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A probability distribution is a listing of all possible outcomes along with their likelihood of occurrence.

It is a way of describing the likelihood of different outcomes in a statistical experiment or random event. It is used to calculate the probability of different events or outcomes in situations where there is uncertainty or variability. There are two types of probability distributions: discrete and continuous.

Discrete probability distributions are used when the possible outcomes of a statistical experiment are discrete or countable, such as the number of heads obtained in flipping a coin. Continuous probability distributions are used when the possible outcomes of a statistical experiment are continuous or uncountable, such as the height of people in a population.

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Answer:

your answer is correct

The correct statements for comparing the effectiveness of the SAT preparation program are the 3rd, 4th, 5th, 6th statements.

The statements in order are

Since, school counselor want to compare effectiveness of SAT preparation program with response variable will be the improvement in SAT score.

We can consider this as a improvement assessment, so that the initial abilities of each student will be different. With this we can see the improvement from student with bad initial score, and for the student that has a good score in initial exam they barely to have improvement.

For example student A have initial score 600 and student B have initial score 1300 after preparation program student A have final score 1200 and student B have final score 1350. In the example, we can see 200% improvement from student A and only 4% improvement from student B.

Also, with matching pair design that based on variable, we can see the variability in improvement making it easier to know the effectiveness of SAT preparation program than the randomized design.

Thus, the correct statements is the 3rd, 4th, 5th, 6th statements.

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Answer:

angle 8 and angle 5

Step-by-step explanation:

Answer: 218.65 US$

Step-by-step explanation: $187.56+$49.73= $237.29
237.29 US$- $18.64

Answer:

$218.65

Step-by-step explanation:

She starts with a balance of $187.56. When she deposits money she is adding to the account.

$187.56 + $49.73 = $237.29

When she spends money money is being subtracted from her account.

$237.29 - $18.64 = $218.65

Answer:

y=x-2

Step-by-step explanation:

if x: 5, x-2=3

y=x-2

therefore:

y=3

x=5

Points a,b and c satisfied the Pythagoras theorem. Thus, the triangle abc is a right angled triangle.

Every triangle has inner angles that add up to 180 degrees. A right angle and a right triangle are both formed when one of their internal angles is 90 degrees.

Given coordinates :

a(5,2) , b(2,-3) and c(-8,3).

Find the distance between the points using the distance formula:

d = √[(x2 - x1)² + (y2 - y1)²]

ab = √[(2 - 5)² + (- 3 - 2)²]

ab = √[(-3)² + (- 5)²]

ab = √[9 + 25]

ab = √34

ab² = 34

bc = √[(2 + 8)² + (- 3 - 3)²]

bc  = √[(10)² + (- 6)²]

bc  = √[100 + 36]

bc  = √136

bc²  = 136

ac = √[(-8 - 5)² + (3 - 2)²]

ac = √[(-13)² + (1)²]

ac = √[169 + 1]

ac = √170

ac² = 170

Now,

(ac)² = (bc)² + (ab)²

170 = 136 + 24

170 = 170

This, points a,b and c satisfied the Pythagoras theorem. Thus, the triangle abc is a right angled triangle.

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To find pry >78 in a random sample of size n = 77, we would need more information such as the mean and standard deviation of the sample.

Based on the given information, we need to find the probability that a random variable Y is greater than 78 (pr(Y > 78)) in a sample of size           n = 77.

To provide a precise answer, additional details about the distribution of the data (mean and standard deviation) are needed. However, once you have these values, you can use the Z-score formula to calculate the probability.

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The length of the segment A'A is 18 units

The length of the segment B'B is 8 units

From the question, we have the following parameters that can be used in our computation:

The similar triangle

Using the ratio of corresponding sides, we have

(AA' + 12)/20 = 12/8

So, we have

AA' + 12 = 20 * 12/8

AA' + 12 = 30

Evaluate

AA' = 18

Here, we have

(BB' + 6)/20 = 6/8

So, we have

BB' + 6 = 20 * 6/8

BB' + 6 = 15

Evaluate

BB' = 8

Hence, the length is 8 units

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Answer:

y = -2x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): -2

Point: (-1, 8)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we already know the slope is -2, we can move on to finding the y-intercept. To find the y-intercept, input the values of the slope and the point into the equation format and solve for b:

y = mx + b

8 = -2(-1) + b

8 = 2 + b

6 = b

The y-intercept is 6.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x + 6

The missing side length BE can be found by using the proportion of corresponding side lengths in similar triangles. We can set up the proportion AB/AD = BE/DF and solve for BE.

