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3 years ago

If p→qp→q, and q→rq→r, then thats all it says

1 answer:

8 0

Answer: then q→r

Explanation:

If p → q

and q →r , then you can use the law of transitivity to conclude

q→r.

That is a basic law of sillogisms.

An example will help you to understand the transivity law:

Make p, stand for 3 > 3/4, q stand for 3/4 > 15 / 20, the you can conclude that 3 > 15 / 20.

3 > 3/4

3 /4 > 15 / 20

Then, 3 > 15 /20.

This is, from the fact that you know that 3 is gretar than 3/4 and that 3/4 is greater than 15/20, you can conclude that 3 > 15 / 20. That is transitivity and is a law of logic, which you can use to get conclusions.

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Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did

Svet_ta [14]

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

$\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }$

Therefore:

$\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}$

Multiply both sides by 8:

$\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}$

Solve for x:

$\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}$

Subtract 184 both sides:

$\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}$

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

7 0

2 years ago

Read 2 more answers

Let f(x)=9−8x‾‾‾‾‾‾√ .Which of the following decompositions of f(x)=p(q(x)) into a pair of functions p(x) (the outside function)

zvonat [6]

Answer:

C, D and E

Step-by-step explanation:

Assuming

f(x) = √(9−8x)

and the options are:

A. p(x) = √(-8x) and q(x)=9+x

B. p(x) = √(9+x) and q(x)=8x

C. p(x) = √(-x) and q(x)=8x−9

D. p(x)=√(9−x) and q(x)=8x

E. p(x)=√x and q(x)=9−8x

F. p(x)=9−8x and q(x)=√x

G. All of the above

H. None of the above

Substituting in f(x)=p(q(x)) we get:

A. √(-8(9+x)) = √(-72 - 8x)

B. √(9+(8x)) = √(9+8x)

C. √(-(8x−9 )) = √(-8x + 9)

D. √(9−(8x)) = √(9−8x)

E. √(9−8x )

F. 9−8(√x ) = 9 - 8√x

8 0

3 years ago

Is my answer correct??

Ivanshal [37]

Answer: Last option.

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

By definition, given a Right triangle, if you draw an altitutde from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you have the Right triangle $EFH$ given in the picture attached.

You can notice that $FG$ goes from the vertex of right angle ( $\angle F=90\°$ ) to the hypotenuse $EH$ . Therefore, it divides the hypotenuse into two segments. These are: