Which value of k makes the equation k2=10k2=10 true?20<br> 20<br> 12<br> 8<br> 5

A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was

Rainbow [258]

Answer:

$P(25$

And we can find this probability with this difference:

$P(0$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(0$

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".

Solution to the problem'

Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,6)$

Where $\mu=25$ and $\sigma=6$

We are interested on this probability

$P(25$

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:

$P(25$

And we can find this probability with this difference:

$P(0$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(0$

6 0

2 years ago

A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin

sleet_krkn [62]

Answer:

The probability that they each win six games is 0.225.

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

$P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}$

The probability that they each win six games is k=6.

$P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}$

$P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625$

$P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625$

$P(X=6)=0.225$

Therefore, The probability that they each win six games is 0.225.

3 0

2 years ago

PLEASE HELP!!!

tatyana61 [14]

Answer: The equation is y= -2x -4

Step-by-step explanation:

The slope intercept form is like y=mx+b so we know the slope which is m but we just need to find the y intercept.

and we will use the given coordinates to find the y intercept by putting in the x and y coordinates into the formula y=mx + b

-6= -2(1) + b

-6= -2 + b

+2 +2

b= -4

5 0

2 years ago

Hi can you help me ? what is 0.07 ?

riadik2000 [5.3K]

Answer:

I think it's zero point zero seven.

Step-by-step explanation:

6 0

2 years ago

If m<1=6x+50 and m<2=4x+40 find x

Pepsi [2]

$\text{Adjacent angles on a straight line sum up to 180} \textdegree$

$\text{Therefore }\measuredangle 1 + \measuredangle 2 = 180 \textdegree$

$\text {Since } \measuredangle 1 = 6x+50 \text { and } \measuredangle 2 = x+40$

$(6x+50) + (4x+40) = 180$

$6x+50 + 4x+40 = 180$

$10x+90 = 180$

$10x = 180 - 90$

$10x = 90$

$x = 9$

Answer: x = 9

8 0

2 years ago

Which value of k makes the equation k2=10k2=10 true?20 20 12 8 5