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3 years ago

Using the order of operations, what should be done first to evaluate 6+ -8(3)

Mathematics

1 answer:

denis-greek [22]3 years ago

7 0

Answer:

PEMDAS

so, i wold be -8(3) because

multiplication comes before addition

Step-by-step explanation:

Hope this helps ;)

You might be interested in

Simplify the following expression (-8)-(-6)

yulyashka [42]

First : -(-6) will turn into a positive 6
second: -8+6 which equals -2

7 0

2 years ago

What’s the range cuz I can’t find it?

galben [10]

Add all the numbers together. And then divide by the answer you get!

5 0

2 years ago

Grading managers. Some companies "grade on a bell curve" to compare the performance of their managers and professional workers.

Monica [59]

Answer:

$\mu = 250, \sigma = 175.781$

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 grades of a population, and for this case we know the distribution for X is given by:

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

For this case we have two conditions given:

$P(X$

$P(X>475) = 0.1$ or equivalently $P(X$

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

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

So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:

$z= -1.28, z=-1.28$

We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]

And then using the z score we have the following formulas:

$-1.28 = \frac{25 -\mu}{\sigma}$ (1)

$1.28 = \frac{475 -\mu}{\sigma}$ (2)

If we add equations (1) and (2) we got:

$\frac{25 -\mu}{\sigma} + \frac{475 -\mu}{\sigma} =0$

We can multiply both sides of the equation by $\sigma$ and we got:

$25+ 475 -2 \mu = 0$

$\mu = \frac{500}{2}= 250$

And then we can find the standard deviation for example from equation (1) and we got:

$\sigma = \frac{25-250}{-1.28}=175.781$

So then the answer would be:

$\mu = 250, \sigma = 175.781$

3 0

2 years ago

What is the positive slope of the asymptote of (y+11)^2/100-(x-6)^2/4=1? The positive slope of the asymptote is .

VladimirAG [237]

Answer:

the positive slope of the asymptote = 5

Step-by-step explanation:

Given that:

$\frac{(y+11)^2}{100} -\frac{(x-6)^2}{4} =1$

Using the standard form of the equation:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}= 1$

where:

(h,k) are the center of the hyperbola.

and the y term is in front of the x term indicating that the hyperbola opens up and down.

a = distance that indicates how far above and below of the center the vertices of the hyperbola are.

For the above standard equation; the equation for the asymptote is:

$y = \pm \frac{a}{b} (x-h)+k$

where;

$\frac{a}{b}$ is the slope

From above;

(h,k) = 11, 100

$a^2$ = 100

a = $\sqrt{100}$

a = 10

$b^2 =4$

b = $\sqrt{4}$

b = 2

$y = \pm \frac{10}{2} (x-11)+2$

$y = \pm 5 (x-11)+2$

y = 5x-53 , -5x -57

Since we are to find the positive slope of the asymptote: we have

$\frac{a}{b}$ to be the slope in the equation $y = \pm \frac{10}{2} (y-11)+2$

$\frac{a}{b}$ = $\frac{10}{2}$

$\frac{a}{b}$ = 5

Thus, the positive slope of the asymptote = 5

8 0

2 years ago

Solve the following equations for x, if possible. check your solutions. 6/dividex+2 = 3/4

SOVA2 [1]

Solving $\frac{6}{x+2}=\frac{3}{4}$ we get x=6

Step-by-step explanation:

We need to solve $\frac{6}{x+2}=\frac{3}{4}$

Solving:

Cross multiply both terms:

$4*6=3(x+2)\\24=3x+6\\3x=24-6\\3x=18\\x=18/3\\x=6$

Verifying the solution:

Putting x=6 in the question given:

$\frac{6}{x+2}=\frac{3}{4}$

$\frac{6}{6+2}=\frac{3}{4}$

$\frac{6}{8}=\frac{3}{4}$

$\frac{3}{4}=\frac{3}{4}$

Solving $\frac{6}{x+2}=\frac{3}{4}$ we get x=6

Keywords: Solving equations

Learn more about Solving equations at:

#learnwithBrainly

3 0

3 years ago