To find the missing side length in similar triangles, we can use the fact that corresponding side lengths are proportional. In other words, if two triangles are similar, then the ratio of any corresponding side lengths will be the same.

This allows us to set up a proportion with the known side lengths and the missing side length, and solve for the missing side.

For example, in the given problem, we have two similar triangles ABC and ADEF, with corresponding side lengths AB and AD, BC and DE, and AC and DF. We are given the values of AB, BC, AD, and DF, but we need to find the value of BE. We can set up the proportion AB/AD = BE/DF, which tells us that the ratio of AB to AD is equal to the ratio of BE to DF. We can then cross-multiply to get AB x DF = BE x AD, and solve for BE by dividing both sides by AD.

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The walking speed x = (L/t) - (3/65) L + (2/50) L .We can solve this problem using the concept of average speed and the time and distance relationship.

Let's assume the length of the moving sidewalk be L and the speed of the moving sidewalk be v.

When the moving sidewalk is working, the person's speed is v + w, where w is the walking speed.

And, the time taken to travel the distance L is 65s.

So, using the average speed formula, we have:

(v + w) = L/65

And, when the moving sidewalk is not working, the person's speed is w.

And, the time taken to travel the distance L is 50s.

So, using the average speed formula, we have:

w = L/50

Now, we can equate the above two equations to find the walking speed w.

v + w = L/65

w = L/50

Subtracting the second equation from the first equation, we get:

v = (L/65) - (L/50)

Since, L is common in both the numerators, we can simplify the above expression as:

v = (3/65 - 2/50) L

Thus, the speed of the moving sidewalk is (3/65 - 2/50) L.

Let's assume the walking speed be x.

So, the average speed of the person is (v + x) = (3/65 - 2/50) L + x.

And, the time taken to travel the distance L is t.

Using the average speed formula, we have:

(v + x) = L/t

Substituting the value of v, we get:

((3/65 - 2/50) L + x) = L/t

Simplifying the above equation, we get:

x = (L/t) - (3/65 - 2/50) L

Now, substituting the values of L/50 and L/65, we get:

x = (L/t) - (3/65 - 2/50) L

x = (L/t) - (3/65) L + (2/50) L

So, the walking speed x = (L/t) - (3/65) L + (2/50) L.

Therefore, the walking speed can be calculated using the above expression.

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The complete question is :

When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 50 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 65 s to travel the same distance.

How long will it take you to travel from the gate to baggage claim if you walk while riding on the moving sidewalk?

Express your answer using two significant figures.

the cost of the bike before tax

514.1/106%=$485

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

D.4x + 6y - 14

This is the answer

The weight of the three brothers, Xavier, Yosef and Zeke are 35 lbs, 65 lbs and 100 lbs respectively.

Given:

Total weight = 200 pounds

Xavier weight = x

Yosef weight = y

Zeke weight = z

Xavier and Yosef together are equal to Zeke.

x + y = z (1)

Yosef is 5 less than twice Xavier

y = 2x - 5 (2)

substitute y = 2x - 5 into (1)

x + y = z (1)

x + (2x - 5) = z

x + 2x - 5 = z

3x - 5 = z

Recall

x + y + z = 200

x + (2x - 5) + (3x - 5) = 200

x + 2x - 5 + 3x - 5 = 200

6x - 10 = 200

6x = 200 + 10

6x = 210

x = 210/6

x = 35 lbs

Therefore,

y = 2x - 5

= 2(35) - 5

= 70 - 5

y = 65 lbs

and

3x - 5 = z

3(35) - 5 = z

105 - 5 = z

100 lbs = z

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Answer:

Disagree

Step-by-step explanation:

The decimal expansion may have a longer period than the division he carried out.

The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

Answer:

Step-by-step explanation:

72 = 72×1

144 = 72×2

288 = 144×2 = 72×4

So each of 72 plates would have one cupcake, two apples and four chocolate bars.

