MEANING OF 万華鏡 AND ビアクガン

Answers

Answer 1

Answer:

kaleidoscope and Biakgan

Step-by-step explanation:


Related Questions

A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the
nearest 1000th, that both marbles drawn will be blue?
PLEASE HELP IF YOU CAN

Answers

Answer:

0.111

The probability of two blue marbles being drawn from the bag to all marbles is 2/18, and 2/18 ----> 0.11 rounded to nearest thousandth.

Step-by-step explanation:

Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
I’ll mark brainliest to the first answer I get

Answers

\(\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}\)

\(\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}\)     (adding the second equation to the first one)

\(\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}\)

A clerk counted 13 small baseball caps, 36 medium baseball caps, and 27 large baseball caps on the store shelves. She also counted 10 small baseball caps and 15 medium baseball caps in the stockroom.
Organize the data in a matrix. Name the matrix B. Label the rows and columns.
Each baseball cap sells for $19. Create the matrix that shows the total value of each cap size in each location. Show your work.

Answers

The matrix B that organizes the data is given as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The matrix that shows the total value of each cap size in each location is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

How to define the matrix B?

The matrix B is defined considering that it will have three rows and three columns, as follows:

Row 1: Number of each type of cap on the store shelves.Row 2: Number of each type of cap on the stockroom.Row 3: Total number of each type of car -> Row 1 + Row 2.Column 1: Small caps.Column 2: Medium caps.Column 3: Large caps.

Then the matrix B is defined as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The cost of each baseball cap is of $19, thus the cost matrix is obtained multiplying the matrix B by the constant of 19.

When a matrix is multiplied by a constant, all the elements of the matrix are multiplied by the constant, hence the cost matrix is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

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Please help!! I included a pic of the problem to make it easier.

Find the quotient (z/w)

z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)

[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these

Please help!! I included a pic of the problem to make it easier. Find the quotient (z/w)z = 6(cos(pi/3)

Answers

Answer: i think it is D

we have:

\(\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }\)

Step-by-step explanation:

look at the picture please hell

look at the picture please hell

Answers

Answer:

2 one that's the right one

t + 4 < 13 solve the inequality of t and simplify your answer as much as possible

Answers

Answer:

9

Step-by-step explanation:

t < 13 - 4

t < 9

again as far as it goes

a manufacturer wishes to set a standard time required by employees to complete a certain process. times from 21 employees have a mean of 6 hours and a standard deviation of 2 hours. test if the mean processing time exceeds 5.5 hours. what is the -value of the test (round off to second decimal place)? assume normal population.

Answers

The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

How to calculate the t-value?

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

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Habian 4 gatos pero vinieron otros 4 pero se fueron cinco gatos entonces vinieron 8 mas pero se fueron 7 gatos, cuantos gatos quedaron al final?

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Four cats were left at the end if there were 4 cats but another 4 came but five cats left then 8 more came but 7 cats left and ratio of the cats left is 4/8.

At first, there were 4 felines. At the point when another 4 felines showed up, the absolute number of felines became 8. Notwithstanding, 5 felines left, leaving just 3 felines. Then, at that point, 8 additional felines showed up, making the absolute number of felines 11. Be that as it may, 7 felines left, leaving just 4 felines toward the end.

In more detail, we can separate the issue into each step:

At first, there were 4 felines.

Another 4 felines showed up, making the absolute number of felines 8.

Nonetheless, 5 felines left, leaving just 3 felines.

8 additional felines showed up, making the absolute number of felines 11.

At last, 7 felines left, leaving just 4 felines toward the end.

Thusly, the response is 4 felines were left toward the end. We can sum up this issue utilizing the accompanying condition:

4 + 4 - 5 + 8 - 7 = 4

This condition shows that we start with 4 felines, add 4, deduct 5, add 8, and afterward take away 7 to come by the end-product of 4 felines left.

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Help me pls. I need the answer so i can get a good grade and get my math credit

Help me pls. I need the answer so i can get a good grade and get my math credit

Answers

Answer:

D

Step-by-step explanation:

the zero is the value of x where the line crosses the x- axis, that is

zero is x = - 2

Five employees are available to perform four jobs. The lime it takes each person to perform each job is given in Table 50. Determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs.
TABLE 50
Person
Time (hours)
Job 1
Job 2
Job 3
Job 4
1
22
18
30
18
2
18

27
22
3
26
20
28
28
4
16
22

14
5
21

25
28

Answers

To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

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payments of $1400 each year for 8 years at 6ompounded annually

Answers

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Dell Computers receives large shipments of microprocessors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Dell decides to test five microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned. Calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors.
a 0.5905
b 0.3979
c 0.3995
d 0.4550

Answers

The probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors is approximately 0.5905. Hence the correct answer is (a) 0.5905.

To calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors, we can use the concept of binomial probability.

Let's denote the probability of a microprocessor being defective as p = 0.10 (10% defective) and the number of microprocessors Dell tests as n = 5.

We want to calculate the probability that all five tested microprocessors are non-defective, which is equivalent to the probability of having zero defective microprocessors in the sample.

Using the binomial probability formula, the probability of getting exactly k successes (non-defective microprocessors) in n trials is:

\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)

For this case, we want to calculate P(X = 0), where X represents the number of defective microprocessors.

\(\[P(X = 0) = \binom{5}{0} \cdot 0.10^0 \cdot (1 - 0.10)^{5 - 0} \\= 1 \cdot 1 \cdot 0.9^5 \\\\approx 0.5905\]\)

Therefore, the correct answer is (a) 0.5905.

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What is the sum of the squares of the odd integers between 0 and 100?

Answers

Answer:

2500

Step-by-step explanation:

the sum of the squares of the odd integers between 0 and 100 is 2500

A bicycle repair shop offers two service packages to its customers: a tune up or a complete overhaul, which includes the tune up plus some additional services. All bicycles go through wheel balancing before leaving the shop. The repair shop is open 60 hours per week and receives an average of 180 bicycles each week. The shop employs three "tune up" technicians, one "additional services" technician, and two wheel balancing" specialists. Past data indicates that 25% of customers opt for the "additional services" option. Wheel Tune Up Balancing T = 75 T= 20 minutes minutes Additional Services T = 72 minutes a) Create a demand matrix for this process b) What will be the daily capacity at each stage of the process? c) Find the implied utilizations for each stage of the process. d) What will be the weekly capacity of the process? e) Is the flow rate of this process capacity-constrained or demand-constrained?

Answers

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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mathew lucy and finley sold a total of 56 games at a car boot sale the ratio of games that they each sold is 2:5:1 how many more games did lucy sell than finley

Answers

The number of more games that Lucy sells than Finley will be 28 games.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Mathew, Lucy, and Finley sold a total of 56 games at a car boot sale. The ratio of games that they each sold is 2:5:1.

Let 'x' be the common factor. Then the equation is given as,

2x + 5x + 1x = 56

8x = 56

x = 7

Then the number of more games that Lucy sells than Finley will be given as,

⇒ 5 × 7 - 1 × 7

⇒ 35 - 7

⇒ 28

The number of more games that Lucy sells than Finley will be 28 games.

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Please solve this equation for me
(x-y)(x-z)=​

Answers

Answer:

\(x^{2} -xz-xy+yz\)

Step-by-step explanation:

To answer this question we have to multiply each value of a bracket by every value from the other bracket!

It is super important to make sure that we take in consideration the operations of each value

Firstly, we are going to multiply the x in the first bracket by every value in the other bracket...

\(x\) × \(x\) = \(x\)²\(x\) × \(-z\) = \(-xz\)

Now we are going to multiply the \(-y\) by everything in the other bracket...

\(-y\) × \(x\) = \(-xy\)\(-y\) × \(-z\) = \(yz\)

This leaves us with \(x^{2} -xz-xy+yz\)

Hope this helps, have a lovely day! :)

Solve the inequality
5-4x<17

Show steps please

Answers

Answer: \(x>-3\)

Step-by-step explanation:

\(5-4x<17\)

\(5-4x-5<17-5\)

\(-4x<12\)

Multiply both sides by -1 and reverse the inequality:

\(\left(-4x\right)\left(-1\right)>12\left(-1\right)\)

\(4x>-12\)

\(x>-3\)

The area of a square is 36 square feet. each side of the square measures

Answers


6 ft for each side, bc area is side times side, which 6x6=36

determine the intercepts of the line

x intercept: ?,?
y intercept: ?,?

determine the intercepts of the linex intercept: ?,?y intercept: ?,?

Answers

Answer:  

x-int = 4.5  

y-int = -1

Buddy you don't need to spam the question btw

Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.(6,6)

Answers

The polar coordinates of the point (6, 6) are approximately (8.49, 0.79) in radians.

To convert the point (6, 6) from Cartesian to polar coordinates, we can use the formulas:

r = √(x² + y²)

θ = arctan(y/x)

Given that the point is (6, 6), we can substitute the values into the formulas to find the polar coordinates.

r = √(6² + 6²) = √(36 + 36) = √72 ≈ 8.49

θ = arctan(6/6) = arctan(1) = π/4 ≈ 0.79 (radians)

In polar coordinates, the value of r represents the distance from the origin (0, 0) to the point, and the value of θ represents the angle (measured in radians) between the positive x-axis and the line connecting the origin to the point. The angle θ is usually measured counterclockwise from the positive x-axis.

