I don't get this, I would be happy if someone helped me.

Answer:

D

Step-by-step explanation:

Answer:

60/100=42/*

Step-by-step explanation:

Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.

To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.

Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.

Using the formula: PV = C / (1+r)^n
Where PV is the present value,

C is the cash flow,

r is the interest rate, and

n is the number of periods.

At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91

Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.

At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92

Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47

When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31

When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19

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Answer:

y = (9/2)x + 12

Step-by-step explanation:

The y-intercept is 12 because when the number of games on the x-axis is 0 the cost on the y-axis was 12. The slope is 9 over 2 because the slope is rise over run and if you count up from one point to the next whole number point you get 9 and if you count over from there horizontally you get 2.

the sum of the angles in a triangle must be 180°

so we have

75+40+ m22 =180

clearing m22

m22=180-75-40 =65

so the right answer is 65°

Answer:

5 km/h

Step-by-step explanation:

Speed of man in still water = s

Speed of current = c

Speed upstream = s - c

Distance upstream = 24 km

Time upstream = 6 hours

Speed downstream = s + c

Distance downstream = 36 km

Time downstream = 6 hours

Speed Equation

speed = distance/time

distance = speed × time

d = st

We write a distance equation for upstream and a second distance equation for downstream.

Upstream:

d = st

24 = (s - c) × 6

Divide both sides by 6 and switch sides:

s - c = 4        Equation 1

Downstream:

d = st

36 = (s + c) × 6

Divide both sides by 6 and switch sides.

s + c = 6       Equation 2

We now have two equations in two variables. We use equations 1 and 2 as a system of equations.

s - c = 4

s + c = 6

Add the equations to use the addition method.

2s = 10

s = 5

Answer: 5 km/h

By applying unitary method, 222 glasses of tap water would cost 10 cents.

According to the question , it is given that 4000 glasses of tap water cost the same as a six-pack of soda and six-pack of soda costs $1.80. That is it can be written numerically as,

Cost of 4000 glasses of water = 6 pack of soda

Cost of 6 pack of soda = $1.80

Then from the above two equation it can be written as,

 Cost of 4000 glasses of water = $1.80       (1)

We have to find, how many glasses of water would cost 10 cents, that is,

Cost of x glasses of water = 10cents

Firstly converting cents into dollar. We know that 1dollar = 100 cents

So, 10cents = 10/100 dollar

                    = 0.1 dollar

Therefore, Cost of x glasses of water = 0.1dollar    (2)

Now applying unitary method, equation (1) and (2) can be written as

$1.80 = 4000

$0.1 = (4000*0.1)/1.8

         = 222.22 ≈ 222

Hence, 222 glasses of water would cost 10 cents.

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Answer:

30/x

Where x is the number

For a production company of total 24 workers, who works in different shifts. The probability that all 6 workers are selected from the same shift is equals to the 0.0019.

We have a company with faculty working in different shifts. Total number of workers in company = 10 + 8 + 6 = 24

Number of workers work in day shift = 10

Number of workers work in swing shift= 8

Number of workers work in graveyard shift = 6

Now, 6 workers are randomly selected from among 24. That is any of group of 6 can be selected. Number of possible ways to select 6 out of 24 = ²⁴C₆=134,596.

Number of ways to select a group of 6 workers from morning shift = ¹⁰C₆ = 210

Number of ways to select a group of 6 workers from swing shift = ⁸C₆= 56

Number of ways to select a group of 6 workers from graveyard shift = ⁶C₆ = 1

Now, probability to select the group of 6 from morning shift = \(\frac{210}{134596}\)

Probability to select the group from morning shift = \(\frac{56}{134596}\)

Probability to select the group from graveyard shift=\(\frac{1}{134596}\).

Total probability for selecting a group of 6 workers from same shift \(= \frac{210}{134596} + \frac{56}{134596} + \frac{1}{134596} \)

\(= \frac{267}{134596}\)

= 0.00198

Hence, required probability is 0.0019.

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Complete question:

a production company factory 10 workers on day shift , 8 workers on swing shift and 6 workers on graveyard shift. A quality control team select 6 workers for in depth interviews.. Suppose the selection made in such a way that any particular group of 6 workers has same chance to selecting as does any other group( drops 6 slips without replacement from among 24 )

what is the probability that all 6 workers are selected from the same shift, again, assume the employees are selected sequentially and not all at once. round your answer to four decimal places. save your answer as p all same.

Answer:

Step-by-step explanation:

ee

Answer: $92.75

Step-by-step explanation:

I think this is the answer, sorry if incorrect. When finding the total area of the wall you split the shape in 2. You would get 175 + 1150 inches squared. You then get the total of 1,325 inches squared as the total area of the wall. You divide that number by the number of inches of each tile, which would get you 53 tiles that will be on the wall. Times 53 by the price of each tile, $1.75, and get the answer of $92.75. Hope this helps!

The correct probability value is .2884.

The summary answer is that the probability of 8 out of the 10 selected employees being from a union can be calculated using the hypergeometric probability formula.

In the second paragraph, I will explain the calculation and reasoning behind this probability value.

To calculate the probability, we use the hypergeometric probability formula, which applies when sampling without replacement from a finite population. In this case, we have 30 employees in total, with 20 belonging to the union and 10 being randomly selected for the group.

The probability of selecting exactly 8 employees from the union can be calculated as follows:

P(X = 8) = (C(20, 8) * C(10, 2)) / C(30, 10)

Here, C(n, k) represents the number of combinations of choosing k elements from a set of n elements. In this case, we select 8 employees from the union out of the 20 available, and 2 employees from the non-union group out of the remaining 10 employees. The denominator represents the total number of possible combinations of selecting 10 employees out of the 30 in the assembly plant.

After performing the calculations, the probability value is .2884, rounded to four decimal places.

Therefore, the correct probability of 8 out of the 10 selected employees being from a union is .2884.

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Using the graph, the value of r(-2) is 8

From the question, we are to determine the value of r(-2)

The given graph is the graph of the function r(x), and we have that

y = r(x)

To determine the value of r(-2), we will trace from the point where x = -2 on the graph to the parabola (the curve of a quadratic function), and then read the corresponding value on the y-axis by tracing this point to the y-axis.

On the graph, if we trace from the point x = -2, to the curve, we will find out that the value of y is 8.

Thus,

From y = r(x), we can write that

8 = r(-2)

∴ r(-2) = 8

hence, the value of r(-2) is 8

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The geometric series that has been provided is of divergence, since r>5.

The series is given as /10 + 3/2 + 15/2 + 75/2 + 325/2 +.....

The common ratio is

3/2 ÷ 3/10

= 3/2 ×10/3

= 5

Then,

15/2 ÷ 3/2

= 15/2 × 2/3

= 5

Thus, the common ratio is greater than 5. Therefore, the series is divergence.

Hence, the given geometric series is divergence, since r>5.

A series is considered to be convergent if the partial sums tend to a particular value, also known as a limit. In contrast, a divergent series is one whose partial sums do not approach a limit. Typically, the Divergent series either reach, reach, or don't reach a particular number.

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Answer:

19

Step-by-step explanation:

I hope this helps!

Answer:

C

Step-by-step explanation:

Consider f(x) = x^3 and g(x) = (x+1).

Every point is then shifted to the left. Why?

We can plug in some points, let's say x=0.

For f(x), we get 0, for for g(x), we get 1.

Normally, f(x) = 1 when x = 1, but now g(x) = 1 at x = 0. Basically, every point is now shifted left. It's a general rule you have to remember. Sometimes, I used to mix up the plus and minus signs becuase + intuitively for me (at least after doing some physics) is right. But it actually shifts the graph to the left. Just plug in some points and see for yourself. It's honestly the best explanation I can give you at this point in time.

Answer:

1) 54+2x=5x−6−18x Distributive Property

2) 60=−15x Division Property of Equality

3) −4=x Division Property of Equality

Explanation:

1.) This answer is Distributive Property because the parenthesis in the original equation were removed through the process of distributing.

3(–2 – 6x) was distributed by multiplying 3 • –2 and 3 • –6x to get –6 – 18x

2.) This answer is Division Property of Equality because for all real numbers x, y, and z, if x = y and z ≠ 0, then x/z = y/z. This is true in this equation because of 60/–15 = −15x/–15.

3.) Division is used to get the value of x, which is –4.

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To find the sample size for a given margin of error for a single population proportion, we need to use the formula:

n = (z^2 * p * (1-p)) / (margin^2)

where:
- n is the sample size
- z is the z-score corresponding to the desired level of confidence (e.g. 1.96 for 95% confidence)
- p is the estimated population proportion (if unknown, we can use 0.5 as a conservative estimate)
- margin is the desired margin of error

This formula helps us calculate the minimum sample size needed to estimate the population proportion with a given level of confidence and margin of error. The larger the sample size, the more accurate our estimate will be.

It's important to note that this formula assumes a simple random sample from the population and that the population proportion is constant throughout the population. If these assumptions are not met, the sample size may need to be adjusted accordingly.The sample size for a given margin of error for a single population proportion. To do this, we will use the following formula:

n = (Z^2 * p * (1-p)) / E^2

Where:
- n is the sample size
- Z is the Z-score (usually 1.96 for a 95% confidence level)
- p is the population proportion (estimated)
- E is the margin of error

Step 1: Determine the Z-score, population proportion (p), and margin of error (E) from the problem statement.

Step 2: Plug the values into the formula and solve for n.

n = (Z^2 * p * (1-p)) / E^2

Step 3: If the calculated sample size (n) is not a whole number, round it up to the nearest whole number, as you cannot have a fraction of a sample.

That's how you find the sample size for a given margin of error for a single population proportion. Remember to replace Z, p, and E with the values given in your specific problem.

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The linear equation that passes through the two given points is:

x = 2.

