The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random variable ranging from 5 to 15. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.)​

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Answer 1
Od loves your everyday

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please help i will award brainliest

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The given diagram in the image is dilated by a scale factor of 1.5.

What is a scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or decrease

The coordinate point of the image is at 2. After dilation, the point will reach the coordinate at 5.

The scale factor of the point will be calculated as:-

Scale factor = 9 / 6

Scale factor = 1.5

Therefore, the scale factor for the given diagram in the image is 1.5.

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How much has the value of y changed between the points (-8,4) and (8,-4)?

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By 8 (down).
Look at the y value only (x,y).
4 and -4. That’s a total of 8 units down

Write the solution set of the given homogeneous system in parametric vector form. x1 + 2x2-15x3 = 0 2x1 + x2-15x3-0 X1X2 where the solution set is x = | x2 X3 x=x3 (Type an integer or simplified fraction for each matrix element.

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The solution set of the given homogeneous system in parametric vector form is x₁ = 5 = x₂ , x₃ = 1.

What is parametric vector form?

The identity matrix's two columns, which stand in for the two leading coefficients in the row echelon form of the original matrix, are added to create the parametric vector.

We are given set of equations as:

x₁ + 2x₂ - 15x₃ = 0

2x₁ + x₂ - 15x₃ = 0

-x₁ + x₂ = 0

Now, representing this in the matrix form, we get

[tex]\left[\begin{array}{cccc}1&2&-15&0\\2&1&-15&0\\-1&1&0&0\end{array}\right][/tex]

Now, we will reduce the matrix i.e. in row echelon form using elementary operations

From this, we get

[tex]\left[\begin{array}{cccc}1&0&-5&0\\0&1&-5&0\\0&0&0&0\end{array}\right][/tex]

So, we get that x₃ is the free variable.

Now, representing this in the parametric vector form, we get

x₁ - 5x₃ = 0

x₂ - 5x₃ = 0

x₃ = x₃

From this, we get

x₁ = 5x₃

x₂ = 5x₃

x₃ = x₃

So, we now get

x = [tex]\left[\begin{array}{c}x_{1} &x_{2} &x_{3} \end{array}\right][/tex]

This is equal to

x = [tex]\left[\begin{array}{c}5x_{3} &5x_{3} &x_{3} \end{array}\right][/tex]

Thus,

x = [tex]\left[\begin{array}{c}5 &5 &1 \end{array}\right][/tex]

Hence, the solution is x₁ = 5 = x₂ , x₃ = 1.

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in which quadrant is the point ( - 2 , - 3 ) located? A. quadrant iv B. quadrant iii C. quadrant i D. quadrant ii

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Since both the coordinates of (-2,-3) are negative the point lies in option B: quadrant iii.

What is a quadrant?

A quadrant is an area or section of a cartesian plane that results from the intersection of two axes. It is used to establish a point's location in a plane.

Consider the point A = (x,y) given in the coordinate system, where x and y are arbitrary numbers.

If x and y are positive numbers then point A is in the first quadrant.

If x is negative number and y is positive then point A is in the second quadrant.

If x and y are negative numbers then point A is in the third quadrant.

If x  is positive number and y is negative then point A is in the fourth quadrant.

Now the given point is (-2,-3).

The first coordinate of this point is a negative number, and the second is also negative.

So, the point lies in third quadrant.

Therefore, (-2,-3) is in 3rd quadrant.

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why does m1 x m2 = -1

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Answer:

By Thales' Rule (aka "the angle in a semicircle is a right angle"), since PR is a diameter,angle PQR is 90 degrees, i.e. PQ is perpendicular to QR, so their gradients multiply to -1.Thus 8/12 * -6/(a-9) = -1, so 12(a-9) = 48, so a-9 = 4, so a=13, as required.

Step-by-step explanation:

Are the two triangles similar? If so, state the reason and the similarity statement.

A) Impossible to determine
B) The triangles are not similar.
C) Yes, SSS;VWX ~ YZX
D)Yes, SAS; VWX~YZX

Answers

The ratio of the corresponding sides are different. Then the triangles are not similar. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The ratio of the corresponding sides are given as,

YX / XV = ZX / XW

3 / 9 = 2 / 8

1 / 3 ≠ 1 / 4

The ratio of the corresponding sides are different. Then the triangles are not similar. Then the correct option is B.

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1) Find the perimeter of the composite figure.

A) 23.5
B) 42.9
C) 46.9
D) 31.9

2) Find the area of the composite figure.

A) 64.25
B) 42.95
C) 39.5
D) 103.5

Answers

1) The perimeter of the composite figure is 31.9

2) The area of the composite figure is 64.25

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

There are 2 shapes: half circle and right triangle

diameter of half circle ,d=10

radius, r=d/2 = 10/2 = 5

Perimeter of half circle = π r = 3.14 * 5 = 15.7

In the right triangle,

base = 5, line perpendicular to  base = 10

hypotenuse² = squares of  other 2 sides  added

                       = 5² + 10²

                       = 25 +100

                       = 125

hypotenuse = ± √125 = ±11.18

consider positive for length

hypotenuse = 11.18

The perimeter of the composite figure

= Perimeter of half circle +base of  right triangle + hypotenuse of  right triangle

=15.7 + 5 +  11.18

= 31.9

Area of  half circle = 0.5*π *r² = 0.5*3.14*5² = 39.25

Area of  right triangle = 0.5*base * height

                                     = 0.5*5*10

                                     =  25

The area of the composite figure

=Area of  half circle + Area of  right triangle

=  39.25 +   25

= 64.25

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A person invested $8, 700 in an account growing at a rate allowing the money to
double every 15 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $23, 100?

Answers

The time it takes for the balance of the account to reach $23,100 is given as follows:

21 years.

How to model the situation?

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

a is the initial value.b is the rate of change.n is the time needed for the rate of change.

In the context of this problem, the parameter values are given as follows:

a = 8700, b = 2, n = 15.

Hence the function for the balance after x years is given as follows:

y = 8700(2)^(x/15).

Then the time needed for a balance of $23,100 is given as follows:

23100 = 8700(2)^(x/15).

2^(x/15) = 23100/8700

x/15 = log2(23100/8700)

x/15 = 1.41

x = 15 x 1.41

x = 21 years.

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Matt has 15540 legos in his collection.Clayton has 25532 legos in his collection. Carlos has half as many as the difference between the number of legos Clayton and Matt have. How many legos does Carlos have?

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The difference between Clayton and Matt's collection is 25532-15540 = 9992 legos.
Carlos has 9992/2 = 4996 legos.

What is the scale factor, without units, of 1 in : 14 ft and 1 in : 30 yard

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The scale factor for the ratios of 1 in : 14 feet and 1 in : 30 yards without units are 1: 168 and 1: 1080 respectively.

What is scale factor

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

For the ratio 1 in : 14 feet, we convert to the same unit in inches:

1 foot = 12 inches

14 feet = 12 × 14 inches

14 feet = 168 inches

1 in = 168 in

1 : 168

For the ratio 1 in : 30 yards, we convert to the same unit in inches:

1 yard = 36 inches

30 yards = 36 × 30 inches

30 yards = 1080 inches

1 in = 1080 in

1 : 1080

Therefore, the scale factor for the ratios of 1 in : 14 feet and 1 in : 30 yards without units are 1 : 168 and 1 : 1080 respectively.

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The flight time from Boston to London is 6 hours 20 minutes. I arrive London at 4:05pm. What time did I set off from Boston

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4:05pm go back 4hours and it’s 12:05, then go back another 2 hours, 10:05, then go back another 20mins and it’s 9:45am

Final Answer: 9:45am

Answer:

Step-by-step explanation:

4:05pm go back 4hours and it’s 12:05, then go back another 2 hours, 10:05, then go back another 20mins and it’s 9:45am

Find the compounded ratio of 2:3 and 9:7.​

Answers

Answer:

Step-by-step explanation:

Compound ratio of 2:3 and 9:7 is

2x9=18

3x7=21

Answer: 18:21

What is the Mode, Median, Mean and range for the following $32, $87, $67, $32, $32, $87, $77 and $25

Answers

Answer:

Mean = $54.875 ($54.88 to nearest cent because $54.875 is impossible)

Median = $32

Mode = $32

Step-by-step explanation:

Mean = all numbers added together / amount of numbers in dataset

$32 + $87 + $67 + $32 + $32 + $87 + $77 + $25 = $439

$439/8= $54.875 = $54.88 to the nearest cent.

