a box contains 9 tickets numbered from 1 to 9 inclusive. if 3 tickets are drawn from the box one at a time, find the probability that they are alternately either (1) odd, even, odd or (2) {even, odd, even.} is
A. 5/16
B. 5/17
C. 5/18
D. 4/17

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

94.85 rounded to the nearest tenth is 94.9

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

Answer:

22/100 which reduces to 11/50

Step-by-step explanation:

78/100 correct

100/100 - 78/100 = 22/100 or 11/50

Answer:

11x4=44

Step-by-step explanation:

Cus 11/25, change the 25 to 100 by multiplying by 4 so you also have to multiply 11 by 4 too and yeah...answer

Answer:44

Step-by-step explanation: You want to multiply your denominator by a certain number that will turn it into 100. In this case 25 time 4 is 100. so now that you've multiplied your denominator you also need to multiply your numerator by 4. So the next step would be 11 times 4, which is 44.

Answer:

Candice

Step-by-step explanation:

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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The correct answer is (a). P′(2005) represents the growth rate (in people per year) of the population in 2005.

This is because P′(t) is the derivative of P(t), which measures the rate of change of P(t) concerning t.

In other words, P′(t) tells us how fast the population is changing at a given year t.

The units of P′(t) are the same as the units of P(t) divided by the units of t, which are millions of people per year.

Therefore, P′(2005) gives the number of millions of people by which the population changed in 2005. To find the actual number of people, we would have to multiply P′(2005) by one million.

The derivative can help us analyze the behavior of the population function, such as it's increasing or decreasing intervals, its maximum or minimum values, and its concavity or inflection points. The derivative can also help us model and predict the future trends of the population based on the current data and assumptions.

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Answer:

x = 10

Step-by-step explanation:

22 - 2x + 4(x - 2) = 34

22 - 2x + 4x - 8 = 34

22 - 8 - 2x + 4x = 34

14 + 2x = 34

-14           -14

--------------------------------

2x = 20

/2     /2

--------------------------------

x = 10

Answer:

Your answer is x=10

Step-by-step explanation:

22 - 2x + 4(x - 2) = 34 = You have to do 4 times whats in the ( )

22 - 2x + 4x - 8 = 34

14 + 2x = 34 = You subtract 14 from both sides

2x=20 = then you divide 2 into 20

And your answer is X=10

Answer: 12 seconds

Step-by-step explanation:

Step 1: Find the unit rate

1÷0.5=2

1 picture takes 2 seconds

Step 2: Find amount of time taken to snap 6 pictures

2*6= 12

Answer:

(i) False. Let A = 30° and B = 60°, then sin (A + B) = sin (30° + 60°) = sin 90° = 1 and, sin A + sin B = sin 30° + sin 60° = 1/2 + √3/2 = 1+√3/2(ii) True. sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 sin 60° = √3/2 sin  90° = 1 Thus the value of sin θ increases as θ increases.(iii) False. cos 0° = 1 cos 30° = √3/2 cos 45° = 1/√2 cos 60° = 1/2 cos 90° = 0 Thus the value of cos θ decreases as θ increases.(iv) True. cot A = cos A/sin A cot 0° = cos 0°/sin 0° = 1/0 = undefined.

Step-by-step explanation:

Answer:

yes cause they are the same #s

Step-by-step explanation:

Step-by-step explanation:

I think yes I am not sure

sorry I took your points

The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32

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

The chess board

From the chess board, we have

Black squares = 32

White squares = 32

When factorized, we have

Black squares = 32 = 8 * 2²

White squared = 32 = 8 * 2²

Hence, the equation that represents the squares on the chess board is 8 * 2² = 32

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A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.

These are the specified parameters:

English = 26

Science = 24

Music = 25

English but not science = 17

Science and music = 11

English and music = 14

Took all theree = 4

Lots of students took English and science

Look at the venn diagram in the attachment.

26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135

x + 92 = 135

x = 135 - 92

x = 43

Lots of students took English and science, but not music

= x - 4

= 43 - 4

= 39

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Answer:

its yes

Step-by-step explanation:

because it's x 2  I hope this helps      

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Answer:

\(60x^8\\\)

Step-by-step explanation:

Lets simplify the square roots:

\(\sqrt{5x^4} = \sqrt5 * \sqrt{x^4} = \sqrt5 * x^2\)

\(\sqrt{5x^8} = \sqrt5 * \sqrt{x^8} = \sqrt5 * x^4\)

Lets multiply:

\(4x^2\sqrt5x^2 * 3\sqrt5x^4 = \\\\\)            Combine like terms

\(12x^4\sqrt5 * \sqrt5x^4 =\)                Combine like terms, simplify

\(12x^8*5 =\)                           Simplify

\(60x^8\)

-Chetan K

Given: The equation below

To Determine: The slope of the line that is parallel to the graph of the given equation

Solution

Please note that two lines are parallel if their slopes are equal. Therefore, a line that is parallel to the given equation would have the same slope to the given

The slope can calculated as shown below

Hence, the slope of a line parallel to the graph of 5x + 4y = 6 is - 5/4

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

x=9

Step-by-step explanation:

We cross multiply to get 4x=36. Divide both sides by 4 to get x = 9.

Hope it helped :)

Answer:

\( \boxed {\sf \: x = 9}\)

Let's Solve

Hope It's Helps``

Answer:

4,4

Step-by-step explanation:

Bottom number = 8.

4+4=8

Top number = 16.

4*4=16

Hence, 4,4 in the answer. Both sides are 4.

we get that the radius is 4 and the angle is 135° which is radians 3/4 pi

so the area is

There are 4 suits: hearts, diamonds, club, a spade. Each of them has 13 cards.

The probability of picking the first card from the deck of cards can be calculated using the formula:

Hence:

The probability of picking the second card from the same suite is:

The probability of drawing two cards of the same suite is:

But there are four suites. Hence, the actual probability is:

The probability of drawing two cards of the same suite in a row is 624/2652

Answer:

Simplifying

-9 + 4 = 40

Combine like terms: -9 + 4 = -5

-5 = 40

Solving

-5 = 40

Couldn't find a variable to solve for.

This equation is a the left and right sides are not equal, therefore there is no solution.

Hope This Helped

The rate at which the volume of the cube is changing is 1200 in³/seconds.

Volume is the space occupied by a solid object.

To calculate the rate at which the volume of the cube is changing, we use the formula below.

Formula:

Where:

From the question,

Given:

If, the volume of a cube is V = L³,

Then,

Substitute these values into equation 1

Hence, the rate at which the volume is changing is 1200 in³/seconds.
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Answer:

y = 10

Step-by-step explanation:

calculate the slope m of the 2 points using the slope formula and equate to the given slope.

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 6 ) and (x₂, y₂ ) = (10, y )

m = \(\frac{y-6}{10-5}\) = \(\frac{y-6}{5}\)

equate this expression for m to the given m of \(\frac{4}{5}\)

\(\frac{y-6}{5}\) = \(\frac{4}{5}\) ( cross- multiply )

5(y - 6) = 20 ( divide both sides by 5 )

y - 6 = 4 ( add 6 to both sides )

y = 10

Answer:

(-2a+5)^6-5(-2a+5)

Step-by-step explanation:

plug f(a) into g(a) where there is an 'a'

Answer:

x = 3 ± √23

Step-by-step explanation:

Simplify the quadratic equation.

\(3x^2-18x+5 = 473x^2-18x+5-47 = 0\\3x^2-18x-42 = 0\\\\a = 3\\b = -18\\c = -42\\\\x = (-(-18)\pm\sqrt{ (-18)^2-4(3)(-42) )} \div 2(3)\\x = (18\pm\sqrt{ 324+504)} \div 6\\x = (18\pm\sqrt{ 828}) \div 6\)

Simplify further.

\(x = (18\pm\sqrt{ 23\times 36}) \div 6\\x = (18\pm6\sqrt{ 23}) \div 6\\x = 6(3\pm\sqrt{23}) \div 6\)

Thus, the solution is

x = 3 ± √23

Hope this helps.

x = 3 + √23 and x = 3 - √23 are the two solutions of the given quadratic equation.

ax²+bx+c=0, with a not equals to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

To solve for x in the equation 3x^2 - 18x + 5 = 47, we can begin by simplifying the equation:

\(3x^2 - 18x - 42 = 0\)

Next, we can divide both sides of the equation by 3 to get:

\(x^2 - 6x - 14 = 0\)

To solve for x, we can use the quadratic formula:

\(x =\frac{ (-b \pm \sqrt{(b^2 - 4ac))} }{ 2a}\)

In this case, a = 1, b = -6, and c = -14, so we have:

\(x = \frac{(-(-6) \pm \sqrt{((-6)^2 - 4(1)(-14)))}}{2(1)} \\x = \frac{(6 \pm \sqrt{(36 + 56))}}{ 2} \\x = (6 \pm \sqrt{92}) / 2\)

Simplifying the radical, we get:

x = (6 ± 2√23) / 2

Dividing both the numerator and denominator by 2, we get:

x = 3 ± √23

Therefore, the two solutions to the equation \(3x^2 - 18x + 5 = 47\) are x = 3 + √23 and x = 3 - √23.

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Answer:(a)

One step forward from the given statement could be to simplify it to just "p V q".

(b)

One step backward from the goal statement "p V q" could be to add the assumption that "(~p V q) => p V q" to get "(~p V q) => (p V q)".

(c)

Proof sequence:

Given: (~p V q) => p V q

To prove: p V q

Assume ~p V q is true (as the antecedent of the implication)

Since ~p V q is true, either ~p is true or q is true.

If ~p is true, then p is false, but the disjunction p V q is true.

If q is true, then the disjunction p V q is true.

In either case, p V q is true.

Therefore, p V q is true under the assumption that ~p V q is true.

Since the assumption was arbitrary, we conclude that p V q is true regardless of the truth value of ~p V q.

(d)

The proof is not reversible because the contrapositive of the statement "p V q => (~p V q)" is not logically equivalent to the original statement "~p V q => p V q".

Step-by-step explanation:

(a)

One step forward from the given statement could be to simplify it to just "p V q".

(b)

One step backward from the goal statement "p V q" could be to add the assumption that "(~p V q) => p V q" to get "(~p V q) => (p V q)".

(c)

Proof sequence:

Given: (~p V q) => p V q

To prove: p V q

Assume ~p V q is true (as the antecedent of the implication)

Since ~p V q is true, either ~p is true or q is true.

If ~p is true, then p is false, but the disjunction p V q is true.

If q is true, then the disjunction p V q is true.

In either case, p V q is true.

Therefore, p V q is true under the assumption that ~p V q is true.

Since the assumption was arbitrary, we conclude that p V q is true regardless of the truth value of ~p V q.

(d)

The proof is not reversible because the contrapositive of the statement "p V q => (~p V q)" is not logically equivalent to the original statement "~p V q => p V q".