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In the figure, j∥k and m∠1 = 63°.

What is the m∠4?

Step-by-step explanation:

In the place of f(x) plug in 54 and then simplify the eqaution.

\(54 = {x}^{2} + 3\\ {x}^{2} + 3 = 54 \\ {x}^{2} + 3 - 54 = 0 \\ \\ {x}^{2} -51 =0

{x}^{2}=51

x=(+-) the square root of 51

Plotting of function S(x) = x + x³ - 2x² + 9x + 3 using Excel is explained.

To plot the given function S(x) = x + x³ - 2x² + 9x + 3 using Excel, follow the steps below:

Step 1: Open Microsoft Excel and create a new spreadsheet.

Step 2: In cell A1, type "x". In cell B1, type "S(x)".

Step 3: In cell A2, enter the first value of x, which is -4. In cell B2, enter the formula "=A2+A2^3-2*A2^2+9*A2+3" and hit enter.

Step 4: Click on cell B2 and drag the fill handle down to cell B21 to apply the formula to all cells in the column.

Step 5: Highlight cells A1 to B21 by clicking on cell A1 and dragging to cell B21.S

tep 6: Click on the "Insert" tab at the top of the screen and select "Scatter" from the "Charts" section.

Step 7: Select the first option under "Scatter with only markers".

Step 8: Your graph should now be displayed.

To change the axis labels, click on the chart and then click on the "Design" tab. From there, you can customize the chart as needed.

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The appropriate way to visualize a list of the eye colors of 120 people is pie chart and dot plot.

A pie chart is a circular statistical graphic in which the slices represent numerical proportions. In a pie chart, the arc length of each slice reflects the amount it stands for.

Pie charts can be used to show percentages of a whole group and show percentages at a particular moment. In contrast to bar graphs and line graphs, pie charts do not show changes over time.

A dot plot, also known as a strip plot or dot chart, is a simple style of data visualization in which data points are shown as dots on a graph with an x- and y-axis.

The things you and your partner choose to eat are a wonderful example.

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The following question may be like this:

What is an appropriate way to visualize a list of the eye colors of 120 people? select all that apply.

Mrs. Frizzle can assign her students to lab groups of two or three students in 18 and 12 ways respectively.
To find the number of ways to form lab groups of two students, we need to calculate the number of combinations of 9 students taken 2 at a time. This can be represented as "9C2" or "9 choose 2".

The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of objects to choose from and r is the number of objects to choose.
So, for lab groups of two students, the calculation would be:
9C2 = 9! / (2!(9-2)!)
    = 9! / (2!7!)
    = (9 * 8 * 7!) / (2! * 7!)
    = (9 * 8) / 2!
    = 36 / 2
    = 18
Therefore, there are 18 ways to form lab groups of two students.

To find the number of ways to form lab groups of three students, we need to calculate the number of combinations of 9 students taken 3 at a time. This can be represented as "9C3" or "9 choose 3".

Using the same formula for combinations, the calculation would be:
9C3 = 9! / (3!(9-3)!)
    = 9! / (3!6!)
    = (9 * 8 * 7!) / (3! * 6!)
    = (9 * 8) / 3!
    = 72 / 6
    = 12
Therefore, there are 12 ways to form lab groups of three students.

In conclusion, Mrs. Frizzle can assign her students to lab groups of two or three students in 18 and 12 ways respectively.

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Answer:

7.52 million divided by 1

Step-by-step explanation:

Answer: the written expression would be b - 10

Step-by-step explanation:

Step-by-step explanation:

The numerical expression is:

(36 + 14) / (2 * 5).

The numerical expression for the given statement "The sum of thirty-six and fourteen divided by the product of two and five" can be written as (36+14)/(2×5).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement can be written in the form of an expression as shown below.

Hence, the numerical expression for the given statement "The sum of thirty-six and fourteen divided by the product of two and five" can be written as (36+14)/(2×5).

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The distance between the given points which are (1, 2) and (1, -10) is equal to 12 units.

To find the distance between two points in a coordinate plane, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Where d is the distance between the two points, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Using this formula, we can find the distance between (1, 2) and (1, -10):

d = √((1 - 1)² + (-10 - 2)²)

= √(0² + (-12)²)

= √(144)

= 12

We can also visualize this by drawing a straight line segment connecting the two points and measuring its length.

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True, a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations.

What does standard deviation mean ?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

                                Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

What does a simple random sample mean?

A subset of participants is randomly chosen from a population by the researcher using simple random sampling, a sort of probability sampling.

                          The probability of being chosen is the same for every person in the population. Then, data are gathered from as much of this randomly selected subgroup as possible.

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Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;

1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;

\(6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i\)

The coordinates of checkpoint C is therefore; (5, 0)

2. The easier way to get to checkpoint C from point B is to go south 5 units.

3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.

The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.

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Answer:

5, 0

5 units south

adding motions based on direction

Step-by-step explanation:

Answer:

Please check the attached file.

Hope this helps!

:)

Answer:

the side opposite to right angle is hypotenuse ,AB is side opposite to thita nd BC is the side adjacent to thita.

