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3 years ago

For the straight line defined by the points (3, 59) and (5, 87), determine the slope and y-intercept. do not round the answers.

1 answer:

4 0

(3,59)(5,87)
slope = (87 - 59) / (5 - 3) = 28/2 = 14 <== ur slope

y = mx + b
slope(m) = 14
use either of ur points...(3,59)...x = 3 and y = 59
now we sub and find b, the y int
59 = 14(3) + b
59 = 42 + b
59 - 42 = b
17 = b <=== ur y int (0,17)

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3 years ago

81 is 37.5% of what number?

laila [671]

Hi,

81 is 37.5% of 216.

"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 37.5, so we can write it down as 100%=37.5.

4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.

5. Now we have two simple equations:

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where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=37.5/81

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100%/x%=37.5/81

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3 years ago

Fifty pro-football rookies were rated on a scale of 1 to 5, based on performance at a training camp as well as on past performan

son4ous [18]

Answer:

(a-1) 22 rookies receiving a rating of 4 or better.

(a-2) 14 rookies received a rating of 2 or worse.

(b-1) Constructed below in explanation.

(b-2) 8% of total rookies received a rating of 5.

Step-by-step explanation:

We are provided the rating of Fifty pro-football rookies on a scale of 1 to 5 based on performance at a training camp as well as on past performance.

The frequency distribution constructed is given below:

Rating Frequency

1 4

2 10 where ranking of 1 indicate a poor prospect whereas

3 14 ranking of 5 indicate an excellent prospect.

4 18

5 4

(a-1) Rookies receiving a rating of 4 or better = Rating of 4 + Rating of 5

So, by seeing the frequency distribution 18 rookies received a rating of

4 and 4 rookies received a rating of 5.

Hence, Rookies receiving a rating of 4 or better = 18 + 4 = 22 rookies.

(a-2) Number of rookies received a rating of 2 or worse = Rating of 2 +

Rating of 1

So, by seeing the frequency distribution 10 rookies received a rating of

2 and 4 rookies received a rating of 1.

Hence, Rookies receiving a rating of 2 or worse = 10 + 4 = 14 rookies.

(b-1) Relative Frequency is calculated as = Each frequency value /

Total Frequency

Rating Frequency(f) Relative Frequency

1 4 4 / 50 = 0.08

2 10 10 / 50 = 0.2

3 14 14 / 50 = 0.28

4 18 18 / 50 = 0.36

5 4 4 / 50 = 0.08

$\sum f$ = 50

Hence, this is the required relative frequency distribution.

(b-2) To calculate what percent received a rating of 5 is given by equation :

x% of 50 = 4 {Here 4 because 4 rookies received rating of 5}

x = $\frac{4*100}{50}$ = 8% .

Therefore, 8% of total rookies received a rating of 5.

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4 years ago

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Answer:

(3,4)

Step-by-step explanation:

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3 years ago