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4 years ago

Which expression is equivalentHELP ME PLEASE

Mathematics

1 answer:

aalyn [17]4 years ago

7 0

Answer:

the 4th option is correct

Step-by-step explanation:

$xy^{2/9}$ Original expression

$x(y^{2})^{1/9}$ Split up the exponent

$x(\sqrt[9]{y^{2} } )$ The 1/9 of an expression is the same thing is the 9th root of the expression.

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What is the square root of 81

Vesnalui [34]

The square root of 81 is 9. 9 * 9, or 9^2, equals 81

5 0

4 years ago

Read 2 more answers

Please solve the following question.

vesna_86 [32]

The chance of selecting 10 men is unlikely in a random selection

<h3>The probability that the jury is made of 2 men</h3>

The given parameters are:

Men = 17
Women = 15
Total = 32

The total number of selections is:

$Total = ^{32}C_{10}$

Evaluate

Total = 64512240

If 2 men are selected, then 8 women would be selected.

So, the number of ways is:

$Ways = ^{17}C_2 * ^{15}C_8$

Evaluate

Ways = 136 * 6435

Ways = 875160

The required probability is:

P = 875160/64512240

P = 0.0136

Hence, the probability that the jury is made of 2 men is 0.0136

<h3>The probability that half the jury are men</h3>

If 5 men are selected, then 5 women would be selected.

So, the number of ways is:

$Ways = ^{17}C_5 * ^{15}C_5$

Evaluate

Ways = 6188 * 792

Ways = 4900896

The required probability is:

P = 4900896/64512240

P = 0.0760

Hence, the probability that the jury is made of half men and women is 0.0760

<h3>The probability that at least two women are selected</h3>

To do this, we make use of the complement rule:

P = 1 - P(Not up to 2 is selected)

When 0 women are selected, then 10 men are selected and when 1 woman is selected, then 9 men are selected

So, the number of ways is:

$Ways = ^{17}C_{10} * ^{15}C_0 + ^{17}C_{9} * ^{15}C_1$

Evaluate

Ways = 19448 * 1 + 24310 * 15

Ways = 384098

The probability P(Not up to 2 is selected) is:

P = 0.0060

The required probability is:

P = 1 - 0.0060

P = 0.9940

Hence, the probability that the jury is made of at least two women is 0.9940

<h3>The probability that at 10 men are selected</h3>

When 10 men are selected, then 0 women are selected

So, the number of ways is:

$Ways = ^{17}C_{10} * ^{15}C_0$

Evaluate

Ways = 19448 * 1

Ways = 19448

The probability is:

P = 19448/64512240

P = 0.0003

Hence, the probability that the jury is made of 10 men is 0.0003

The selection above can lead to suspicion because the chance of selecting 10 men is unlikely in a random selection

Read more about probability at:

brainly.com/question/251701

#SPJ1

4 0

2 years ago

List Things you could measure in milliliters and liters.<br><br><br> Help , thanks

ASHA 777 [7]

you could use measuring cups

8 0

3 years ago

ASAP PLEASE HELP ME WILL MARK BRAINLIST

Kitty [74]

Answer:

x=10

Step-by-step explanation:

Use the Pythagorean Theorem, which is a^2+b^2=c^2

The formula would lead to:

6^2+8^2=x^2

36+64=x^2

100=x^2

10=x

3 0

3 years ago

the altitude of A (in feet) of a plane T minutes after liftoff is given by a=3400t + 600. How many minutes after liftoff is the

____ [38]

If our equation is $a = 3400t + 600$ , and we have a target altitude of $21,000$ , we just need to plug that in for $a$ .

$21,000 = 3,400t + 600$ . Now subtract $600$ from both sides.

$20,400 = 3,400t$ . now divide both sides by $3,400$ .

$6 = t$ .

We get that our answer is at 6 minutes we get an altitude of 21,000 feet!

6 0

3 years ago