Verify which of the following are identities.

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

Answer:

2m^3 + 3m^2

Step-by-step explanation:

8m^4+12m^3

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

4m

2m^3 + 3m^2

Check

4m(2m^3+3m^2)

8m^4 + 12 m^3

Answer:

5 seconds

Step-by-step explanation:

The speed of an object is the rate of distance over time. The value of time (t) at the greatest speed of the ball is at 2 seconds

First, we calculate the speed using:

[tex]Speed = \frac{h(t)}{t}[/tex] --- i.e. distance/time

At t = 0, h(t) = 5

So;

[tex]Speed = \frac{5}{0} = unde fine d[/tex]

At t = 3, h(t) = 12

[tex]Speed = \frac{12}{3} = 4[/tex]

At t = 6, h(t) = 15

[tex]Speed = \frac{15}{6} = 2.5[/tex]

At t = 9, h(t) = 11

[tex]Speed = \frac{11}{9} = 1.2[/tex]

At t = 12, h(t) = 6

[tex]Speed = \frac{6}{12} = 0.5[/tex]

At t = 15, h(t) = 0

[tex]Speed = \frac{0}{15} = 0[/tex]

By comparing the above values, we notice that as time and height increases, the value of speed reduces.

This means that the greatest value of speed will be at the least value of time (t).

From the given options, the least value of time is at:

[tex]t = 2[/tex]

Hence, the value of time (t) at the greatest speed of the ball is at 2 seconds

Read more about speed at:

https://brainly.com/question/7359669

Answer:

∠3z = 108 degrees

∠2z = 72 degrees

Step-by-step explanation:

First, we need to create an equation.

3z + 2z = 180

5z = 180

Divide both sides by 5:

z = 36

Now, substitute z for five for both angles.

3 x 36 = 108 degrees

2 x 36 = 72 degrees

Hope this helps!

If there is something wrong, please let me know.

Answer:

i think its b. f x( ) = mx +b

Step-by-step explanation:

:)

Answer:

insert values of x and y

r - ( -4(-4) - ( -3-3))

r - ( 16 +6 )

r - 22

Doneeeeeeeeeeeeeeeeee3

Answer:

The correct choice is option B. y+1/y-1

Step-by-step explanation:

Your answer iss...

It is 51º

Answer: 9 (2 mark question) and 18 (5 marks questions)

Step-by-step explanation:

Given: Total mark = 108

Let the 2 marks questions be x

Therefore 5 mark question = 2x

ATQ

⇒5(2x)+2(x) = 108

⇒10x+2x =108

⇒12x = 108

⇒x = 108/12

⇒x = 9

Total two mark questions are 9 and 5 mark questions are 18.

please click thanks and mark brainliest if you like :)

Answer:

2160

Step-by-step explanation:

because c is 15 and d is 12 therefore d² is 144 and 144x15 is 2160

Answer:

2160

Step-by-step explanation:

Substitute

[tex](15)(12) {}^{2} [/tex]

[tex]15 \times 144 = 2160[/tex]

Answer:

26, 42, 68

Step-by-step explanation:

In the Fibonacci sequence, each number is equal to the sum of the two previous numbers. Denoting the sequence as a, we can say that

a₁=2

a₂=4

a₃=6

a₄=10

a₅=16

What we can see here is that each number a₃ or above is equal to the sum of its two previous numbers. For example, a₃ = a₁+a₂ = 2 +4 = 6

Therefore,

a₆ = a₄+a₅ = 10+16 = 26

a₇ = a₅+a₆ = 16 + 26 = 42

a₈ = a₆+a₇ = 26 + 42 = 68

Answer:

count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater

Answer:

 7[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

- 2[tex]\frac{1}{3}[/tex] - ( - 10[tex]\frac{1}{6}[/tex] ) = - 2[tex]\frac{1}{3}[/tex] + 10[tex]\frac{1}{6}[/tex] = - 2[tex]\frac{2}{6}[/tex] + 10[tex]\frac{1}{6}[/tex] = ( 10 - 2 ) + ( [tex]\frac{1}{6}[/tex] - [tex]\frac{2}{6}[/tex] ) = 8 - [tex]\frac{1}{6}[/tex] = 7 + ( [tex]\frac{6}{6}[/tex] - [tex]\frac{1}{6}[/tex] ) = 7[tex]\frac{5}{6}[/tex]

Answer:

33. That means (A) can be any number and b times any number wilo get 0 so any numbr will do

34.It is wrong because if x equals 40 anything multiply that will be more than that and so isnt a good reasoning

Answer:

b=70

Step-by-step explanation:

The range is the value that the output takes

In this graph, the output is constant at 70

The output value is b

b=70

[tex]\\ \sf\longmapsto \dfrac{4}{m+m}\times \dfrac{4}{m-m}[/tex]

[tex]\\ \sf\longmapsto \dfrac{4\times 4}{(m+m)(m-m)}[/tex]

[tex]\boxed{\sf (a-b)(a+b)=a^2-b^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{16}{m^2-m^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{16}{0}[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

Answer:

(16-m^4)/m^2

Step-by-step explanation:

=([tex]\frac{4}{m}[/tex]+m)([tex]\frac{4}{m}[/tex]-m)

=[tex]\frac{4+m^2}{m}[/tex]*[tex]\frac{4-m^2}{m}[/tex]  (LCM)

[tex]\frac{16-m^4}{m^2}[/tex] (a-b)(a+b)

Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

~Simplify left side

7x + 7 + 2 = 5x + 15

~Combine like terms

7x + 9 = 5x + 15

~Subtract 9 to both sides

7x = 5x + 6

~Subtract 5x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

If one Angle is = 30

And the other two angles are equal

Given: x = l

ATQ

⇒30+x+l= 180

⇒x + x = 180-30

⇒2x = 150

⇒x = 150/2

⇒x = 75

Therefore x = 75

And the angles are 30, 75 and 75

Must click thanks and mark brainliest

Answer: It's probably going to be C. Just a hunch!

If you half a half, you will have 2 pieces.

THIS IS JUST A GUESS! THINK BEFORE YOU RISK!

Answer:

Its C

Step-by-step explanation:

because assume you have 2 squares, having the 1/2 is like cutting a square into 4 pieces.

by common sense I can tell is C.) by investigating in a variety of investment options!

while doing business I rather have multiple options than one! but that is personal you may have your own thought!

Answer:

C. by investigating in a variety of investment options

Explanation:

diversification reduces investment risk

(it is obviously not a as volatility is high degree of variation which is negative)

Answer:

139°

Step-by-step explanation:

8x+51+6x-25=180

14x+26=180

14x=180-26

14x=154

x=154/14

x=11

<AOB= 8x+51 = 8(11)+51 = 88+51 = 139

Answer:

x = 134

Step-by-step explanation:

All right, I'm not the best at explaining these but I will try. So first these two are parallel lines (Because you can see the 2 arrows >> like this). When looking at the problem what I would first to is find the angle on the other side of 46, which is 134. Since these are parallel lines the line up there will also equal the same. So x would equal 134 and the angle on the other side will be 46. I hope that makes sense, if not you can ask me what doesn't make sense and I will try to explain it

Answer:

x = 134°

Step-by-step explanation:

x and 46° are same- side interior angles and sum to 180° , so

x + 46° = 180° ( subtract 46° from both sides )

x = 134°

Answer:

(a) 18

(b) 80

Step-by-step explanation:

(a) let y=kx

so, 24=16k

or, k=24/16 or, k=3/2

now, putting x=12

y=kx

or, y=(3/2)×12

or, y=3×12/2

or, y=36/2

or, y=18

(b) let P=k/z

so, 4=k/200

or, k=800

when P = 10

P=k/z

or, 10=800/z

or, z=800/10

or, z=80

9514 1404 393

Answer:

  c. If a plane contains a line, it contains the points on the line.

Step-by-step explanation:

The only statement relating a point on a line to the plane containing the line is the one shown above.

_____

Additional comment

Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is relevant to the question being asked.

Answer:

I think answer is E

Step-by-step explanation:

Answer:

litrally I don't understand what you are telling

Answer:

4 3/5

Step-by-step explanation:

4/5 - (-3 4/5)

Subtracting a negative is like adding

4/5 + 3 4/5

3 8/5

3 5/5 + 3/5

3+1+3/5

4 3/5

Answer:

5+39 this is the answer 5+39

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]