Tan x cos3 x/
(sec x)(1 − sen2 x) = f(sen x)

The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are (b) 2.3p – 10.1 = 6.49p – 4 and (c) 230p – 1010 = 650p – 400 – p

The equation is given as

2.3p – 10.1 = 6.5p – 4 – 0.01p

Evaluate the like terms on the right-hand side

So, we have the following representation

2.3p – 10.1 = 6.49p – 4

The above equation is indicated in option (b)

Multiply through the equation by 100

So, we have:

100(2.3p – 10.1 = 6.5p – 4 – 0.01p)

Evaluate

230p – 1010 = 650p – 400 – p

The above equation is indicated in option (c)

Hence, the equations with the same solution are (b) and (c)

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The probability that the jury makes the correct decision that the defendant is guilty is 0.7063.

In order to resolve this issue, we must determine the likelihood that the jury would find the defendant guilty. Let's divide the issue into more manageable components.

We are aware that there is a 0.80 chance that a single juror would choose correctly. If the defendant is found guilty, there is still an 80 percent chance that the jury will reach the right verdict. Consequently, if the defendant is found guilty, there is an 80 percent chance that one jury will reach the right verdict.

The likelihood that at least 10 out of 12 jurors will choose the right course of action may be calculated using the binomial distribution formula. The equation is:

\(P(X \geq k) = 1 - \sum (i=0, k-1) [\frac{i!}{(i!(n-i)!)} ]p^i*(1-p)^(^n^-^i^)\)

where:

P(X ≥ k) is the probability of at least k successes

n is the total number of trials (in this case, 12 jurors)

p is the probability of success in a single trial (in this case, 0.80)

k is the number of successes we want to find the probability of (in this case, 10)

Using a calculator or software, we can calculate this to be approximately 0.7063.

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After answering the provided question, we can conclude that As a result, the probability of drawing a non-red letter is 11/13, or approximately 0.846, or 84.6%.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The alphabet has a total of 26 letters, four of which are red. As a result, the likelihood of drawing a red letter is:

P(red) = 4/26 = 2/13

Drawing a non-red letter is the complementary event to drawing a red letter. The number of letters that are not red is:

26 - 4 = 22

As a result, the likelihood of drawing a non-red letter is:

Non-red P(non-red) = 22/26 = 11/13

As a result, the likelihood of the complementary event of drawing a red letter is:

P(non-red) = P(complementary event) = 11/13

As a result, the likelihood of drawing a non-red letter is 11/13, or approximately 0.846, or 84.6%.

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Answer:yes 1 =-1

Step-by-step explanation:

Gray gob you are correct

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer:

.09 cents

Step-by-step explanation:

1.80 divided by 20

Answer:

I believe the answer would be x<46

Answer:

I'm fairly sure that it would be D, or the final answer.

Step-by-step explanation:

Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!

Answer:

2.5 or 2 1/2

Step-by-step explanation:

i caculated do order of operations

Answer:

A). minimum

Step-by-step explanation:

In the context of hypothesis testing, a test statistic is; c. A value, determined from sample information, used to test the null hypothesis.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample. The null hypothesis is said to be a hypothesis where no important difference between the random variables

The test statistic is defined as a value that is computed from the sample data that is used when making a decision about whether or not to reject the null hypothesis.

Looking at the options and based on the definitions above, option C adequately describes the test statistic.

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The system of linear congruences 2x ≡ 3 (mod 5) and 3x ≡ 2 (mod 7) has a simultaneous solution, and x ≡ 23 (mod 35) is one such solution.

To determine if the following systems of linear congruences have a simultaneous solution, we need to check if the congruences are consistent with each other. If they are, we can find a solution using techniques such as the Chinese Remainder Theorem.

Let's consider the system of linear congruences:

2x ≡ 3 (mod 5)

3x ≡ 2 (mod 7)

To check if these congruences have a simultaneous solution, we can examine the coefficients and moduli involved.

First, let's solve the congruence 2x ≡ 3 (mod 5). To find a solution, we can multiply both sides of the congruence by the modular inverse of 2 modulo 5. The modular inverse of 2 modulo 5 is 3, so we have:

3 * 2x ≡ 3 * 3 (mod 5)

6x ≡ 9 (mod 5)

Reducing both sides, we get:

x ≡ 4 (mod 5)

Now, let's solve the congruence 3x ≡ 2 (mod 7). Similarly, we can multiply both sides by the modular inverse of 3 modulo 7. The modular inverse of 3 modulo 7 is 5, so we have:

5 * 3x ≡ 5 * 2 (mod 7)

15x ≡ 10 (mod 7)

Reducing both sides, we get:

x ≡ 3 (mod 7)

Now we have obtained two congruences: x ≡ 4 (mod 5) and x ≡ 3 (mod 7). To find a simultaneous solution, we can use the Chinese Remainder Theorem.

By applying the Chinese Remainder Theorem to the congruences x ≡ 4 (mod 5) and x ≡ 3 (mod 7), we can find a unique solution modulo 35.

The solution is x ≡ 23 (mod 35).

Therefore, the system of linear congruences 2x ≡ 3 (mod 5) and 3x ≡ 2 (mod 7) has a simultaneous solution, and x ≡ 23 (mod 35) is one such solution.

