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1) 1,3,4,7 dataset has the highest variance.

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

to find the variance,

first step is to calculate the mean Next, take each data point and square the difference after subtracting the mean. All values' squared differences are added. Next, divide the total by the number of data points. this is the process to get the variance.

a) now given that a. 7, 8, 9, 10

[tex]mean = \frac{sum \: of \: al l\:data \: points \: }{ total \: number \: of \: data\: points \: } [/tex]

[tex]mean = \frac{(7 +8 + 9 + 10) }{4} [/tex]

mean = 8.5

now, take each data point and square the difference after subtracting the mean.

[tex](7 - 8.5) {}^{2} = 2.25 \\ (8 - 8.5) {}^{2} = 0.25 \\ (9 - 8.5) {}^{2} = 0.25 \\ (10 - 8.5) {}^{2} = 2.25[/tex]

All values' squared differences are added.

2.25+0.25+0.25+2.25=5

Next, divide the total by the number of data points.

5/4 = 1.25

Hence the variance of 7,8,9,10 is 1.25

b) given that 1,3,4,7

mean = 3.75

variance = 18.75/4 = 4.68.

Hence the variance of 1,3,4,7 is 4.68

c) given that 4,2,1,0

mean= 1.75

variance= 2.1875

Hence the variance of 4,2,1,0 is 2.1875

D) given that 1,0,2,4

mean= 1.75

variance= 2.1875

Hence the variance of 1,0,2,4 is 2.1875

Therefore 1,3,4,7 dataset has the highest variance.

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Answer:

54 inches = 4.5 feet.

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Starting at -8 you subtract three, meaning you go three numbers lower which would be -11.

Answer:

(5,-1)

Step-by-step explanation:

Answer:

Rotterdam

Step-by-step explanation:

0 is sea level and anything above 0 is above sea leavel and anything below is below sea level

Hope this help

The cost of each drink purchased at the AMC theaters is $6.09

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the cost of one drink. After using the coupon, their total cost before tax was $29.18. Hence:

2(11) + 2(x) - 5 = 29.18

x = 6.09

The cost of each drink purchased at the AMC theaters is $6.09

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Answer:

B. (x − 4) and (x + 8)

Step-by-step explanation:

ok nice :0

Your question was incomplete. Please refer the content below:

If 6 bales are needed to feed 40 head of cattle, how many bales are needed to feed 50 head of cattle?

By using unitary method, we get that 7.5 bales are need to feed the 50 heads of cattle.

We are given that:

6 bales are need to feed the 40 heads of cattle.

We need to find out that how many bales will be needed to feed the 50 heads of cattle.

Here, we will be using the unitary method.

So, 40 heads need = 6 bales

1 head needs = 6/40 bales

1 head needs = 3 / 20 bales.

So, 50 heads will need:

50 heads will need = 3 / 20 × 50 bales

50 heads will need = 3 / 2 × 5 bales

50 heads will need = 7.5 bales.

Therefore, by using unitary method, we get that 7.5 bales are need to feed the 50 heads of cattle.

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Using proportions, the San Gabriel Mountains grow 0.00000000114 km/h.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have that:

Hence the speed is:

0.00001/8760 = 0.00000000114 km/h.

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Answer:

The top one i believe

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The system of equations involving 1/3x - 3y = -4 and x - 9y = -12 has infinite number of solutions.

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

1/3x - 3y = -4     (equation 1)

x - 9y = -12     (equation 2)

Using the second equation, find the value of one variable, lets say x, in terms of the other.

x - 9y = -12     (equation 2)

x = 9y - 12

Substitute the equation of x to the first equation.

1/3x - 3y = -4     (equation 1)

1/3(9y - 12) -3y = -4

3y - 4 - 3y = -4

Combining the all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.

3y - 3y = -4 + 4

0 = 0

Since we did not get unique values for x and y, check if one of the equations is a simplified form of the other. Multiply the first equation with 3.

1/3x - 3y = -4     (equation 1)

3(1/3x - 3y) = 3(-4)

x - 9y = -12

Since this new equation is the same with the second equation, this means that the lines of the two equations are the same(overlapping). Hence, the system of equations has infinite number of solutions.

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Answer:

(3,0)

Step-by-step explanation:
I think this is right.

The relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.

In this case, the weight of a potato is given as 3.441g.

It should be noted that the first 4 is in the tenth place and is written as 0.4.

On the other hand, the second 4 is in the hundredth place. The value is 0.04.

Therefore, the relationship between the numbers will be:

= 1/10 × 1/10 = 1/100

Therefore, the relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.

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The weight of a potato is given as 3.441g. Ehat is the relationship between the values of the two 4s in the weight of the potatoes?

A coin toss determines the first possession of each NFL game.  This process deterministic not random event because the initial coin flip only determines whether a team receives the ball now at start of the first or third quarter.

Possession in football refers to a team keeping possession of the ball for as longer as possible in order to create opportunities for goals and prevent this same opposition from posing a threat to the team's goal.

Some key features regarding the first possession in NFL game are-

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Answer:

r^3+4m

Step-by-step explanation:

We get that the domain will be {-7, 2, 5}.

We are given a transformation function:

f ( x , y ) = ( x + 5 , y - 8 )

Also, we are given the points in this transformation function as:

(10, 8), (-2, 7) and (7, 9)

Now, we have to find the point that lies in the domain of the function.

We have:

x + 5

Also, the values of x + 5  are given as 10, -2 and 7.

For (10, 8)

x + 5 = 10

x = 10 - 5

x = 5

For (-2, 7)  

x + 5 = -2

x = - 2 - 5

x = - 7

For (7, 9)

x + 5 = 7

x = 7 - 5

x = 2

So, domain is {-7, 2, 5}.

Therefore, we get that the domain will be {-7, 2, 5}.

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Answer:

40

Step-by-step explanation:

Add ratio 2+5=7

Divide 140 by 7 = 20

Multiply 20 by the ratio Jayden has which is 2

20x2=$40

Answer:

f = j - 207

Step-by-step explanation:

j decreased by 207 means j - 207

so,

f = j - 207

Answer:j-207

Step-by-step explanation:

I'm assuming you meant if j decreased by 207

Answer:

4 chapters

Step-by-step explanation:

16x4=64

Answer:

Inequality:

8in > x - 5in

Solution:

x < 13in

Step-by-step explanation:

If the length 8in is is bigger than the width (x - 5in) then we just need to write it:

8in > x - 5in

To solve for x, we need to move everything but x to the other side

8in > x - 5in

13in > x

Answer:

64

Step-by-step explanation:

Ok so I know I prolly didn't work this out the way they want you to, but this is how i have always done it and got the correct answer.

So, there are 180 degrees in a triangle right? Well, we know 2 angles, 65 and 51. So add them together and you get 116. Simply subtract 116 from 180 to find the missing angle.

65 + 51 = 116

180 - 116 = 64

m<PST = 64 degrees

Answer: you can minus it

Step-by-step explanation:

676 3/5

-68 3/5

=606 0/0

the 0/0 can be left aswell

Answe46 points scored

Step-by-step explanation:

The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.

It follows from the task content that the degree of the polynomial in discuss is to be determined as required in the task content.

First, it is noteworthy to know that the degree of a polynomial is the greatest power of a variable present in the polynomial.

On this note, it follows that the degree of the function in this scenario is; 8.

Ultimately, The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.

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The average breaths taken per minute by the fish is 22.53. This is obtained using the previous knowledge of average.

What do you mean by average?

An average is a single number that is used to represent an entire group of things. Averages are calculated by dividing the sum of all values by the total number of values.

Calculation of average number of breaths taken by a fish per minute

Given:

Breaths in 1 minute are 65

Breaths in 2 minutes are 73

Breaths in 3 minutes are 67

Breaths in 4 minutes are 71

Breaths in 5 minutes are 62

Total breaths = 65 + 73 + 67 + 71 + 62

= 338

Total time taken = 1 + 2 + 3 + 4 +5

= 15 minutes

The average number of breaths = total breaths / total time taken

= 338 / 15

= 22.53 breaths per minute

Hence, the average breaths taken per minute by the fish is 22.53.

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The population of the country in 2001 to the nearest hundredth of a million is 24.31 million

If the population grows by 6.5% every year, the population grows at a compound rate. The equation that can be used to determine the population in 2001 would be an exponential equation. The equation that can be used to represent an exponential equation is: a = [tex]mx^{b}[/tex]

When a population grows at a compound rate, it means that both the existing population and the increase in the population increase by 6.5 every year.

The equation that can be used to determine the population of Tacoma in 2017 is:

P =  FV / (1 + r)^n

Where:

33.3 / ( 1 + 0.065)^5

33.3 / (1.065^5) = 24.30503 million

In order to round 24.30503 million to the nearest hundredth , look at the thousandth figure, if it is greater or equal to 5, add one to the hundredth digit and change the thousandth digit to 0. So,  24.30503 million becomes  24.31 million

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A function rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g is given by: d = 20g

A proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a rule that relates the total distance (d) which a car can travel as a function of the number of gallons (g) of gas in its tank:

d = 20g

Where:

In conclusion, the total distance (d) traveled by most cars is directly proportional to the number of gallons (g) of gas in their tank at a constant rate of 20 miles per gallon of gas.

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