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erma4kov [3.2K]
3 years ago
14

Can someone please help with this problem and explain. Please answer quickly, thx :) (picture included)

Mathematics
1 answer:
Anna007 [38]3 years ago
3 0
Exponential laws
(x^{m})^{n}=x^{mn}
x^{\frac{m}{n}}=\sqrt[n]{x^{m}}

so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)= \sqrt[3]{m^{1}}= \sqrt[3]{m}
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how is it possible for the expected value of a game to be losing 65 cents of the only outcomes are win $2 or lose $1
Stells [14]
Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.
4 0
3 years ago
At a carnival , 7 out of 10 people order a hot dog. If there is 90 people at the carnival, how many of them did
maxonik [38]

Answer:

27 people

Step-by-step explanation:

Out of 10 people, 7 people ordered a hot dog.

Multiply both sides by 9:

Out of 90 people, 7\times9 people ordered a hot dog.

Thus, 63 people ordered a hot dog.

Number of people who did not order a hot dog: 90-63=27

8 0
3 years ago
The width of a rectangle, in feet, is represented by (3x-1.5). The length of the rectangle, in feet, is represented by (1.25x+3)
Simora [160]

Answer:

5.5x + 1.5

Step-by-step explanation:

P = 2(l + w)

P = 2(1.25x + 3 + 3x - 1.5)

7 0
3 years ago
Let f(x)=1/x and g(x)=x^3. Find f(x) -g(x)
kari74 [83]
To find f(x) - g(x), simply subtract g(x) from f(x).

\frac{1}{x} -x^3

If you need to simplify, we can find a common denominator:

\frac{1-x^4}{x}
6 0
3 years ago
What is the difference?
Ganezh [65]

Answer:

\frac{x^2+4x-1}{x(x+2)}

Step-by-step explanation:

Given

\frac{x+5}{x+2} - \frac{x+1}{x^2+2x} ← factor denominator

= \frac{x+5}{x+2} - \frac{x+1}{x(x+2)}

We require the fractions to have a common denominator.

Multiply numerator/denominator of first fraction by x

= \frac{x(x+5)}{x(x+2)} - \frac{x+1}{x(x+2)}

Subtract terms on numerator leaving the common denominator

= \frac{x^2+5x-x-1}{x(x+2)}

= \frac{x^2+4x-1}{x(x+2)}

7 0
3 years ago
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