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Answer:

(x,y). y = x + 3 y = -x - 5

Step-by-step explanation:

Answer:

(-4,-1)

Step-by-step explanation:

I graphed the two lines using a graphing tool. When graphed, the lines intercept at (-4,-1). Therefore, (-4, -1) is the solution.

Please see the graph attached.  

Hope this helps.

Answer:

Mga bugok ba dito o hindi

Answer:

The answer is 1x+(-14)

Step-by-step explanation:

Step 1: Write the expression(3x-6)-(2x-8)

Step 2: Do KCC to the whole expression (keep change change)

(3x-6)+(-2x+-8)

Step 3: Rewrite with the like terms together.

(-2x+3x)+(-6+-8)

Step 4: Combine the like terms

1x+(-14)

Answer:

r = -6.1

Step-by-step explanation:

-7.8 = 4.4 + 2r

To get r, you need to isolate the variable

Subtract the 4.4 from both sides

-7.8 - 4.4 = 4.4 + 2r - 4.4

4.4 cancels out on the right

-12.2 = 2r

Divide both sides by 2

-12.2/2 = 2r/2

-6.1 = r

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

the error interval will be [15.29, 15.3).

What is error?

Error is the difference between an actual value and an estimate, or approximate, representation of that value in applied mathematics. The discrepancy between the population's average and the average of a sample taken from that population is a frequent example in statistics. The discrepancy between an irrational number's true value and the values of rational expressions like 22/7, 355/113, 3.14, or 3.14159 serves as an example of round-off error in numerical analysis. A truncation error happens when an infinite series is ignored for all but a small number of terms. For instance, the sum of the infinite series can be used to express the exponential function ex.

Find the error interval of 15.29:

[15.29, 15.3)

Hence the error interval will be [15.29, 15.3).

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Answer:

19.47

Step-by-step explanation:

The confidence interval is 350 - 11.025 to 350 + 11.025, which equals (338.975, 361.025).

Based on the information given, the maker of frozen meals claims that the average caloric content of its meals is 400, with a standard deviation of 15. However, a researcher tested 16 meals and found that the average number of calories was 350.

To analyze this situation, we can use the concept of a confidence interval. A confidence interval is a range of values within which we estimate the true population mean lies. In this case, we can calculate a confidence interval to determine if the researcher's finding is statistically significant.

To do this, we need to determine the margin of error, which is the maximum likely difference between the sample mean and the population mean. The margin of error can be calculated using the formula: margin of error = critical value * (standard deviation / square root of sample size).

Next, we calculate the confidence interval by subtracting the margin of error from the sample mean and adding it to the sample mean.

With a sample size of 16 and a standard deviation of 15, assuming a 95% confidence level (which corresponds to a critical value of approximately 1.96), the margin of error can be calculated as 1.96 * (15 / sqrt(16)) = 11.025.


Since the maker's claim of an average caloric content of 400 does not fall within the confidence interval, the researcher's finding of 350 is statistically significant.

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Answer:

(-2, 1)

Step-by-step explanation:

3x +8y = 2

4x - 2y = -10

First, you would want to find common factors by changing the equations. In this case, it's much easier to change one of the equations by multiplying the bottom equation by 4. It will look like this:

4(4x - 2y = -10)  which will turn into:

16x - 8y = -40

*That will give us -8, which will cancel out the top equation's "y"s*

Now it will look like this:

3x + 8y = 2

16x - 8y = -40

Now, treat ^this as an addition problem.

You will get:

19x = -38

And x = -2

Now to solve for y, you do the same thing starting from the beginning, except cancel out the x

The answer is: y = 1

To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Answer:

y=0.75x+5

Step-by-step explanation:

x=20

y=20

20-5=15

15/0.75=20

20 games

Answer:

137.16 cm

Step-by-step explanation:

its jus multiplication so 54in x 2.54cm

Answer:

-8 1 x -2 4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

because she hast to pick her favorite and second favorite

Answer:

Step-by-step explanation:

Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return

4 x 9 is a multiplication problem, which means 4 is being multiplied by 9. This can also be written as 4 x 9 = 36. 4 multiplied by 9 is equal to 36 because 4 is being added to itself 9 times, resulting in 36.

4 x 9 is a multiplication problem which means we are multiplying 4 and 9 together. This can also be written as 4 x 9 = 36. When multiplying two numbers together, you are adding the first number to itself the second number of times. In this case, 4 multiplied by 9 is equal to 36 because we are adding 4 to itself 9 times: 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36. This can also be written as 4 x 9 = 36, which means that 4 times 9 equals 36.

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Three angles are 36° , 36° , 180°.

Let us denote first, second, third angle by a, b, c respectively.

It is given that second angle is the same as first angle which implies that,

⇒ b = a

And third angle is three times the first which implies that,

⇒ c = 3a

We know that sum of the angle of triangle is 180°.

Therefore a + b + c = 180°

⇒ a + a + 3a = 180°

              5a = 180°

                 a = 36°

That means b = 26 °

and c = 3a = 3(36°) = 108°

Hence three angles are 36°, 36°, 108°.

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The set A ∩ B = {3}

The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.

The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.

To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.

Therefore, the intersection of sets A and B is {3}.

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