What is the exact value of Sine (7pi/12)?

Answer:

53.12 sq ft

Step-by-step explanation:

For triangle:

Base (b) = 8 ft

Height (h) = 7 ft

For semicircle:

Radius (r) = 8/2 = 4 ft

Area of the composite figure = Area of triangle + Area of semicircle.

\( = \frac{1}{2} bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} (8)(7) + \frac{1}{2} (3.14)(4)^{2} \\ \\ = (4)(7) + (3.14)(8) \\ \\ = 28 + 25.12 \\ \\ = 53.12 \: {ft}^{2} \)

Answer:

x = 14.4

Step-by-step explanation:

Using dilations, the following equation can be written to show the relationship between the two similar triangles:

x/4 = (6.5 + 2.5)/2.5

x/4 = 9/2.5

Cross multiply

x*2.5 = 9*4

2.5x = 36

2.5x/2.5 = 36/2.5

x = 14.4

Answer:

Step-by-step explanation:

Let y represent the amount of money earned, and x the number of cars they wash. Then

y = 5x

Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.

2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).

3. Taking into account the setup cost of $75, the profit they make is given by

y = 5x - 75

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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Answer:2/9

Step-by-step explanation:

AB=\(\frac{7-5}{6+3}\)

    =\(\frac{2}{9}\)

Answer:

jamie gets 63

Step-by-step explanation:

27(olivias sweets)/3=9

9*7=63

=63

Answer:

63

Step-by-step explanation:

you have set them up so you can cross multiply.

(3 * x) = (7 * 27)

3x = (189)

to solve for x we need to isolate the variable, so divide both sides by 3:

x = 63

Answer:

f is correct

Step-by-step explanation:

A weak negative correlation. Correct option is E.

A correlation between two variables tells the how the first variable will change, with change in second variable.

Given,

Value of y decreases as the value of x increases and vice versa.

Also, x and y are nearly linearly related.

But, there is still some deviation in the values and are not perfectly linear.

Hence, there is a weak negative correlation between x and y.

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a. Optimal solution: X1 = 140, X2 = 0, X3 = 80, Objective Function Value = 4700.000.

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding.

c. The dual price for the second constraint is 2.333, indicating that for each unit increase in its right-hand side value, the objective function value increases by 2.333.

d. The objective function coefficient of X2 can vary between 30 and 40 without changing the optimal solution

a. The complete optimal solution is:

X1 = 140

X2 = 0

X3 = 80

Objective Function Value = 4700.000

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding because it has a slack/surplus value of 0.

c. The dual price for the second constraint (9X1 + 15X2 + 3X3 < 1500) is 2.333. This means that for each unit increase in the right-hand side value of the second constraint, the objective function value will increase by 2.333 units, assuming all other variables and constraints remain constant.

d. The objective function coefficient of X2 can vary between 30 and 40 before a new solution point becomes optimal. This means that as long as the coefficient remains within this range, the current solution will still be optimal. However, if the coefficient of X2 goes below 30 or above 40, a new optimal solution may be obtained.

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Typically you should factor the denominators first, as it will make getting the least common multiple easier. For the first denominator, you can factor out x^2, the second denominator is a perfect square, (x^2+1) (x^2-1) and the last denominator is already simplified. It appears the denominators don't have a common factor though, so yes, you would have to multiply each of the denominators out.

To answer this question, we need to use the concept of unit rate. In this case, to find the payment per hour of Job number 1, we can proceed as follows:

Therefore, Job number one pays $7.50 per hour (to the nearest cent).

(We divided the total amount of money by the total amount of time to find the number of dollars per hour.)

the probability of randomly selecting a vehicle with 2 occupants is approximately 0.245 or 24.5%.The probability distribution that applies in this scenario is the binomial distribution.

Let p be the probability of a vehicle having two occupants. Since the average occupancy is 1.6 people, we can calculate that the probability of a vehicle having one occupant is 1 - p - p = 0.4.

