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Finger [1]
3 years ago
6

8) 7(p-6)= 8p - 34 any chance i can get the steps on how to solve this?

Mathematics
1 answer:
yan [13]3 years ago
8 0

Answer:

Step-by-step explanation:

7(p-6)=8p-34

Distribute 7 into the parentheses on the Left Hand Side of the equation

7p-42=8p-34

get p together, so minus 7p on both sides

7p-7p-42=8p-7p-34

7p and -7p cancel out on L.H.S

-42=p-34

isolate p by adding 34 to both sides

-42+34=p-34+34

-34 and postitive 34 cancel out on the R.H.S

p=-8

Hope this helps! :)

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A score of 314 is needed to be in the top 25% of students who take this exam.

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We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.

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where, \mu = national mean score = 289

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Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;

            P(X > x) = 0.25     {where x is the required score}

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In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;

                        \frac{x-289}{37}=0.6745

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3 years ago
I need help with these three problems please​
Liono4ka [1.6K]

Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

34^{2}  =  {x}^{2}  +  {x}^{2}  \\ 2 {x}^{2}  = 1156 \\  {x}^{2}  = 1156 \div 2 \\  {x}^{2}  = 578 \\ x =  \sqrt{578}  \\

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= 4( \sqrt{578} ) \\  = 96.2 ft\:  \:  \: (3 \: s.f.)

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

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Let the altitude of the triangle be x cm.

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4 0
3 years ago
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