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2 years ago

A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue

Mathematics

1 answer:

Nina [5.8K]2 years ago

5 0

Answer: If this dont help then im sorry report me i guess

(a) red.

6 ways out of 15 = 6/15 = 2/5

(b) white,

4 ways out of 15 = 4/15

That's the complement of (a), so it's 1 - 2/5 = 3/5

(d) red or white.

10 ways out of 15 = 10/15 = 2/3

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probabili

melisa1 [442]

Answer:

$P(\hat p>0.14)$

And using the z score given by:

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

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

Step-by-step explanation:

For this case we have the proportion of interest given $p =0.12$ . And we have a sample size selected n = 474

The distribution of $\hat p$ is given by:

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

We want to find this probability:

$P(\hat p>0.14)$

And using the z score given by:

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

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

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3 years ago

What is the inverse of the logarithmic function<br> f(x) = log₂x?

Shtirlitz [24]

Answer:

An exponential function.

$f(y)=g^{y}$

Step-by-step explanation:

The inverse of the logarithmic function is an exponential function.

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2 years ago