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Answer:

Formula

Step-by-step explanation:

Answer:

formula because it gives you the number and tells you what to do.

Answer: 2/13

Step-by-step explanation:

4 aces, 4 nines in a deck of 52 cards

so 8/52 chance of getting one of them reduce to 2/13

Answer:

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

Step-by-step explanation:

Given

The question has missing details, and it is poorly formatted.

See attachment for complete question

From the attachment, we have:

Calculate: [tex]P(Y = 3 | X = 2)[/tex]

This is calculated as:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

From the attached image, we have:

[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3

[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2

This gives:

[tex]P(X = 2) = 0.35[/tex]

So, we have:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

Answer:

540 mins | 9 hours | 540, 9

420 mins | 7 hours | 420, 7

300 mins | 5 hours | 300, 5

180 mins | 3 hours | 180, 3

Step-by-step explanation:

1 hour = 60 mins

To convert hours into minutes, multiply the number of hours by 60 minutes:

9 hours × 60 mins = 540 mins

7 hours × 60 mins = 420 mins

5 hours × 60 mins = 300 mins

3 hours × 60 mins = 180 mins

Answer:

9          540,     540,9

7          420      420,7

5          300      300,5

3           180      180,3

Step-by-step explanation:

There is 60 in one hour

9      *60    540,     540,9

7     *60     420      420,7

5     *60    300      300,5

3      *60    180      180,3

Hope that helps

Answer:

[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]

And that the two angles A and B are both in QI (positive acute angles).

Given this, we want to determine the value of sin(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:

[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]

Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:

[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]

In conclusion:

With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.

With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.

We can rewrite our original expression as:

[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]

And since A and B are both in QI, all trigonometric ratios will be positive.

Using the above conclusions, substitute:

[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm

Answer:

20 minutes

Step-by-step explanation:

15 minutes past 10 is 10:15

25 minutes to 11 am is 10:35

(60-25=35)

35-15=20

Answer:

85 students

Step-by-step explanation:

Given

[tex]7th : 8th =2 : 3[/tex]

[tex]8th = 51[/tex]

Required

Find the total number of students

We have:

[tex]7th : 8th =2 : 3[/tex]

Substitute: [tex]8th = 51[/tex]

[tex]7th: 51 = 2 : 3[/tex]

Express as fraction

[tex]\frac{7th}{51} = \frac{2 }{ 3}[/tex]

Multiply both sides by 51

[tex]51 * \frac{7th}{51} = \frac{2 }{ 3} * 51[/tex]

[tex]7th= \frac{2 }{ 3} * 51[/tex]

[tex]7th= 2 *17[/tex]

[tex]7th= 34[/tex]

So, the total is:

[tex]Total = 7th + 8th[/tex]

[tex]Total = 34 + 51[/tex]

[tex]Total = 85[/tex]

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Just had to simplify the expression.

Answer:

depth

Step-by-step explanation:

far is a describing distance

deep is describing depth

Answer:

x=[tex]1.22930[/tex]

Step-by-step explanation:

47(218 x+12 ) =−2(17 −528 x)

Simplify 47(218 x+12 ) :    327(21x+4) 327(21x+4) =−2(17 −528 x)

Multiply both sides by 7(21x+4)

327(21x+4) · 7(21x+4)=−2(17 −528 x)· 7(21x+4)

Simplify, 32=−14(17 −528 x)(21x+4)

Solve  32=−14(17 −528 x)(21x+4):    x=32+4√589105 , x=32−4√589105 x=32+4√589105 , x=32−4√589105

Answer:

x = 0.5

Step-by-step explanation:

[tex]\frac{4}{7}(\frac{21}{8}x + \frac{1}{2}) = -2(\frac{1}{7} - \frac{5}{28}x)[/tex]

[tex]1\frac{1}{2}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x[/tex]

[tex]1\frac{1}{2}x - \frac{5}{14}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x - \frac{5}{14}x[/tex]

[tex]1\frac{1}{7}x + \frac{2}{7} = - \frac{2}{7}[/tex]

[tex]1\frac{1}{7}x + \frac{2}{7} - \frac{2}{7} = - \frac{2}{7} - \frac{2}{7}[/tex]

[tex]1\frac{1}{7}x = - \frac{4}{7}[/tex]

[tex]\frac{1\frac{1}{7}x}{1\frac{1}{7} } = \frac{- \frac{4}{7}}{1\frac{1}{7} }[/tex]

[tex]x = -\frac{1}{2}[/tex]

Answer:

e. 55 miles hope that helped

Answer:

49.568

Step-by-step explanation:

Answer:

2/3 of paint I believe because of the amount shown

Answer:

Step-by-step explanation:

The inequality Equation =

42 + 5x < 60

To stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Step-by-step explanation:

Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Let the number of gigabytes = x

Under $60 means less than $60

The inequality =

$42 + $5×x < $60

42 + 5x < 60

Solving for x

42 + 5x < 60

5x < 60 - 42

5x < 18

x < 18/5

x < 3.6 Giga bytes

Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The two marked angles are a linear pair, so supplementary.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . subtract 24

  156/13 = x = 12 . . . . divide by 13

The smaller angle is ...

  3x +15 = 3(12) +15 = 51

The angle with the basement floor is 51°.

Answer:

Step-by-step explanation:

7. The graph does not touch the x axis and never will

8. Horizontal asymptote is y=-100

Answer:

27

Step-by-step explanation:

Answer:

what the other fella put 27

Step-by-step explanation:

9514 1404 393

Answer:

  (i) ∠CDF = 86°

  (ii) ∠BAD = 141°

Step-by-step explanation:

(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.

  ∠CDF = 86°

__

(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...

  ∠CDH = 180° -∠CDF = 180° -86° = 94°

Then ...

  ∠CDA = ∠CDH +∠HDA = 94° +47°

  ∠CDA = 141°

Answer:

a = 30°

Step-by-step explanation:

We need to find the value of a.

We know that, a straight line makes an angle of 180°.

In this case,

a+3a+2a = 180

6a = 180

a = 30°

So, the value of a is equal to 30°.

Answer:

A. 2,4,1,3

B. 2,1,3,4

C. 2,1,3,4

D. 1,2,4,3

Step-by-step explanation:

its always cell the simplest among the choices then tissue which is comprised of cells then organs which comprised of tissues and lastly the systems in our body that is comprised of organs

Answer:

$0.45x

Step-by-step explanation:

Fred earns dollars. Let Fred earns $x.

Chad earns 45% more than Fred.

We need to find the expression for Chad.

Chad amount = 45% of x

[tex]=\dfrac{45}{100}x\\\\=0.45x[/tex]

So, Chad earns $0.45x.

Answer:

<CFE = 28

<RPQ = 53

Step-by-step explanation:

1)

<CFE + 152 = 180

<CFE = 180 - 152

<CFE = 28

2)

Complementary means the angles add up to 90 so:

<RPQ + 37 = 90

<RPQ = 90 - 37

<RPQ = 53

Answer:

option first is the right answer

Answer:

84.78

Step-by-step explanation:

The full area of the circle without the cutout is 113.04

The cutout sector is 28.26

So that would make our final answer 84.78

by subtracting 28.26(cutout) from 113.04(full circle)

(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360

Answer:

(-9,-1)

Step-by-step explanation:

You plug in the x and y values and solve the algebraic expression.