Geometry
Problem 1
Billy is flying a kite and has let out 110 feet of string. The kite gets tangled on the
roof of a 40-foot tall house.
1. What is the angle of elevation of Billy's kite?
2. How far is Billy from the house?

The model that is most likely rule out on the basis of this simulation is 40%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

First set of trials:  ththththht ( where T = Tails ; H = Heads)

Number of heads = 5

Number of outcomes = 10

Second set of trials: ttthtthtth

Number of heads = 3

Number of outcomes = 10

Total number of heads = 5 + 3 = 8

Total number of outcomes = 10 + 10 = 20

Probably of heads = 8/20 * 100%

Probably of heads = 0.4*100%

Probably of heads = 40%

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True. in an assignment a(:) = b, the number of elements in a and b must be the same.

In MATLAB, the assignment statement a(:) = b is used to assign the elements of b to the elements of a in a column-wise fashion. For this to work, the number of elements in a and b must be the same. If the number of elements in b is less than that of a, then the remaining elements of a will retain their previous values. If the number of elements in b is greater than that of a, then an error will occur.

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You would add 5x + 2x = 7x

Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45

and do it for  7(5)= 35-1 = 34 too

You can't make them equal

Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x.  We're basically un-distributing the common factor from each term.

And now with (5+2)x, we can add the 5 and 2 to get 7x.

If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:

    (5)(9)+(2)(9)=45+18=63

    (7)(9)=63

If we substitute 9 into 7x-1, then we end up with 63-1 = 62.

In fact, any number we put into 5x+2x will always be one more than 7x-1.  So, no, there doesn't seem to be any value of x that would make these equal.  Since 5x+2x=7x, then 7x-1 will always be one less than 7x.

A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections. What is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book is 0.114.

To arrive at this answer, we use the formula for calculating the probability of independent events, which is the product of the probabilities of each event. In this case, the probability of choosing a fiction book on the first selection is 8/18, since there are eight fiction books out of a total of 18 books. The probability of choosing a nonfiction book on the second selection is 10/17, since there are now only 17 books left after the first selection and 10 of them are nonfiction. The probability of choosing a fiction book on the third selection is 7/16, since there are now only 16 books left and seven of them are fiction. Multiplying these probabilities together, we get:

(8/18) x (10/17) x (7/16) = 0.114

Therefore, the approximate probability that the librarian chooses a fiction book, then a nonfiction book, then a fiction book is 0.114.

we can say that the probability of choosing the next three book club selections in the order of fiction, nonfiction, fiction is approximately 0.114.
 The approximate probability that the librarian chooses a fiction book, then a nonfiction book, then a fiction book is 0.131.


1. First, calculate the probability of choosing a fiction book, a nonfiction book, and a fiction book in sequence.
2. Probability of choosing a fiction book first: 8 fiction books / 18 total books = 8/18.
3. After choosing a fiction book, there are 17 total books left (10 nonfiction and 7 fiction). Probability of choosing a nonfiction book next: 10 nonfiction books / 17 total books = 10/17.
4. After choosing a nonfiction book, there are 16 total books left (9 nonfiction and 7 fiction). Probability of choosing a fiction book last: 7 fiction books / 16 total books = 7/16.
5. To find the overall probability, multiply the probabilities from each step: (8/18) * (10/17) * (7/16) ≈ 0.131.

The approximate probability that the librarian chooses a fiction book, then a nonfiction book, then a fiction book is 0.131.

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Answer: 18

Step-by-step explanation:

The value of x is 10

From the diagram shown, we can see that it takes the shape of a   parallelogram

The properties of a parallelogram includes;

We can see that the diagonal bisects the parallelogram into equal halves and then the parallel and opposite sides are equal.

If the opposite sides of x = 10

Then, x = 10

Hence, the value is 10

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Answer: 9

Step-by-step explanation:

25x9 = 250+ tax

Answer:

5.0 m/s

Step-by-step explanation:

The average speed is 5.0 m/s.

The distance covered in a unit of time is known as speed.

Given that, Sarah ran 400 m in 80 s.

The formula for the speed is:

speed = distance/time

Substitute distance = 400 m and time = 80 s into the above equation:

speed = 400/80

speed = 5.0 m/s.

Hence, the average speed is 5.0 m/s.

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True, a pie chart should be considered when you have just one data series to plot. A pie chart is a circular chart that is divided into slices to represent numerical proportions.

Each slice of the pie chart represents a category or percentage of a whole. Pie charts are useful when you want to display relative proportions or percentages of a single data series. They are easy to understand and provide a quick visual representation of data. However, pie charts are not recommended for complex data sets or when comparing multiple data series. In such cases, a bar chart or a line graph may be a better option. It is important to choose the right type of chart based on the nature of the data and the purpose of the visualization.

True, a pie chart should be considered when you have just one data series to plot. A pie chart is a circular graphical representation of data that displays the size of items in one data series as a proportion of the total sum of the items. The individual data points are shown as slices or segments of the pie, with each segment's size representing the proportion of the whole.

