1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flura [38]
1 year ago
9

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

is distributed normally. Find the probability that a truck drives between 150 and 156 miles in a day. Round your answer to four decimal places.
Mathematics
1 answer:
kvv77 [185]1 year ago
5 0

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

You might be interested in
In the equation a= 3/b is a positive, real number. As the
Igoryamba

Answer:

<h3>The value of a tends to zero</h3>

Step-by-step explanation:

Given the expression a = 3/b

as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;

If b = ∞

a = 3/∞

a = 0

Note that for any constant value a, the ratio a/∞ will always tends to zero

7 0
3 years ago
1. Which of these transformations are isometries? The diagrams are not drawn to scale.
lisov135 [29]

In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.

The transformation can be translation, rotation, reflection, etc.

Let us not use this definition of isometry to answer our question, one at a time.

(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>

(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.

(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>

6 0
3 years ago
An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes m
inessss [21]

Answer:

\mathbf{ 0.6 \times 0.5 = 0.3 }

Step-by-step explanation:

Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.

It is given that P(M) = 0.6

Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event D | M^{c} (D given M does not occur) is a null event, i.e

P(D|M^{c}) = 0

It is also given that,

P(D|M) = 0.5

Recall that : P(D|M) = \frac{P(D \cap M)}{P(M)}

Here, we are required to find P(D \cap M)

P(D \cap M) =P(D|M) \times P(M)= 0.5 \times 0.6 = 0.3

7 0
3 years ago
What’s the radius of a circle with the circumference of 37.68 feet
Lina20 [59]

Answer:

r≈6ft

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=37.68

2·π≈5.99696ft

pls mark as brainliest

7 0
3 years ago
Pls help with this!! no wrong answers pls
Juliette [100K]

Answer:

x = 40

Step-by-step explanation:

180 = 100 + x +x

180-100= 2x

80 = 2x

x = 40

4 0
2 years ago
Other questions:
  • the total cost of a bus ride and a ferry ride is $8.00. in one month, bus fare will increase by 10% and ferry fare will increase
    7·1 answer
  • Galactic Rotation Speed. We are located about 27,000 light-years from the galactic center and we orbit the center about once eve
    6·1 answer
  • ∠UVW<br> and ∠XYZ<br> are complementary angles, m∠UVW=(x−10)º<br> , and m∠XYZ=(4x−10)º<br> .
    8·1 answer
  • What is the slope of the line that passes through the points (−4,8) and (-14, 8) ? answer inn simplest form
    14·1 answer
  • A group of friends ordered 3 burgers and 3 medium fries for a total of $17.55
    11·2 answers
  • 910÷(−65) i don't understand
    14·1 answer
  • What is the value of X in these figures?
    5·1 answer
  • Ned almost didn’t join the gold rush of 1849. yes, he wanted to find gold, but he worried about leaving all his friends behind.
    9·2 answers
  • Kala drove 819 miles in 13 hours.
    5·1 answer
  • The angle of depression from a helicopter to a landing pad is 37 ° . If the helicopter is 1250 feet from the ground, what is the
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!