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joja [24]
3 years ago
14

Mrs. Benjamin analyzed the scores her 24 students earned on their most recent vocabulary test. The results showed a mean score o

f 76 (out of 100), a median score of 80, and a range of 38. Select ALL the statements that can be supported by the data.
A. The lowest score earned by any student was a 38.
B. 50% of the students earned a score of 80 or higher.
C. 25% of the students earned a score of 80 or lower.
D. The highest score earned by any student was a 76.
E. The highest score was 38 points greater than the lower score.
Mathematics
1 answer:
tekilochka [14]3 years ago
3 0
Here are all the possible statements we can gather:

B. 50% of the students earned a score of 80 or higher. 
E. The highest score was 38 points greater than the lower score. (Since range is defined as the difference between the highest number and the lowest number)

Hope my answer has helped.
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Equation of the line (-6,5) and (8,14) in standard form
blsea [12.9K]

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

4 0
3 years ago
PLS help<br> solve for x: -6(2x-5) = 18
Mashutka [201]

Hey!


-6(2x-5) = 18


Switch it around and it becomes:


2x - 5 = 18 \div -6


First find 18 ÷ -6


18 \div -6 = -3

Positive ÷ negative OR negative ÷ positive is always negative.


That leaves you with:


2x - 5 = -3


Switch that around and it becomes:


-3 + 5 = 2x


Find -3 + 5


-3 + 5 = 2


That leaves you with:


2 = 2x


Divide both sides by 2 to leave <em>x</em> alone


\frac{2}{2} =  \frac{2x}{2}


\framebox{x = 1}

4 0
3 years ago
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Damm [24]

Answer:

a) $340

b) $20

Step-by-step explanation:

a) in the summer (July and August) he earned 160 + 180 = $340

b) in July he earned 160 ÷ 8 = $ 20

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2 years ago
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Inessa05 [86]
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6 0
3 years ago
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Maslowich

Answer:

1. A=56.25

Step-by-step explanation:

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