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ki77a [65]
2 years ago
15

Use the Distance Formula to find the distance between (13, 1) and (9,- 4), rounded to the nearest hundredth.

Mathematics
1 answer:
valina [46]2 years ago
4 0

Answer:

  about 6.40 units

Step-by-step explanation:

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the given points, the distance between them is ...

  d = √((9 -13)^2 +(-4-1)^2) = √((-4)^2 +(-5)^2) = √(16 +25)

  d = √41 ≈ 6.40

The distance between the points is about 6.40 units.

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Answer:

1300

Step-by-step explanation:

Given that :

Number of sections = 8

Number of seats per section, x ;

150 ≤ x ≤ 200

The possible Number of seats in the auditorium :

Number of seats per section * number of sections

150 * 8 ≤ x ≤ 200 * 8

1200 ≤ x ≤ 1600

The possible Number of seats will lie within 1200 and 1600

From the options, only 1300 lie within this range

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3 years ago
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approxima
Elina [12.6K]

Answer: -3,0.59,3.41

Step-by-step explanation:

5 0
2 years ago
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Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number
zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

A.

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

B.

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

C.

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

D.

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36  

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.

7 0
3 years ago
Easy math question Help this is due today
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Answer:

Use the pythagorean theorem to solve.

Step-by-step explanation:

2^{2}+3^{2}=c^2\\4+9=c^2\\13=c^2\\\\\\sqrt{13} =\sqrt{c^2}

The square root and the square cancel out. Then your answer will be the square root of 13 or 3.60555127546. Since the instructions say to round to 2 places we will do so. 3.61 meters is the length of the slide

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3 years ago
Alicia drove 265 miles in 5 hours What is the average rate that she traveled 49 miles per hour 51 miles per hour 53 miles per ho
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265 / 5 = 53 miles per hr
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