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2 years ago

Order of operations

Mathematics

2 answers:

oee [108]2 years ago

4 0

Use the PEMDAS rule. So first do whatever is in the parenthesis. 8 squared is 64 so 65-64 is 1 and 1-2 is -1

dedylja [7]2 years ago

4 0

You would first do 13x5 which equals 65, then you would 8x8 which equals 64, then you would subtract 65-64 which equals 1, finally you would subtract 2-1, which equals 1, im pretty sure im right, but dont be afraid to tell me if im wrong :)

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The graph of a system of inequalities is shown.

dangina [55]

Answer:

The system is

$x+2y \leq -8$

$y> 2x$

Step-by-step explanation:

Part 1

Find the equation of the first inequality

we know that

The first line is a solid line with negative slope passing through the points (-6,-1) and (0,-4)

The slope is equal to

$m=(-4+1)/(0+6)\\m=-0.5$

The equation of the solid line in slope intercept form is

$y=-0.5x-4$

Everything below the line is shaded

The inequality is

$y \leq -0.5x-4$

Convert to standard form

Adds 0.5x both sides

$0.5x+y \leq -4$

Multiply by 2 both sides

$x+2y \leq -8$ -----> First inequality

Part 2

Find the equation of the second inequality

we know that

The second line is a dashed line with positive slope passing through the points (-2,-4) and (0,0)

This line represent a proportional relationship, because the line passes through the origin

The slope is equal to the constant of proportionality

$k=(-4)/(-2)=2$

The equation of the dashed line is

$y=2x$

Everything to the left of the line is shade

The inequality is

$y> 2x$ -----> Second inequality

see the attached figure to better understand the problem

8 0

3 years ago

Read 2 more answers

For the most recent year available, the mean annual cost to attend a private university in the United States was $20,307. Assume

Maksim231197 [3]

Answer:

27,361.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 20307, \sigma = 4275$