Figure ABCD is a rhombus. Find the
value of x.
B
3x - 11
E
X +9
A
D
X = [?]
Help please

Answer:

a)

the probability that Fischer wins the match is 0.5714

b)

p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex],  d = 1, 2, 3, ........

                                 [tex]0[/tex]                     otherwise

Step-by-step explanation:

Given that;

probability that Fischer wins the match, p = 4

probability that Spassky wins the match, q = 0.3

Match drawn, 1 - p - q = 1 - 0.4 - 0.3 = 0.7

(a) What is the probability that Fischer wins the match?

P( Fischer wins) = p/( p+q)

we substitute

P( Fischer wins) = 0.4 / ( 0.4 + 0.3)

P( Fischer wins) = 0.4 / 0.7

P( Fischer wins) = 0.5714

Therefore, the probability that Fischer wins the match is 0.5714

b) What is the PMF of the duration of the match?

let D represent the duration of the match

since the duration D of the match is a geometric random variable with parameter p + q,

the PMF will be;

p( D = d ) = [tex]( 1 - p - q )^{d-1[/tex] ( p + q )

= [tex]( 1 - 0.4 - 0.3 )^{d-1[/tex] ( 0.4 + 0.3 )

p( D = d ) = [tex]( 0.3 )^{d-1[/tex] ( 0.7)

that is, p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex],  d = 1, 2, 3, ........

                                 [tex]0[/tex]                     otherwise

Answer:

x = 29

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 20^{2} + 21^{2}[/tex]

[tex]c^{2} = 400 + 441[/tex]

[tex]c^{2} = 841[/tex]

[tex]\sqrt{c^2} = \sqrt{841}[/tex]

[tex]c = 29[/tex]

As per the Pythagorean theorem, the value of 'x' for the given right angle triangle is 29.

"The Pythagorean theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC²​​. Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse."

Given, the value of the three sides of the right angle triangle are 20, 21, and 'x'.

Here, x = the hypotenuse of the right angle triangle.

Therefore, using the Pythagorean theorem, we get:

x² = 20² + 21²

⇒ x² = 400 + 441

⇒ x² = 841

⇒ x = √(841)

⇒ x = 29 (ignoring the negative value of the square root)

Therefore, the value of 'x' is 29.

Learn more about the Pythagorean Theorem here: https://brainly.com/question/20545091

#SPJ2

9514 1404 393

Answer:

  y = -3x +4

Step-by-step explanation:

The hint tells you the slope stays the same. Every point moves to 2 times its original distance from the origin. So, the new y-intercept will be (+2)(2) = +4. The dilated line is ...

  y = -3x +4

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

Answer:2 gallons per hour

Step-by-step explanation:

divide 6 and 3

Answer:

72 units

Step-by-step explanation:

SA=2lw+2lh+2hw

SA=2(8x2) + 2(8x2) + 2(2x2) Note, Not distributive

SA= 2(16) + 2(16) + 2(4)

SA= 32 + 32 + 8

SA= 72

Answer:

72 sq. units

Step-by-step explanation:

There are four rectangles of length 8 units and width 2 units, and two squares of length 2 units each.

area of one rectangle=8×2=16 sq. units

area of four rectangles=16×4=64 sq. units

area of on square=2×2=4 sq. units

area of two squares=4×2=8 sq. units

total surface area=64+8=72 sq. units

Answer:

3

Step-by-step explanation:

because if he turns right 90 he will get to school but if he turns left 90 he might get half way to the golf course. And since it doesn't specify there is no way in knowing which way to turn

Answer:

lol

Step-by-step explanation:

Answer:

one there is no milk in the fridge but you already poured the cereal

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

[tex]Width = 5ft[/tex]

[tex]Length = 4ft[/tex]

[tex]Height = 8ft[/tex]

The second has the following dimension:

[tex]Width = 3ft[/tex] ---- see the last label at the top

[tex]Length = 2ft[/tex] --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

[tex]Height = 8ft[/tex]

So: The volume of the closet is:

