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3 years ago

Determine the slope giving a table of line values.

Mathematics

1 answer:

kicyunya [14]3 years ago

4 0

Answer:

The slope is easy to find, just take 4 numbers. 10-2/-12-5 = 5.16666667 rounded to the nearest whole number is 6. So, your slope is 6.

Step-by-step explanation:

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What is the solution to 3/4b=8

soldier1979 [14.2K]

Answer:

$b=\frac{32}{3}$

Step-by-step explanation:

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

Multiply both sides by 4:

$4\times \frac{3}{4}b=8\times4$

$3b=32$

Divide both sides by 3:

$\frac{3b}{3}=\frac{32}{3}$

$b=\frac{32}{3}$

6 0

3 years ago

Solve and graph the inequality on a number line: −19 > g − 24

Phantasy [73]

Answer:

5 >g

Open circle at 5 line going to the left

Step-by-step explanation:

−19 > g − 24

Add 24 to each side

−19+24 > g − 24+24

5 >g

Open circle at 5 line going to the left

5 0

3 years ago

A college sends a survey to members of the class of 2012. Of the 1254 people who graduated that year, 672 are women, of whom 124

Svetllana [295]

Answer:

a) $P(F) = \frac{672}{1254}=\frac{112}{209}=0.536$

b) $P(M) = \frac{582}{1254}= \frac{97}{209}=0.464$

c) $P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815$

Step-by-step explanation:

For this case we have a total of 1254 people. 672 are women and 582 are female.

We know that 124 women wnat on to graduate school.

And 198 male want on to graduate school

We can define the following events:

F = The alumnus selected is female

M= The alumnus selected is male

A= Female and attend graduate school

And we can find the probabilities required using the empirical definition of probability like this:

Part a

$P(F) = \frac{672}{1254}=\frac{112}{209}=0.536$

Part b

$P(M) = \frac{582}{1254}= \frac{97}{209}=0.464$

Part c

For this case we find the probability for the event A: The student selected is female and did attend graduate school

$P(A) =\frac{124}{672}=\frac{31}{168}=0.185$

And using the complement rule we find P(A') representing the probability that the female selected did not attend graduate school like this:

$P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815$

4 0

3 years ago

I need help solving this problem

zloy xaker [14]

9514 1404 393

Explanation:

When something is subtracted from both sides of the equation, the justification is the subtraction property of equality. When something multiplies both sides of the equation, the justification is the multiplication property of equality. (This should not be a mystery.)

Here, the equation is solved by subtracting 17/3, then subtracting 1/2x, then multiplying by the inverse of the coefficient of x. After each of these steps is a simplification.

$\begin{array}{cc}\dfrac{17}{3}-\dfrac{3}{4}x=\dfrac{1}{2}x+5&\text{given}\\\\\dfrac{17}{3}-\dfrac{3}{4}x-\dfrac{17}{3}=\dfrac{1}{2}x+5-\dfrac{17}{3}&\text{subtraction property ...}\\\\-\dfrac{3}{4}x=\dfrac{1}{2}x-\dfrac{2}{3}&\text{simplify}\\\\-\dfrac{3}{4}x-\dfrac{1}{2}x=\dfrac{1}{2}x-\dfrac{2}{3}-\dfrac{1}{2}x&\text{subtraction property ...} \end{array}$

$\begin{array}{cc}-\dfrac{5}{4}x=-\dfrac{2}{3}&\text{simplify}\\\\-\dfrac{5}{4}x\times-\dfrac{4}{5}=-\dfrac{2}{3}\times-\dfrac{4}{5}&\text{multiplication property ...}\\\\x=\dfrac{8}{15}&\text{simplify} \end{array}$

4 0

3 years ago

Write the decimal as a fraction or mixed number in simplest form. 5.22

fredd [130]

Answer:

5 11/50

Step-by-step explanation:

i used an online calculator and thats what it said

8 0

3 years ago

Read 2 more answers