Median =

1. Order the numbers. Here's how it's ordered: $25,$32,$32,$32,$67,$77,$87

2. Calculate the middle position with the formula [tex](n+1)/2[/tex] where n is the amount of numbers in dataset (for odd datasets) or find the two middle values (for even datasets.) In this case, it is an odd dataset, so we use the formula.

(7+1)/2 = 4

In the 4th position, the number is $32, so the median is $32.

Mode = The numbers that comes up most often.

In this case, $32 comes up 4 times, which is the most, so the mode is $32.

Brainliest please!

The Mode of the data set is $32 since it appears most frequently (3 times).

The Median is the middle value of the data set when it is ordered from least to greatest. The ordered data set is:
$25, $32, $32, $32, $67, $77, $87, $87.
The median is $32.

The Mean is calculated by summing all the values and dividing by the number of values:
$32 + $87 + $67 + $32 + $32 + $87 + $77 + $25 = $441
$441 ÷ 8 = $55.125.

The Range is the difference between the greatest and least values:
$87 - $25 = $62.

So, the Mode is $32, the Median is $32, the Mean is $55.125 and the Range is $62.

The monthly dues for a premium membership at a health club is $15 more than the cost of a standard membership.

The premium membership is $40 per month.

What is the cost of a standard membership?

please explain how you got the answer

Answers

Answer:

To find the cost of a standard membership, we need to subtract the $15 premium from the monthly premium membership cost of $40.

$40 - $15 = $25

Therefore, the cost of a standard membership is $25 per month.

the follow set of data represents orders filled per day, find the sample standard deviation: 5, 13, 9, 10, 5, 12 round your answer to one decimal place.

Answers

The Standard deviation of data(5, 13, 9, 10, 5, 12) that represents orders filled per day is 3.4

The sample standard deviation formula looks like this:

s = √Σ(X-x)² / √n-1

Where….

s = sample standard deviation

Σ = sum of…

X = each value

x = sample mean

n = number of values in the sample

We have,

Number of values in the sample, n = 6

sample mean, x = 5+13+9+10+5+2 / 6 = 9

So sample standard deviation, S = √Σ(X-x)² / √n-1

s = √58/√5

s = 7.6/2.2

s = 3.4

Therefore sample standard deviation of data that represents orders filled per day is 3.4

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A researcher interested in the effectiveness of organized diet groups on weight loss weighed five clients after several weeks on the program. The weight-loss scores (in pounds) were as follows: 13 12 6 9 9 10 Calculate the (a) range, (b) inter-quartile range, and (c) variance and standard deviation for these weight-loss scores.

Answers

Range = 7. IQR = 4.5. Variance: 8.67, Std Dev: 2.96 when researcher organized diet groups on weight loss weighed five clients after several weeks on the program.

The range of the weight-loss scores can be calculated by subtracting the smallest value from the largest value. In this case, the range would be

13 - 6 = 7.

The inter-quartile range (IQR) is calculated as the difference between the 75th percentile and the 25th percentile of the data.

IQR: 11.25 - 6.75 = 4.5

To calculate the variance, first find the mean weight-loss score by summing all the scores and dividing by the number of clients: (13 + 12 + 6 + 9 + 9 + 10) / 6 = 9.17. Next, subtract the mean from each score and square the result for each client:

[tex](13 - 9.17)^2 = 3.69\\(12 - 9.17)^2 = 1.69\\(6 - 9.17)^2 = 16.0\\(9 - 9.17)^2 = 0.02\\(9 - 9.17)^2 = 0.02\\(10 - 9.17)^2 = 0.69[/tex]

Next, sum the squared deviations and divide by the number of clients minus one (n-1):

(3.69 + 1.69 + 16.0 + 0.02 + 0.02 + 0.69) / (6-1) = 4.83

The variance is 4.83 and the standard deviation is the square root of the variance: [tex]\sqrt{(4.83)} = 2.19.[/tex]

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what quantity of 63% chlorine solution must be mixed with a 12% chlorine solution to produce 3876 ml of 15% solution

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To solve for the amount of 63% chlorine solution and 12% chlorine solution needed, we can use the equation:
m1 * v1 * c1 = m2 * v2 * c2

where m1, m2 are the masses of the solutions, v1, v2 are the volumes of the solutions, and c1, c2 are their concentrations.

Let's call the volume of the 63% solution "x". The volume of the 12% solution is (3876 - x) ml.

