Given tan 0 9 4) where 0º < 0 < 360°, a) draw a sketch of the angles. Clearly show which quadrants the terminal arm of O lies in and label the principle angle and the related a

The point that should an open circle be drawn exists (0, 0).

The first equation in the system is f(x) = -x, for x < 0.  

This means when x=0, f(x) = f(0) = 0.

Since we have the inequality x<0, this means at the point (0, 0),

the point will be open and not filled in.

Therefore, the correct answer is option b) (0, 0).

The complete question is:

The function f(x) is to be graphed on a coordinate plane

At what point should an open circle be drawn?

a) (–1, 0)

b) (0, 0)

c) (0, 1)

d) (1, 0)

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Answer:

I think the awnser is 250

Answer:

8^-1*5^3/2^-4

=250

Step-by-step explanation:

I hope it's help you

Answer:48

Step-by-step explanation:

multiply 4 and 12

The probability of a student doing well on an exam given that they spend time reading is approximately 0.983 or 98.3%.

To calculate the probability of a student doing well on an exam given that the student spends time reading, we need to use conditional probability.

Let's denote:

P(R) as the probability of a student spending time reading (P(R) = 0.59),

P(E) as the probability of a student doing well on an exam (P(E)),

P(E|R) as the probability of a student doing well on an exam given that they spend time reading (P(E|R) = 0.58).

The formula for conditional probability is:

P(E|R) = P(E and R) / P(R).

Given that P(E and R) = 0.58 (the probability of a student doing well on an exam and spending time reading) and P(R) = 0.59 (the probability of a student spending time reading), we can substitute these values into the formula:

P(E|R) = 0.58 / 0.59 = 0.983.

Therefore, the probability of a student doing well on an exam given that the student spends time reading is approximately 0.983 or 98.3%.

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

126

Step-by-step explanation:

As per my explanation to (b) above, the largest number of primes that could factor such a number is 4.

Note that  2,3,5 and 7   are the smallest primes, then use the reasoning from

(b) above. we are looking for four exponents, that, when 1 is added to each and all are multiplied together, would equal 20.

But no such integers  k, l, m, and n  exist such that (k + 1)(l + 1)(m + 1) (n + 1)  = 20 where k, l,m, and n ≥ 1 so this number, whatever it is, can't have 4 prime factors

Let's drop 7 out of the mix and suppose it has just 3 prime factors 2, 3, and 5 again we are looking for three exponents,  that, when 1 is added to each and all are multiplied together, would equal 20.  Put another way, we are looking for k, l and m ≥ 1   such that (k + 1)(l + 1)(m + 1) = 20

Note that the  only possibility here  is when we have 2 *2 *5  = 20 and the smallest possible product would be 2^(4 )* 3^(1) * 5^(1) =  2^4 * 3 * 5 = 240

Now......the only remaining possibility is  that this number is composed of the two smallest primes, 2 and 3,  and we are looking for  some k  and l ≥ 1 such that (k + 1)(l + 1) = 20 clearly, the only possibilities  are when k = 4 and l = 5, or vice-versa

So this number would factor as either 2^3 * 3^4   = 648  or 2^4 * 3^3 = 432 and both are > 240.

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Answer:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

Step-by-step explanation:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(x) = 2x - 3 ← is in slope- intercept form

with slope m = 2

Answer

Santa visits 5,882,353 kids per hour

Explanation

The mathematical expression to get the number of kids visited per hour is

Total number of kids = 200,000,000 kids

Total number of hours available = 34 hours

Hope this Helps!!!

The given expression is

Replacing the given values, we have

The confidence level in constructing a confidence interval determines the probability that the interval contains the true population parameter. It represents the level of certainty or confidence we have in the accuracy of our estimate.

When constructing a confidence interval, the confidence level is typically chosen in advance and expressed as a percentage, such as 95% or 99%. This level corresponds to the proportion of intervals, calculated from repeated sampling, that would contain the true population parameter. For example, a 95% confidence level means that if we were to construct 100 different intervals using the same method, approximately 95 of them would contain the true parameter. The remaining 5 intervals would not.

A higher confidence level leads to a wider interval, as we need to be more certain about capturing the true parameter. Conversely, a lower confidence level results in a narrower interval, but with a lower level of certainty. It is important to choose an appropriate confidence level based on the desired trade-off between precision and reliability of the estimate.

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The formula one-half(a° - b°) is derived from the fact that the exterior angle of a triangle is equal to one-half the difference between the measures of the two remote interior angles.

To find the measure of angle 1 using the formula one-half(a° - b°), we would simply plug in the known values of a° and b°, and perform the necessary arithmetic operations.

The formula that would be used to find the measure of angle 1 is one-half(a° - b°). This formula applies to a situation where angle 1 is an exterior angle of a triangle, and a° and b° are the measures of the two remote interior angles of the triangle that are adjacent to angle 1. The exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Mathematically, this can be expressed as:

angle 1 = a° - b°.

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Answer:B: 42.8%

Step-by-step explanation:because if you subtract all the money she used from the salary she will still have most of her money and I did the math and I got 42.8%

(f - g)(x) = f(x) - g(x)

… = (3x² - 4) - (4x + 1)

… = 3x² - 4x - 5

Answer:

x = 9

Step-by-step explanation:

→Distribute the \(\frac{1}{3}\) to (5x - 9), and the 2 to \((\frac{1}{3} x + 6)\):

\(\frac{1}{3}\)(5x - 9) = 2( \(\frac{1}{3}x\) + 6)

\(\frac{5}{3}x\) + 3 = \(\frac{2}{3}x\)+ 12

→Subtract \(\frac{2}{3}x\) from both sides:

x + 3 = 12

→Subtract 3 from both sides:

x = 9

The value of x from the given equation is 6.

The given equation is 1/3 (5x - 9) = 2(1/3 x + 6).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 5x/3 - 9/3 = 2x/3 +6/2

5x/3 -3 = 2x/3 +3

5x/3 -2x/3 =3+3

(5x-2x)/3 = 6

3x/3 = 6

x = 6

Therefore, the value of x from the given equation is 6.

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The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

C. 20%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

The answer is 1=5% so 5 × 16 = 80

Answer:

270 per year so 6 years is 1620 and add that with 6000=7620

We can determine that with 97.5% confidence, the maximum number of breakdowns that can be expected in a week would be around four or five.

With 97.5% confidence, the maximum number of breakdowns that can be expected in a week in an Internet trading system is calculated using statistical methods. Given that the network goes down twice a week on average, the upper limit of breakdowns within a week can be determined based on a statistical distribution.

To calculate the maximum number of breakdowns with 97.5% confidence, we can use a statistical approach such as the Poisson distribution. The Poisson distribution is often used to model the number of events that occur within a fixed interval of time, given the average rate of occurrence.

In this case, the average number of breakdowns per week is known to be two. Using the Poisson distribution, we can calculate the upper limit by finding the value of x such that the cumulative probability of x or fewer breakdowns is 97.5%.

By applying statistical calculations or consulting a Poisson distribution table or software, we can determine that with 97.5% confidence, the maximum number of breakdowns that can be expected in a week would be around four or five.

It's important to note that the Poisson distribution assumes certain conditions, such as events occurring independently and at a constant average rate. However, it provides a useful approximation in situations where the number of events follows a similar pattern, as in this case of network breakdowns in an Internet trading system.

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The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

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The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

Step-by-step explanation:

D

If the graph is translated 7 units to the right and 9 units down , then ordered pair after the translation is (1,-3) .

in the question ,

it is given that

the the hexagon on the coordinate plane is Translated

7 units to the right and

9 units down .

So , on moving the point (-6,6) , 7 units to the right

7 is added to the x coordinate .

hence point is (-6+7,6) = (1,6)

on translating (1,6) , 9 units down

we subtract 6 from the y-coordinate .

the point is (1,6-9) = (1,-3) .

Therefore , If the graph is translated 7 units to the right and 9 units down , then ordered pair after the translation is (1,-3) .

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The length of Raj's piece of string is 12x units.

To determine the length of Raj's piece of string, we need to find Kiki's third-longest piece.

Looking at the line plot or list of lengths provided, we can identify the third-longest length of Kiki's pieces.

Let's assume Kiki's third-longest piece has a length of x units.

According to the problem, Raj's piece of string is 12 times as long as Kiki's third-longest piece.

Therefore, the length of Raj's piece of string would be 12 × x units.

We can only express it as 12x units, where x represents the length of Kiki's third-longest piece.

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