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Paul [167]
3 years ago
8

I need help with how to solve this problem. It is #14. It already shows the answer (1point) but I need help on how to get there

please.

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer:

Option 4: 0.554

Step-by-step explanation:

As we can see that the intervals and their frequencies are given.

We have to calculate the probability of students' score falling between 70 and 89. It will use the frequency of both intervals 70-79 and 80-89.

So, combined scores of both intervals are:

172+105 = 277

Now to find the probability

= 277/500

=0.554

So option no 4 is the correct answer ..

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P (6,6) y=2/3x
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Answer:

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Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

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We need to find the equation of the line perpendicular to the given line that contains P

Solution:

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y = \frac{2}{3}x

Now, we compare the given equation by standard form y = mx +c

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We know that the slope of the perpendicular line m_{1}\times m_{2}  = -1

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So, the slope of the perpendicular line m_{2}=-\frac{3}{2}

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

y=mx+c

Substitute point P(x_{1}, y_{1})=P(6, 6) and m = m_{2}=-\frac{3}{2}

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6=-3\times 3 +c

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So, the y-intercept of the perpendicular line c=15

Using point slope formula.

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y = -\frac{3}{2}x+15

Therefore: the equation of the perpendicular line y = -\frac{3}{2}x+15

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