Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be used to determine the probability that if three students are chosen at random from the math class to do a group project, the first student chosen to be in the group is in the fourth period science class but the other two are not?

Answer:

all of it

Step-by-step explanation:

Answer: 1, 2, 3, 4, 5

Step-by-step explanation:

Answer:the answer is a

Step-by-step explanation:

Answer:

Squares have equal sides

Step-by-step explanation:

If LN is 46 then:

OM is also 46

PN is half of that so 23

ON and MN would be 32.53

Answer:  24.75

Step-by-step explanation:

Answer:

x = 9.27 cm

Volume = 289.2 cm³

Step-by-step explanation:

SA = Surface Area

SA = 229.2 cm²

P = Perimeter of Base

P = 3(6)

P = 18 cm

H = Height of Solid

H = x

A = Area of Base(Equilateral Triangle)

A = 6²√3 / 4

A = 36√3 / 4

A = 9√3

A = 9(1.732)

A = 31.176

A = 31.2 cm²

SA = Surface Area

SA = PH + 2A

229.2 = 18x + 2(31.2)

229.2 = 18x + 62.4

229.2 - 62.4 = 18x

166.8 = 18x

9.266 = x

9.27 = x

x = 9.27 cm

V = Volume

V = AH

V = 31.2(9.27)

V = 289.224

V = 289.2 cm³

Answer:

169.56m^3

Step-by-step explanation:

Answer:

0.8906 ( 4 decimal places)

Step-by-step explanation:

With an equal probability of landing in either blue or red, then

Probability of success, p = 0.5

Number of trials, n = 6

Probability of landing on red atleast twice Can be obtained using a cumulative binomial probability ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x ≥ 2) = p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6)

Obtaining the individual probabilities and summing them up or we could use a cumulative probability option on either a calculator, excel or an online binomial probability distribution.

Using an online binomial probability calculator :

P(x ≥ 2) = 0.890625

P(x ≥ 2) = 0.8906 ( 4 decimal places)

Answer:

you added 6

Step-by-step explanation:

how the number order goes.

Answer:

72ft^2 is the answer hope it helps

Answer:

Step-by-step explanation:

Answer:

What do you mean?

Step-by-step explanation:

i guess a skill I want to improve is algebra..?

Answer:

Division ➗

Step-by-step explanation:

it not good at division ➗

Answer:

$20

Step-by-step explanation:

Find the price of the sweater by dividing 1.45 by 0.0725

1.45/0.0725

= 20

So, the sweater was $20

Answer:

I think it's 20 i'm not so sure if you get it wrong than i'm sorry

Answer:

21w

Step-by-step explanation:

Answer:

D. (2,5)

Step-by-step explanation:

Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.

Answer: -16

Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:

-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.

Answer:

421.88 cubic units

Step-by-step explanation:

The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 7.5 units? Round to the nearest hundredth when necessary

V =s³

s = 7.5 units

V = (7.5 units)³

V = 421.875 cubic units

Approximately = 421.88 cubic units

Answer:

b.

Step-by-step explanation:

Each of the provided angles are also a part of linear pairs, so 180-145=35

180-100=80

35+80=115

To solve for the final angle/the one they are wanting

180-115=65

Answer:

12 dollars

Step-by-step explanation:

100%-15%=85%

68÷85%=80

The original price was 80 dollars.

Answer: 8x+12y

Step-by-step explanation:

Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:

The distributive property dictates that a(b+c) = ab+ac.

Thus,

4(2x+3y)

8x+12y

Hope it helps :)

Answer:

8x+12y

Step-by-step explanation:

Multiply both numbers times the number is outside the parenthesis

Answer:

5 kilometers

Step-by-step explanation:

Just use distance formula for each island to his boat

The distance between is the number of units between them, and the distance from Diego's ship to the closest island is 5.4 units

A point coordinate is the location of a point on the coordinate plane

From the question, the coordinate of point X is:

X = (-2, -4)

The closest island to point X is the island B, and the coordinate is:

B = (3, -6)

The distance is then calculated using:

XB =√[(x₁ - x₂)² + (y₁ - y₂)²]

So, we have:

XB =√[(-2 - 3)² + (-4 + 6)²]

Evaluate

XB = 5.4

Hence, the distance from Diego's ship to the closest island is 5.4 units

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Probabilities are used to determine the chances of an event. The true statements from the 5 options are:

