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3 years ago

Evaluate - 24-(-18) = 6.

Mathematics

1 answer:

likoan [24]3 years ago

4 0

Answer:

False

Step-by-step explanation:

-24-(-18) is -6 not 6 so it would be untrue

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Let p(x) = x3 and q(x) = x + 5. If p(q(x)) and q(p(x)) are shown on the graph, which statements are true? Check all that apply.

liraira [26]

Answer:

answer is B D E

Step-by-step explanation:

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3 years ago

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Solve the equation 5y-6=10

BaLLatris [955]

Answer:

y = 3.2

Step-by-step explanation:

Simplifying

5y + -6 = 10

Reorder the terms:

-6 + 5y = 10

Solving

-6 + 5y = 10

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5y = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 5y = 10 + 6

5y = 10 + 6

Combine like terms: 10 + 6 = 16

5y = 16

Divide each side by '5'.

y = 3.2

Simplifying

y = 3.2

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2 years ago

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What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

Method 1:

Using regression analysis the line of best fit is: $y=\alpha +\beta x+e$

Here α = intercept, β = slope and e = error.

The formula to compute the intercept is:

$\alpha =\bar y-\beta \bar x$

Here $\bar y$ and $\bar x$ are mean of the y and x values respectively.

$\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}$

The formula to compute the slope is:

$\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}$

And the formula to compute the error is:

$e=y-\alpha -\beta x$

Method 2:

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

$(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)$

Here r = correlation coefficient = $r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }$

$\sigma_{x}$ and $\sigma_{y}$ are standard deviation of x and y respectively.

$\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}$

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3 years ago

How does knowing the slope and y-intercept help you graph and write the equation of a line?

IgorLugansk [536]

Answer:

It allows to to know y-intercept formula which is used to graph a line.

Step-by-step explanation:

Y-intercept formula:

y=mx+b

M: slope (keep in fraction if it is fraction, to help you graph)

B: y-interecept

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3 years ago

Hank estimated the width of the door to his classroom in feet. What is a reasonable estimate?

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3 feet by eight feet

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3 years ago