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3 years ago

I need help ASAP looks at the photo

Mathematics

1 answer:

Evgen [1.6K]3 years ago

5 0

Answer:

Step-by-step explanation:

divide both sides by 2 to get x+1=3

use the distributive propriety to get 2x+2=6

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The probability of picking a orange marble it 30%

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3 years ago

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Please help me with my homework

Alona [7]

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3 years ago

Which classification correctly describes the polygon?

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3 years ago

Is -12/6 a rational number?

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3 years ago

The speed at which cars travel on the highway has a normal distribution with a mean of 60 km/h and a standard deviation of 5 km/

oee [108]

The z-score of the speed value gives the measure of dispersion of the from

the mean observed speed.

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

The given parameters are;

The mean of the speed of cars on the highway, $\overline x$ = 60 km/h

The standard deviation of the cars on the highway, σ = 5 km/h

Required:

The probability that the speed of a car is between 63 km/h and 75 km/h

Solution;

The z-score for a speed of 63 km/h is given as follows;

$Z=\dfrac{x-\bar x }{\sigma }$

Which gives;

$Z=\dfrac{63-60 }{5 } = 0.6$

From the z-score table, we have;

P(x < 63) = 0.7257

The z-score for a speed of 75 km/h is given as follows;

$Z=\dfrac{75-60 }{5 } = 3$

Which gives, P(x < 75) = 0.9987

The probability that the speed of a car is between 63 km/h and 75 km/h is therefore;

P(63 < x < 75) = P(x < 75) - P(x < 63) = 0.9987 - 0.7257 = 0.273

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

Learn more here:

brainly.com/question/17489087

7 0

2 years ago