Does anyone know how to do this? i tried it and got it wrong so i’m not sure anymore, lol.

The six trigonometric functions at 11π/3 are as follows-

sin (11π/3) = -[tex]\sqrt{3}[/tex]/2

cos (11π/3) = 1/2

tan (11π/3) = -[tex]\sqrt{3}[/tex]

cot (11π/3) = -1/[tex]\sqrt{3}[/tex]

sec (11π/3) = 2

cosec (11π/3) = -2/ [tex]\sqrt{3}[/tex]

Let us evaluate the six trigonometric functions at 11π/3 as follows -

11π/3 can be written as (6π+5π)/3 = 2π + 5π/3.

a. sin (11π/3) = sin (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= sin (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, sin is negative in the 4th quadrant.

= -sin (π/3)

= -[tex]\sqrt{3}[/tex]/2

Hence, sin (11π/3) = -[tex]\sqrt{3}[/tex]/2

b. cos (11π/3) = cos (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= cos (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, cos is positive in the 4th quadrant.

= cos (π/3)

= 1/2

Hence, cos (11π/3) = 1/2

c. tan (11π/3) = tan (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= tan (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, tan is negative in the 4th quadrant.

= -tan (π/3)

= -[tex]\sqrt{3}[/tex]

Hence, tan (11π/3) = -[tex]\sqrt{3}[/tex]

d. cot (11π/3) = 1/ tan (11π/3)

Hence, cot (11π/3) = - 1/ [tex]\sqrt{3}[/tex]

e. sec (11π/3) = 1/ cos (11π/3)

Hence, sec (11π/3) = 2

f. cosec (11π/3) = 1/ sin (11π/3)

Hence, cosec (11π/3) = -2/ [tex]\sqrt{3}[/tex]

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The percent of increase Maria walked if found as the 50%.

The formula for the percentage increase is given as;

Percent increase = Increase / original number x 100

original number = 20 miles

Increase = 30 miles - 20 miles

Increase = 10 miles

So,

Percent increase = 10 / 20 x 100

Percent increase = 50%

Thus, the percent of increase Maria walked if found as the 50%.

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The correct question is-

9) Maria walked 20 miles yesterday. Today she walked 30 miles. What was the percent of increase Maria walked?

A bi-weekly visit to your favorite restaurant. Say on average you spend $25 each visit.

You will spend an average of $50 a week at this restaurant.

The average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2 will be 16 minutes.

Let us assume that, T = the total amount of time Bob spends in the hardware store.

Let us assume that, T1 = the amount of time Bob spends waiting in line for Al to get his goods from server 1

Let us assume that, T2 = the amount of time it takes for Bob to get his goods from server 1

Let us assume that, T3 = the amount of time Bob spends waiting in line for Al to pay server 2 for his goods

Let us assume that,  T4 = the amount of time it takes for Bob to pay server 2 for his goods

So, the value of total time T will be

T = T1 + T2 + T3 + T4 and E[T] = E[T1] + E[T2] + E[T3] + E[T4]

Now, E[T1] = 6 min. because of the memoryless property of the exponential distribution

E[T2] = 6 min.

To find E[T3], the condition on the availability of server 2 after Bob is done with server 1

So, the value of E[T3] will be

E[T3] = E[T3 | Server 2 is free] P(​Server 2 is free) + E[T3 | Server 2 is not free] P(​Server 2 is not free)

= 0 + 3 . P(Bob is done with server 1 before AI is done with server 2)

[tex]$$=3 \cdot \frac{1 / 6}{1 / 6+1 / 3}$$[/tex]= 3(1/3) = 1 min. and E[T4] = 3 min.

So, E[T] = E[T1] + E[T2] + E[T3] + E[T4]

or, E[T] = 6+6+1+3= 16 minutes

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The two expressions are not equivalent when x = 3

What is expression ?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math.

A mathematical expression is as straightforward as 12 + 2. We might alter the (+) to create many mathematical equations, like 12 - 2, 12*2, and 12/2. Operations include multiplication, division, addition, and subtraction. A mathematical expression can make use of a great number of additional procedures.

when x = 3

8x + 40

8 * 3 + 40

= 24 + 40

= 64

when x = 3

5 (2x + 8)

10x + 40

10 * 3 + 40

= 30 + 40

= 70

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Answer:

864

Step-by-step explanation:

Answer:

≈20.35°

Step-by-step explanation:

height = 8

hypotenuse =23

angle is x

sin(x) =8/23

[tex]sin^{-1} (\frac{8}{23} )[/tex] ≈20.35°

x is about ≈20.35°

The ramp makes an angle of approximately 20.86 degrees with the ground.

