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2 years ago

Simplify (9^2)1/3 using rational exponents

Mathematics

2 answers:

Alborosie2 years ago

8 0

Answer:

Step-by-step explanation:

(9^2)^(1/3) = 9^(2 * 1/3) = 9^(2/3)

saul85 [17]2 years ago

7 0

I think he gave you the correct answer

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Please could anyone help me to solving this division problem 5/8 divided 2

skad [1K]

<span>5/8 divided 2

(5/8) / 2 = 5/8 * 1/2 = 5/16
Hope it helps</span>

7 0

3 years ago

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Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. S

gulaghasi [49]

Answer:

21.53 in of fabric on headbands

7.67 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 27+4= 31

for each person, she uses = 667.43/31= 21.53 in of fabric on headbands

She also uses 237.87inches of fabric on wristbands for just the players

For each player, she will use= 237.87/31= 7.67 in of fabric

Hence for each player, she used

21.53 in of fabric on headbands

7.67 in of fabric on wristbands

4 0

2 years ago

Given that cos (x) = 1/3, find sin (90 - x)

ddd [48]

Answer:

$\sin(90^{\circ} - x)=\frac{1}{3}$

Step-by-step explanation:

Given: $\cos (x)=\frac{1}{3}$

We have to find the value of $\sin(90^{\circ} - x)$

Since Given $\cos (x)=\frac{1}{3}$

Using trigonometric identity,

$\sin(90^{\circ} - \theta)=\cos\theta$

Thus, for $\sin(90^{\circ} - x)$ comparing , we have,

$\theta=x$

We get,

$\sin(90^{\circ} - x)=\cos x=\frac{1}{3}$

Thus, $\sin(90^{\circ} - x)=\frac{1}{3}$

3 0

3 years ago

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A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%

IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

$P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18$

a) P(firm will make at least one hire)

$P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32$

Also,

$P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4$

$\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9$

b) expected value and the standard deviation of the number of hires.

$E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58$

$E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89$

7 0

3 years ago

Theo and Kade worked on a school project together. Theo worked on the project 3 fewer hours than Kade did. Altogether, they work

babunello [35]

Let the hours Kade worked = X

Theo would be X - 3 ( 3 less than Kade).

Now you have:

X + X -3 = 27

Combine like terms:

2x - 3 = 27

Add 3 to each side:

2x = 30

Divide both sides by 2:

x = 15

Kade worked 15 hours.

Theo worked 12 hours.

6 0

3 years ago

Read 2 more answers