Pie charts are particularly useful for visualizing percentages and proportions of a whole, and they work best when there are a limited number of categories in the data series. They are simple and easy to understand, making them a popular choice for presenting information to a broad audience.

However, pie charts may not be the best choice for every situation. If there are too many categories, the segments may become too small to easily distinguish between them. Additionally, if you need to compare multiple data series or trends over time, other chart types, such as bar or line charts, might be more appropriate.

In summary, pie charts are an effective choice for visualizing a single data series with a limited number of categories, especially when the goal is to show proportions or percentages. If these conditions are met, a pie chart can be a useful and easily understood way to display your data.

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Answer:

Step-by-step explanation:

2x + 3y - x - 9

x + 3y - 9

We can find d using pythagorean theorem:

Answer:

Step-by-step explanation:

The imaginary number 'i' is equal to the square root of -1. If you were to square the square root, they both cancel and you get -1.

\(21i^2=21(\sqrt{-1} )^2=21(-1)=-21\)

SOLUTION

SUM OF ANGLES IN A TRIANGLE = 180 degrees

Answer:

Step-by-step explanation:

Note:

Circumference of a circle = \(\pi d\)

Where d = diameter

We are given the diameter is 20cm, d = 20

Circumference of circle = \(\pi d\) = 20 \(\pi\)

Also, perimeter of a rectangle = 2 times length + 2 times width

We are told the length = 18 , width = x

Perimeter of rectangle = 2 times 18 + 2 times x

Perimeter of rectangle = 36 + 2x

The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:

So this means:

Since Circumference of circle = 20\(\pi\)  ,

Perimeter of rectangle = 36 + 2x .

We can write:

Circumference of circle = perimeter of rectangle

20\(\pi\)   = 36 + 2x

Subtract 36 from both sides

20\(\pi\) - 36   = 2x

Divide both sides by 2 to solve for "x".

x = \(\frac{20\pi - 36 }{2} = ?\)

Plug it into your calculator and then just round it to 1 decimal place.

Answer:

A mayb

Step-by-step explanation:

175/ 1/3

=58+17

=75

Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

answer:

A

Step-by-step explanation:

If you reflect over line A both pentagons are equally spaced in proportion to the line

Step-by-step explanation:

The scale of the drawing is 900 centimeters.

It is required to find the solution.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The parking lot = 54 meters wide

For drawing= 6 centimeters

According to given question we have,

First convert meters into centimeters we have,

54  meters= 5400 centimeters

The scale of the drawing

=5400/6

=900 centimeters.

Therefore, the scale of the drawing is 900 centimeters.

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Answer:

Over 1sec 5J

Step-by-step explanation:

2min =120sec

6000÷120=5

Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

Answer:

to me I think it's the 3rd one

Answer:

2000

Step-by-step explanation:

3 < 5 so 2354 = 2000

Answer:

2400

Step-by-step explanation:

Answer: b

Step-by-step explanation: trust me i have done that question before

Answer:

A) 100+55x > 150+51x

B) x>12.5

C)13

Step-by-step explanation:

Bc I said so lol :)

Answer:

again hello dude :D

answers are at the photos

GOOD LUCK :D

Step-by-step explanation:

greetings from Turkey ツ

Answer:

The first step is to subtract 9 from each side

Step-by-step explanation:

2x+9=21

The first step is to subtract 9 from each side

2x+9-9 = 21-9

2x = 12

Then divide by 2 on each side

2x/2 = 12/2

x = 6

Answer:

That would be to collect like terms

Step-by-step explanation:

Further explanation

\(2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6\)

The exact probability that the absolute value of the difference between the sample sum of the labels and -581.4 exceeds 31.54 is approximately 0.1128 or 11.28%.

To find the exact probability, we will use the properties of the normal distribution.

Let X be the random variable representing the sum of the labels on the tickets. We know that the mean of X (μ) is -581.4 and the standard deviation of X (σ) is √(17) × 4.5.

We want to find the probability that the absolute value of the difference between X and -581.4 exceeds 31.54. In other words, we want to find P(|X - (-581.4)| > 31.54).

Convert the inequality into a standard normal distribution form.

The standard normal distribution has a mean of 0 and a standard deviation of 1. To convert X to a standard normal random variable Z, we use the formula:

Z = (X - μ) / σ

In our case:

Z = (X - (-581.4)) / (√(17) * 4.5)

Calculate the Z-score.

Z = (31.54) / (√(17) * 4.5) ≈ 1.591

Find the probability using a standard normal distribution table or a calculator.

P(Z > 1.591) ≈ 0.0564 (rounded to four decimal places)

Account for both tails of the distribution.

Since we are interested in the absolute difference, we need to consider both tails of the normal distribution. Therefore, the total probability of the absolute difference exceeding 31.54 is:

P(|X - (-581.4)| > 31.54) = 2 P(Z > 1.591) ≈ 2 × 0.0564 ≈ 0.1128

So, the exact probability that the absolute value of the difference between the sample sum of the labels and -581.4 exceeds 31.54 is approximately 0.1128 or 11.28%.

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Answer:

so since their goal is to get $450 and each candy box is $3.75, what you do is  divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.

Step- by-step explanation: