Write the interval {xl-3 < x < 5} as an inequality and using interval notation.

Find the equation of a line that runs through

MAVERICK [17]

Answer:

The equation of a line that runs through (-6,2) and is parallel to a line with a slope of (-1/4) is x + 4y - 2 = 0

Step-by-step explanation:

Slope of the parallel equation is m 1 = (-1/4)

If the two liner are parallel the, slope of both lines are equal.

⇒The slope of the equation of line = m2 = m1 = -(1/4)

The point (x0, y0) = (-6,2)

Now, by THE POINT SLOPE FORMULA: The equation of a line is given as

( y - y0) = m (x -x0)

Now, here the equation of line is given as:

$y - 2 = (\frac{-1}{4}) (x - (-6)) \implies 4(y-2) = -1(x + 6)$

or, 4y - 8 + x + 6 = 0

or, x + 4y - 2 = 0

Hence, the required line equation is x + 4y - 2 = 0

7 0

3 years ago

When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a

k0ka [10]

Answer:

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

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

$X \sim N(32,5)$

Where $\mu=32$ and $\sigma=5$

We want to find this probability:

$P(17$

And we can use the z score formula given by:

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

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

8 0

2 years ago

Sin 0= 8/17 determine the value of tan?

DiKsa [7]

Answer:

tan theta = 8/15

Step-by-step explanation:

Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.

To find the value of the adjacent side from theta, use the Pythagorean Theorem.

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

Subtract 64.

b^2 = 225

Take the square root.

b = 15.

So that means:

the side opposite from theta is 8,

the side adjacent from theta is 15,

the hypotenuse is 17.

Now we take tan, opposite over adjacent, and use the values from the triangle.

tan = opposite / adjacent

tan = 8/15.

4 0

2 years ago

What's 15.23 divided by 5.3 equal step by step !! Help

Natasha_Volkova [10]

Hey there,

Question : What's 15.23 divided by 5.3 equal step by step?

Answer :
15.23 / 5.3 = 2.87358490566
= 2.9
You can use the long division method

Hope this helps :))

~Top♥

3 0

3 years ago

Which point represent the location of the vertex of the

fgiga [73]

Answer:

(4, - 7)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 4)² - 7 ← is in vertex form

with (h, k) = (4, - 7 ) ← vertex

5 0

3 years ago