We can now use the equation to find the value of x:
63 * x * 1 = 15 * 3876 * 1

And:
12 * (3876 - x) * 1 = 15 * 3876 * 1

Now we have a system of two equations:

63x = 5.8364 * 3876

And:
12 * 3876 - 12x = 5.8364 * 3876

We can now solve for x:

63x = 22,719.68

x = 361.5 ml

So, 361.5 ml of the 63% solution and 3876 - 361.5 = 3514.5 ml of the 12% solution must be mixed to produce 3876 ml of 15% solution.

Beau buys a skateboard with a price tag of $82.50. The tax rate is 8%. How much does he pay, including tax?

Enter the correct answer in the box.

Answers

$89.1 is the amount paid by Beau to buy skateboard.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Beau buys a skateboard with a price tag of $82.50

The tax rate is 8%

Let us find what 8% of 82.50

Convert 8% to decimal value

8/100=0.08

0.08×82.5=$6.6

Now let us find the amount he paid including tax

$82.50+$6.6

$89.1

Hence, $89.1 is the amount paid by Beau to buy skateboard.

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Eli and Pierre wanted to buy $40 of breakfast rolls for guests. Bagels B are $1.25, and Crossiants C are $2 each. With the extra guests coming, they later increased their budget to $55.

The difference between the vertical intercepts is ________

Answers

Answer:

The difference between the vertical intercept is a ratio of 20$ so the difference in intercepts is about 2.50$ or 20 spaces.

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Is the integer x divisible by 6 ? (1) x + 3 is divisible by 3. (2) x + 3 is an odd number.Answer choices:
(a) Statement 1 alone is sufficient, but Statement 2 alone is not sufficient.
(b) Statement 2 alone is sufficient, but Statement 1 alone is not sufficient.
(c) Either statements are NOT sufficient, but BOTH together are sufficient.
(d) Each statement ALONE is sufficient.
(e) Neither statement Alone is sufficient.

Answers

For the statement "Integer x divisible by 6" the option C is correct.

Either statements are NOT sufficient, but BOTH together are sufficient.

What is integer?

The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

(1) x + 3 is divisible by 3

This means that x is a multiple of 3.

Hence x + 3 is a multiple of 3.

But x could be 0, 3, 6. If x = 3, x is not divisible by 6.

Otherwise it is.

So, this statement is insufficient.

(2) x + 3 is an odd number

This means that x is an even number.

X can be 6, or 10.

So, this statement is insufficient.

Together -

From (1) it is known that x is a multiple of 3.

Hence X can be 0,3,6,9,12,15,18,21,24,27,30.

From (2) it is known that x is even.

Hence X can be 0,6,12,18,24,30.

Therefore, x is divisible by 6.

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Suppose you purchased a shirt for $16.51​ using a coupon. If the shirt originally costs $25.40​, what was the percent discount from the coupon? Simplify your answer completely.

Answers

The discount can be found by subtracting the sale price from the original price:

$25.40 - $16.51 = $8.89

So the discount was $8.89.

To find the percent discount, we can divide the discount by the original price and multiply by 100:

$8.89 / $25.40 * 100% = 35%

Therefore, the percent discount from the coupon was 35%.

Have been completely stuck can I get some help on this?

Answers

Answer:

1/2x + 6

4

-2x + 5

Step-by-step explanation:

Find the slope (rise over run) and the y intercept for each function.

The ratio of cats to dogs is 4:5 if there are 20 dogs how many are there ?


SHOW YOUR WORKG!

Answers

Answer: 16 cats

Step-by-step explanation: how many times does 5 go into 20?? 4 times (5x4) so you multiply 4 by 4

Find the value of Y.

Answers

The value of y is 13√2 (optionB)

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Sin(tetha) = opp/hyp

cos (tetha) = adj/hyp

tan(tetha) = opp/adj

therefore cos 45 = 13/y

1/√2 = 13/y

y = 13√2

therefore the value of y is 13√2

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If h(x) =x+2 , g(x) =x² and f(x) =-x , find the values of x for which gh(x) =f(x)

Answers

The values of x for which gh(x) = f(x) are -1 and -4.

As a result, we have gh(x) = g(h(x)) = g(x + 2). ² = x² + 4x + 4 f(x) = -x

The equation must be solved in order to determine the range of x values for which gh(x) = f(x):

x² + 4x + 4 = -x

When all the phrases are moved to the left, we obtain:

x² + 5x + 4 = 0

This quadratic equation has the following factors:

(x + 1)(x + 4) = 0

Thus, either x + 1 = 0 or x + 4 = 0 is the answer.

