What is the cardinality of the set {4,9,12,19,26}

Step-by-step explanation:

from the solution above, the answer Is A

Answer:

B is the correct answer

Step-by-step explanation:

6(9+6)=54+36

6(15)=90

90=90

Answer:

Step-by-step explanation:

From the given information, it is likely that the random variable(X) have the values below:

Let head be H

Let tail be T

So;

X(HH) = 2;

X(HT) = 1;

X(TH) = 1;

X(TT) = 0

The distribution can now be computed as:

[tex]p(X= TT) = \dfrac{1}{4}[/tex]

[tex]p(X=TH) = \dfrac{1}{4}[/tex]

[tex]p(X=HT) = \dfrac{1}{4}[/tex]

[tex]p(X=HH)= \dfrac{1}{4}[/tex]

Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:

[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]

[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]

[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]

[tex]E(X) =\dfrac{1+1+2}{4}[/tex]

[tex]E(X) =\dfrac{4}{4}[/tex]

E(X) = 1

[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]

[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]

[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]

[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]

[tex]E(X^2) =\dfrac{6}{4}[/tex]

[tex]E(X^2) =1.5[/tex]

Finally; To compute E²[X]

E²[X] = E[X]²

E²[X] = 1²

E²[X] = 1

Answer:

c. -x + 3x + 7  = 2x+7

Step-by-step explanation:

f(x) = 3x +1 and g(x) = x - 6

f-g = 3x +1 - ( x - 6)

Distribute the minus sign

     = 3x+1 - x+6

     = 2x +7

Answer:

Dependent

Step-by-step explanation:

The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.

Answer:

Dependant

Step-by-step explanation:

It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.

Answer:

The right answer is:

(a) 0.01252

(b) 0.8882

(c) 0.9544

Step-by-step explanation:

Given:

Population proportion,

P = 0.17

Sample size,

n = 900

(a)

The standard error of proportion will be:

⇒ [tex]SE_p=\sqrt{\frac{P(1-P)}{n} }[/tex]

By putting the values, we get

           [tex]=\sqrt{\frac{0.17(1-0.17)}{900} }[/tex]

           [tex]=\sqrt{0.000158}[/tex]

           [tex]=0.01252[/tex]

(b)

We know that,

[tex]\hat{P}-P=\pm 0.02[/tex]

Now,

⇒ [tex]z=\frac{\hat{P}-P}{\sqrt{\frac{P(1-P)}{n} } }[/tex]

By substituting the values, we get

      [tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{900} } }[/tex]

      [tex]=\frac{\pm 0.02}{0.01252}[/tex]

      [tex]=\pm 1.59[/tex]

⇒ [tex]P(I\hat{P}-PI<0,02)=P(-1.59<z<1.59)[/tex]

                                   [tex]=1-2P(z<-1.59)[/tex]

                                   [tex]=1-2(0.0559)[/tex]

                                   [tex]=0.8882[/tex]

(c)

We know that,

[tex]\hat{P}-P=\pm 0.02[/tex]  

[tex]n = 1400[/tex]

Now,

⇒ [tex]z=\frac{\hat{P}-P}{\sqrt{\frac{P(1-P)}{n} } }[/tex]

By substituting the values, we get

      [tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{1400} } }[/tex]

      [tex]=\frac{\pm 0.02}{0.01}[/tex]

      [tex]=\pm 2[/tex]

⇒ [tex]P(I \hat P-PI<0.02)=P(-2<z<2)[/tex]

                                   [tex]=1-2P(z<-2)[/tex]

                                   [tex]=1-2(0.0228)[/tex]

                                   [tex]=0.9544[/tex]

Answer:

530.929158457

Step-by-step explanation:

13x13= 169 x pi= 530.929158457

Answer:

your mom

Step-by-step explanation:

u gonna fail just give up on life

Answer:

Option D

Hope this helps!

