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A pyramid has a square base with sides of length s. The height of the pyramid is equal to
of the length of a side on the base. Which formula represents the volume
of the pyramid?
A.
V
ОВ.
V=
OC.
V-
D.
V=353
E. V=652

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:

[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:

19413 shares

24787  bonds

Step-by-step explanation:

Stock price = $14 p/s

Bond funds = $16 p/s

Value given = 134,600

2,600 fewer is given for stock

meaning 2.600 is more for bond

134,600 - (16 x 2600)=41600 combined equal shares

Each shares worth;   14+16 = 30

41600 / 30 = 1386.66667 amount combined

1386.66667 x 14 = 19413 shares

1386.66667 x 16 =22186.6667 + 2600 =  24787  bonds

Answer:

the scale factor is 3. hope this helps

Answer:

3

Step-by-step explanation:

you can set up a ratio using corresponding parts from each triangle.

or

notice the change from 3 to 9 is by multiplying 3 x 3

the change is the same for all : 3 x 4 = 12 , 3 x 5 = 15

ratio way

[tex]\frac{new}{old\\}[/tex] = [tex]\frac{9}{3}[/tex] = 3

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:

Step-by-step explanation:

D

Answer: the Answer is A'(-30, -12) and C"(-4, -6)

the Answer is D i took the test

Step-by-step explanation:

The difference between twelve and three times a number.

Hope this helps! :)

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:

the last one

Step-by-step explanation:

there are 3 negative sings for that

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:

b = 34°

Step-by-step explanation:

b + 115° + 31° = 180°

b + 146° = 180

b = 180° - 146°

b = 34°

Answer:

[tex] {b}^{o} = {34}^{o} [/tex]

Step-by-step explanation:

Hint :

Sum of angles = 180°

Simplify :

[tex] {115}^{o} + {31}^{o} + {b}^{o} = {180}^{o} [/tex]

[tex] {146}^{o} + {b}^{o} = {180}^{o} [/tex]

[tex] {b}^{o} = {180}^{o} - {146}^{o} [/tex]

[tex] {b}^{o} = {34}^{o} [/tex]

Answer:

64

Step-by-step explanation:

32 + 8 x 4.

PEMDAS says multiply first

32 + 32

Then add

64

Answer: the answer is 41

step-by-step explanation:

so first u start by mutiplying 8x4

den u add 3^2 just so u know its not the number 32  its 3 over 2

and u get 41

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:

£2348.48

Step-by-step explanation:

We can use the “slow method” for this, seeing it’s only 3 years.

£2000 * 105.5% = 2110 * 105.5% = 2226.05 * 105.5% = 2348.48

(105.5% = 1.055, by the way)

After the initial calculation, you can use Ans * 1.055 until you’ve hit the three years.

Answer:

Marie earns more per hour

Step-by-step explanation:

Carlos earns $10.06 per hour

Marie earns $11.00 per hour

46-20=26

Marie earns more money per hour

Answer:

5328.78

Step-by-step explanation:

formula:

[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]

this rounds to 5328.78

Answer:

your mom

Step-by-step explanation:

u gonna fail just give up on life

Answer: B

Step-by-step explanation:

The minimum score  he need to make on his fourth test so that his test average is at least an 80 is 88 .

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Average = [tex]\frac{Sum of total data }{Number of data }[/tex]

According to the question

Dan has grades on his first three algebra tests is 74, 78, 80  .

minimum score does he need to make on his fourth test so that his test average is at least an 80

Now ,

Let fourth test score be x .

and minimum average needed is greater than or equal to 80 .

By applying average formula :

Average =  [tex]\frac{Sum of total data }{Number of data }[/tex]

substituting the values

80 ≤   [tex]\frac{74 + 78+80+x}{4}[/tex]

320 ≤  232 + x

88 ≤  x

i.e

x should be greater than or equal to 88

Therefore ,

fourth test score should be greater than or equal to 88 to get average at least 80.

Hence, the minimum score  he need to make on his fourth test so that his test average is at least an 80 is 88 .

To know more about average here:

https://brainly.com/question/24057012

#SPJ2

Answer:

Step-by-step explanation:

It's -3

Answer:

120°

Step-by-step explanation:

Recall:

The sum of interior angles if a parallelogram equals 360;

The sum of the angles can be defined as :

(x + 2x + x + 2x) = 360

6x = 360

x = 360/6

x = 60°

The angle BCD = 2x

Hence, angle BCD = 2(60°) = 120°

Answer:

Option D

Hope this helps!

========================================================

Explanation:

Let's replace n with 9 to see if we get a true inequality or not.

2n > 16

2*9 > 16

18 > 16

We get a true statement since 18 is indeed larger than 16. Therefore, n = 9 is a solution.

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

Here's another way to tackle the problem:

We can isolate n as if solving an equation. Divide both sides by 2 to do this. The inequality sign does not flip (it only does so if you divide both sides by a negative number).

So we get...

2n > 16

2n/2 > 16/2

n > 8

The solution set is any number larger than 8. Since n = 9 fits the description, that's one of the infinitely many solutions.

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

Side note: The graph will involve an open hole at 8 and shading to the right on the number line.

Answer:

23 marbles

Step-by-step explanation:

3 groups of 7 = 21 +2 = 23

4 groups of 5 = 20 +3 = 23

Answer:

6

Step-by-step explanation:

mean is the sum of them all followed by dividing how many there are, so 10 plus 2 plus 8 plus 9 plus 5 plus 2 plus 6 divided by 7 is 6

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:

D. V=314.2cm³

Step-by-step explanation:

The volume of the cone is:

V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³

Answer: D) 314.2 [tex]cm^3[/tex]

Step-by-step explanation:

The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]

r is the radius and h is the height/altitude.

We can sub these values in and solve

[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]

Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate

[tex]V=(100)(3.14)\\V=314[/tex]

The volume is about 314.

Our closest answer to that is D so that is the correct choice.

answer is

(Y)=-23,-14, -5,4,13

hope this will help you

Answer:

C).

[tex]= \sqrt{ {16}^{2} + {30}^{2} } \\ = \sqrt{1156} \\ = 34 \\= \sqrt{ {34}^{2} + {5}^{2} } \\ = \sqrt{1181} \\ = 34.37[/tex]

a. 66

b. 100

c. 100

Hope this helps! :)