I don't understand your question

Sorry!!! :)

Answer:

and yeah ikr I don't understand why

Answer: 5x - 1

Step-by-step explanation: 3x + 2x = 5x and -6 + 5 = -1, so 5x - 1.

Answer:

The sum of (3x – 6) + (2x + 5) is 5x - 1

Step-by-step explanation:

(3x - 6) + (2x + 5)

3x - 6 + 2x + 5

3x + 2x - 6 + 5

5x - 1

Thus, The sum of (3x – 6) + (2x + 5) is 5x - 1

-TheUnknownScientist

Answer:

C. Equally likely

Step-by-step explanation:

1/2=0.5=50% probability

Answer:

The 3 integers are 6 8 and 10

Step-by-step explanation:

Comment

Start with the median. That's the middle number of an ordered set of numbers.

a 8 b               is what you have so far.

Now the range between a and b is 4 which means that a and b differ by 4.

a + 4 =  b

The mean will solve this quickly. Put a + 4 for b

[(a + 8  + a + 4)]/3 = 8            Combine like terms

(2a + 12)/3 = 8                       Multiply both sides by 3

3 (2a + 12)/3 = 8 *3              

2a+12 = 24                            Subtract 12 from both sides

2a + 12 - 12 = 24-12               Combine

2a = 12

a = 6

but we know that the range between a (which is 6 ) and b is a + 4 = 10

So b must equal 10

Answer:

x=12

Step-by-step explanation:

this may be wrong if the first equation where y is 9 and x is 8 is meant to be switched

The balance at the end of 3rd month is $899.91.

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

A person decide to buy a guitar for $1257. With tax the total comes to $1357.56 and the monthly interest rate is 1.7%.

Monthly payment is $150.

Monthly payment including interest

= 150+1.7% of 150

= 150+1.7/100 ×150

= 150+0.017×150

= 150+2.55

= $152.55

So, balance at the end of 3rd month

= 1357.56-3(152.55)

= 1357.56-457.65

= $899.91

Therefore, the balance at the end of 3rd month is $899.91.

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Answer:

(i) 5/2 mod 6

5/2 = x

( cross multiply )

2x = 5

( Find the smallest multiple of 5 that can go in both 2 and 5)

The number = 10

2x = 10

(divide both sides by 2 to make x the subject)

x = 5

Ans: 5 mod 6

(ii) 9/7 mod 7

9/7 = x

( cross multiply )

7x = 9

( Find the smallest multiple of 9 that can go in both 7 and 9)

That no = 63

7x = 63

Divide both sides by 7 to make x the subject)

x = 9

Ans: 9 mod 7

(iii) 6/5 mod 7

6/5 = x

( cross multiply )

5x= 6

( Find the smallest multiple of 5 that can go in both 6 and 5)

No: 30

5x = 30

(D.B.S by 6 to make x subject of the formula)

x = 6

Ans: 6 mod 7

The expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 35 + t.

In this question, we have been the amount in location A is given by a function A(t) = 10 + 2t

And the amount in location B is given by a function : B(t) = 25 − t

We need to find an expression that can be used to determine the total amount of credit cards opened at the two locations.

The total amount combined between A and B is given as,

(A + B)(t) = 10 + 2t + 25 - t

(A + B)(t) = 10 + 25 + 2t - t

(A + B)(t) = 35 + t

Therefore, the expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 35 + t.

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The slope of the line perpendicular to the given line is 1/6.

In Mathematics and Geometry, perpendicular lines can be defined as two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of the first line is given  by:

slope (m) = -6

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-6 × m₂ = -1

-6m₂ = -1

Slope, m₂ = 1/6

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Complete Question:

Find the slope of the line perpendicular to the given line.

y = -6x + 10

Answer:

your study guide can be stuck up you know where :3

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

The probability of having one white ball is 1/20 or approximately 0.05.

To find the probability of selecting one white ball out of three balls, you need to know the number of white balls in the box and the total number of balls in the box. You also need to know whether the balls are being selected randomly or not.

Assuming that there is only one white ball in the box and the rest are some other color, and that the balls are being selected randomly.

The probability of selecting one white ball out of three would be:

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Since there is only one white ball, there is only one way to select one white ball out of three. The total number of ways to select three balls out of six is 6 choose 3, which is equal to 20.

Therefore, the probability of selecting one white ball out of three would be

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Probability = 1/20

Probability = approximately 0.05.

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There is a 136.13 probability that 3 won't increase.

Only 0.65% of seeds will grow into robust plants.

There is a 0.35 probability that a seed won't grow into a robust plant.

In this case, n = 12 and r = 3.

11 seeds will sprout if 1 seed doesn't germinate. Raising 0.65 to the power of 11 and 0.35 to the power of 3 will result in the following: 11 seeds develop, and we use the 11th power; 3 seeds do not grow, so we use the power of 3:

So, the response is:

\({}^{12}C_3\) × \({(chance of successful growth) }^{11}\)x \((chance of Unsuccessful growth)^3\)

= \({}^{12}C_3\) × \(0.65^{11}\) × \({0.35}^3\)

= 362880 × 0.008750 × 0.042875

= 136.13

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