A trailer weighs one and one-half tons. There are 200 pounds of hay on

The mean of these five values is 9.6. This means that the average value  of the five numbers is 9.6.

The formula for calculating the mean is:

Mean = (Sum of all values) / (Number of values)

For example, if you had the following numbers: 4, 8, 10, 12, and 15, you would calculate the mean by adding the values together and then dividing by the number of values:

Mean = (4 + 8 + 10 + 12 + 15) / 5 = 9.6

The mean of these five values is 9.6. This means that the average value of the five numbers is 9.6.

Learn more about average value here:

https://brainly.com/question/39395

#SPJ4

a) The mean of the sample of size 5 is equals to 103.

b) The mean of the sample of size 12 is equals to 103.3.

c) Median of sample of size 5 is 104.

d) Median sample of size 30 is 105.5.

Mean: Sum of observations is divided by number of observations in the sample is named as mean, which is denoted by X- bar. Moreover, the sample mean signifies the measure of centre of the data.

X-bar = (x₁ + x₂ + --- + xₙ)/n

Median: Median divides the observations into two equal parts. It represents the middle value for a set of observations when they are arranged in order of magnitude. There are two cases arises.

Case (1): Sample size (n) is odd: First, arrange the data in ascending order. Then, the median is the middle value and lies at the position.

Case (2): Sample size (n) is even: First, arrange the data in ascending order. Then, the median is the mean of the two data values that lie on either side of the position. Median = ( n/2)ᵗʰ term , n is odd

=[(( n/2)ᵗʰ term + (n/2 + 1)ᵗʰ term]/2, n is even

Now, a) Mean of first sample with sample size, n = 5.

Sum of values = 105 + 111 + 97 + 94 + 108 = 515

So, mean = 515/5 = 103

b) Sample 2, sample size , n = 12

Sum of values = 105 + 111 + 97 + 94 + 108 + 101 + 112 + 114 + 103+ 102+ 91 + 101

= 515 + 724 = 1239

Mean = 1239/12 = 103.25

c) Now, we have to determine median for sample size 5. Here, sample values are odd in number, i.e., 5. So, middle term is median after arranging in order. Ascending order is 94,97, 104, 108, 111 and middle term is 104, so median is 104.

d) Now, we have a sample of size 30, which is an even number. First arrange the numbers in ascending order as 91,92,92,94,95,97,100,101,101,101,101,102,103,105,105,105,106,107,107,108,110,111, 111, 112,113,114,115,115,116,116. So,

Median is [((n/2)th + (n/2 + 1)th ]/2 i.e, [ 30/2)th + 30/2 + 1)th ]/2

=( 15th + 16th)/2 ( observations)

= (105 + 106 )/2 = 211/2 = 105.5

Hence, the median of sample size 30 is 105.5.

To learn more about Median , refer:

https://brainly.com/question/16408033

#SPJ4

Complete question:

See the above figure, each of the following three data sets represents the iq scores of a random sample of adults. iq scores are known to have a mean and median of 100.

a) What is the mean of the sample of size 5? Full data set Sample of Size 108 114 (Type an integer or decimal rounded to one decimal place as needed._ Sample of Size 12

b) What is the mean of the sample of size 12? 114 105 115 (Type an integer or decimal rounded to one decimal place as needed:)

c) What is the median of the sample of size 5? (Type an integer or decimal rounded to one decimal place as needed:)

d) What is the median of the sample of size 30? (Type an integer or decimal rounded to one decimal place as needed:)

Shaded region is between the lines corresponding to both inequalities.

Point that satisfy both inequalities is (-6/7 , 19/7)

Inequalities are the mathematical expressions in which both sides are not-equal. In inequality, unlike in equations, we compare two values.

Given inequalities

y<(-5/6)x+2

equation of the line becomes

y = (-5/6)x + 2           ------(1)

y>(1/3)x+3

equation of the line becomes

y = (1/3)x + 3               --------(2)

By the inequalities

(1/3)x + 3 < y < (-5/6)x + 2

shaded region should be between the lines.

