All categories

1 year ago

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Mathematics

1 answer:

nadezda [96]1 year ago

4 0

Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is $3/76$ .

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = $\frac{1}{4}$

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is = Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4 x 3/19

= $3/76$

To learn more, visit the link below:

brainly.com/question/22563776

You might be interested in

I need help it is confusing?????

algol [13]

Answer:

1. 7

2. 15

3. 181

Step-by-step explanation:

Just make sure that you make your denominator a whole number

1. 9.8/1.4....,you multiply by 10...which only removes the comma but it keeps the structure of the question

Always remember that what you do to the denominator...you also do to the numerator

: 9.8/1.4 × 10/10 = 98/14 = 7

2. 40.5/2.7....,you multiply by 10

: 40.5/2.7 × 10/10 = 405/27 = 15

3. 3.62/0.02...., you multiply by 100

: 3.62/0.02 × 100/100 = 362/2 = 181

5 0

2 years ago

Eight less than twice a number is the same as six times the number. Find the number.

xz_007 [3.2K]

Answer:

Step-by-step explanation:

6 0

2 years ago

Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure

Marina CMI [18]

Answer:

a) $P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

b) $P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want this probability:

$P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

4 0

2 years ago

Read 2 more answers

If m< xyz=68 and m Mee!

torisob [31]

Answer:

Angle ZXY = 41 degrees.

Step-by-step explanation:

If WX is parallel to ZY then angle XZY = 71 degrees.

Angle ZXY = 180 - 68 - 71 = 41 degrees.

3 0

2 years ago

HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade

galina1969 [7]

No I’m not I got to los lunas middle school in New Mexico

4 0

1 year ago