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3 years ago

Solve −3.5 = x 4 for x using the multiplication property of equality.

Mathematics

2 answers:

Shalnov [3]3 years ago

5 0

Answer:

(-14)

Step-by-step explanation:

AveGali [126]3 years ago

4 0

Answer:

x = -14

Step-by-step explanation:

-3.5 = x/4

In the right side, the fraction x/4 means x divided by 4. We want x alone, so we multiply both sides by 4.

-3.5 * 4 = x/4 * 4

-14 = x

Answer: x = -14

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1/3... of is 12 plzzzzz help me

yan [13]

Answer:

Step-by-step explanation:

1/3 of 12 is 1/3*12. 12/3=4.

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2 years ago

Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n 2 if heads comes up

Artyom0805 [142]

Answer:

In the long run, ou expect to lose $4 per game

Step-by-step explanation:

Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.

Assuming X be the toss on which the first head appears.

then the geometric distribution of X is:

X $\sim$ geom(p = 1/2)

the probability function P can be computed as:

$P (X = n) = p(1-p)^{n-1}$

where

n = 1,2,3 ...

If I agree to pay you $n^2 if heads comes up first on the nth toss.

this implies that , you need to be paid $\sum \limits ^{n}_{i=1} n^2 P(X=n)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = E(X^2)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =Var (X) + [E(X)]^2$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+(\dfrac{1}{p})^2$ ∵ X $\sim$ geom(p = 1/2)

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+\dfrac{1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p+1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-p}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-\dfrac{1}{2}}{(\dfrac{1}{2})^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{4-1}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{3}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ 1.5}{{0.25}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =6$

Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6

= $4

∴

In the long run, you expect to lose $4 per game

3 0

3 years ago

How do you simplify big awensers

insens350 [35]

That depends. If it is a fraction, can you cancel out some numbers? If it is an expression, can you combine like terms? Or do you need to factor?

8 0

3 years ago

Between which two rational numbers is squar root of 3 located

inessss [21]

We know that;

$1 ^{2} = 1 \\ 2^{2} = 4 \\ 

And 3 is between 1 and 4, therefore;\\ \boxed{1 \leq \sqrt{3} \leq 2 }

$

3 0

3 years ago

A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What

Temka [501]

Answer:

96 sq. cm.

Step-by-step explanation:

A "kite" has 2 diagonals, which are the "width" and "height" of the kite.

Using diagonals, the area of a kite is given by $A=\frac{pq}{2}$

Where

A is the area

p,q are the width and height, respectively

From the problem given, p is 12 and q is 16, so the area is:

$A=\frac{pq}{2}\\A=\frac{(12)(16)}{2}\\A=96$

Thus, the area is 96 sq. cm

5 0

3 years ago

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