Solving equation 1 and 2

(-5/6)x + 2 = (1/3)x + 3

(-5/6)x - (1/3)x = 3 - 2

(-5 - 2)x/6 = 1

-7x = 6

x = -6/7

Putting value of x in equation 2

y = (1/3)(-6/7) + 3

y = -2/7 + 3

y = (-2 + 21)/7

y = 19/7

Point is (-6/7 , 19/7)

Hence, point that satisfy both inequalities is (-6/7 , 19/7),

shaded region is between both lines corresponding to the inequalities.

Learn more about inequalities here:

https://brainly.com/question/28823603

#SPJ1

The percent of the time you would expect the mean of the sample size of 25 to fall between 66 and 74 is 68.27%, to be less than 70 is 50%, and to be greater than 68 is 84.13%.

a. If a population has a mean of 100 and a standard deviation of 20, then the mean of the sampling distribution of a sample size of n=252 will be 100. This is because the sample means of a sampling distribution will always be equal to the population mean.

b. The standard deviation of the sampling distribution of a sample size of n=25 is 4. This is calculated using the formula: σx = σ/√n, where σ is the population standard deviation (20) and n is the sample size (25).

c. The percentage of the time you would expect the mean of the sample size to fall between 66 and 74 is 68.27%. This is calculated using the Z-score formula, which is (x-μ)/σ, where x is the upper limit (74), μ is the population mean (70), and σ is the population standard deviation (10). The Z-score for the upper limit is (74-70)/10=0.4. We then use the standard normal table to find the area between -∞ and 0.4, which is 0.6827.

d. The percentage of the time you would expect the mean of the sample size to be less than 70 is 50%. This is because the Z-score for a mean of 70 is 0, and the area below 0 is 0.5 or 50%.

e. The percentage of the time you would expect the mean of the sample size to be greater than 68 is 84.13%. This is calculated using the Z-score formula, which is (x-μ)/σ, where x is the lower limit (68), μ is the population mean (70), and σ is the population standard deviation (10). The Z-score for the lower limit is (68-70)/10=-0.2. We then use the standard normal table to find the area between -∞ and -0.2, which is 0.8413.

The percent of the time you would expect the mean of the sample size of 25 to fall between 66 and 74 is 68.27%, to be less than 70 is 50%, and to be greater than 68 is 84.13%.

Learn more about sample size here:

https://brainly.com/question/24158610

#SPJ4

The population in 2019 is 311.8 million and the rate of change of the population in 2019 is 0.083 million people per year.

To find the population in 2019 and the rate at which the population is growing in 2019, we can use the given function P(t) = 309.3 . 1.008. Here, P represents the population in millions and t represents the number of years since 2010. We can use the difference quotient to estimate the derivative. The difference quotient for this function is (P(t+h)-P(t))/h where h is the difference in the number of years. For this question, h = 0.001. The population in 2019 is P(9) = 309.3 . 1.008^9 = 311.8 million people. The rate of change in 2019 is P' (9), which is calculated using the difference quotient. This comes to (P(9+0.001)-P(9))/0.001 = (311.811 - 311.8)/0.001 = 0.083 million people per year.

Learn more about rate here

https://brainly.com/question/199664

#SPJ4

The total time taken by Carmen in climbing the rocks will be 2¹/₄ hours.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carmen went rock climbing at the climbing gym for 1¹/₂ hours on Thursday. On Saturday, she went to Castle Rock State Park and climbed for  1¹/₂ times as long.

The total time of climbing will be calculated as:-

Time = 1¹/₂ x 1¹/₂

Time = ( 3 / 2 ) x ( 3 / 2 )

Time = 9 / 4

Time = 2¹/₄ hours.

Hence, the climbing time would be 2¹/₄ hours.

To know more about an expression follow

https://brainly.com/question/11186683

#SPJ1

The statements about the quadrilateral and/or the transformed quadrilateral that are correct are:

The quadrilaterals will be congruent.

Option A is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph,

Quadrilateral WXYZ.

We see that,

Quadrilateral WXYZ is in the III Quadrant.

Step 1:

Rotated 180° about the origin.

This means,

Quadrilateral WXYZ is in the I Quadrant.

Step 2:

Reflection across the y-axis.

This means,

Quadrilateral WXYZ is in the II Quadrant.

Now,

Since there is no dilation the transformed quadrilateral will be congruent.

Thus,

The quadrilaterals will be congruent.

