what is the probability rule for deciding whether events a and b are independent

Answer:

The ratio of student to teacher is 12.3 to 1

Answer:

1/3 and 4/12

Step-by-step explanation:

A B C is the correct condition for the researcher to calculate the mean.

When a researcher collects a simple random sample of grade-point averages of statistics students, the sample mean can be treated as a value from a population having a normal distribution under the following conditions:

A. The researcher collects more than 30 samples.

B. If the population of statistics students has a normal distribution.

C. If the population of grade-point averages has a normal distribution.

Hence, options A, B, and C are correct. In order to estimate P(at least 5)

with n = 13 and p = 0.5, the following formula should be used:μ = np = (13)

(0.5) = 6.5σ = sqrt(npq) = sqrt(13 × 0.5 × 0.5) = 1.802P(at least 5) = P(X ≥

5.5)Using continuity correction, P(X ≥ 5.5) is equivalent to:P(Z ≥ (5.5 -

6.5)/1.802)P(Z ≥ -0.555) = 0.2918 (rounded to 4 decimal places)Therefore,

P(at least 5) = 0.2918 (rounded to 3 decimal places).Thus, the correct

choice is option A: P(at least 5) = 0.292 (rounded to 3 decimal places).

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Answer:

trial 4 you got this!

Step-by-step explanation:

see how its 22 22 22 22 22 22 than it says 22-24

The probability of event A or B occurring i.e.,  P(A or B) is 0.67.

Given the table of outcomes and their probabilities, you need to find P(A or B), where A is the event "the outcome is greater than 1" and B is the event "the outcome is greater than or equal to 2".

1: Identify the outcomes that satisfy A or B.

A: Outcomes greater than 1: {2, 3, 4, 5}

B: Outcomes greater than or equal to 2: {2, 3, 4, 5}

A or B: Outcomes greater than 1 or greater than or equal to 2: {2, 3, 4, 5}

2: Calculate the probability of each outcome in the combined set A or B.

Outcome 2: Probability 0.19

Outcome 3: Probability 0.13

Outcome 4: Probability 0.31

Outcome 5: Probability 0.04

3: Add up the probabilities of each outcome in the combined set A or B.

P(A or B) = P(2) + P(3) + P(4) + P(5)

P(A or B) = 0.19 + 0.13 + 0.31 + 0.04

P(A or B) = 0.67

Therefore, the probability of event A or B occurring, where A is "the outcome is greater than 1" and B is "the outcome is greater than or equal to 2", is 0.67.

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Answer: B) Group 2

Step-by-step explanation:

Given the data:

Group 1 : 18 25 56 42 29 38 54 47 35 30

Group 2 : 23,19,50,49,67,34,30,59,40,33

Group 3 : 19,22,24,40,45,29,33,29,39,59

Group 4 : 21,23,25,40,35,19,70,40,22,23

The mean absolute deviation (MAD) :

Σ(x - m) / n

Where :

m = mean ; n = number of observations

Using calculator to save computation time :

GROUP 1:

m = 37.4 ; n = 10

Mean Absolute deviation = 10

GROUP 2:

m = 40.4 ; n = 10

Mean Absolute deviation = 12.68

GROUP 3:

m = 33.9 ; n = 10

Mean Absolute deviation = 9.48

GROUP 4:

m = 31. 8; n = 10

Mean Absolute deviation = 11.56

9.48 < 10 < 11.56 < 12.68

Group 3 < group 1 < group 4 < group 2

Group 2 has the highest mean absolute deviation with a value of 12.68

Answer:

group 4

Step-by-step explanation:

USA test preo

Answer:

  44°

Step-by-step explanation:

Arc DC has the same measure as the central angle that intercepts it: ∠DOC.

Arc DC is 44°.

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

A catering service offers ​appetizers, main​ courses, and desserts. A banquet committee is to select ​appetizers, main​ courses, and desserts. Then it can be done in 6 ways

We have 3 items (n = 3),

Appetizers = A

Main course = M

Dessert = D

which can be ordered in 6 different ways. The problem is solved by thinking it as a permutation of 3 elements.

