I am thinking of a number.
I multiply it by 6 and add 87.
I get the same answer if I multiply
by 11 and subtract 8.
What is my number?

The true statement about right-angle triangle ABC is that: A. sin(A) = cos(C) and cos(A) = sin(C).

In order to determine the angles, we would apply basic trigonometry. From the diagram of the right-angled triangle shown below, we can deduce the following parameters:

By applying the basic trigonometry functions, we have:

sin(A) = Opp/Hyp = a/c.

sin(C) = Opp/Hyp = c/b.

cos(A) = Adj/Hyp = c/b.

cos(C) = Adj/Hyp = a/c.

From the above, we can logically deduce that sin(A) is equal to cos(C) and cos(A) is equal to sin(C).

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Answer:

Step-by-step explanation:

The true statement about right-angle triangle ABC is that: A. sin(A) = cos(C) and cos(A) = sin(C).

How to apply basic trigonometry?

In order to determine the angles, we would apply basic trigonometry. From the diagram of the right-angled triangle shown below, we can deduce the following parameters:

Angle (θ) = 45°.

Opposite (Opp) side = a.

Hypotenuse (Hyp) = c.

Adjacent (Adj) side = b.

By applying the basic trigonometry functions, we have:

sin(A) = Opp/Hyp = a/c.

sin(C) = Opp/Hyp = c/b.

cos(A) = Adj/Hyp = c/b.

cos(C) = Adj/Hyp = a/c.

From the above, we can logically deduce that sin(A) is equal to cos(C) and cos(A) is equal to sin(C).

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The probability that the first person picked will be female is 2/5.

Two quantities are compared to form a ratio. Discover how to calculate the ratio of two items, such as apples to oranges.

Total audience = 120

Ratio of males to females; 3:2

Total males : 3*120/ 5 = 72

Total females: 2*120/5 = 48

Probability that the first person picked will be female = total females / total audience

Probability = 48 / 120

Probability = 2/5

Thus, the probability that the first person picked will be female is 2/5.

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The 3rd term of the linear sequence is 14

A linear sequence is a sequence of numbers which each successive term increases or decreases by a given value.

Given the linear sequence 22, 18, 14, 10, 6,... We want to find the 3rd term

The general term of a linear sequence is Uₙ = a + (n - 1)d where

In the linear sequence above a = 22. We notice that the second term is U₂ = 18

= a + d

Now d = U₂ - a

= 18 - 22

= -4

Now for the third term, n = 3

So, U₃ = a + (n - 1)d

= a + (3 - 1)d

= a + 2d

Substituting the values of the variables into the equation, we have that

U₃ = a + 2d

= 22 + 2 × (-4)

= 22 - 8

= 14

So, the 3rd term is 14

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Answer:

liter

Step-by-step explanation:

The basic unit of volume in the metric system is a liter.

because we measure volume (v) in liters.

Therefore, the answer is liter

Info related to the question : −

Answer:

9,13

Step-by-step explanation:

perimeter=2(x+y)

length = 2x-5

2(3x-5)=44

6x-10=44

6x=54

x=9

y=13

Hope this helps plz mark brainliest :D

Bayes' Theorem is a mathematical theorem that enables the revision of prior probabilities based on new information or evidence.

This theorem is widely used in statistics, machine learning, and other fields that deal with uncertainty and probabilistic reasoning. Contrary to the first option mentioned in the question,

Bayes' Theorem can be used when conditional probabilities are known, and it enables the calculation of posterior probabilities, which is the probability of a hypothesis or event given the available evidence.

Therefore, the third option is correct; Bayes' Theorem enables the use of sample information to revise prior probabilities. This theorem is highly valuable because it allows the integration of new data or knowledge into the decision-making process,

which can lead to more accurate predictions and better-informed decisions. In summary, Bayes' Theorem is a powerful tool that requires knowledge of probabilities and enables the calculation of posterior probabilities based on new evidence or information.

By combining prior probabilities with likelihoods (based on new data), we can calculate posterior probabilities, which represent our updated knowledge.

This process is crucial in making informed decisions in various fields, such as data science, finance, and medical diagnosis.

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Answer:

1. Even Chance

2. Even Chance

3. No Chance

4. No Chance

5. Even Chance

(NOT SURE)

(but im sure)

The average monthly temperature in your community, recorded every month for three years, could be represented by a periodic function. A periodic function is a function that repeats its values at regular intervals. In this case, the average monthly temperature data repeats on a yearly basis.

To explain further, let's consider an example. Suppose you have recorded the average monthly temperature in your community for three years. Each year, the temperature follows a similar pattern, with peaks during the summer months and lower temperatures during the winter months. This pattern repeats itself every year.

By plotting the average monthly temperature on a graph, with time on the x-axis and temperature on the y-axis, you would observe a repeated pattern. The graph would show peaks and valleys that occur at regular intervals, indicating a periodic behavior. In summary, the average monthly temperature in your community, recorded every month for three years, can be represented by a periodic function because it exhibits a repeated pattern on a yearly basis.

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Rounding 2646.3636 to one significant figure, the estimated answer is 3000.

To estimate the answer to 71 x 8.2 / 0.22 and round to one significant figure, we need to perform the calculations and apply the rounding rule.

First, let's perform the multiplication: 71 x 8.2 = 582.2.

Next, we divide the result by 0.22: 582.2 / 0.22 = 2646.3636 (rounded to 4 decimal places).

Now, we need to round the result to one significant figure.

The general rule for rounding is to look at the digit immediately to the right of the desired significant figure.

If that digit is 5 or greater, we round up; if it is less than 5, we round down.

In this case, the digit immediately to the right of the desired significant figure is 6.

Since 6 is greater than 5, we round up the desired significant figure, which is the first digit, to the next higher number.

Therefore, rounding 2646.3636 to one significant figure, the estimated answer is 3000.

Please note that rounding to one significant figure may result in a loss of precision and significant digits in the final answer.

It is important to consider the context and accuracy requirements when rounding to a specific number of significant figures.

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Step-by-step explanation:

'x plus five is twenty three'

Answer:

x+5=23

Step-by-step explanation:

354 Valencia student tickets and 133 non-student tickets were sold.

Let's use algebra to solve the problem. Let

x be the number of Valencia student tickets sold

y be the number of non-student tickets sold

We know that

x + y = 487 (the total number of tickets sold is 487)

14x + 25y = 8391 (the total receipts from ticket sales is $8391)

We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y

y = 487 - x

Here we have to use the substitution method, we can then substitute this expression for y into the second equation

14x + 25(487 - x) = 8391

Simplifying and solving for x

14x + 12275 - 25x = 8391

-11x = -3884

x = 354

So, 354 Valencia student tickets were sold. We can use the first equation to find y

x + y = 487

354 + y = 487

y = 133

So, 133 non-student tickets were sold.

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Mrs. Sherwood's estimate of her car being able to do 50 trips on one charge is a slightly high but overall a good estimate, as the actual number of trips is approximately 49.

To determine if Mrs. Sherwood's estimate of her electric car being able to do 50 trips on one charge is a good estimate, we need to calculate the total miles per trip and compare it to the car's maximum range.

Step 1: Calculate the total miles per trip.
She drives 3 miles to school and 3 miles back, so:
Total miles per trip = 3 miles + 3 miles = 6 miles

Step 2: Calculate the number of trips her car can do on one charge.
Her car can go about 295 miles on a full charge. To estimate the number of trips, divide the total range by the miles per trip:
Number of trips = 295 miles / 6 miles = 49.1666 trips

Since a trip can't be a fraction, we can round it down to 49 trips.

In conclusion, we can state that Mrs. Sherwood's estimate of her car being able to do 50 trips on one charge is a slightly high but overall a good estimate, as the actual number of trips is approximately 49.

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Answer:

\(g(x) = {2(x + 3)}^{2} - 1\)

Answer:

about $0.13

Step-by-step explanation:

Answer:

13 cents

Step-by-step explanation:

1.59 divided by 12

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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Answer:

The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.

Step-by-step explanation:

The given length of the line segment is 20 units.

The line segment is translated up 6 units and left 8 units.

Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.

So, the length of the line segment is preserved on translation.

After translation, the length of the line remains unchanged.

So, the length of the resulting line segment is 20 units.

Explanation:

Given that:

We will obtain the following trigonometric identities as shown below:

Then,

Then,

Answer:

129.82

Step-by-step explanation:

I got the right answer

The cost to make the spinner is $132.50.

The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters.

The area of each triangle is (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters.

The total area of the spinner is 2 * 5 = 10 square centimeters.

The cost to make the spinner is 10 * $13.25 = $132.50.

Rounded to the nearest cent, the cost is $132.51.

Here is the calculation:

Area of each triangle = (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters

Total area of the spinner = 2 * 5 = 10 square centimeters

Cost to make the spinner = 10 * $13.25 = $132.50

Rounded to the nearest cent, the cost is $132.51

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Let the event that a tree has disease be D and the event that tree is being damaged by insects be I.

Therefore,

Recall that:

The required probability is given by:

Hence, the required probability is 20%=0.2

Answer:

function 2

function 1

function 3

Step-by-step explanation:

function 1 has a slope of -2, function two has a slope of -8/3 or approximately -2.6 function three has a slope of -11/6 or approximately -1.8

Answer:

17=s+7

-7    -7

-----------

10    0

s=10

Step-by-step explanation:

-Subtract 7 from both sides

-Remove the 0 and the addition sign

-You are now left with the equation s = 10

-Once you check to make sure 10 + 7 = 17 you have your answer

Hope this helps :))

Answer:

Step-by-step explanation:

A+B+C = 90°

A ≤ B ≤ C

C = 3A

B = 2A

A+B+C = A + 2A + 3A = 6A = 90°

A = 15°

B = 2A = 30°

C = 3A = 45°

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

\(\textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{(x+4)^2}{400}~~ + ~~\cfrac{(y+3)^2}{144}~~ = ~~1\implies \cfrac{[x-(-4)]^2}{20^2}~~ + ~~\cfrac{[y-(-3)]^2}{12^2}~~ = ~~1 \\\\\\ \begin{cases} h=-4\\ k=-3\\ a=20\\ b=12 \end{cases}\qquad \qquad c=\sqrt{20^2-12^2}\implies c=\sqrt{256}\implies \boxed{c=16} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{center}{(-4,-3)}\qquad vertices \begin{cases} (\stackrel{-4-20}{-24}~~,~~-3)\\\\ (\stackrel{-4+20}{16}~~,~~-3) \end{cases}\qquad foci \begin{cases} (\stackrel{-4-16}{-20}~~,~~-3)\\\\ (\stackrel{-4+16}{12}~~,~~-3) \end{cases}\)

The probability that a New Yorker who possesses a cat also owns a dog is 0.103. if a new yorker is chosen at random.

New Yorkers own a dog (D) = 30%

New Yorkers own a cat (C) =  25%

New Yorkers own a cat and dog = 15%

This problem can be calculated using Bayes' theorem, which notes that the possibility of an event A given event B is equal to the possibility of event B given A times the probability of A, divided by the probability of event B.

P(D) = 0.30

P(C) = 0.25

P(C|D) = 0.15

Using Bayes' theorem:

P(D|C) = P(C|D) * P(D) / P(C)

P(C) = \(P(C|D) * P(D) + P(C|not D) * P(not D)\)

P(C) = \(P(C|D) * P(D) + P(C) * P(not D)\)

P(C) =\(P(C|D) * P(D) / (1 - P(D) * P(C|not D))\)

Now we can substitute these values into the Bayes' theorem formula:

P(D|C) = P(C|D) * P(D) / P(C)

P(D|C) = \(0.15 * 0.3 / (P(C|D) * P(D) + P(C) * P(not D))\)

P(D|C) = \(0.15 * 0.3 / (0.15 * 0.3 + P(C) * 0.7)\)

P(C) = \(0.15 * 0.3 / (1 - 0.3 * 0.25)\)

P(C) = 0.16

P(D|C) = \(0.15 * 0.3 / (0.15 * 0.3 + 0.16 * 0.7)\)

P(D|C) = 0.103

Therefore, we can conclude that the probability that a New Yorker who owns a cat also owns a dog is 0.103.

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Answer:

y=-2x+15

Step-by-step explanation:

Hi there!

We are given that m=-2, b=15, and we want to write the equation of the line, given these values

We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.

Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.

Substitute -2 as m:

y=-2x+b

Substitute 15 as b:

y=-2x+15

Hope this helps!

The population of a bird is modelled by the function P = 500 + 90 log10(10(t + 3)). We need to find the initial population, the population after 4 months, and the time it takes for the population to reach 700.

a) The initial population is the population when t = 0. Substituting t = 0 into the equation, we get:

P = 500 + 90 log10(10(0 + 3))

P = 500 + 90 log10(30)

P ≈ 500 + 90(1.4771)

P ≈ 500 + 132.939

P ≈ 632.939

Therefore, the initial population is approximately 632.939.

b) To find the population after 4 months, we substitute t = 4 into the equation:

P = 500 + 90 log10(10(4 + 3))

P = 500 + 90 log10(70)

P ≈ 500 + 90(1.8451)

P ≈ 500 + 166.059

P ≈ 666.059

Therefore, the population after 4 months is approximately 666.059.

c) To determine the time it takes for the population to reach 700, we set the equation P = 700 and solve for t:

700 = 500 + 90 log10(10(t + 3))

200 = 90 log10(10(t + 3))

Dividing both sides by 90 and taking the antilogarithm base 10, we get:

10^2 = 10(t + 3)

100 = 10(t + 3)

10(t + 3) = 100

t + 3 = 10

t = 7

Therefore, it takes 7 months for the population to surpass 700.

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