Quadrilateral WXYZ is in the II Quadrant.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

The complete question is:

Quadrilateral WXY will be rotated about the origin and then reflected across the y-axis. Choose all of the statements about the quadrilateral and/or the transformed quadrilateral that are correct.

Therefore , the solution of the given problem of area comes out to be  Area of circle  85π cm2.

Its surface area provides a good estimate of its overall size. When computing a right triangle's squared, the surroundings are taken into consideration. The surface area of everything determines its overall size. The sum of the volumes on each of the six horizontal sides makes up the volume of water inside a cuboid. Utilize the following formula to get the box's dimensions: In 2lh, 2lw, and 2hw, the region is the same (SA). The flexible shape's total area serves as a representation of the area.

Here,

Given:

Points :P(-7; -2), Q(-1; 9) and R(5; -3).

The area of the circumscribed circle of the triangle.

is:

=> PQ = √(-7 - (-1))² + (-2 - (-9))²

=> PQ = √85

The radius is √85

=> Area of circle = π(√85)²

=>  Area of circle = 85π cm2

Therefore , the solution of the given problem of area comes out to be  Area of circle : 85π cm2.

To know more about surface area visit:

https://brainly.com/question/2835293

#SPJ1

The equation that represents "triple the input, then subtract 5" will be written as y = 3x - 5.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The output is less than 5 to 3 times the input.

Let 'x' be the input and 'y' be the output. Then the equation is given as,

y = 3x - 5

The equation that represents "triple the input, then subtract 5" will be written as y = 3x - 5.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

in order to calculate the descriptive statistics for the points scored by the team at home in 2013-2015, the mean, median, variance and standard deviation must be calculated using the appropriate formulas.

Descriptive Statistics

Mean: This is a measure of the center of the distribution, calculated as the sum of all values divided by the number of values. In this case, it is the average number of points scored by the team at home in 2013-2015. Formula: Mean = (Sum of all values)/(Number of values).

Median: This is the middle value of the data set after it is sorted in numerical order. It is the value that separates the upper half of the data set from the lower half. In this case, it is the middle value of the points scored by the team at home in 2013-2015. Formula: Median = (Sum of the lower and upper halves of the data set)/2.

Variance: This is a measure of how spread out the data set is, calculated as the sum of the squared differences between each value and the mean, divided by the number of values. In this case, it is the variance of the points scored by the team at home in 2013-2015. Formula: Variance = (Sum of the squared differences between each value and the mean)/(Number of values).

Standard Deviation: This is a measure of how spread out the data set is, calculated as the square root of the variance. In this case, it is the standard deviation of the points scored by the team at home in 2013-2015. Formula: Standard Deviation = Square Root of Variance.

Therefore, in order to calculate the descriptive statistics for the points scored by the team at home in 2013-2015, the mean, median, variance and standard deviation must be calculated using the appropriate formulas.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

The value of x based on the information about the triangle is 3.

It should be noted that the total sum of angles in a triangle is 180°. Based on the information given, this will be illustrated as:

180 - (180 - 140) - (180 - 99)

= 180 - 40 - 81

= 59

Therefore, 41x - 2 + 59 = 180

41x = 180 + 2 - 59

41x = 123

Divide

x = 123 / 41.

x = 3.

The value of x is 3.

Learn more about Triangle on:

brainly.com/question/17335144

#SPJ1

The solution for the given inequalities is x≥15 or x≤1. Therefore, option A is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequalities are 3x + 7 ≤ 4x-8 or-2x + 3≥1.

Here, 3x + 7 ≤ 4x-8

Subtract 3x on both the sides of an inequality, we get

7 ≤ x-8

Add 8 on both the sides of an inequality, we get

15≤ x

x≥15

Here, -2x + 3≥1

Subtract 3 on both the sides of an inequality, we get

-2x≥-2

Divide -2 on both the sides of an inequality, we get

x≤1

So, x≥15 or x≤1

Therefore, option A is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ1

Answer:

Step-by-step explanation:

C= 2pi

15= diameter. Radius= 13/2. R= 7.5

C= 2 times pi times 7.2

C=13 pi

C= 47.1

Answer:

In y = 3/2x,     x and y are inversely propotional

In -x = y,      x and y are directly propotional

Step-by-step explanation:

In y = 3/2x, the constant of propotionality is 3/2.

In -x = y, the constant of propotionality is -1.

The measure of both angles is 45.

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

We have,

Right triangle:

One angle = 90

Other angles:

One = 2x - 45

Another = x

Now,

The sum of the three angles = 180

90 + x + 2x - 45 = 180

Add like terms.

90 + 3x - 45 = 180

Add 45 on both sides.

90 + 3x = 180 + 45

Subtract 90 on both sides.

3x = 225 - 90

3x = 135

Divide 3 into both sides.

x = 45

Now,

Other angles:

One = 2 x 45 - 45 = 45

Another = 45

Thus,

Both angles are 45.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer:

I think the answer is six i just searched it  or it could be 12

Step-by-step explanation:

The greatest common factor (GCF) of 48 and 6 is 6, so:

48 - 6 = 42.

this isn't college level *laugh*

The interest rate required to double your money in 10 years with monthly compounding is approximately 133.27%.

To calculate the interest rate required to double your money in 10 years with monthly compounding, you can use the formula:

rate = ( (2 * principal) / principal * (1 + n)^(t12) )^(1/t12) - 1

where

principal = $1000

t = 10 years

n = number of compounding periods per year (12 for monthly compounding)

Plugging in the values we get:

rate = ( (2 * 1000) / 1000 * (1 + 12)^(1012) )^(1/1012) - 1

rate = ( 2 * (1 + 12)^120 )^(1/120) - 1

rate = ( 2 * 169860981.54 )^(1/120) - 1

rate = 1.3327

So, the interest rate required to double your money in 10 years with monthly compounding is approximately 133.27%.

learn more about interest rate: https://brainly.com/question/25793394

#SPJ1

If Cesar had a bill of $82 for renting an LCD projector, he kept the projector for 4 days, based on the linear equation.

To determine the number of days the projector, we deploy linear equation, which is in the form of y = mx + b, where m is the slope, x and y are variables, and b is the y-intercept.

The flat fee for administrative costs = $10

The variable cost per day = $18

The total bill for renting the projector = $82

The number of days = x

10 + 18x = 82

18x = 72

x = 4

Check:

10 + 18x = 82

10 + 18(4) = 82

10 + 72 = 82

82 = 82

Thus, setting a linear equation, we can determine the number of days the projector was rented as 4 days.

Learn more about linear equations at https://brainly.com/question/2030026

#SPJ1

The answers include the following:

This is referred to as the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

The Red to Yellow ratio is given as 3:5.

Red = 3 to 8 and yellow = 5 to 8.

Small to Large ball ratio  = 4:9

Small = 4/13 and large = 9/13

5/8 × 9 / 13 × 104

= 5 * 9

= 45

Read more about Probability here https://brainly.com/question/251701

#SPJ1

Answer:

A = 3 * B + 4

Step-by-step explanation:

A - 4=3 * B (given)

A = 3 * B + 4

Answer:

Step-by-step explanation:

The answer is A have a nice day :)

The results of this investigation provide valuable insights into the differences in the film-making practices of American and French film industries.

The comparative stem-and-leaf display is as follows:

90 | AM: 90 90 91 92 94 95 95 95 97 NONE

91 | AM: 104 110 113 113 116 116 116 120 125

92 | AM: 128 136

95 | FM: 90 95 96 97 102 103 105 106 111 113 113 125 125 128 158

96 | FM: 90 94 96

97 | NONE

102 | FM: 102

103 | AM: 103

104 | AM: 104

105 | FM: 105

106 | FM: 106

109 | AM: 109

110 | AM: 110

111 | FM: 111

113 | AM: 113

116 | FM: 116 122 123

120 | AM: 120

125 | FM: 125

128 | FM: 128

136 | AM: 136

158 | FM: 158

The display shows that American movies appear to be bimodal, with a typical running time of around 95 minutes and another peak around 125 minutes. On the other hand, French movies are unimodal and strongly positively skewed with a typical running time of around 95 minutes. This suggests that French movies tend to have a shorter running time compared to American movies, but with a larger range of running times compared to the peak of American movies around 95 minutes.

Learn more about stem-and-leaf :

https://brainly.com/question/27722653

#SPJ4

The rate of acceleration of an object with a mass of 3 kilograms that is pulled by the same force is given as follows:

18 m/s².