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Complete question is:

Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.

(6,6)

The four control points in 2D plane are Po(0,0) ?, (1, 1), P₂ (2,-1) and P3 (3,0). The tangent veehrs at the end points are Po'(1,1) & P3'(1,1). Determine the intermiclate points on the Humite curve at t = 1/3 & 2/3

Answers

The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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What is the sum of 1/8+5/15+3/8​

Answers

Answer:

pls give me brainliest

Step-by-step explanation:

0.83333333333

Answer:

5/6

Step-by-step explanation:

What is the sum of 1/8+5/15+3/8
What is the sum of 1/8+5/15+3/8

Which rigid motion is shown below?*
F
חד
O Reflection
O
Rotation

Which rigid motion is shown below?*FO ReflectionORotation

Answers

That is rotation, good luck on your work!

someone help me please

someone help me please

Answers

Answer:

8

Step-by-step explanation:

Basically insert 18 where the X is and go from there!

2/3 (18) - 4

2/3 × 18 = 12

12 - 4 = 8

How many times can you fit 8 hours and 24 hours?

Answers

Answer:

in what? if you meant 8 hours in 24 hours than 3 times

Step-by-step explanation:

Answer:

The answer is 3 times.

Step-by-step explanation:

\(since \: 8 \times 3 =24

then \: you \: can \: fit \: 8 \: hours \: 3 \: times \: in \: 24 \: hours.\)


7. Is 5.787787778... a rational or irrational number?
Explain.

Answers

Answer:

Rational ...................

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number

solve the logarithmic equation 2log4-log3+2logx-4=0.

Answers

The logarithmic equation 2log4 - log3 + 2logx - 4 = 0 can be solved by rewriting the equation using logarithmic properties and then solving for x. The exact value of x depends on the logarithmic base used.

To solve the logarithmic equation 2log4 - log3 + 2logx - 4 = 0, we can start by applying logarithmic properties. Using the properties

log(a) - log(b) = log(a/b) and log(a^b) = b log(a), we can rewrite the equation as log(4^2) - log(3) + log(x^2) - log(10,000) = 0.

Simplifying further, we have 2 log(16) - log(3) + 2 log(x) - 4 = 0.

Next, we can combine the logarithmic terms using the property

log(a) + log(b) = log(a * b). This gives us log(16^2 * x^2 / 3) - 4 = 0. Simplifying the logarithm, we have log(256x^2/3) - 4 = 0.

To isolate the logarithm, we can apply the property a = b implies 10^a = 10^b. In this case,

10^(log(256x^2/3) - 4) = 10^0. This simplifies to 256x^2/3 = 10^4.

Finally, we solve for x by rearranging the equation. Multiplying both sides by 3/256, we get x^2 = (3/256) * 10^4. Taking the square root of both sides, we have x = ±√(3/256) * 10^2. Thus, the exact value of x depends on the logarithmic base used, but this provides the general form of the solution.

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no hosting link just a simple answer to my question. please help only if you want a brainliest thank you.

no hosting link just a simple answer to my question. please help only if you want a brainliest thank

Answers

Answer: 5

Step-by-step explanation:

Ravi presses f12 (command shift s) and then clicks on the tools button. what is he doing?

Answers

He is opening a dialog box to access a second workbook by pressing F12 and then clicking tool box.

A dialog box is a temporary window an application creates to retrieve user input. An application typically uses dialog boxes to prompt the user for additional information for menu items.It (also spelled dialogue box, also called a dialog) is a common type of window in the GUI of an operating system. The dialog box displays additional information, and asks a user for input. For example, when you are using a program and you want to open a file, you interact with the "File Open" dialog box.

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a quiz consists of 10 multiple-choice questions, each with 6 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.

Answers

The probability of passing a 10-question multiple-choice quiz by random guessing is about 2.4%.

How to find the probability

A quiz consists of 10 multiple-choice questions, each with 6 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.

The probability of a random guess being correct for a single multiple-choice question with 6 options is 1/6, or approximately 0.17.

To find the probability of passing the quiz with a minimum passing grade of 50%, we need to calculate the probability of getting 5 or more correct answers out of 10.

This can be calculated as the sum of the probabilities of getting exactly 5, 6, 7, 8, 9, or 10 correct answers:

P(pass) = P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

where P(x) is the probability of getting exactly x correct answers.

This can be calculated using the binomial distribution and its cumulative distribution function (CDF). The result is approximately 0.024, or 2.4%.

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