, C, and E are the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the diagram below we have,

PQ = segment

RS = Bisector of the segment PQ

R = Vertex having two congruent angles.

Thus,

RS is a segment bisector.

R is the vertex of a pair of congruent angles in the diagram.

S is the midpoint of a segment in the diagram.

Options A, C, and E are the correct answer.

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Answer: x>4 and then x<2

Step-by-step explanation: divide by 2 on both sides

Answer:

x = 5

Step-by-step explanation:

2 * 5 = 10 which is greater than 8

10 > 8

Answer:

33i - 12

Step-by-step explanation:

\(8i - (12 - 4i) + 7 \sqrt{ - 9} \\ = 8i - 12 + 4i + 7 \sqrt{9 \times ( - 1)} \\ = 12i - 12 + 7 \times 3 \sqrt{ - 1} \\ = 12i - 12 + 21i \: \: ( \because \sqrt{ - 1} = i)\\ = 12i + 21i - 12 \\ \therefore \red{ \bold{8i - (12 - 4i) + 7 \sqrt{ - 9} }= \purple{ \bold{33i - 12}}}\)

Step-by-step explanation:

Let's call the number of girls in the school "g". We know that there are 1000 boys, so the total number of students is 1000 + g.

The problem states that 48% of the total number of students were successful in the examination. Therefore, we can write an equation:

0.48(1000 + g) = 0.5(1000) + 0.4(g)

Simplifying and solving for g:

480 + 0.48g = 500 + 0.4g

0.08g = 20

g = 250

Therefore, the number of girls in the school is 250.

Answer:

250

Step-by-step explanation:

Hi dear,

Firstly, let the girls be G

1000 + G = Total number of students

50% of boy = 1000 × 0.5 = 500

40% of girls = G × 0.4 = 0.4G

0.48 • (1000 + G) = 480 + 0.48G

480 + 0.48G = 500 + 0.4G

Collect Like Terms

0.48G - 0.4G = 500 - 480

0.08G = 20

G = 20/0.08

G = 250

Therefore, the girls are 250( two hundred and fifty)in the school

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

2 2/5=5/5+5/5+2/5=12/5

3 3/4= [(3•4)+3]/4=15/4

(12/5) / (15/4)= 12/5 • 4/15=12•4/5•15=

48/75 kilometers in 1 minute

Step-by-step explanation:

How that this helps! :)

Have a great rest of your day/night!

Answer: 5.25

Step-by-step explanation: there are 7 days in a week so if he practiced everyday for a week he practiced 3/4 hours for 7 days straight, so 3/4 × 7= 5.25

Answer:

f(x) = \(\frac{1}{4}x^{2}\)  > f(x) = -0.5x² > f(x) = x²

Step-by-step explanation:

In a quadratic function leading coefficient decides the width of a graph.

In simpler words, leading coefficient decides the vertical stretch of the graph.

Higher the value of leading coefficient, higher the vertical stretch.

When a graph is vertically stretched it becomes narrower.

(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)

Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = \(\frac{1}{4}x^{2}\) will be the widest.

So the descending order will be,

f(x) = \(\frac{1}{4}x^{2}\)  > f(x) = -0.5x² > f(x) = x²

Answer:

I'm not sure what you're trying to ask. Is there a total number of kids?

Answer: There are 120 sixth graders.

Step-by-step explanation.

Just multiply 30 times 4

The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

To calculate the approximate volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h,

where r represents the radius of the cone's base and h represents the height of the cone.

Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:

Volume = (1/3) * π * (1.75)^2 * 2.1

To calculate the approximate volume, we'll use the value of π as approximately 3.14:

Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1

Now, we can perform the calculations:

Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1

≈ 1.047 * 3.0625 * 2.1

≈ 6.478875

Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

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there are 117 different combinations of red and blue balloons that can be chosen from the store. Combinations describe the various ways that a group of objects can be chosen without taking into account their sequence.

A combination is a choice of elements from a bigger set where the order in which they are chosen is irrelevant. let's find out the possible combinations of red and blue balloons that can be chosen.