The formula for that is:

P = n!

P = 3! = 3 x 2 x 1 = 6

Let's see check it:

AMD

ADM

MAD

MDA

DMA

DAM

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A total number of 4 x 10⁶ DVD's were sold in the span of next three years.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that in 1996, 1 million DVDs were sold.

Since no further information is given, assume that the increase in the sales of the DVD's took place at the same rate every year. So, initially, 1 million DVD's have been sold. So, for the next {x} years, we can write the total number of DVD's sold as -

y = mx + c

y = 10⁶x + 10⁶

y = 10⁶(x + 1)

For {x} = 3, we can write -

y = 4 x 10⁶

Therefore, a total number of 4 x 10⁶ DVD's were sold in the span of next three years.

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Answer: we can not see the question

Probability that mean gpa is 3.95 or lower :Since we know that the population standard deviation is given by .2 and the sample size is 50. We can make use of the Central Limit Theorem to obtain the sampling distribution of the mean.

Standard deviation of sampling distribution:The standard deviation of the sampling distribution is given by the formula:\(σx¯=σ/√nσx¯=0.2/√50σx¯=0.02828\)
Therefore, for the given data, we have:Mean gpa=4.0Standard deviation=0.2gpa considered normal\(=μ±2σ=[4−2(0.2),4+2(0.2)]=[3.6,4.4]\)

GPA representing top 10%:To obtain the GPA that represents the top 10% of all students, we can make use of the z-score and the z-table. Since we want the top 10%, we want to find the z-score that corresponds to 90th percentile. From the z-table, we get a z-score of 1.28.

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Answer: Pythagorean Theorem in 3 D

sqrt ( 3^2 + 4^2 + 2^2) =

sqrt ( 9 + 16 + 4) =

sqrt( 29) = 5.3852 approximately

Step-by-step explanation:

The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.

Answer:

sandwich and drink only (no dessert)

so 4 x 6 = 24

you have 24 different combinations you can do

hope this helps

Step-by-step explanation:

The estimated total time for all five pools is approximately 13.85 hours.

To estimate the time required to install the fifth pool using the learning curve, we can use the formula:

Time for nth unit = Time for first unit * (n^b)

Where:

Time for nth unit is the estimated time to install the nth pool

Time for first unit is the estimated time to build the first pool (30 hours)

n is the number of units (in this case, n = 5 for the fifth pool)

b is the learning curve exponent (85% learning rate corresponds to b = log(0.85) / log(2))

Let's calculate the estimated time for the fifth pool:

b = log(0.85) / log(2) ≈ -0.157

Time for fifth pool = Time for first pool * (5^b)

Time for fifth pool = 30 * (5^(-0.157))

Calculating this, we find:

Time for fifth pool ≈ 30 * 0.6764 ≈ 20.29 hours

Therefore, the estimated time required to install the fifth pool is approximately 20.29 hours.

To calculate the total time for all five pools, we need to sum the time required for each pool from the first to the fifth. Since the learning curve assumes decreasing time with increasing units, we can use a summation formula:

Total time for all units = Time for first unit * ((1 - (n^b)) / (1 - b))

Using this formula, let's calculate the total time for all five pools:

Total time for all five pools = Time for first pool * ((1 - (5^b)) / (1 - b))

Total time for all five pools = 30 * ((1 - (5^(-0.157))) / (1 - (-0.157)))

Calculating this, we find:

Total time for all five pools ≈ 30 * 0.4615 ≈ 13.85 hours

Therefore, the estimated total time for all five pools is approximately 13.85 hours.

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A bar graph is a horizontal or vertical representation of the frequency or relative frequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency. The correct option is B

A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency t of each rectangle represents the category's frequency or relative frequency. The correct option is C.

