slope: 3; y-intercept: -8

Please refer to the photo taken.

Answer:

  -(√2 +√6)/4

Step-by-step explanation:

You want the exact value of sin(17π/12).

The sine can be written as ...

  sin(17π/12) = sin(π +5/12π)

  = -sin(5/12π) = -sin(2/12π +3/12π)

  = -sin(π/6 +π/4)

  = -(sin(π/6)cos(π/4) +cos(π/6)sin(π/4))

  = -((1/2)(√2/2) +(√3/2)(√2/2))

  = -(√2 +√6)/4

The sine of 17π/12 is -(√2+√6)/4.

The correct option is B. Out of every 5 trials, the desired outcome will occur approximately 2 times.

For the stated question -

The first claim asserts that it will occur exactly twice, yet probability never assures success.

The second and fourth statements refer to "out of 7," which is false because "out of 7" is equivalent to "out of 2 to 5"

Thus, conclusion is out of every 5 trials, the desired outcome will occur approximately 2 times.

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The complete question is-

The theoretical probability of an event occurring is Two-fifths. Which best describes the experimental probability associated with this event?

A. Out of every 5 trials, the desired outcome will occur exactly 2 times.

B. Out of every 5 trials, the desired outcome will occur approximately 2 times.

C. Out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes.

D. Out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes.

Answer:

y = 24

y = 2x

Answer:

1/ Heidi earned $61.20 in commission

2/ The jewelry store makes $618.80 from hers sales

Step-by-step explanation:

9% = 0.09

First, take 680 times 0.09 = $61.20

Heidi earned $61.20 in commission

For the second question

Take 680 - 61.20 = $618.8

The jewelry store makes $618.80 from its sales

The system of inequalities to represent the situation is 2x + 5y ≤ 77, x + y ≥ 19

You are in charge of getting food for the class from the corner store.  You can buy chips for $2 or a hoagie for $5.

There are 19 students in the class, so you need to buy at least 19 items, and you have $77 total.

Hence, the system of inequality to represent this situation is as follows:

let

x = number of chips

y = number of hoagies

Therefore, the inequalities is as follows:

2x + 5y ≤ 77

x + y ≥ 19

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1) The relation in the right is not a function.

2) domain

D: {-60, 20, 70}

range

R: {-6, 3, 2, 5}

3) Angelo is correct.

A function is a relation that maps elements from one set called the domain into another set called the range, such each element from the domain is mapped into only one of the elements of the range.

Thus, if an element of the domain is being mapped into two or more elements of the range, then the relation is not a function.

1) If you look at the relationship in the right, you can see that the input -60 is being mapped into two different outputs, this, it is not a function.

2) The domain is the set in the left:

D: {-60, 20, 70}

And the range is the set in the right side:

R: {-6, 3, 2, 5}

3) Angelo is correct, functions are relations,  but not all relations are functions, only the relations that meet the condition written above.

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Answer:

employee's hours worked per week

Step-by-step explanation:

check answer

Answer:

In this function, x represents the number of 2) HOURS WORKED PER WEEK.

Mr. Watson spent a total of $136 on the paint.

When taking on a painting project, it's important to factor in the cost of the paint. Mr. Watson was savvy enough to purchase 4 gallons of paint, which will likely be enough to cover a large area or multiple rooms. Not only did he save money by buying in bulk, but he also saved time by not having to go back to the store for more paint.

For those planning to take on a painting project, it's important to consider the cost of the paint as well as some other factors. It's important to research different brands and types of paint to make sure you're getting the best quality for the best value. Additionally, it's important to factor in the cost of supplies, such as brushes, rollers, and other tools.

Ultimately, Mr. Watson made a smart decision by purchasing 4 gallons of paint. He was able to get the job done while saving money and time.

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To decrease the area of the circle by $48\pi$, we need to decrease the radius by a factor of $\sqrt{48\pi}$.

Since the original radius of the circle was 8, the radius must be decreased to

Therefore, to decrease the area of the circle by $48\pi$, the radius must be decreased by a factor of about 1.1547.

This means that the radius must be decreased by a number that is about 1.1547 times smaller than the original radius of 8, or by about $8 \times (1 - 1.1547) = -0.6158$.

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Answer:

J

Step-by-step explanation:

shifts to the right by 1

Answer:

-7/3

Step-by-step explanation:

The formula for finding the slope of a line using two points is:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

For this case, 9 is x1, 10 is y1

6 is x2 and 17 is y2

Insert these values in the formula and solve:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

17 - 10          7

----------   =   ---   = -7/3

6 - 9          - 3

Note that assuming that the instrument used was exogenous, one can conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different: "The explanatory variable is endogenous and therefore 2SLS should be considered." (Option C)

Two-stage least squares (2SLS) regression analysis is a statistical approach used in structural equation analysis. The OLS approach has been extended using this methodology. It is employed when the error terms of the dependent variable are associated with the independent variables.