Given that there is a truck with a ramp at a height of 8 feet the size of the ramp is 23 feet,

we need to find the angle ramp make with the ground.

To find the angle that the ramp makes with the ground, we can use the sine function.

The sine of an angle is equal to the opposite side divided by the hypotenuse in a right triangle.

In this case, the opposite side is the height of the ramp (8 feet), and the hypotenuse is the length of the inclined portion of the ramp (23 feet).

Let's calculate the angle:

sin(angle) = opposite/hypotenuse

sin(angle) = 8/23

To find the angle, we need to take the inverse sine (or arcsine) of both sides of the equation:

angle = arcsin(8/23)

We can find the approximate value of the angle:

angle ≈ 20.86 degrees

Therefore, the ramp makes an angle of approximately 20.86 degrees with the ground.

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Answer:

Graph A

Step-by-step explanation:

Given piecewise function:

[tex]f(x)=\begin{cases}9+x, \;\;\:\:x\leq3\\x^2+3,\;\;x > 3\end{cases}[/tex]

To graph the given piecewise function:

The line  y = 9 + x  is a straight line with a positive gradient.  

It crosses the x-axis at (-9, 0) and crosses the y-axis at (0, 9).

Therefore, the only graph that shows the line  y = 9 + x  is the first graph.

Answer:

-11

Step-by-step explanation:

4c - 3   Substitute -2 for c

4(-2) - 3

-8 - 3

-11

Answer:

-11

Step-by-step explanation:

We are given the value of c, so we just need to plug it in. We can do this by replacing "c" with "-2" in our given expression.

4c - 3 ⇒ 4(-2) - 3

Now, we can simplify this.

-8 - 3 = -11

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The p-value for the z-distribution table is 0.4854.

What is  z-distribution?

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardise it. Z scores provide the number of standard deviations from the mean that each value falls within.

Given that the z statistic to be 2.19 standard deviation above the population mean.

2.19 can be written as 2.1 + 0.09

Z₂.₁₉ = Z₂.₁₊₀.₀₉ =  0.4854

Therefore p-value is  0.4854.

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The value of x in the problem is 0

Given that PQR is a straight line

In this problem PQ+QR=PR

The value of PQ is 9

The value of QR is not given but given an equation 2x+3

And QR is x+12

So PQ+QR=PR

9+2x+3=x+12

12+2x=x+12

2x-x=12-12

x=0

Therefore, the value of x in the problem is 0

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The model predicts that the net discharge will be -0.8 + 1.2 cos(24) billions of cubic feet from t = 0 to t = 12.

The net amount of water discharged from the Poudre river from t = 0 to t = 12 can be found using the Fundamental Theorem of Calculus, which states that the net change in a function over an interval is equal to the function evaluated at the endpoints of the interval minus the function evaluated at the beginning of the interval.

In this case, the net discharge from t = 0 to t = 12 can be calculated as follows:

Net discharge = F(12) - F(0)

= (1.5 + 1.2 cos(212)) - (1.5 + 1.2 cos(20))

= 1.5 + 1.2 cos(24) - 1.5 - 1.2

= -0.8 + 1.2 cos(24)

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The measures of angles x, y and z are 40°, 50° and 130° and measures of the segments are AY = 16, IY = 9, FG = 30, AP = 24

Centroid is the point in a triangle where all the medians of the triangle intersects.

Given are two triangles, in first we have to find the missing angles and in the second one we need to find the asked segments,

1) We know that, in a right triangle, one angle is 90° and the sum of other two sides is 90°,

Therefore, 40°+y = 90°

y = 50°

x+y = 90°

x = 90°-50°

x = 40°

z = 180°-50° (linear pair)

z = 130°

2) we know that, the centroid divides the medians into 2:1

AY = 2YP

AY = 16

IY = TY/2

IY = 9

FG = GY+YF   (segment addition postulate)

GY = YF/2

GY = 10

FG = 10+20 = 30

PA = AY+YP  (segment addition postulate)

PA = 8+16

PA = 24

Hence. the measures are x, y and z are 40°, 50° and 130° and  AY = 16, IY = 9, FG = 30, AP = 24

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Answer: 36.4

Step-by-step explanation:

Just convert the percentage to decimal and multiply.

