Solve the system of equations.<br> 2x + 2y = -16<br> y = -x -8

The width of a rectangle is 10cm less than the length. If the perimeter is 52, what

Semenov [28]

Answer:

hope this will help you

please mark me brain list pleas please

5 0

2 years ago

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

Which binomial is a factor of 49x2 + 84 xy + 36y2?

bezimeni [28]

Answer:

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

Step-by-step explanation:

Given expression is $49x^2+84xy+36y^2$

To find the binomial factor :

$49x^2+84xy+36y^2$

Rewritting the above expression as

$=7^2x^2+2(7)(6)xy+6^2y^2$

$=(7x)^2+2(7x)(6y)+(6y)^2$

$=(7x+6y)^2$ ( using the formula $=(a+b)^2=a^2+2ab+b^2$ here a=7x and y=6y )

$=(7x+6y)(7x+6y)$ ( using the formula $=(a+b)^2=(a+b)(a+b)$ )

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

7 0

2 years ago

M<5=? what’s it equal

WINSTONCH [101]

Answer:

<8

Step-by-step explanation:

They are the same angle degree.

5 0

2 years ago

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Leona [35]

Answer : 424.875 miles

The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.

To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).

This gives you the answer of 424.875 miles.

4 0

2 years ago

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Solve the system of equations. 2x + 2y = -16 y = -x -8