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Rashid [163]
3 years ago
15

Solve for r. p = 4r 3t

Mathematics
1 answer:
notsponge [240]3 years ago
8 0
P = 4r + 3t
4r = p - 3t
r = (p - 3t)/4
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Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day
kvv77 [185]

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

<h3>How to calculate the probability distribution?</h3>

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

<h3>Calculation:</h3>

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

Learn more about standard normal distribution here:

brainly.com/question/26822684

#SPJ1

5 0
1 year ago
What properties would you use to find the answer 345+130?
kondaur [170]
Addition property of equality
6 0
3 years ago
Justin likes to get 7 hours of sleep. He woke up after sleeping for 5 1/3 hour. How many more hours does he need to get the amou
Valentin [98]

Answer:

He needs 1 hour 40 minutes more to get the amount of sleep he likes or 1 2/3 hours

Step-by-step explanation:

Justin likes to get 7 hours of sleep.

He woke up after sleeping for 5 1/3 hour = 5 hours 20 mins

Number of more hours needed to get the amount of sleep he likes= 7 hours - 5 1/3 hours.

1 hour = 60 minutes

1/3 hours = 60/3 = 20 minutes

Hours         Minutes

7                     00       when we borrow 1 hour we borrow 60 minutes

<u>5                    20</u>

<u> 1                   40</u>

<u />

He needs 1 hour 40 minutes more to get the amount of sleep he likes

or 1 2/3 hours

8 0
2 years ago
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