The result of a game is Win, Lose or Draw.

After 120 games

relative frequency of the result Win is 0.2

relative frequency of the result Lose is 0.35

How many of the games had the result Draw?

The area to the right of z = 2.01 is 0.0222, which can be found using a standard normal distribution table.

Explanation:

To find the area to the right of z = 2.01, we need to use a standard normal distribution table. A standard normal distribution has a mean of 0 and a standard deviation of 1. The table gives the area under the curve to the left of a given z-score.

Since we want the area to the right of z = 2.01, we need to subtract the area to the left of z = 2.01 from 1. Using the table, we can find that the area to the left of z = 2.01 is 0.9778. Therefore, the area to the right of z = 2.01 is 1 - 0.9778 = 0.0222.

The area to the right of z = 2.01 represents the probability that a standard normal random variable takes on a value greater than 2.01 standard deviations above the mean. This can be used in various applications, such as hypothesis testing or confidence interval estimation, where we want to find the probability of observing a sample mean that is a certain number of standard deviations away from the population mean.

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0.19 decimal is equivalent to 19%.

Given that,

A waiter earned a 19% tip.

We have to determine,  

What decimal is equivalent to 19%?

According to the question,

To determine the decimal is equivalent to 19% calculation must be done in a single unit following all the steps given below.

Here, The 19% is equivalent to,

\(= \dfrac{19}{100} \\\\= 0.19\)

Hence, 0.19 decimal is equivalent to 19%.

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Answer:

Quadrant IV

Step-by-step explanation:

In Quadrant I the numbers are both positive.

In Quadrant II the number on the x-axis is negative while the number on the y-axis is positive.

In Quadrant III both numbers are negative.

In Quadrant IV the number on the x-axis in positive while the number on the y-axis is negative.

Since your plot point was (a, -b), the number in the y-axis is negative meaning it's located in Quadrant IV.

Answer:

23.73pi (rounded to the nearest hundredth)

Step-by-step explanation:

You can find the radius of the half-circle by looking at the triangle. You then calculate the area of a circle with that radius and divide the area by 2. Area of full circle=113.1

113.1/2=56.55. You must now calculate the area of the triangle, (6*6)/2. This gives you 18. Add your areas together, 56.55+18=74.55. Now divide your answer by pi. Then you put it as an equation of 74.55/pi = 23.73pi.

The proof for each theorem is matched as;

<EFC is a right angle: Definition of a right angle

m<EFC = 90; Definition of a tangent line

m<EFC + m<FEC + m<ECF = 180 degrees; triangle sum theorem

90 + m<FEC + m<ECF = 180; substitution property of equality

m<FEC + m<ECF = 90; substitution property of equality

m<FEC + m<ECF = definition of complementary angles

To determine the values, we need to know the following;

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Answer:

y = 1/2x + 7/6

Step-by-step explanation:

The length of BK in the triangle is 8 units

The given parameters are

As a general rule, the median of a triangle divides the triangle into the following ratio

Ratio of median = 2 : 1

This means that

Ratio of median, BK : KU = 2 : 1

Substitute 4 for KU

So, we have

BK : 4 = 2 : 1

Multiply the right ratio by 4

BK : 4 = 8 : 4

By comparison, we have

BK = 8

Hence, the value of BK is 8 units

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The value of x that maximizes the volume of the box is:x = 18 + 3sqrt(17)

To find the value of x that maximizes the volume of the box, we first need to determine an expression for the volume of the box in terms of x.

We know that the length and width of the base of the box will be (54-2x) cm since we are cutting x-cm squares out of each corner. The height of the box will be x cm.

Therefore, the volume of the box can be expressed as:

V = (54-2x) * (54-2x) * x

Simplifying this expression, we get:

V = 4x^3 - 216x^2 + 1458x

To find the value of x that maximizes this expression, we can take its derivative and set it equal to zero:

dV/dx = 12x^2 - 432x + 1458 = 0

We can solve for x using the quadratic formula:

x = [432 ± sqrt(432^2 - 4*12*1458)] / (2*12)

Simplifying this expression, we get:

x = [432 ± sqrt(186624)] / 24

x = [432 ± 432sqrt(17)] / 24

x = 18 ± 3sqrt(17)

Since x represents the length of the side of the square that is cut out of each corner, it must be positive. Therefore, the only valid solution is:

x = 18 + 3sqrt(17)

This value of x maximizes the volume of the box, and we can substitute it back into our expression for V to find the maximum volume:

V = (54-2(18+3sqrt(17)))^2 * (18+3sqrt(17))

V = 5832sqrt(17) - 34992

Therefore, the value of x that maximizes the volume of the box is:

x = 18 + 3sqrt(17)

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Answer : The watermelon weighs more

Step - by - step explanation :

First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )

Second compare . . . 17 > 12

Hope this helped ! :D

Answer:

490km

Step-by-step explanation:

70km/hrs for 7hrs

so if the pigeon flies 70km in one hour we just have to multiply 70 by 7 to get 7hours.

70x7=490km

That means the pigeon flies 490km in 7hrs

9514 1404 393

Answer:

  350, 5, 2668, 4

Step-by-step explanation:

a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350

__

b) mcd(35, 50) = 5

  35 = 5·7; 50 = 5·10

__

c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668

__

d) mcd(116, 92) = 4

  116 = 4·29, 92 = 4·23

Answer:

I'm not 100% sure but I think if you graph them all

where they intersect is the solution

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Answer:

Z

Step-by-step explanation:

The letter 'Z' represents integers.

it comes from the german word "zahlen" which translates to "numbers"

17) its equivalence is 3(x + 2y + 1) (option A)

To determine its equivalence, we will factorize the expression:

Hence, its equivalence is 3(x + 2y + 1) (option A)

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

Step-by-step explanation:

The length of the segment when J is between H and K will be HJ = 21 and JK = 12.

From the information given, J is between H and K and we want to use the segment addition Postulate to solve for x.

It should be noted that:

HJ=4x+9,

Jk=3x+3,

HK=33

Therefore, we will equate the values. This will be:

4x + 9 + 3x + 3 = 33

7x + 12 = 33

Collect like terms

7x = 33 - 12

7x = 21

Divide

x = 21 / 7

x = 3

HJ=4x+9, = 4(3) + 9 = 21

Jk=3x+3 = 3(3) + 3 = 12

Therefore, the length of the segment when J is between H and K will be HJ = 21 and JK = 12.

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Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.

Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

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Answer:

there is no batches but there is gallons

Step-by-step explanation:

Answer:

18 tablespoons of blue paint; 3 batches

Step-by-step explanation:

For 1 batch of paint, she uses 2 cups of white paint and 6 tablespoons of blue paint.

She needs to mix blue paint using 6 cups of white paint.

6 cups is 3 times 2 cups, so she will be making 3 batches.

She also needs to use 3 times the amount of blue paint that she would use for 1 batch.

Since she uses 6 tablespoons of blue paint in 1 batch, she needs to use 3 times as much blue paint.

3 * 6 tablespoons = 18 tablespoons.

Answer:

Using the information given in the exercise, you can draw the following diagram:

Where β is the angle of depression (in degrees) from the edge of the diving board to the surface of the water where Sierra is located.

In order to find the measure of the angle of depression, you need to use the following Inverse trigonometric function:

In this case, you can identify that:

Therefore, substituting the values, you get the following result:

The answer is:

The case in which the triangle can be drawn are

the triangle is most effective viable while the sum of aspects is exactly extra than the 0.33 side.

This hassle is primarily based totally at the triangle inequality assets which states that if the sum of lengths of any aspects of a triangle is extra than the 0.33 side, then it's miles viable to attract a triangle. The indoors angles rule states that the 3 angles of a triangle need to identical 180°. As you may see below, the 3 perspective measurements of obtuse triangle ABC upload to 180°.

Even, if there may be a single pair now no longer enjoyable the circumstance, the triangle will now no longer be viable.The sum of the lengths of aspects needs to be extra than the 0.33 side. If the given lengths fulfill this circumstance then most effective it's miles viable to assemble a triangle.

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The probability of testing positive when a person does not have cancer would be 0.

To determine the probability that a person tests positive for cancer given that they do not have cancer, we need to know two pieces of information: the sensitivity and the specificity of the test.

Sensitivity is the probability that a test correctly identifies individuals with the condition, while specificity is the probability that a test correctly identifies individuals without the condition.

Assuming we have this information, we can use Bayes' theorem to calculate the probability. Bayes' theorem states:

P(A|B) = (P(B|A) ×P(A)) / P(B),

where P(A|B) is the probability of event A occurring given that event B has occurred, P(B|A) is the probability of event B occurring given that event A has occurred, P(A) is the probability of event A occurring, and P(B) is the probability of event B occurring.

In this case, event A is "testing positive" and event B is "not having cancer." We are given that event A does not occur (since the person does not have cancer), so P(A) = 0.

Without the specific values for sensitivity and specificity, we cannot provide an exact probability. However, let's assume the sensitivity of the test is 0.95 (95%) and the specificity is 0.98 (98%) as examples.

