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John has a bag of red and blue marbles. John chooses 2 marbles without replacing the first. Let A be the event where the first marble chosen

is red. Let B be the event where the second marble chosen is blue.

Which statement explains what the equation P (BA) = 0.6 means for these events?

A. The probability of choosing a blue marble after any marble has been removed is 0.6.

OB. The probability of choosing a red marble after a blue marble has been removed is 0.6.

O O O

C. The probability of choosing a blue marble after a red marble has been removed is 0.6.

OD. The probability of choosing a blue marble is 0.6, regardless of what else has been chosen.

Answer:

A.

[tex] < 6 = 180 - 72 \\ = 108 \degree[/tex]

E.

[tex] < 5 = 72 \degree \\ (alternate \: angles)[/tex]

Answer:

The correct answers are

E. m< 5= 72

B. <2 = m<7

A. <6 = 108

Step-by-step explanation:

E is correct because B and C are parallel meaning that 5 and 72 are alternate interior angles.

B is correct because they are alternate exterior angles

A is correct because 180 - 72 = 108

Hope this helped

Answer:

12714.595704

Step-by-step explanation:

(2/2 x 23.34)^3

(1 x 23.34)^3

23.34^3

=12714.595704

Answer:

a.

x²+3x-4

doing middle term factorization

x²+(4-1)x-4

x²+4x-x-4

x(x+4)-1(x+4)

( x+4)(x-1)

b.

x²-2x-3

x²-3x-x-3

x(x-3)-1(x-3)

(x-3)(x-1)

c.

x²+2x-8

x²+4x-2x-8

x(x+4)-2(x+4)

(x+4)(x-2)

A is

[tex] | - 9| + |9| [/tex]

absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)

B ist just 18

Answer:

1. Term.

2. Common difference.

3. Arithmetic sequence.

4. Sequence.

Step-by-step explanation:

1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.

2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).

3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.

4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.

Answer:

= -9pq

Step-by-step explanation:

=8pq + (-17pq)

=8pq-17pq

= -9pq

Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

Answer:

m =7.

Step-by-step explanation:

Let the constant number = k.

g(m) = k/m,

3.5 = k/10,

k = 35.

Thus, when g(m) = 5 = 35/m, m = 7.

Answer:

The perimeter of the triangle is 28.82

Step-by-step explanation:

Please check the image uploaded for the diagram.

Perimeter = d₁ + d₂ + d₃

[tex]d_1 = \sqrt{(-10-0)^2 + (-4-3)^2} = \sqrt{100+49} =\sqrt{149} = 12.21\\\\d_2 = \sqrt{(-9-0)^2 + (-7-3)^2} = \sqrt{81+100} =\sqrt{181} = 13.45\\\\d_3 = \sqrt{(-10+9)^2 + (-4+7)^2} = \sqrt{1+9} =\sqrt{10} = 3.16\\\\Perimeter = 12.21 + 13.45 + 3.16 = 28.82[/tex]

Answer: add all the heights and divide by number of children.

Step-by-step explanation: add all heights and divide by number of children

Answer:

18.2cm

thank you

i think

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

Answer: u is the dependent variable

g is the independent variable

Step-by-step explanation:

Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :

An independent variable serves as the  variable that one can manipulate then  control,  an experimental so one can actually record the effects.

Independent variable on the other hand serves as the cause which have an independent values compare to others.

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Answer:

17

Step-by-step explanation:

Answer:

bru

Step-by-step explanation:

Answer:

15 more times per minute

Step-by-step explanation:

Answer: 14.4

Step-by-step explanation:

Answer:

x =  150 ft

y  =   y  =  150 / 17 ft

Step-by-step explanation:

Area of the field is    A  =  x*y

Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing  x into 33 rectangles ( using 34 sides of length  y ) then the quantity of fence is:

p  =  2*x  +  34*y   ⇒   600  =  2*x  +  34*y        y  =  ( 600 - 2*x)/34

A = x*y

A (x)  =  x*  ( 600 - 2*x)/34

A (x)  = ( 600*x  - 2*x²)/34

Taking derivatives on both sides of the equation:

A´(x)  = (1/34)* ( 600 - 4*x )

A´(x)  =  0       (1/34)* ( 600 - 4*x ) = 0      600  -  4*x  = 0

x  =  600/4

x = 150 feet

And  y  =  (1/34)( 600 -  2*150)

y  =  300/34    y  =  150 / 17 ft

y  =  8.82 ft

How do we know that is a maximum area, we find the second derivative of A

A´´(x)   =    - 4/34      then  A´´(x) < 0

We get a maximum of function A for the value  x = 150

Answer:

気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。

Step-by-step explanation:

気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。

y=4x–3

y-y1=m(x-x1)

y+3=4(x-0)

y+3=4x-0

y+3=4x

y=4x-3

Answer:

D

Step-by-step explanation:

have a good day

Answer:

D) 7

Step-by-step explanation:

Since the two angles marked are corresponding, if [tex]p[/tex] and [tex]q[/tex] are parallel, they must be equal.

Therefore, we have:

[tex]14x+18=116,\\14x=98,\\x=\boxed{7}[/tex]

Answer:

Step-by-step explanation:

sorry im not sure

Answer:

21.56 m

Step-by-step explanation:

2(3.28) + 2(7.5)

(twos represent the sides)

6.56 + 15

= 21.56 m

OPTION A is the correct answer

The intersection of event A and B is given by P( A∩B) , Option A is the correct answer.

Probability is the likeliness of an event to happen.

It is given that the Probability of two independent event A and B is given by

P(A)  and P(B)

The intersection of event A and B is given by

P( A∩B)

Therefore Option A is the correct answer.

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Answer:

D. 1/2

Step-by-step explanation:

Step-by-step explanation:

The answer is 1/2. As the slop means gradient. so Gradient = change in Y / change in X .

Answer:

7

Step-by-step explanation:

Given the data :

9,8,7,6,5,4,3,2

Ordering the data from least to highest :

2, 3, 4, 5, 6, 7, 8, 9

The range of a dataset is given by :

Maximum - Minimum

Maximum value = 9

Minimum value = 2

Range of data:

9 - 2 = 7

Range = 7

Answer:

quadratic trinomial ..........................

Answer:

3

Step-by-step explanation:

You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

The distance the plane traveled from point A to point B is 13510 ft

Here we assume the distance between A and B should be x.

Now the y value should be

[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]

y = 8808.84 ft

Now, we can find x

[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

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Answer:

Step-by-step explanation:

Use Desmos, really helpful!

Answer:

Look at the images.