If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is ______ probability.

The probability of choosing 2 even numbers is 1/6

The probability of choosing 2 odd numbers less than 6 is 1/12

The probability of choosing 2 numbers greater than 6 is 1/36

We have,

The probability that both numbers are even numbers if the same numbers cannot be chosen twice:

There are 4 even numbers (2, 4, 6, 8) and 9 total numbers.

The first number can be any of the 9 numbers, but once it is chosen, only 4 even numbers remain for the second number.

So,

The probability of choosing 2 even numbers.

P(even, even) = (4/9) x (3/8) = 1/6

The probability that both numbers are less than 7 if the same number can be chosen twice:

There are 6 numbers less than 7 (1, 2, 3, 4, 5, 6) and 9 total numbers.

Each number can be chosen twice, so there are 99 = 81 possible pairs of numbers.

The number of pairs of numbers less than 7 is 66 = 36.

The probability of choosing 2 numbers less than 7.

P(<7, <7) = 36/81 = 4/9

The probability that both numbers are odd numbers is less than 6 if the same numbers cannot be chosen twice:

There are 3 odd numbers less than 6 (1, 3, 5) and 9 total numbers.

The first number can be any of the 9 numbers, but once it is chosen, only 3 odd numbers less than 6 remain for the second number.

The probability of choosing 2 odd numbers less than 6.

P(odd, odd) = (3/9) x (2/8) = 1/12

The probability that both numbers are greater than 6 if the same numbers cannot be chosen twice:

There are only 2 numbers greater than 6 (7, 8) and 9 total numbers.

The first number can be any of the 9 numbers, but once it is chosen, only 2 numbers greater than 6 remain for the second number.

The probability of choosing 2 numbers greater than 6.

P(>6, >6) = (2/9) x (1/8) = 1/36

Thus,

The probability of choosing 2 even numbers is 1/6

The probability of choosing 2 odd numbers less than 6 is 1/12

The probability of choosing 2 numbers greater than 6 is 1/36

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All the shaded regions of the overlap inequalities represents the located solution region of the system of linear inequalities , the overlap region is called intersection ( option C ).

Graph is attached.

Therefore, the solution region is represented by the shaded region called  (option C) intersection area of the system of linear inequalities.

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Answer: 20

Step-by-step explanation:

1) The probability of flipping a fair coin four times and getting heads on the fourth flip is 1/16.

2) The probability of flipping it no more than four times is 15/16.

The probability of flipping a fair coin and getting heads on any given flip is 1/2, and the outcomes of the flips are independent of each other.

1) The probability of flipping a fair coin four times and getting heads on the fourth flip is:

P(HHHH) = 1/2 × 1/2 × 1/2 × 1/2 = 1/16

2) The probability of flipping a fair coin and getting heads on the first, second, third, or fourth flip is:

P(H) = 1/2

P(TH) = 1/2 × 1/2 = 1/4

P(TTH) = 1/2 × 1/2 × 1/2 = 1/8

P(TTTH) = 1/2 × 1/2 × 1/2 × 1/2 = 1/16

So, the probability of flipping a fair coin no more than four times and getting heads is:

P(H or TH or TTH or TTTH) = P(H) + P(TH) + P(TTH) + P(TTTH) = 1/2 + 1/4 + 1/8 + 1/16 = 15/16

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Answer:

3

Step-by-step explanation:

The highest degree amount or exponet amount is the power of a equation.

3 is the highest exponet so it is 3.

Mixed methods research tends to be more complex when compared to quantitative and qualitative research respectively. This is because mixed methods research combines both quantitative and qualitative research methods in a single study.

Quantitative research involves the collection and analysis of numerical data, while qualitative research involves the collection and analysis of non-numerical data, such as words, images, and sounds.

Mixed methods research, on the other hand, involves the collection and analysis of both types of data. This requires the researcher to have a deeper understanding of both quantitative and qualitative research methods, as well as the ability to integrate the two types of data in a meaningful way.

Furthermore, mixed methods research often involves the use of multiple data sources, multiple research methods, and multiple levels of analysis. This adds an additional layer of complexity to the research process.

As a result, mixed methods research tends to be more complex than either quantitative or qualitative research alone.

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Answer:

cause imm in the stars tonight

Step-by-step explanation:

cause I I I'm in the Stars tonight

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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The slope of the line that passes through the points (2,8) and (12, 20) is 6/5.

given :

points  (2,8) and (12, 20)

slope = m=(y2-y1)/(x2-x1).

= 20-8 / 12-2

= 12/10 =6/5

the slope of the line that passes through the points (2,8) and (12, 20) is 6/5.

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Answer:

6/5

Step-by-step explanation:

Answer:(-6,30)

Step-by-step explanation:

x=-6

y=30

Answer: (-6,30)

Step-by-step explanation:

-5x=-x+24

+x=+x

-4x=24

÷-4=÷-4

X=-6

Y=-5x

Y=-5(-6)

Y=30

(-6,30)

Answer:

for question 5

(1) 9x > 3x + 6

6x > 6

x=1

(2) $100-$10=$90

$90/5=18

Joan would need to work 18 hours

for question 6

P+ (PRT)/100

475 + 475(8.5)(12)/100

475+484.5

= 959.5

I hope this helped you ;)

Answer:

Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one

Step-by-step explanation:

Sorry ignore this

Answer:

Boys : Girls = 5 : 7

Jeff should find the number of girls at first.