1. First, we'll calculate the number of combinations for red balloons. Since there are 12 red balloons, we can choose from 0 to 12 red balloons. That's 13 possible choices for red balloons.

2. Next, we'll calculate the number of combinations for blue balloons. Since there are 8 blue balloons, we can choose from 0 to 8 blue balloons. That's 9 possible choices for blue balloons.

3. Now, we'll multiply the number of choices for red balloons by the number of choices for blue balloons. This will give us the total number of combinations for red and blue balloons.

13 choices (red) x 9 choices (blue) = 117 combinations

So, there are 117 different combinations of red and blue balloons that can be chosen from the store.

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Answer:

a. k > 7

b. a < -21

c. h > 9

d. f < 301

Step-by-step explanation:

a. 2k + 7 > 21

2k > 14

k > 7

b. a/3 + 12 < 5

a/3 < -7

a < -21

c. 6h − 5 > 49

6h > 54

h > 9

d. f/7 − 9 < 34

f/7 < 43

f < 301

Hope this helps!

The following inequalities are:

a.

2k + 7 > 21

k > 7

b.

a ⁄ 3 + 12 < 5

a < -21

c.

6h − 5 > 49

h > 9

d.

f ⁄ 7 − 9 < 34

f < 301

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

2k + 7 > 21

Subtract 7 on both sides.

2k > 21 - 7

2k > 14

Divide 2 on both sides.
k > 7

a ⁄ 3 + 12 < 5

Subtract 12 on both sides.

a/3 < 5 - 12

a/3 < -7

Multiply 3 on both sides.

a < -21

6h − 5 > 49

Add 5 on both sides.

6h > 49 + 5

6h > 54

Divide 6 on both sides.

h > 9

f ⁄ 7 − 9 < 34

Add 9 on both sides.

f/7 < 34 + 9

f/7 < 43

Multiply 7 on both sides.

f < 301

Thus,

k > 7

a < -21

h > 9

f < 301

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Answer:

as shown in underline ^^

Step-by-step explanation:

Fill in the missing words:

When a solid mixes with a liquid and becomes part of the liquid it dissolves.

A solid that dissolves in a liquid is soluble.

A solid that does not dissolve in a liquid is insoluble.

We have the following:

To calculate the value of the commission, we must multiply the value of the purchase by the percentage of the commission, in the following way:

Therefore, the answer is $247.85

Answer:

Step-by-step explanation:

You had the first part of the first question correct. The answer is 100:64

The sides of the squares

Area of e = 69% more than area of area of f

e^2: f^2 = ( 1 + 69/100 ) / 1

e^2 : f^2 = (1.69)/1            Take the square root of both sides

e:f  = 1.3:1

Answer:

(-7, 3)

Step-by-step explanation:

You already said the point of C is (-5, 2)

Now all we simply do is change the values of each X and Y value respectively.

When moving to the left, the value is subtracted for X.

When moving up the value is added to Y.

-5-2 = -7

2+1 = 3

Answer:

It is going to be -7;3 as I can see on the picture you sent the answer is the first option.

Answer:

angle SXV

Step-by-step explanation:

Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Step-by-step explanation:

-2x² + 5x - 3 - (-7 - 9x + 5x²)

= -2x² + 5x - 3 + 7 + 9x - 5x²

= -7x² + 14x + 4.

Hence the coefficient of the x term is 14.

The inverse functions are:

a) g(x) = (x - 2)/2

b) g(x)= {(3, 8), (1, 4), (-1, 0), (-3, -4)}

We know that two functions f(x) and g(x) are inverses if:

f( g(x)) = x

g(f(x)) = x

a) We want to find the inverse of:

f(x) = 2x + 2

If it is g(x), then we must have:

f(g(x)) = 2*g(x) + 2

And that must be equal to x, then:

2*g(x) + 2 = x

2*g(x) = x - 2

g(x) = (x - 2)/2

b) Now we want to find the inverse of:

f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

The inverse will be a function where the inputs are the outputs and the outputs are the inputs, so it is:

g(x)= {(3, 8), (1, 4), (-1, 0), (-3, -4)}

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