Answer:

4

Step-by-step explanation:

1/2=0.5

2/0.5=1

4x1=4

Answer:

option C. n = 24

Step-by-step explanation:

n - 21 = 3

n - 21 + 21 =  3 + 21                [adding 21 on both sides ]

n + 0 = 24                              [ -21 + 21 = 0 ]

n = 24

Answer:

Step-by-step explanation:

It's -3

Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm

We know that, Area of a rectangle is given by : Length × Width

⇒   Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²

Given : The scale is 1 cm = 4 feet

⇒   Area of Angel's rectangular room in square feet = 35 × (4 feet)²

⇒   Area of Angel's rectangular room in square feet = 35 × 16 feet²

⇒   Area of Angel's rectangular room in square feet = 560 feet²

Answer: 0.2

Step-by-step explanation:

1 divided by 5 = 0.2

Answer:

0.2

Step-by-step explanation:

1/5 = 1 divided by 5.

This will also apply to any fraction

Fraction = Numerator divided by Denominator

Answer:

60%

Step-by-step explanation:

[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]

[tex]\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}} \\ [/tex]

[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]

so answer is 60%

Answer:

18°

Step-by-step explanation:

Know that the intersection of two lines and the angles opposite each other are equal

3t+12=66

Subtract 12 from both sides

3t=54

Divide 3 from both sides

t=18

9514 1404 393

Answer:

  x ≈ 13.7

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(58°) = 22/x

  x = 22/tan(58°) ≈ 13.747

The value of x is about 13.7 units.

Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

Choose any value for x that is in the domain to plug into the equation.

Choose 0 to substitute in for x to find the ordered pair.

(0, -19/6)

Choose 1 to substitute in for x to find the ordered pair.

Remove parentheses.

y= -19/6 + 7(1)/6

Simplify

y=2

Use the

x and y values to form the ordered pair.

(1,−2)

Answer:

[tex]thank \: you[/tex]

Step-by-step explanation:

The sides with the variables are the same length, so make them equal.

x+2=2x-3

Get x alone on one side.

5=3x

Simplify.

5/3 = x

Answer:

5

Step-by-step explanation:

x+2 = 2x-3

+3 +3

x+5 = 2x

-x -x

x=5

Hope this helps! :)

Answer:

(-3,-2)

(-3,4)

(3,4)

(3,-3)

Step-by-step explanation:

Answer:

cant see nun mind showing it

The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.

Answer:

20?

Step-by-step explanation:

If 3 triangles = 30 they we could assume that each triangle = 10

10 + 10 + 10 = 30

If one triangle = 10 then the 2 circles would = 5 in the 2nd equation

10 + 5 + 5 = 20

If 1 circle = 5 then the 1 full squares would = 4

5 + 4 + 4 = 13

1 triangle = 10 , 1 circle = 5, Half a square = 2

10 + 5 * 2 = ?

Using PEMDAS we would multiply 2 and 5 first to get 10

10 + 10 = 20

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

2 = 2 × 1

6 = 2 × 3

GCF = 2

[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{\frac{1}{3}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

23 marbles

Step-by-step explanation:

3 groups of 7 = 21 +2 = 23

4 groups of 5 = 20 +3 = 23

The difference between twelve and three times a number.

Hope this helps! :)

Answer:

n = 11. 6n - 4 = 5n + 7.

Step-by-step explanation:

Also, if you've ever read Romeo and Juliet, please help me! I just need a general answer on my questions, and I'll give brainliest.

Answer:

14 - 3i

Step-by-step explanation:

Distribute the minus sign amongst the second equation:

(16 - 6i) - (2 - 3i) = 16 - 6i - 2 + 3i

Solve:

16 - 6i - 2 + 3i:

16 - 2 - 6i +3i

14 - 3i

Hope this helps!

Step-by-step explanation:

You need to multiply the row and column to get the numbers

for example the block with row 3 column 3,the answer is 3 x 3= 9

each spinner can land on any of the points it has, thus each of the number have the same possibility.