We obtain x = -1 or x = -4 after solving for x.

Hence, -1 and -4 are the values of x for which gh(x) = f(x).

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Convert the number to scientific notation.
120,000,000,000,000

Answers

Answer:

1.2 x [tex]10^{14}[/tex]

Step-by-step explanation:

Scientific notation OR standard form:

This is expressed in powers of 10 (i.e [tex]10^{x}[/tex])

If the decimal point cannot be visibly seen, you can deduce that the decimal point is currently located after the last digit (i.e0).

For the number to be expressed in scientific notation, the decimal point has to be placed right after the first digit (which is NOT a zero) in the left most direction.


For this number, the decimal point has to be placed right after the ‘1’.  Therefore, the decimal point will be moving 14 places to the left. In addition, this 14 is considered as the positive power of 10.

Answer:

1.2 × 10¹⁴

Step-by-step explanation:

Scientific notation is written in the form [tex]a \times 10^n[/tex], where [tex]1 \leq a < 10[/tex] and [tex]n[/tex] is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one non-zero digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 (the value of n).

If the decimal point has moved to the left, n is positive.If the decimal point has moved to the right, n is negative.

Therefore, to convert 120,000,000,000,000 to scientific notation, move the decimal point 14 places to the left so that [tex]a[/tex] is 1.2.

As the decimal point has been moved 14 places the left, we need to multiply 1.2 by 10¹⁴.

Therefore,  120,000,000,000,000 = 1.2 × 10¹⁴.

Which of the following is not equivalent to 23 + ( − 27 ) − 16 − ( − 32 )

Answers

The expression that is not equivalent is 23 + (-27) + 16 + 32. Option C

What is PEDMAS?

PEDMAS is described as a mathematical acronym that represents the arithmetic operations in the other of their usage in calculation.

They are;

ParenthesesExponentDivisionMultiplicationAdditionSubtraction

From the information given, we have that;

23 + ( − 27 ) − 16 − ( − 32 )

expand the parentheses, we get;

23 - 27 - 16 + 32

Add the values

23 - 27 - 16

Now, subtract the values

-20

Hence, the value is -20

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The complete question

Which of the following is not equivalent to 23 + ( − 27 ) − 16 − ( − 32 )

23 - 27 - 16 + 3223 - 27 - 16- (-32)23 + (-27) + 16 + 3223 + (-27) + (-16)- (-32)

Approximate the area between the x-axis and the graph of f(x) = x² + 3 over the interval [0, 2]
by calculating the sum of the areas of 4 rectangles with…….

Answers

The approximate area between the x-axis and the function, f(x) = x² + 3, obtained by finding the sum of the of the four rectangles is Area ≈ 9.75

What is the area between the x-axis and the graph of a function?

The area between the x-axis and the graph under a function can be referred to as the area under a curve of the function, which can be found using definite integrals.

The area between the x-axis and the function f(x) = x² + 3 over the interval [0, 2], can be found by finding the area of the rectangular bars, A, in the figure as follows;

The values at the endpoints of the rectangles are; 0.5, 1, 1.5, and 2

Therefore;

f(0.5) = 0.5² + 3 = 3.25

f(1) = 1² + 3 = 4

f(1.5) = 1.5² + 3 = 5.25

f(2) = 2² + 3 = 7

Therefore; A = 0.5 × f(0.5) + 0.5 × f(1) + 0.5 × f(1.5) + 0.5 × f(2)

Plugging in the values of the function, we get;

Area ≈ 0.5 × 3.25 + 0.5 × 4 + 0.5  × 5.25 + 0.5 × 7 = 9.75

The approximate area between the x-axis and the graph of f(x) = x² + 3 over the interval [0, 2] is about 9.75 square units

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Help please! Easy points!

Answers

angle CAB = 23
angle ACB = 80

The diagonals of EFGH intersect at point M. if HM =37

Answers

Answer:

If HM = 37, then ML = 37 as the diagonals of EFGH intersect at point M.

Step-by-step explanation:

To solve the diagonals of EFGH intersecting at point M, if HM = 37, first graph the points on a coordinate grid and draw the diagonals. Then use the Pythagorean Theorem to calculate the length of HM. Finally, use trigonometry to calculate the angle measure of FHG.

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