Using the binomial probability formula, the probability of selecting a vehicle with two occupants can be calculated as:

P(X = 2) = (100 choose 2) * p^2 * (1-p)^(100-2)

where (100 choose 2) is the number of ways to select 2 vehicles out of 100, p^2 is the probability of selecting a vehicle with two occupants twice, and (1-p)^(100-2) is the probability of selecting a vehicle with one occupant 98 times.

Assuming p = 0.16 (the average occupancy of 1.6 people divided by 2), we can calculate:

P(X = 2) = (100 choose 2) * 0.16^2 * 0.84^98 ≈ 0.245

Therefore, the probability of randomly selecting a vehicle with 2 occupants is approximately 0.245 or 24.5%.

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Answer:

3/8

Step-by-step explanation:

you can't split 3 in half to get a whole number, so you need to make it a different fraction with the same meaning to make it possible to divide by 2.

6/8 is the same as 3/4

divide by two to get 3/8  Don't divide the bottom number, just the top.

3/8 pages in one minute.

Hope this helps!

Answer:

y=5/41x

Step-by-step explanation:

Alright, so we can get imagine two points. Imagine that the y axis is miles and the x axis is minutes. When bianca runs 0 miles, she would have run for 0 minutes, and we know that when Bianca runs 5 miles, she would have run for 41 minutes.

We can use slope formula using the change in y over change in x

\((y1 -y2)/(x1-x2)\\\)

So substituting values, we would get (5-0)/(41-0) or 5/41

slope is the letter m in the formula y=mx+b

so our equation would be \(y=\frac{5}{41}x+b\), b being the y intercept, which would be 0 as you cant run anything when no time has passed

Knowing all of this. the final equation is

\(y=\frac{5}{41}x\)

Answer:

6x - 12 ,  2(3x - 6) and  6(x - 2)

Step-by-step explanation:

You must times 3 by each of the numbers and variables within the brackets

For example: 3x 2x = 6x  and  3 x 4 = 12

Answer: After the collapse of Roman Empire, much of southern and eastern Britain was affected by the Anglo-Saxon migrations and a transition to Anglo-Saxon paganism as the primary religion. ... There remained an awareness among Anglo-Saxon Christian writers like Bede that a Romano-British Christianity had existed.

Step-by-step explanation: I hope this helps you

The perimeter for each possible region is 140 feet, 148 feet, and 160 feet when the length of the rectangle is 40 feet, 50 feet or 60 feet, respectively.

Given that you want to enclose a rectangular region with an area of 1200 square feet and a length of 40 feet, 50 feet, or 60 feet.

We are to find the perimeter for each possible region.

Area of rectangle = length x breadth

Now, we are given the area of the rectangle as 1200 square feet and length as 40 feet, 50 feet or 60 feet.

Therefore, the breadth of the rectangle can be calculated as follows:

Breadth = Area/Length

We get the following breadth for each of the given lengths:

For length 40 feet,

breadth = 1200/40 = 30 feet

For length 50 feet, breadth = 1200/50 = 24 feet

For length 60 feet, breadth = 1200/60 = 20 feet

Now, we can use the formula to calculate the perimeter of each rectangle.

Perimeter of rectangle = 2 (length + breadth)

So, the perimeter for each possible region is given by:

Perimeter when length = 40 feet

Breadth = 30 feet

Perimeter = 2(40+30) = 2(70) = 140 feet

Perimeter when length = 50 feet

Breadth = 24 feet

Perimeter = 2(50+24) = 2(74) = 148 feet

Perimeter when length = 60 feet

Breadth = 20 feet

Perimeter = 2(60+20) = 2(80) = 160 feet

Therefore, the perimeter for each possible region is 140 feet, 148 feet, and 160 feet when the length of the rectangle is 40 feet, 50 feet or 60 feet, respectively.

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Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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Answer:

f(-1) = 0

f(0) = -1

f(1) = 0

Explanation:

Given the below function;

We're to find the corresponding values of f(x) given different values of x.

