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CaHeK987 [17]
3 years ago
11

Find the distance between the two points. (3, -3) and (23, - 18) The distance is

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer: 25 units

Step-by-step explanation: The difference between x-values is 23-3 = 20

The difference between y-values is -18 -(-3)= 15

Use the Pythagorean Theorem to find the length of the hypotenuse that completes the imaginary triangle. This is a classic 3-4-5 Pythagorean Triple. The calculated sides are in the ratio of 15:20, multiples of 5. So the remaining side is 5 times 5: 25

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Graph e(x) = √x − 10 .
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How many fluid ounces of water is needed if a recipe requires 2 cups of water
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Kevin Horn is the national sales manager for National Textbooks, Inc. He has a sales staff of 40 who visit college professors al
just olya [345]

Answer:

(a) median = 57

(b) Q1=50     Q3=63.5

(c)D1 = 41   D9=67

(d)P33= 51

Step-by-step explanation:

(a) The numbers are arranged in ascending order, and there are even number of calls. So the median will be the average of the middle terms.

middle terms are 55 and 59

Median = \frac{55+59}{2}

median= 57

(b) First quarter Q1 = \frac{1}{4} number of callsth

=\frac{1}{4} *30th

= 7.5th

so the first quarter lies in the 7.5th= (7+0.5)th term

So we multiply 0.5 by the difference of the 7th and 8th term

=0.5 *0= 0

Q1 = 50+0=50

Q3=\frac{3}{4} number of callsth

=\frac{3}{4} *30th

=22.5th = (22+0.5)th term

So we multiply 0.5 by the difference of the 22th and 23rd term

= 0.5*1=0.5

Q3= 63+0.5=63.5

(c) First decile (D1) = \frac{1}{10} number of callsth

=\frac{1}{10} *30th

= 3rd term

D1= 41

D9= \frac{9}{10} number of callsth

=\frac{9}{10} *30th

  =27th term

D9 = 67

(d) 33rd percentile =\frac{33}{100} number of callsth

=\frac{33}{100} *30th

= 9.9th term = (9 +0.9)th

Multiply 0.9 by the difference between the 9th and tenth term.

= 0.9*0 =0

P33 = 51

8 0
3 years ago
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