The ordinary least squares (OLS) approach is a linear regression methodology used to estimate a model's unknown parameters. The strategy is based on reducing the sum of squared residuals between the expected and actual values.

2SLS is utilized as an alternate strategy when we encounter endogeneity Problems in OLS. Endogeneity arises when the explanatory variable correlates with the error word. Then we utilize 2SLS, which employs an instrumental variable. The outcome will be different because if there is endogeneity in the model, OLS will produce biased results.

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Full Question:
What can we conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different? Assume that the instrument used was exogenous. Select one:

a. The explanatory variable is not endogenous and therefore using 2SLS is ill-advised.

b. The explanatory variable is not endogenous and therefore OLS should not be used.

c. The explanatory variable is endogenous and therefore using 2SLS should be considered.

d. The explanatory variable is endogenous and therefore OLS should be used.

Answer:£84.45

Step-by-step explanation:

10 single packs costs £97.5

9.75x10

3 packs of 3 plus a single costs £84.45

24.90x3+9.75

2 packs of 5 costs £86.5

43.25x2

Answer:

pack of 3 rolls

Step-by-step explanation:

Two 5 packs is 86.50

Ten 1 packs are 97.50

Three 3 packs is 74.70 + 8.3 (1/3 of 3 pack) = £83

Answer: 3000 years

Step-by-step explanation:

Let y be the number of money and x be the number of years

So we have the equation

y= 6.5x + 10000

Now we put 29500 in the y

29500 = 6.5x + 10000

Subtracted 10000 from both sides

19500 = 6.5x

Divided both sides by 6.5

x = 3000 years

Answer:

-6x (x-3)

Step-by-step explanation:

Branliest Pls!

It looks like you are supposed to match those 20 given equations to their respective graph that the assignment gave you. Do you need help plotting them? If so, I can edit my answer and add a picture of the equations graphed.

Answer: 9

Step-by-step explanation:

Let's start with what we know. If we have the data set:
63, 53, 20, 10, x

The average is:

(63+53+20+10+x)/5 = 31

We multiply both sides by 5

(65+53+20+10) = 155

146 + x = 155

x = 9

The value of angle 1 is 122°.

The value of angle 5 is 58°

The angle of angle 8 is 58°

The angle of angle 14 is 122°

The angle 18 is 58°

It should be noted that this information deals with angles. It should be noted that the value of angle on a straight line is 180°.

In this situation, the value of angle 1 will be:

= 180° - 58°

= 122°

Also it should be noted that vertically opposite angles are equal. Therefore, angle 5 will be 58°.

In this situation, it should also be noted that alternate angles are the same. Hence, Thai gives the value of the angles for angles 8, 14 and 18.

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Answer:

Step-by-step explanation: It looks like Leo is trying to prove that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle. From the equations given, it seems that Leo is using the fact that the sum of the measures of supplementary angles is 180 degrees, and the sum of the measures of the angles of any triangle is 180 degrees, to try to prove his statement. Some equations that Leo could use to complete his argument might include:

x = p + q, which follows from the equation r + x = 180 and the substitution of p + q + r = 180

p + q = 180 - r, which follows from the equation p + q + r = 180 and the substitution of r + x = 180

x = p + q + 2r, which follows from the equation x + r = p + q + r and the substitution of r + x = 180

It's not clear from the information given whether these equations are sufficient to prove Leo's statement, as we don't have any information about the values of p, q, r, or x. However, these equations might be a good starting point for Leo to continue his argument.

Answer:

C,   47°

Step-by-step explanation:

All triangles equal 180°

To find the measure of angle 1, subtract the other angles from 180°

180 - 70 - 63 = 47

Answer:

x = 26

Step-by-step explanation:

x + 272 = 298

x = 298 -272

x = 26

I hope my answer helps you.

The equation that represents "Twenty five is one sixth of the number n" is:25 = (1/6) * n

The equation "25 = (1/6) * n" represents the relationship between the number 25 and an unknown number, n. It states that 25 is equal to one sixth of n. In other words, if we multiply the unknown number n by one sixth (or divide n by 6), we will obtain the value of 25. This equation can be used to solve for the value of n by multiplying 25 by 6, which would give us the unknown number. It provides a clear mathematical expression of the given relationship and allows us to find the value of n based on the given condition.The equation states that 25 is equal to one sixth of the number n. This means that if we take one sixth of the value of n, we will get 25 as the result. In other words, if we divide the value of n by 6, the quotient will be 25.

To understand it conceptually, imagine that we have a number n and we want to find one sixth of that number. By dividing the number by 6, we can determine how many equal parts make up the whole number, and one of those parts is equal to 25.