To determine the value of f(x) for each value of x, all we need to do is to substitute the said value of x into the function and solve for f(x).

When x = -1, let's go ahead and find f(-1);

When x = 0, let's solve for f(0);

When x = 1, let's solve for f(1);

Answer

Step-by-step explanation:

Its A

HI um yeaaaa so do u still need help and um this is taylor megan is at school and aaahhhhh umm yea so................... bye bye

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Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

If a Pearson correlation coefficient has a final value of +10, interpretation of this result is that it is an impossible value of r. Therefore, the correct option is A.

It is given that the Pearson correlation coefficient you calculated has a value of +10. This is actually an impossible value of r. Pearson correlation coefficient (r) ranges between -1 and +1. A value of +1 indicates a perfect positive correlation, while a value of -1 indicates a perfect negative correlation. A value of 0 suggests no correlation between the variables.

A value of +10 would fall outside of this range, making it an impossible value of r. Therefore, this result cannot be interpreted in terms of positive or negative correlation, nor can it be considered a significant correlation. It is important to ensure that the range of possible values is considered when interpreting statistical results. Hence, the correct answer is option A.

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Answer:

The cost is $115.20

Step-by-step explanation:

The locker is 8ft by 12ft by 9ft.

The volume is:

V = 8 × 12 × 9

V = 864 cubic feet

But the price is given by cubic yards so we need to find that first. (we have cubic feet)

A cubic yard is

1yd × 1yd × 1yd

And a yard is 3 feet, so that is the same as:

3ft × 3ft × 3ft

= 27cubic feet

Divide:

864/27

= 32

The locker is 32 cubic yards.

The price is $3.60 per cubic yard. Multiply.

32 × 3.60

= 115.2

The cost of the locker will be $115.20.

Answer:

Set 2

Step-by-step explanation:

First find the median of each set (the median being the number in the middle):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 10

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 10

Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 12.8

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 7.2

the answer being 12.8 since 12.8 is greater than 10

(4) {1,2,10,11, 12}

Answer:

Solution given:

1:

{ 4,7,10,13,16}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={ 4+7+10+13+16}/{5}=10

(2)

{8,9,10,18,19}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+18+19}/{5}=12.8

3) {8,9,10,11,12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+11+12}/{5}=10

(4) {1,2,10,11, 12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={1+2+10+11+13}/{5}=7.4

In above

1: mean=median

2:mean>median

3:mean=median

4:mean<median

so median is greater than mean is in 4th one.

(4) {1,2,10,11, 12}

Answer:

y = 9x -1

Step-by-step explanation:

The formula is y=mx+b

m = slope

b = y-intercept

All ya gotta do is plug in the slope and y-intercept then you have an equation!

Hope that helps and have a great day!

Answer:

x = 32 feet

Step-by-step explanation:

By applying tangent rule in ΔACD,

tan(40°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

             = \(\frac{AB+AC}{CD}\)

             = \(\frac{x+BC}{87}\)

x + BC = 73 -----(1)

By applying tangent rule in ΔBCD,

tan(25°) = \(\frac{BC}{CD}\)

             = \(\frac{BC}{87}\)

BC = 40.57

By substituting the value of BC in equation (1),

x + 40.57 = 73

x = 32.43

x ≈ 32 feet

Answer:

The original price of the phone is £388.

Step-by-step explanation:

Since 5% of the price of the phone is reduced, you can simply multiply the reduced number which is £19.4 by 20.  Your final answer should be £388 when you put it on a calculator or do it on a piece of paper.

Answer:

the width of the path is 24m²

Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

\(b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34\)

Answer:

600/2000= 30%

Step-by-step explanation:

The percentage of the budget Michael allocated to transportation is 30%

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Michael budgets $600 of the $2,000 he brings home for

transportation expenses.

Here, percentage = 600/2000 ×100

= 600/20

= 30%

Therefore, the percentage of the budget Michael allocated to transportation is 30%

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