A bar chart, also known as a bar graph, is a type of chart or graph that displays categorical data using rectangular bars with heights or lengths proportional to the values they represent. The bars can be plotted horizontally or vertically. A vertical bar chart is also known as a column chart.

A Pareto chart is a bar graph with bars drawn in decreasing order of frequency or relative frequency. Each rectangle represents the frequency or relative frequency of the category.

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Answer:

1.06666666667. this could be wrong as I got this of Google. or 1.06 . btw idk how to explain it

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

x=7

Step-by-step explanation:

2x-0.4=1+1.8x

Subtract 1.8x from both sides

0.2x-0.4=1

Add 0.4 to both sides of the equation

0.2x=1.4

Divide both sides by 0.2

x=7

Answer:

Step-by-step explanation:

See image

Answer:  464 square inches is the area of the larger rectangle.

Step-by-step explanation:  Assuming that the shaded area is the part of the large rectangle outside the small rectangle, you can set up dimensions from the information given.

The small rectangle's Area = w (2w -1) which is 2w² -w

The large rectangle's Area = (w + 2)(2w + 1) which is 2w² + 5w +2

Now figure out the equation for the "shaded area" (probably outside the small rectangle)  2w² + 5w +2 -(2w² -w) = 86  (The 2w² terms cancel)

6w + 2 = 86,  so 6w = 84, w=14  

Substitute 14 for w in the dimensions of the large rectangle: (w + 2)(2w + 1)

(14+2)(2[14] + 1) = Area

16 × 29 = 464

(I think I deserve Brainliest for figuring this out, but I see the question has been red-flagged, so We'll see!)

Answer:

84 tons

Step-by-step explanation:

Let's assume that Train B weighs x tons.

According to the problem, Train A is heavier than Train B, so we can express the weight of Train A in terms of x + 324.

We know that the total weight of both trains is 492 tons, so we can set up an equation:

x + (x + 324) = 492

Simplifying this equation:

2x + 324 = 492

2x = 168

x = 84

So Train B weighs 84 tons.

We can now find the weight of Train A by adding the difference between their weights (324 tons) to the weight of Train B:

Train A = Train B + 324 = 84 + 324 = 408

Therefore, Train A weighs 408 tons and Train B weighs 84 tons.

Answer:

Train A =408

Train B = 84

Step-by-step explanation:

This is a math problem that can be solved by using a system of equations. Let x be the weight of Train A and y be the weight of Train B. Then we have:

x + y = 492 x - y = 324

Adding these two equations, we get:

2x = 816 x = 408

Substituting x into the first equation, we get:

408 + y = 492 y = 84

Therefore, Train A weighs 408 tons and Train B weighs 84 tons.

HOPE THAT HELPS! :D

Answer:21

Step-by-step explanation:just cuz trust me broski its right

Answer:

49.5

Step-by-step explanation:

99/2=49.5

Answer:

The equation 7z(x^2 + y^2) = 0 defines a surface in 3-dimensional space.

To understand the surface, it helps to first consider the equation x^2 + y^2 = 0, which is the equation of a single point at the origin (0, 0, 0) in 3-dimensional space.

Multiplying this equation by any non-zero number, such as 7z, still gives the same point. Therefore, the equation 7z(x^2 + y^2) = 0 also defines a single point at the origin.

In other words, the surface defined by this equation is a single point in 3-dimensional space, namely the origin.

The surface defined by the equation 7z = x^2 + y^2 is a paraboloid. To visualize this surface, imagine a parabola with its vertex at the origin and opening upward along the z-axis. As this parabola is rotated about the z-axis, it generates the paraboloid surface.

A paraboloid is a three-dimensional surface that is generated by rotating a parabola about its axis of symmetry. In this case, the equation is in the form z = (x^2 + y^2)/7, which is a standard form of a paraboloid with the vertex at the origin (0,0,0) and the axis of symmetry along the z-axis.

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Answer:

i didnt get you questionnnnn?????

Answer:

I can't understand yourquestion your questions