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Rom4ik [11]
3 years ago
12

ILL GIVE BRANILEST PLEASE HELP!

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

x=60^{\circ}

Step-by-step explanation:

The angle formed by 48+x and the angle marked as 72^{\circ} are co-interior angles and therefore must be supplementary (add up to 180 degrees).

Therefore, we have:

48+x+72=180,\\x+120=180,\\x=\boxed{60^{\circ}}

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Consider the continuous random variable x, which has a uniform distribution over the interval from 110 to 150. The probability t
Virty [35]

Answer:

The probability that x will take on a value between 120 and 125 is 0.14145

Step-by-step explanation:

For uniform distribution between a & b

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For 110 and 150,

Mean, xbar = (150 + 110)/2 = 130

Standard deviation, σ = √((150-110)²/12 = 11.55

To find the probability that x will take on a value between 120 and 125

We need to standardize 120 & 125

z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87

z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43

P(120 < x < 125) = P(-0.87 < x < -0.43)

We'll use data from the normal probability table for these probabilities

P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145

Hope this Helps!!!

3 0
3 years ago
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