Step-by-step explanation:

Boys - 10

Girls - 24 - 10 = 14

Boys : Girls = 10 : 14

Boys : Girls = 5 : 7

Jeff did not find the number of girls, he took the number of all students instead.

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

To teach third-grade students about fractions like\(\frac{1}{4} ,\frac{1}{3} , \frac{2}{3} ,\frac{3}{4}\) and whole using concrete objects and best practices, the teacher could use common classroom tools such as: Fraction circles or bars,Paper strips or folding, Cuisenaire rods, Playdough or clay and LEGO bricks

1. Fraction circles or bars: These manipulatives visually represent fractions and can be easily assembled or taken apart to show different fractional parts.
2. Paper strips or folding: Have students fold paper strips into equal parts to represent the different fractions.
3. Cuisenaire rods: These are colored rods that vary in length, and can be used to teach fractions by comparing their lengths.
4. Playdough or clay: Students can create balls of playdough or clay and divide them into equal parts to represent fractions.
5. LEGO bricks: Use LEGO bricks with a consistent size to represent whole units and have students build models with different fractional parts.
6. Pizzas or pies: Draw or use images of pizzas or pies divided into equal parts, or even use real food for a fun, hands-on approach.

Incorporating these common tools in the classroom will help demonstrate fractions effectively and enhance students' understanding of mathematical concepts.

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a. The appropriate amount of safety stock is 92 kg. b. The item should be reordered when the inventory level reaches approximately 692 kg.

To determine the amount of safety stock and the reorder point (ROP), we need to consider the expected demand during the lead time, the standard deviation of demand during the lead time, and the acceptable stockout risk.

a. Amount of safety stock:

Safety stock is the additional inventory kept to mitigate the risk of stockouts. It acts as a buffer to account for unexpected fluctuations in demand. The formula to calculate safety stock is:

Safety stock = (Z * Standard deviation of demand during lead time)

Where Z is the z-score corresponding to the acceptable stockout risk. Since the acceptable stockout risk is 5 percent, we need to find the corresponding z-score.

Looking up the z-values table for a 5 percent risk (two-tailed test), the z-score is approximately 1.645.

Substituting the values into the formula:

Safety stock = (1.645 * 56)

≈ 92.12 kg

b. Reorder point (ROP):

The reorder point is the level of inventory at which an item should be reordered to ensure that it arrives before the stock runs out during the lead time. It can be calculated using the formula:

ROP = Expected demand during lead time + Safety stock

Substituting the given values:

ROP = 600 + 92

≈ 692 kg

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The values found in both parts (b) are the same because they represent the height of the object after 4 seconds. Regardless of how the height is calculated, the result will be the same.

(a) Factored expression for the function h(t) by factoring -16t2+48t.-16t²+48t=-16t(t-3)= -16t * (t-3)

The factored expression for the function h(t) is -16t(t-3).

(b) Find h(4) by using h(t)=-16t²+48t and then by using the factored form of h(t). Using h(t)=-16t²+48t:h(t)=-16t²+48t

Putting t = 4,h(4)=-16(4)²+48(4)=-256+192=-64.

Use the factored form of h(t) and h(t)=-16t2+48t to find h(4).

With the formula h(t)=-16t2+48t:h(t)=-16t2+48tUsing the formula

t = 4,h(4)=-16(4)2+48(4)=-256+192=-64Using h(t)=-16t(t-3)

as the factored form when t = 4,h(4)=-16(4)(4-3)=-64

(c) Why are the values in section (b) identical .

Using the factored form of h(t):h(t)=-16t(t-3)

Putting t = 4,h(4)=-16(4)(4-3)=-64

(c) Why are the values found in part (b) the same.

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4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

Four friends go out to eat and their meal cost $86. 50. The sales tax 6. 75% and they should tip the waiter 20%.each person must pay $27.7 for their meal

Four friends go out to eat and $86.50 for their meals.

The sales tax is 6.75%, and the waiter is tipped 20%.

M = 86.5 * 10675 / 10000 = 92.34

92.34$, and the total amount of money that four friends will give, including waiter tip, is

T=92.35 * 120 / 100 = 110.80

and each person must give

110.8/4= $27.7

each person must pay $27.7

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The probability that a 34 square foot metal sheet has at least 9 defects is 0.4308, rounded to four decimals.

Given that the sheet metal has an average of 7 defects per 20 square feet, we can find the rate parameter (λ) of the Poisson distribution as follows:

λ = (7 defects / 20 sq ft) = 0.35 defects per square foot

Let X be the number of defects in a 34 square foot metal sheet. Since X follows a Poisson distribution with rate parameter λ, we can find the probability that X is at least 9 defects using the cumulative distribution function (CDF) of the Poisson distribution:

P(X ≥ 9) = 1 - P(X < 9) = 1 - F(8)

where F(k) is the CDF of the Poisson distribution with rate parameter λ evaluated at k.

Using the Poisson distribution formula for F(k), we have:

F(k) = P(X ≤ k) = ∑(i=0 to k) [(λ^i * e^(-λ)) / i!]

Using a calculator or software, we can find that:

F(8) = P(X ≤ 8) = 0.5692

Therefore, we have:

P(X ≥ 9) = 1 - F(8) = 1 - 0.5692 = 0.4308

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Answer:

\(\displaystyle d = \sqrt{29}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Answer:

you would way nothing

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

2ab - 4b

Taking 2b as common

2b( a - 2)

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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