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Georgia [21]
2 years ago
12

A coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18

). A line is drawn from Ping to Ari.
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?
9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue
Mathematics
1 answer:
Scrat [10]2 years ago
4 0

The place where the gym is located based on the information given about the coordinate plane is D. 15th Street and 14th Avenue

<h3>How to illustrate the information?</h3>

From the information given, the coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18) and a line is drawn from Ping to Ari.

In this case, the place where the gym is located based on the information given about the coordinate plane is the 15th Street and 14th Avenue.

The graph is attached to illustrate this.

Learn more about coordinate plane on:

brainly.com/question/10737082

#SPJ1

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Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

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Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

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From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

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