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3 years ago

Simplify sqrt 8y/sqrt y

Mathematics

2 answers:

pishuonlain [190]3 years ago

5 0

$\frac{ \sqrt{8y} }{ \sqrt{y} } = \\$

$\sqrt{ \frac{8y}{y} } = \\$

$\sqrt{8} =$

$\sqrt{ {2}^{2} \times 2 } =$

$\sqrt{ {2}^{2} } \sqrt{2} =$

$\sqrt{4} \sqrt{2} =$

$2 \sqrt{2}$

Eddi Din [679]3 years ago

3 0

$\frac{\sqrt{8y} }{\sqrt{y} }$

Answer:

$2\sqrt{2}$

I turned the numerator into an exponent: $2 \frac{3}{2}$

$\frac{2^{\frac{3}{2}}\sqrt{y}}{\sqrt{y}}$

The $\sqrt{y}$ will cancel out, leaving $2 \frac{3}{2}$ .

$2^{\frac{3}{2}}=2\sqrt{2}$

Hope this helps!!!

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Baseball's division series is a best of five game series. That is, the first team to win 3 games is the winner. Team A and team

iris [78.8K]

Answer:

1. 27.46% probability that A wins the series in 3 games.

2. There is a 28.84% probability A wins the series in 4 games.

3. There is a 20.18% probability A wins the series in 5 games.

4. There is a 76.48% probability A wins the series.

5. There is a 71.825% probability A wins the series if a "best-of-three" game series is played.

Step-by-step explanation:

For each game, there are these following probabilities:

A 65% probability team A wins.

A 35% probability team B wins.

The combination formula is important to solve this problem:

This is because for example, team A winning games 1,2 and 4 and team B winning game 3 is the same as team A winning games 1,3,4 and team B winning game 2. That is, the order is not important.

$C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

1. What the probability that A wins the series in 3 games?

This is team A winning all 3 games. For each game, there is a 65% probability that team A wins. So

$P = (0.65)^{3} = 0.2746$

There is a 27.46% probability that A wins the series in 3 games.

2. What is the probability A wins the series in 4 games?

This is the team A winning three games and the team B 1. The team B win cannot happen in the fourth game, so the number of possibilities is a combination of 3 by 2. So

$C_{3,2} = \frac{3!}{2!1!} = 3$

The probability that team A wins the series in 4 games is:

$P = 3*(0.65)^{3}*(0.35) = 0.2884$

There is a 28.84% probability A wins the series in 4 games.

3.What is the probability A wins the series in 5 games?

This is the team A winning three games and the team B 2. The team B second win cannot happen in the fifth game, so the number of possibilities is a combination of 4 by 2. So

$C_{4,2} = \frac{3!}{2!1!} = 6$

The probability that team A wins the series in 5 games is:

$P = 6*(0.65)^{3}*(0.35)^{2} = 0.2018$

There is a 20.18% probability A wins the series in 5 games.

4. What is the probability A wins the series (period)?

They can win the series in 3,4 or 5 games. So this is the sum of the answers for 1,2,3.

$P = 0.2746 + 0.2884 + 0.2018 = 0.7648$

There is a 76.48% probability A wins the series.

5. What is the probability A wins the series if a "best-of-three" game series is played?

These three following outcomes are accepted:

A - A

A - B - A

B - A - A

$P = (0.65)^{2} + 2*(0.65)^{2}*(0.35) = 0.71825$

There is a 71.825% probability A wins the series if a "best-of-three" game series is played.

3 0

3 years ago

The binary string 01000110001000 is a floating-point number expressed using the 14-bit simple model given in your text. (There a

givi [52]

Answer:

<h2>The decimal equivalent of the number is 8976.</h2>

Step-by-step explanation:

In the given binary string, there is a one in the 4, 8, 9 and 13th place (when counted from 0 starting from the unit place).

In which places of the given number, there are 0, the resultants of those places will be 0.

Hence, the number will be $2^4 + 2^8 + 2^9 + 2^{13} = 8976$ .

8 0

3 years ago

10 POINTS + BRAINLIEST ANSWER!!

arsen [322]

4a - j = 7a + 3
4b - k = 7b + 3

None of the answers are true, a b are always b minus.

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3 years ago

What is relationship between the unit fractions,1/2 and1/10? Describe both the number and size of the parts

Anna35 [415]

The two fractions are divisible by 2, can be broken down

6 0

4 years ago

. Here is an equation 2x + 9 = -15. Write three different equations that have the same solution as 2x + 9 = -15. Show or explain

Anettt [7]

Answer:

1. $x-3=-15$
2. $2x=-24$
3. $2x-3=-27$

Step-by-step explanation:

Given the following question:

$2x+9=-15$

To find three equations that have the same solution as the given equation we have to first solve the equation.

$2x+9=-15$
$9-9=0$
$-15-9=-24$
$2x=-24$
$2x\div2=x$
$-24\div2=-12$
$x=-12$

Equation one:
$x-3=-15$
$-3+3=0$
$-15+3=-12$
$x=-12$

Equation two:
 $2x=-24$
$2x\div2=x$
$-24\div2=-12$
$x=-12$

Equation three:
$2x-3=-27$
$-3+3=0$
$-27+3=-24$
$-24\div2=-12$
$x=-12$

Hope this helps.

4 0

2 years ago