Given that:

[tex]Die =\{1,2,3,4,5,6,7,8\}[/tex]

[tex]Number = \{1,2,5,7,8\}[/tex]

The possible outcomes are:[tex]S = \{(1,1),(1,2),(1,5),(1,7),(1,8),(2,1),(2,2),(2,5),(2,7),(2,8),(3,1),(3,2),(3,5),(3,7),(3,8)\\(4,1),(4,2),(4,5),(4,7),(4,8),(5,1),(5,2),(5,5),(5,7),(5,8),(6,1),(6,2),(6,5),(6,7),(6,8),\\(7,1),(7,2),(7,5),(7,7),(7,8),(8,1),(8,2),(8,5),(8,7),(8,8)\}[/tex]

The sum of the outcomes are:

[tex]S = \{2,3,6,8,9,3,4,7,9,10,4,5,8,10,11,5,6,9,11,12,6,7,10,12,\\13,7,8,11,13,14,8,9,12,14,15,9,10,13,15,16\}[/tex]

Rearrange

[tex]S = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,\\12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(S) = 40[/tex]

Next, we test the options

(1) The game is unfair

The question implies that the eight sided die is fair. This means that the game is fair.

Option (1) is false.

(2) Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]

The multiples of 3 in the sample space are:

[tex]3's = \{3,3,6,6,6,9,9,9,9,9,12,12,12,15,15\}[/tex]

[tex]n(3's) =15[/tex]

The probability is then calculated as:

[tex]P(3's) = \frac{n(3's)}{n(S)}[/tex]

[tex]P(3's) = \frac{15}{40}[/tex]

Simplify

[tex]P(3's) = \frac{3}{8}[/tex]

Option (2) is true

(3) Probability of even sum is [tex]\frac{1}{2}[/tex]

The even outcomes are:

[tex]Even =\{2,4,4,6,6,6,8,8,8,8,10,10,10,10,12,12,12,14,14,16\}[/tex]

[tex]n(Even) = 20[/tex]

The probability is then calculated as:

[tex]P(Even)= \frac{n(Even)}{n(S)}[/tex]

[tex]P(Even)= \frac{20}{40}[/tex]

Simplify

[tex]P(Even)= \frac{1}{2}[/tex]

Option (3) is true

(4) Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]

The outcomes of a sum greater than or equal to 12 are:

[tex]Sum \ge 12 = \{12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(Sum \ge 12) = 11[/tex]

The probability is then calculated as:

[tex]P(Sum \ge 12) =\frac{n(P(Sum \ge 12)}{n(S)}[/tex]

[tex]P(Sum \ge 12) =\frac{11}{40}[/tex]

Option (4) is true

(5) Probability of a sum less than 10 is [tex]\frac{21}{40}[/tex]

The outcomes of a sum less than 10 are:

[tex]Sum < 10 = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9\}[/tex]

[tex]n(Sum < 10) = 22[/tex]

The probability is then calculated as:

[tex]P(Sum < 10) =\frac{n(P(Sum < 10)}{n(S)}[/tex]

[tex]P(Sum < 10) =\frac{22}{40}[/tex]

Option (5) is false

Hence, the true statements are: options 2, 3 and 4.

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Answer:

2.) The probability of getting a sum that is a multiple of 3 is 3/8

3.) The probability of getting a sum that is even is 1/2.

4.) The probability of getting a sum that is greater than or equal to 12 is 11/40

Explanation:

Answer:

D.

Step-by-step explanation:

Answer:

153 batches

Step-by-step explanation:

Answer: D, 15.2

Step-by-step explanation:

use formula a^2 + b^2 = c^2

a^2 + 13^2 = 20^2

a^2 + 169 = 400

       - 169   -169

a^2 = 231

sqrt   sqrt

a = sqrt(231)

a = 15.198 = 15.2

Answer:

I dont think so: False

Step-by-step explanation:

If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.

Answer:

its decreasing. .........

The given function of the growth decay is decreasing.

We have given that,

Y=400(.99)^x

Exponential growth is a process that increases quantity over time. decreases over time, and is said to be undergoing exponential decay instead.

Therefore, The given function of the growth decay is decreasing.

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-5x + 42 = -8

-42 -42

-5x = -50

-5 -5

x = 10

Answer:

( x , y ) = ( 2 , 4 )

Step-by-step explanation:

Hope this helps!