Using these values, we can calculate:

P(A|B) = (P(B|A) × P(A)) / P(B)

= (0.02 × 0) / P(B)

= 0.

In this example, the probability of testing positive when a person does not have cancer would be 0. However, please note that these values are just examples, and the actual sensitivity and specificity of a specific test can vary.

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Answer:

46

Count up.

32, 33, 34, 35, 36.

So 32 + 4 = 36

No go from there:

36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46

So 36 + 10 = 46

Your answer is 46

Answer:

46

Step-by-step explanation:

32+4+10=

Add 32 and 4 together to get 36.

36+10=

Add 36 and 10 together to get 46.

46

Answer:

y=5x or y=5x+0

Step-by-step explanation:

there is a slope of 5 and it has no setoff

a) [1,3]: 1.85 m/s, [2,3]: 0 m/s, [3,5]: 7.55 m/s, [3,4]: 7 m/s

b) The estimated instantaneous velocity at t = 3 is positive.

a) The average velocity for each time period can be calculated by finding the change in position divided by the change in time.

a) [1,3]: Average velocity = (s(3) - s(1)) / (3 - 1) = (5.1 - 1.4) / 2 = 1.85 m/s

b) [2,3]: Average velocity = (s(3) - s(2)) / (3 - 2) = (5.1 - 5.1) / 1 = 0 m/s

c) [3,5]: Average velocity = (s(5) - s(3)) / (5 - 3) = (25.8 - 10.7) / 2 = 7.55 m/s

d) [3,4]: Average velocity = (s(4) - s(3)) / (4 - 3) = (17.7 - 10.7) / 1 = 7 m/s

b) To estimate the instantaneous velocity when t = 3 using the graph of s as a function of t, we can look at the slope of the tangent line at t = 3. By visually examining the graph, we can see that the tangent line at t = 3 has a positive slope. Therefore, the estimated instantaneous velocity at t = 3 is positive. However, without more precise information or the actual equation of the curve, we cannot determine the exact value of the instantaneous velocity.

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The general solution to the given Cauchy-Euler equation for t > 0 is:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Let's consider the given Cauchy-Euler equation for t > 0:

t²(d²y/dt²) + 2t(dy/dt) - 20y = 0

To solve this equation, we can assume a solution of the form y(t) = tⁿ, where r is a constant to be determined.

Now, let's find the derivatives of y(t) with respect to t:

dy/dt = rtⁿ⁻¹ d²y/dt² = r(r-1)tⁿ⁻²

Substituting these derivatives back into the Cauchy-Euler equation, we get:

t²(r(r-1)tⁿ⁻²) + 2t(rtⁿ⁻¹) - 20tⁿ = 0

Simplifying this equation, we have:

r(r-1)tⁿ + 2rtⁿ - 20tⁿ = 0

Factoring out tⁿ, we get:

tⁿ [r(r-1) + 2r - 20] = 0

Since t > 0 for the given equation, we can divide both sides of the equation by tⁿ to obtain:

r(r-1) + 2r - 20 = 0

Expanding and rearranging this equation, we get:

r² + r - 20 = 0

Now, we can solve this quadratic equation for r. Factoring it, we have:

(r + 5)(r - 4) = 0

Setting each factor equal to zero, we find two possible values for r:

r + 5 = 0, which gives r = -5 r - 4 = 0, which gives r = 4

These values of r represent the roots of the characteristic equation associated with the Cauchy-Euler equation. Since we have two distinct roots, the general solution to the Cauchy-Euler equation can be written as a linear combination of the corresponding solutions:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Where C1 and C2 are arbitrary constants that can be determined using initial conditions or boundary conditions if provided.

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Answer:

see below

Step-by-step explanation:

3)   8

4)  4

5)  14

6)  47

7)  18/5

8)  3/2

9)  255/4

10)  16

11)  21

12)  40

13)  73.5

14)  1

15)  25/2 or 12.5

16)  0

17)  48

18)   862

19)  9765625

20)  343

21)  8.1x10⁻³

22)  10.24

23)  1/156

24)  n⁷

25)  y⁶

26)  t⁴

27)  error is 0.4² should be 0.02²

28)  5⁴ = 5 x 5 x 5 x 5 = 625

29)  9

30)  100

31)  1

32)  1331

33)  125

34)  1024

35)  64

36)  1296

37)  1/16

38)  16/81

39)  27/125

40)  1/216

hope you enjoy the answers.

Answer:

thx

Step-by-step explanation:

Answer:

XSdfgfcxdcd

Step-by-step explanation: