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3 years ago

Simplify the following expression 9v^2(v^2+3v-4)

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

The answer would be 9v ^4 + 27v ^3 - 36v^2

Step-by-step explanation:

You first would multiply each term in the parenthesis by 9v^2

9v^2 (v^2) + 9v^2 (3v) - 9v^2 (4)

After this you combine the like terms

9v^2 * v^2 is 9v^4

9v^2 * 3v is 27v^3

-9v^2 * 4 is -36v^2

Because you can not simplify it any smaller, this is your final answer

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3 years ago

In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places

erastova [34]

Answer:

$z= \frac{p- \mu_p}{\sigma_p}$

And the z score for 0.4 is

$z = \frac{0.4-0.4}{\sigma_p} = 0$

And then the probability desired would be:

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Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

$np = 45*0.4= 18 >10$

$n(1-p) = 45*0.6= 27 >10$

For this case we can assume that the population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Where:

$\mu_{p}= \hat p = 0.4$

$\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703$

And we want to find this probability:

$P(p$

And we can use the z score formula given by:

$z= \frac{p- \mu_p}{\sigma_p}$

And the z score for 0.4 is

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And then the probability desired would be:

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7 0

3 years ago

Read 2 more answers

Carnival M charges an entrance fee of $5.00 and $0.50 per ticket for rides. Carnival P charges and entrance fee of $7.00 and $0.

Kryger [21]

For both Carnivals to have the same cost, 10 tickets will have to be purchased.

Carnival M :

Entrance fee = $5.00

Cost per ticket = $0.50

Carnival P :

Entrance fee = $7.00

Cost per ticket = $0.30

Let the Number of ticket = n

Cost of n Carnival M tickets :

5 + 0.50n - - - (1)

Cost of n Carnival P tickets :

7 + 0.30n - - - (2)

Value of n in other to have the same price :

(1) = (2)

5 + 0.50n = 7 + 0.30n

Collect like terms

0.50n - 0.30n = 7 - 5

0.20n = 2

Divide both sides by 0.20

n = 2 / 0.20

n = 10

Therefore, 10 tickets has to be purchased for both Carnivals to have the same cost.

Learn more : brainly.com/question/18796573

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2 years ago

Please help me ASAP!

alexgriva [62]

Answer:b

Step-by-step explanation:

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2 years ago

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