FAR is to DISTANCE as DEEP is to __?__.

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:

[tex] 148 \frac{3}{4} \: {in}^{3} [/tex]

Step-by-step explanation:

volume of the right rectangular prism

[tex] = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} [/tex]

Answer: The volume is 148 3/4 in3.

Step-by-step explanation:

V= l*w*h      

V= 10* 4 1/4* 3 1/2

V= 148 3/4

Answer:

-10/3 is a rational number

Step-by-step explanation:

Rational numbers are the ratios of two integers.

Answer: yx (4)(12) / 8

Step-by-step explanation:

Answer:

1. What is an inverse proportion equation that represents this situation?

y=48/k

2. How many crackers will each person get if 8 people are sharing the crackers?

6 crackers

Step-by-step explanation:

1. What is an inverse proportion equation that represents this situation?

The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.

When there are 4 people, each person gets 12 crackers:

y=k/x

12=k/4

48=k

Therefore, our equation is y=48/x

2. How many crackers will each person get if 8 people are sharing the crackers?

y=48/x, where y is the number of cracker and x is the number of people.

y=48/8

y=6

Answer:

B and E

Step-by-step explanation:

15 divided by 12 is =1.25

1.25 ti.es 36 rooms =45 hours

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

C

Step-by-step explanation:

Answer

61

Step-by-step explanation:

subtract 180-73.8-46.2

Answer:

The value of z is 26.6

Step-by-step explanation:

72.6 - 46.2=26.6

Answer:

Rectangle + half circle ?

Step-by-step explanation:

Answer:

A rectangular prism and half of a cylinder.

Step-by-step explanation:

The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The angles where the expressions are given are a linear pair, so total 180°.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms

  x = 156/13 = 12

Then the acute angle is ...

  3x +15 = 3(12) +15 = 36 +15 = 51

The stairs make an angle of 51° with the basement floor.

_____

Additional comment

Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.

Answer:

We conclude that the mean age of average viewer has changed

Step-by-step explanation:

H0 : μ = 43

H1 : μ > 43

The test statistic :

(xbar - μ) ÷ σ/sqrt(n)

Sample size, n = 100

xbar = 45 ; σ = 5

Test statistic :

(45 - 43) ÷ 5/sqrt(100)

2 ÷ 0.5 = 4

The Pvalue :

P(Z < 4) = 0.000032

Pvalue < α

0.000032 < 0.05 ; Hence, we reject the Null

We conclude that the mean age of average viewer has changed

Answer:

216

Step-by-step explanation:

area of one side-6x6=36. 36x6=216

https://discord.com/channels/831320243858178088/831320244437254146/831690199184179221Step-by-step explanation:

Answer:

Its English :))))))

Answer:

i would go fro the first one

Step-by-step explanation:

its asking whitch maple have the more absolute deviations

Answer:She has to pay $20078.7 amount.

Step-by-step explanation:

Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.

To find : How much will she pay altogether?

Solution :

Using compound interest formula,

A = P(1 + r)

Where A is the amount

P is the principle P=17,000

P is the rate r=4.25%=0.0425

t is the time t= 4 years

Substitute the value,

Therefore, She has to pay $20078.7 amount.  

I don't know all of them I guess since I can't see the graphs

Answer:

The graph of the direct variation equation is a straight line through the origin.

Step-by-step explanation:

Answer:

-971

Step-by-step explanation:

I plugged the numbers into a arithmetic sequence calculator

Answer:

b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

e) [tex]\tan(B) = 1[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

The true statement about B

The given options show that we determine the correct trigonometry ratio of B.

So, we have:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

This gives:

[tex]\cos(B) = \frac{a}{c}[/tex]

Where:

[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]

Also:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(B) = \frac{b}{c}[/tex]

Where:

[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

Lastly:

[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]

This gives:

[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]

[tex]\tan(B) = 1[/tex]

Hence, (b) and (e) are true

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

834,692

If the number is less than 5, you keep the the 90 the same.

If the number is more than 5, the new number would be 834,700.

The answer is

Answer:

the only thing is that your dot should be an open circle because 11 is not included in the answer. If it was less than or equal too, you have a closed dot, but since its just less than its an open dot. I like to think of it like if its closed dot its included, and if its an open dot it falls through the hole and is not included. I don't know if that makes sense, but you've got it otherwise.

Answer:

mAB=130°

Step-by-step explanation:

The tangent-chord theorem tells us that the angle the tangent makes with the curve (65°) is half the measure of the arc (mAB):

mAB=2(65)=130°

The value of measure of arc AB is,

⇒ m AB = 130°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Now, We know that;

The tangent-chord theorem tells us that the angle the tangent makes with the curve is half the measure of the arc.

Hence, We can formulate;

⇒ m AB = 2 × 65°

              = 130°

Thus, The value of measure of arc AB is,

⇒ m AB = 130°

Learn more about the angle visit:;

https://brainly.com/question/25716982

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Answer:

52.5

Step-by-step explanation:

Find inner square (7 * 7 = 49), then find outer triangles (.5*7=3.5 for both) then u get 52.5 plz mark 5 str, helpfull, and brainliest!

Answer:

Option 2, v plus 5 greater or equal than 9

Step-by-step explanation:

For inequality represented by option 2 i.e v plus 5 greater or equal than 9

v+5 >= 9

If we put v =4 in above inequality, we get

4+5>= 9

9>= 9

Hence, option 2 is correct

Answer:

Option 2

Step-by-step explanation:

54 = 6n     divide 6 on both sides, 6's will cancel on the right.

__    __     solve for 54 ÷ 6 = 9

6      6

n = 9, choice 4 -- final answer

hope this helps :)

The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

54 = 6n

Divide by 6 into both sides,

n = 9

Hence "The solution of the given equation 54 = 6n will be 9".

For more about the equation,

brainly.com/question/10413253

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Answer:

It is 15!

Step-by-step explanation:

Therefore the answer is x=15 :)

Answer:

74 and 76

Step-by-step explanation:

I'm pretty sure

Answer:

8 and 9

Step-by-step explanation:

8 x 8 = 64

9 x 9 = 81

75 is the number between 64 and 81