According to Newton's Second Law, the force is given by the multiplication of the mass and of the acceleration, as follows:

F = ma.

The force is obtained as follows, considering a mass of 27 kg and an acceleration of 2 m/s².

F = 27 x 2

F = 54N.

Then the acceleration of an object of 3 kilograms with the same force is given as follows:

3a = 54

a = 54/3

a = 18 m/s².

More can be learned about Newton's Second Law at https://brainly.com/question/25545050

#SPJ1

A series is given by 131+232+333+434+535+.... francine correctly applies the ratio test, the statement that reflects francine's conclusion is From the ratio test, r=1/3. The series converges.

We must calculate the ratio between two successive phrases in order to perform the ratio test:

The nth term is n / 3n.

The (n + 1)th term is (n + 1) / 3n + 1.

The ratio test:  lim |   [ (n + 1) / 3n + 1 ]  /  [  n / 3n ]   |

               =    lim |    [ (n + 1) / n ]  ·  [ 3n  / 3n + 1 ]   |

               =    lim |    [ (n + 1) / n ]  ·  [  1/3  ]   |

               =   (1/3) · lim |  (n + 1) / n  |

               =   (1/3) · lim |  ( n/n ) + (1/n)  |

               =   (1/3) · lim |  1 + (1/n)  |

               =   (1/3) · [ lim | 1 | + lim | 1/n |

               =   (1/3) · [ 1 + 0 |

According to the ratio test, the series converges if this ratio is between -1 and 1 (excluded). This sequence thus comes together.

               =   (1/3)   <---  converges

Learn more about Series covergence:

https://brainly.com/question/30302516

#SPJ4

Answer:

From the ratio test, r=13. The series converges.

Step-by-step explanation:

I took the Test

The shape of the cross section is Trapezium.

A cross-section is a shape that results from the cutting of a solid (such as a cone, cylinder, or sphere) by a plane.

For instance, if the base of a cylinder-shaped object is cut by a plane, the resulting cross-section will be a circle.

Given:

Here we have the figure of shape Triangular Pyramid.

and, the plane cutting the Pyramid is in shape of square.

So, the resultant cross section will be of the shape as seen from the cutting is Trapezium.

Learn more about Cross section here:

https://brainly.com/question/13028300

#SPJ1

The ratio of the given distribution of  pants to shirts is; 5:3

The ratio of shirts to pants can be expressed by putting the number of shirts and pants in the following way;

Number of shirts       :        Number of pants

20                               :                   12

Then we will have to reduce this ratio to the lowest term by dividing by the highest common factor of both numbers.

The highest common factor of 12 and 20 is 4 and as such when divided by 4 we get:

20/4 : 12/4

= 5 : 3

This represents the ratio.

Read more about ratio problems at; https://brainly.com/question/2328454

#SPJ1

The average speed on the first 30 minutes is 0.2 km per min.

Here we have the graph for the position of a bycicle rider on a 42-minute trip.

On the vertical axis we can see the position, and on the horizontal axis we can see the time.

Remember that:

speed = distance/time.

To find the average speed on the first 30 min, we need to take the quotient between the position after 30 minutes and 30 min.

At 30 min we can see that the position is at 6 km, then the speed will be:

S = 6km/30min = 0.2 km per min.

Learn more about speed at:

https://brainly.com/question/4931057

#SPJ1

The weight of 15 bags in kilograms and the volume of 15 bags in cubic yards are 272. 15 kilograms and 1. 1 cubic yards

It is important to note the conversion rate of the pounds to kilograms and also cubic feet to cubic yards

1 pound = 0. 453592 kilogram

If a bag of soil weighs 40 pounds which is equivalent to  0. 453592 kilogram

1 bag = 40(0.453592)

15 bags = x

x = 272. 15 kilograms

Then, we have that;

1 bag = 2 cubic feet

15 bags = 30 cubic feet

But, 1 cubic feet = 0. 037037 cubic yards

30 cubic feet = x

x = 1. 1 cubic yards

Hence, the values are 272. 15 kilograms and 1. 1 cubic yards

Learn more about conversion of units on:

https://brainly.com/question/141163

#SPJ1

Answer:

negative one and one-fourth, negative one-half

Step-by-step explanation:

it seems to be the only possible answer because the y value is negative one half

Answer: negative one and one-fourth, negative one-half