A general linear equation can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we have the points  (2, -3) and (2, 6), then the slope is:

a = (6 + 3)/(2 -2 )

There we have a division by zero, which means that our line will be a vertical line of the form:

x= a

And becausein both of our points the x-value is 2, we conclude that the line is:

x = 2.

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Answer:

x=7,-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(x^{2} +12x-7x-84=0\)

\(x^{2} +5x-84\)=0T

tIENES QUE REALIZAR ESTA FÓRMULA:

\(te lo explico en los comentarios que aqui cuesta escribir\\\) I

Hope this helps

The general form of an exponential function is y = a(b)^x, where 'a' is the initial value or y-intercept, 'b' is the growth factor or base, and 'x' is the input variable.

To find the equation of the exponential function represented by the table, we need to determine the values of 'a' and 'b'.

From the table, we can see that when x = 0, y = 3. This means that the initial value or y-intercept is 3, so we can set a = 3.

Next, we can use the values of y to find the growth factor or base 'b'. We can start by finding the ratio of two consecutive y-values:

12/3 = 4

48/12 = 4

192/48 = 4

The ratio of any two consecutive y-values is constant and equal to the growth factor 'b'. Therefore, we can set b = 4.

Now we can write the equation of the exponential function:

y = 3(4)^x

Therefore, the equation of the exponential function represented by the table is y = 3(4)^x.

Possible values of ∠L, to the nearest degree  is ∠L = 158° or ∠L = 74°

We can use the Law of Cosines to solve for ∠L.

The Law of Cosines states that for a triangle with side lengths a, b, and c and opposite angles A, B, and C, c² = a² + b² - 2ab cos(C).

Therefore, we can substitute in the given information to solve for ∠L.

c² = l² = 84² = 7056

a² = k² = 40² = 1600

b² = m² = unknown

2ab cos(C) = 2(40)(m) cos(22°)

Solving for m, we get

m² = 7056 - 1600 + 80cos(22°) = 5496 + 80cos(22°)

Taking the square root of both sides, we get

m = √(5496 + 80cos(22°))

Now, we can use the Law of Cosines again to solve for ∠L.

m² = l² + k² - 2lk cos(L)

Substituting in the values and solving for cos(L), we get

cos(L) = (l² + k² - m²)/(2lk)

cos(L) = (84² + 40² - (√(5496 + 80cos(22°)))²)/(2(84)(40))

cos(L) = 0.7860

Finally, we can use the inverse cosine to find the angle ∠L, to the nearest degree.

cos⁻¹(0.7860) = 74° or 158°

Therefore, ∠L = 74° or 158°.

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Answer:

You keep adding 15.

Step-by-step explanation:

5+15=20

20+15=35

35+15=50

50+15=65

Answer:

x = -21

Step-by-step explanation:

The first you have to do is distribut the -8 to the -14 and x. Once you do that, you get 280 = 112 - 8x. Next, you need to subtract 112 from each side, so you get 168 = -8x. Now, you divide -8 from each side and you get -21 = x. Hope this helps!

Answer:

0.76

or

-0.76

hope this helps

The helix intersects the sphere at two points: (2.512, -1.312, 3.290) and (-2.512, 1.312, -3.290).

To find the points of intersection, we need to solve the system of equations given by the parametric equations of the helix and the equation of the sphere:

x = sin t

y = cos t

z = t

x^2 + y^2 + z^2 = 17

Substituting the first three equations into the fourth, we get:

sin^2 t + cos^2 t + t^2 = 17

Simplifying, we get:

t^2 + 1 = 17

t^2 = 16

t = ±4

Substituting these values of t into the equations for x and y, we get:

When t = 4, x = sin 4 ≈ 0.757 and y = cos 4 ≈ 0.654.

When t = -4, x = sin (-4) ≈ -0.757 and y = cos (-4) ≈ 0.654.

Now, substituting these values of x, y, and t into the equation for z, we get:

When t = 4, z = 4.

When t = -4, z = -4.

Therefore, the two points of intersection are (0.757, 0.654, 4) and (-0.757, 0.654, -4), which can be rounded to (2.512, -1.312, 3.290) and (-2.512, 1.312, -3.290), respectively.

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Standard error of the mean is 1.375 and margin of error of the mean is 2.694.

Based on the provided information, mean µ = 67.8 and standard deviation σ = 11.5. The sample size n = 70

The standard error (SE) of a statistic refers to the standard deviation of its sampling distribution or an estimate of that standard deviation.

Standard error (SE) is given by:

SE = σ/√n = 11.5/√70 = 1.375

The margin of error (MOE) refers to a statistic demonstrating the amount of random sampling error in the results of a survey.

Margin of error (MOE) is the standard error multiplied by a Z value that correspondence to a confidence percentage. Assuming a 95% confidence the Z value is 1.96. Hence,

MOE = z * σ/√n = 1.96 x 1.374 = 2.694

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The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer:

What Graph?

Step-by-step explanation:

Answer:

you have to put the image of the graph