70 x 0.52 = 36.4

Answer:

Below

Step-by-step explanation:

If you turn it sideways and use the y-axis portion as the base (4)  , you can see height = 5

Area = 1/2 * b * h =    1/2 *  4 *5 = 10 units^2

A) Yes, X is a binomial random variable because all of the requirements for a binomial distribution have been established

B) The mean and standard deviation are respectively; 1.2 and 0.6

C) The probability given as P(X ≥ 2) is 0.34464

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The general formula of binomial probability distribution is;

P(X = x) = nCr * p^(x) * (1 - p)^(n - x)

where;

p = probability of "success"

n = number of trials, or the sample size

x = the number of "successes" in the probability we are trying to calculate.

A) We are told that 6 friends each buy one 12-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize.

Probability of success; p = 1/5

Number of events; n = 6 which is the random variable being binomial random variable:

There are two types of accomplishments: successes and failures.

Candies are unrelated to one another.

There is a set number of buddies available.

In addition, the chance of success is fixed.

Because all of the requirements for a binomial distribution have been established, then it is a binomial probability distribution.

B) The formula for the mean here is;

μ = np

Plugging in the relevant values gives;

μ = 6(1/5) = 1.2

Formula for the standard deviation is;

σ = √(np(1 - p))

Thus;

σ = √(6 * 1/5)(1 - (1/5)))

σ = 0.6

C) The probability P(X ≥ 2) calculated with online binomial probability calculator gives;

P(X ≥ 2) = 0.34464

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The final answer of the problem is -0.75.

What is the order of operations?

The order of operations is also known as the hierarchy of operations. The order of operations tells us the order in which we should perform mathematical operations in order to get the correct result. The order of operations is usually represented by the acronym PEMDAS:

P: Parentheses first

E: Exponents (ie Powers and Square Roots, etc.)

MD: Multiplication and Division (left-to-right)

AS: Addition and Subtraction (left-to-right)

We have,

-1 - (-0.25)

Using the order of operations, we can solve this problem as follows:

Parentheses: The first step is to perform any calculations inside parentheses. In this case, there are no parentheses, so we can move on to the next step.

Exponents: There are no exponents in this problem, so we can move on to the next step.

Multiplication and Division: There is no multiplication or division in this problem, so we can move on to the next step.

Addition and Subtraction: Finally, we can perform addition and subtraction in the problem. We start from left to right, so we start with the first operation: -1 - (-0.25). To subtract a negative number, we can use the rule that subtracting a negative number is the same as adding a positive number.

Therefore, we have -1 + 0.25.

The final step is to simplify the expression by performing the addition: -1 + 0.25 = -0.75.

Therefore, the final result of the problem is -0.75.

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Answer:

18.33

Step-by-step explanation:

f=-6

-6(x)=8-3(x-21)

-6x=8-3x-63

-6x+3x=8-63

-3x=-55

-3x/-3=-55/-3

x=18.33

hope it helps

By using proportions, it is discovered that 67% of voters who are female and vote for Candidate J to win.

A percentage is a component of a total amount, and the three-step rule is used to relate the measurements.

The percentage of voters who select Candidate J is:

60% of x are voters are female

30% of (1 - x), who vote are male

If the total of these percentages is larger than 50% = 0.5, Candidate J will be elected; therefore:

0.6x + 0.3(1 - x) > 0.5

0.6x + 0.3 - 0.3x > 0.5

0.3x > 0.2

x > 2/3

x > 0.667

x > 67%

By using proportions, it is discovered that 67% of voters who are female and vote for Candidate J to win.

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Function 2 is the one with the fastest rate of change. It changes at a rate of six. Function 1 is the function with the smaller y-intercept. At a y value of 4, its y-intercept is located.

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The 2 3/4 is greater than 1 5/6, hence 1 1/4 × 2 1/5 > 5/6 × 2 1/5

An algebraic inequality is a mathematical statement that uses the inequality sign to connect an expression to a value, a variable, or another expression.

Relationships between two expressions that aren't equal to one another are known as inequalities. Inequalities are represented by the symbols, >,,, and. has the connotation "7 is greater than" (or "is less than 7," when read left to right).

Given the incomplete expression

1 1/4 × 2 1/5 _ 5/6 × 2 1/5

We are to fill it with the necessary inequality sign

For the expression:

1 1/4 × 2 1/5 = 5/4 * 11/5

1 1/4 × 2 1/5 = 55/20

1 1/4 × 2 1/5 = 2 3/4

For the expression 5/6 × 2 1/5

5/6 × 2 1/5 = 5/6 * 11/5

5/6 × 2 1/5 = 55/30

5/6 × 2 1/5 = 1 25/30

Since 2 3/4 is greater than 1 5/6, hence 1 1/4 × 2 1/5 > 5/6 × 2 1/5

The complete question is : Select the correct symbol to compare the expressions below.

1 1/4 × 2 1/5 _ 5/6 × 2 1/5

Symbols: <, >, =

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Answer: $2,275.94

Step-by-step explanation: First, we need to find how much he pays for the stocks alone. So, we would use this equation:

41.09(55)

41.09 x 55

That would get us to $2,259.95. Now, we have to add the $15.99, bc he had to pay a fee. So $2,259.95 + 15.99 = $2,275.94. I hope this helped!

Answer: NO

Step-by-step explanation:

This is not a function, since there are multiple outputs for ONE input.

Answer:

no

Step-by-step explanation:

to be a function, the x's can only have one partner. Here, 7 has two partners (7 goes to 20 and also to 18) and the 11 has two partners also. This relation is not a function.

The balloon's vertical distance above the ground is 358.9 feet.

An angle is said to be that of depression when it is measured downwards with respect to the horizontal plane.

So that applying the appropriate trigonometric function to solve the question, we have;

Tan θ = Opposite side/ Adjacent side

But,

θ = 90 - 24

  = 66

θ = [tex]66^{o}[/tex]

Let the vertical distance of the balloon be represented by x.

Tan 66 = 806/ x

x = 806/ Tan 66

  = 806/ 2.246

  = 358.86

x = 358.9 feet

The balloon's vertical distance above the ground is 358.9 feet.

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The points that have a distance of 6 units between them are A(-12, 2) and B(-6, 2); B(-6, 2) and C(-6, -4).

The distance between two points P(x₁, y₁) and Q(x₂, y₂) is given by  

Here we have

A (-12, 2) and B(-6, 2)

B (-6, 2) and C(-6, -4)

C (-6, -4) and D(6, 2)

D (6, 2) and E(6, 4)

E (6, 4) and F(-12, 4)  

Here we will find the distance between given points to find the point which has 6 units between them.

As we know Distance = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} - y_{1})^{2} }[/tex]

For Option A

A (-12, 2) and B(-6, 2)

Distance = √(-6 + 12)² + (2 - 2)²

= √[(6)² + (0)²] = √36 = 6

For Option B

For  B (-6, 2) and C(-6, -4)

Distance = √(-6 - (-6))² + ( - 4 - 2)²

= √[(0)² + (-6)²] = √36 = 6  

For Option C

For C (-6, -4) and D(6, 2)

Distance =√(6 - (-6))² + (2 - (-4))²

= √(12)² + (6)² = √180 = 6√5

For Option D

For D (6, 2) and E(6, 4)

Distance = √(4 - 2)² + ( 6 - 6)²

= √[(2)² + (0)²] = √4 = 2      

For Option E

For E (6, 4) and F(-12, 4)  

Distance = √(-12 - 6)² + (4 - 4)²

= √[(18)² + (0)²] = √18² = 18

Therefore,

The points that have a distance of 6 units between them are A(-12, 2) and B(-6, 2); B(-6, 2) and C(-6, -4).

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The mean and standard deviation of the sampling distribution include the following: C. mean = 64, standard deviation = 2.5.

In Mathematics and statistics, the Central Limit Theorem states that the sampling distribution of means would always be normally distributed, as long as the sample size is large enough.

This ultimately implies that, the sampling distribution of means would always be normally distributed as the sample size gets larger in accordance with the Central Limit Theorem.

Mathematically, the standard deviation of a sampling distribution can be calculated by using this mathematical expression:

Standard deviation, σy = σ/√n

Where:

Substituting the given parameters into the formula, we have;

Standard deviation, σy = 10/√16

Standard deviation, σy = 10/4

Standard deviation, σy = 2.5.

In conclusion, the mean of an original population is expected to be equal to the mean of the sampling distribution of means i.e 64.

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The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.

Histogram Illustration

135  137   136  137  138  139

140  139   137  140  142  146

148  145    139  140  142  143

144   143   141  139   137  138

139   136   133   134  132  132

Her weight should be a histogram.

Answer

131.5-133.5

133.5-135.5

135.5-137.5

137.5-139.5

139.5-141.5

141.5-143.5

143.5-145.5

145.5-147.5

147.5-149.5

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