[tex]Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2[/tex]

[tex]Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft[/tex]

[tex]Volume = 160ft^3 + 48ft^3[/tex]

[tex]Volume = 208ft^3[/tex]

The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)

[tex]Boxes = \frac{208ft^3}{32ft^3}[/tex]

[tex]Boxes= \frac{208}{32}[/tex]

[tex]Boxes = 6.5[/tex]

Answer:

1st find the area of bigger rectangle ie l×b

again find area of small rectangle ie l×b

now subtract area of small rectangle by bigger one you get the area of shaded part

Answer:

4 and -5

Step-by-step explanation:

Answer:

4 and -5

Step-by-step explanation:

Coefficients are numbers that are multiplied by a variable.

The term 4ab has 4 as the coefficient and a and b as the variables.

The term -5b has -5 as the coefficient and b as the variable.

Step-by-step explanation: this one is for zack!!!!!!!!!

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Answer: 5/33

Explanation:

5/12 x 4/11 =5/33

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: check out the image hope this helps

Step-by-step explanation:

The answer are b,c, and f

Answer:

the frist one is 2 the second on is 3.5 and the third one is 3 and the last on is 2.9

Answer:

90 cubes.

Step-by-step explanation:

First we find volume of the cuboid.

Volume = l x b x h = 20 x 18 x 16 = 5760 cm³

Now,

Volume of a single cube = l³ = 4³ = 64

No of cubes that can be cut out from the cuboid is

= Volume of cuboid/ volume of cube

= 5760/ 64

= 90 cubes

Answer:

[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]

Step-by-step explanation:

a) distance/unit rate = 1600/12.5 = 128

b) liters of gas × unit price = 128 × 0.90 = 115.2

Answer:

a) 128 liters

b) $ 115.2

Step-by-step explanation:

Part a)

12.5 km = 1 liter

1 km = 1/12.5 liters

Multiplying both sides by 1,600

1600 km = 1600 / 12.5 liters

1600 km = 128 liters

Part b)

1 liter = $ 0.90

128 liters = 128 * 0.90

128 liters = $ 115.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

1. 50.26548

2. 12.56637

3. 3.14159

4. 201.06193

5. 113.09734

6. 38.48451

7. 63.61725

8. 153.93804

9. 28.27433

10. 19.63495

Step-by-step explanation:

The formula is A = pi r^2

Hope this helps! Please award brainiest if its correct!

Subtract the number of cups she takes from the total cups:

18 cups - 8 cups = 10 cups will be left

Answer:

5^5 is equal to 3125

Step-by-step explanation:

5×5×5×5×5=3125 Hope this helps!

the answer is 10 alangan

Let y = f(x)

Let cr = cube root for short

y = cr{3x} + 2

Switch x and y.

x = cr{3y} + 2

Solve for y.

x - 2 = cr{3y}

Raise both sides to the 3rd power.

(x - 2)^3 = [cr{3y}]^3

(x - 2)^3 = 3y

[(x - 2)^3]/3 = y

Replace y with the inverse function notation

f^(-1) x.

f^(-1) x = [(x - 2)^3]/3

Choice b is the answer.

Answer:

D. The function is always ingcreasing

Answer:

Ellen is correct

Step-by-step explanation:

Roger:

The left side 20 does not equal to the right side 0.002 , which means that the given statement is false.

Ellen:

The left side 20 is equal to the right side 20, which means that the given statement is always true.

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

-Aadi x

Answer:

Step-by-step explanation:

50in-3ft(12in/ft)

50in-36in

14in

Answer:

12+8x

Step-by-step explanation:

By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that

Answer: 9.6

Step-by-step explanation:

You need to isolate the m and in order to do that then you have to multiply both sides by 2

So m/2 x 2 = m

4.8 x 2 = 9.6 which is the answer

Answer:

Step-by-step explanation:

m/2 = 4.8

m = 4.8×2

m = 9.6

Answer:

the answer is X=-7

,,,,,

Answer:

it would be x=7

Step-by-step explanation:

brainliest pls