Find y and x values please

For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean

ki77a [65]

Answer:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim N(\mu=?,\sigma=?)$

We are interested on this probability

$P(X>X+3\mu)$

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

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

And we can find the following probablity:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0

2 years ago

Use the reference angles to find the exact value of the expression cot -11 pi/6. Do not use a calculator

laiz [17]

Answer:

$\sqrt{3}$

Step-by-step explanation:

cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)= $\sqrt{3}$ ≈1.73

7 0

2 years ago

Are the answers correct or am I missing some?

AlekseyPX

Well,

Emily received $40.00 and then withdrew $40.00. The final amount would be zero.

Jacoby climbed 782 feet to get to his campsite, and then descended 782 feet to get back to his car. His final change is zero.

The Eagles mad two points, but then the Bulldogs evened it out with another two points. The difference between the two scores would be the same.

Marcus ends up going down more than he goes up, so this is not a correct option.

The Ravens scored two points, but at the end the Raiders scored an additional 5 points, which set both teams to the same score.

Since there are an equal number of protons and electrons, and the protons have the same (but opposite) amount of charge as the electrons, the charges cancel each other out, leaving the atom with a neutral overall charge (0).

8 0

2 years ago

Work out an expression, in terms of x, for the perimeter of the shape. Simplify your answer.

sammy [17]

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

7 0

2 years ago

2 ft

sdas [7]

Answer:

88/7 ft = 12.6 ft (nearest tenth)

Step-by-step explanation:

Circumference of a circle = 2 $\pi$ r

Radius of inner circle

Given:

circumference of inner circle = 22ft
$\pi$ = 22/7

⇒ 22 = 2 x (22/7) x r

⇒ r = 3.5

So the radius of the inner circle is 3.5 ft

Radius of outer circle

If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5

Circumference of outer circle

Therefore, circumference of outer circle:

= 2 x (22/7) x 5.5

= 242/7 ft

Difference between circumferences

Difference = outer circle circumference - inner circle circumference

= 242/7 - 22

= 88/7 ft

= 12.6 ft (nearest tenth)

4 0

1 year ago