{72 is the highest common factor for numbers 72, 144 snd 288}

There are two distinct congruence classes modulo x^3 + x + 1 in Z_2[x]. The congruence classes are [0] and [1].

To determine the distinct congruence classes modulo x^3 + x + 1 in Z_2[x], we consider polynomials in Z_2[x] and examine their remainders when divided by x^3 + x + 1.

In Z_2[x], the coefficients of polynomials are either 0 or 1, representing the binary field. When we divide polynomials by x^3 + x + 1, the remainder can only have coefficients of 0 or 1.

After performing polynomial division, we find that there are two distinct congruence classes. The congruence class [0] consists of polynomials that are divisible by x^3 + x + 1, resulting in a remainder of 0. The congruence class [1] consists of polynomials with a remainder of 1 when divided by x^3 + x + 1.

These two congruence classes represent the distinct equivalence classes modulo x^3 + x + 1 in Z_2[x].

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tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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Answer:

Step-by-step explanation:

You had the first part of the first question correct. The answer is 100:64

The sides of the squares

Area of e = 69% more than area of area of f

e^2: f^2 = ( 1 + 69/100 ) / 1

e^2 : f^2 = (1.69)/1            Take the square root of both sides

e:f  = 1.3:1

Probability of the intersection of events A and B (p(a ∩ b)) is 0 when events A and B are mutually exclusive.

To find the probability of the intersection of events A and B (p(a ∩ b)) when p(a) = 0.50 and p(b) = 0.30, and events A and B are mutually exclusive, follow these steps:

1. Recognize that mutually exclusive events have no overlap and cannot occur at the same time.
2. Apply the definition of mutually exclusive events: p(a ∩ b) = 0 for mutually exclusive events.

So, the probability of the intersection of events A and B (p(a ∩ b)) is 0 when events A and B are mutually exclusive.

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Answer:

151

Step-by-step explanation:

So you have to start by finding the total number of degrees inside the shape. The shape has 5 sides.

So using this formula:

(n-2) * 180

(5-2) * 180

= 540 degrees inside the shape

Then solve for x.

5x +2 + 10x - 3 + 8x -19 + 13x - 31 + 7x -11 = 540

43x -62 = 540

43x = 602

x = 14

Plug in for S.

13 (14) -31

151

The new coordinates of the point (-7, -6) are (-6, 7).

From the question, we have the following parameters that can be used in our computation:

(x, y) = (-7, -6)

The rule is given as

A rotation of 90° clockwise around the origin.

Mathematically, this can be represented as

(x, y) = (y, -x)

So, we have

Image = (-6, 7)

Hence, the image is (-6, 7)

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Answer:

Switch the x and y values, then graph

Step-by-step explanation:

See attatched

Step-by-step explanation:

The equation of graphed line is y = x - 5 ( slope = 1 and y intercept = -5).

For finding inverse ,

x = y - 5

y = x +5

f-¹(x) = x +5

In the case of Alicia, The single net increase is 5.821% of the original price.

Alicia is buying shoes at a department store that offers a 15% discount on all shoes. Additionally, she has a store card that gives her another 5% discount. However, at checkout, the cashier tells her that there will be two increases, one of 2% for commissions and another of 18% for general sales tax. To determine if there is a net discount or increase, we need to calculate the total discount and total increase separately and compare them.

First, let's calculate the total discount:

Next, let's calculate the total increase:

If the total discount is greater than the total increase, then there is a net discount. If the total increase is greater than the total discount, then there is a net increase.

Therefore, we need to compare:

Simplifying both expressions, we get:

Since 1.0506 x Original Price is greater than 0.20 x Original Price, we can conclude that there is a net increase.

To calculate the amount of the single net increase, we can subtract the discounted price from the increased price:

Simplifying the expression, we get:

Therefore, the single net increase is 5.821% of the original price.

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Complete Question:

Alicia will buy shoes in a department store that advertises a 15% discount on all shoes, plus she has the store card and therefore they will give her another 5% discount. When paying: the cashier tells you that they will make 2 increases, one of 2% for commissions and the other of 18% for general sales tax. Determine if it is the case, how much is the discount or single increase?