This equation is useful in various situations, such as solving problems involving proportions or determining unknown values when given a fraction of a number.

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Comparing both given functions, we can state that: B. Function 1 has the greater rate of change; the slope is 2.

Another name for the rate of change of a function is the slope. It is calculated using the formula:

Slope / rate of change = change in y / change in x.

If the equation of a linear function is given in slope-intercept form as y = mx + b, the rate of change or the slope is represented by "m".

Given the first function as an equation, y = 2x - 6, the slope of this function is represented as 2. This means, the rate of change is m = 2.

To find the rate of change of function 2, use two points from the table, (1, -4) and (2, -5):

Rate of change / slope (m) = (-5 - (-4)) / (2 - 1) = -1/1

m = -1.

The slope value of 2 is greater than the slope value of -1, therefore, we can conclude that: B. Function 1 has the greater rate of change; the slope is 2.

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Answer:

discrete and continuous data

Answer:

a. Discrete data

b. Continuous data

c. Discrete data

d. Continuous data

Step-by-step explanation:

a. It is always possible to count the number of customers in a line, this is a type of discrete random variable.

b. The weight of a baby in its first year or the temperature in a room throughout the day.

c. Shoe sizes can be decimals (7.5 or 8.5) but there are still a fixed set of possible values with gaps between them (there is no 7.9 shoes size). Therefore shoe size is a discrete random variable.

d. The length is typically considered a continuous variable, since, a sea otter will typically not measure exactly 5 feet, but the length will differ by some fraction of a foot.

Answer:

99987766554446677765

Answer:B) -2x + 3y = 12 represents the graph.The y-intercept is 4, and the line intercepts the x-axis at -6. Therefore, the slope of the line is 4/6=2/3. The format for a linear equation is y=(slope)x+y intercept. So the equation would be y=2/3x+4. We can see that option B simplifies that. Adding 2x from both sides of the equation and we get 3y=2x+12. 

If 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.

It is given to us that -

17 guests are in attendance at a baby shower

5 of them are randomly selected for a prize

All the 5 prizes are identical

We have to find out the number of ways in which the prizes can be awarded.

In this case, we have to use the combination formula to find the required answer.

We know that the combinations of n number of objects taken r at a time can be represented by the formula as -

[tex]C(n,r) = r!\frac{n!}{(n-r)!}[/tex]   ------ (1)

where,

n = total objects in the given set

r = total chosen objects from the given set

According to the given information, we have -

n = 17

r = 5

Substituting these values in equation (1), we have

[tex]C(n,r) = r!\frac{n!}{(n-r)!}\\= > C(n,r) = 5!*\frac{17!}{(17-5)!}\\= > C(n,r) = 5!*\frac{17!}{12!}\\= > C(n,r) = 89107200[/tex]

Therefore, if 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.

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Step-by-step explanation:

in a dilation all the angles stay the same. only the lengths of lines (like sides or heights) change - and all with the same scale factor (which makes the original and the dilated result similar objects).

angle EDC = 117°.

therefore angle E'D'C' = 117°.

AB = 1.8 in

A'B' = 4.5 in

the scale factor r is

r = 4.5 / 1.8 = 2.5

every segment of A'B'C'D'E'F' is parallel to its original counterpart in ABCDEF.

like

AB to A'B'

as well as

BC to B'C'

CD to C'D'

DE to D'E'

EF to E'F'

that is the reason why projections work (even at an inclined angle of the projection screen the picture might seem strangely stretched, but the angles are still all the same, parallel lines remain parallel, perpendicular lines remain perpendicular, ... - and the viewer still recognizes the pictures).

Answer:

x = 12

Step-by-step explanation:

6x = 72 ( isolate x by dividing both sides by 6 )

x = 72 ÷ 6 = 12

Answer:

Step-by-step explanation:

6x = 72

Here, 6 is in multiplication with the variable x.

We will move 6 to the right side. With this the 6 which was in multiplication with x will now go in division with 72, by rule.

x = 72/6

x = 12

therefore, x = 12

To measure the length of a line segment AB, place the zero marking of the ruler along the beginning of the line and measure its length.

A line segment has two definite endpoints in a line, and the line segment is fixed, which is the distance between two fixed points. The length can be measured by metric units such as centimeters, and millimeters.

A line segment with two endpoints A and B and is denoted by the bar symbol (—).

Using Ruler and Compass:

There are some markings on the ruler beginning from zero as shown in the figure. these markings divide the ruler into equal parts.

Each part is equal to a length of 1 cm and these units are measured in centimeters and are further subdivided into 10 parts and each sub-part is equivalent to 1 millimeter.

To measure a line segment AB, place the zero marking of the ruler along the beginning of the line and measure its length accordingly.

ln the figure, the length of line segment AB is 8 cm.

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