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2 years ago

Solve for x: 3x − 2 > 5x + 10. (5 points)

Mathematics

1 answer:

velikii [3]2 years ago

5 0

Answer:

Option 2.. x > -6

Step-by-step explanation:

3x -5x - 2 > 5x -5x + 10

-2x - 2 + 2 > 10 + 2

-2x/-2 > 12/-2

x > -6

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According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

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

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

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

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0

3 years ago

Using the quadratic formula to solve 11x²-4x=1 What are The values of X?

Anvisha [2.4K]

$11x^2 - 4x = 1$
$11x^{2} - 4x - 1 = 1 - 1$
$11x^{2} - 4x - 1 = 0$
$x = \frac{-(-4) \± \sqrt{(-4)^{2} - 4(11)(-1)}}{2(11)}$
$x = \frac{4 \± \sqrt{16 + 44}}{22}$
$x = \frac{4 \± \sqrt{60}}{22}$
$x = \frac{4 \± 2\sqrt{15}}{22}$
$x = \frac{2 \± \sqrt{15}}{11}$
$x = \frac{2 + \sqrt{15}}{11}\ \bold{or}\ x = \frac{2 - \sqrt{15}}{11}$

8 0

3 years ago

Read 2 more answers

If i have a 91% in a class and i got a 78% on a test, and the test is 20% of my grade, what will my grade in the class be once t

Serggg [28]

Answer:

98%

Step-by-step explanation:

You add 78 and 20.

Tell me if it is wrong.

Thank you.

7 0