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
Lina20 [59]
3 years ago
13

the monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $12. Find the prob

ability that a randomly selected bill is between $90 to $120
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

0.7493 or 74.93%

Step-by-step explanation:

We are given;

Population mean; μ = 100

Population standard deviation; σ = 12

Sample mean 1; x1¯ = 90

Sample mean 2; x2¯ = 120

Z-score formula of the data given is;

z = (x¯ - μ)/σ

z1 = (90 - 100)/12

z1 = -0.83

z2 = (120 - 100)/12

z2 = 1.67

Since we wan to Find the probability that a randomly selected bill is between $90 to $120.

Thus;

P(90 < x¯ < 120) = P(−0.83 < Z < 1.67)

Probability will be gotten from online probability with 2 z-scores calculator to get;

P = 0.7493

You might be interested in
Calculate the force created from an object with a mass of 1250 grams and an acceleration of 3 m/s^2
abruzzese [7]

The force created by the object is 3.75 Newton.

Given

Mass of the object (m)  = 1250 grams

Convert 1250 grams to kilograms by dividing it by 1000.

Mass (m) = 1.25 kg

Acceleration of the body (a) = 3 m/s^{2}

From Newton's second law we know F= m *a

By Substituting in the above equation we get

Force = 1.25 x 3

Force = 3.75 kg/m /s^{2}

It can also be written as force = 3.75 N

Hence Force created by the body is 3.75 Newton.

To know more about Force refer

brainly.com/question/13191643?referrer=searchResults

8 0
1 year ago
Y=9x-5 in standard form
Mkey [24]
Y equals nine x minus five I’m sorry I don’t know if I did the right thing but yeah
3 0
3 years ago
The force of gravity depends on the distance between objects? true or false​
MrRissso [65]

Answer:

True

Step-by-step explanation:

It depends on two factors :mass of the objects and distance between the objects

hope this will help u

3 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the remainder
victus00 [196]

Answer:

88

Step-by-step explanation:

Given:

(h⁴ + h² – 2) ÷ (h + 3).

We could obtain the remainder using the remainder theorem :

That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).

Using the reminder theorem,

Equate h+3 to 0 and obtain the value of h at h+3 = 0

h + 3 = 0 ; h = - 3

Substituting h = - 3 into (h⁴ + h² – 2) to obtain the remainder

h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88

Hence, remainder is 88

4 0
2 years ago
Ali was paid $75 for mowing a neighbor's yard. This is one fourth the amount of money she earned all summer. How much did Ali ea
Ratling [72]

Answer:

75x4=300

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • BRAINLIEST ONLY ONE QUESTION!!!!!!!!<br><br> 1. What is y?
    5·2 answers
  • Ms.Holmes decided to water her plants.She had 2 1/2 gallons of water.She gave each plant 1/4 gallon of water.Which expression co
    13·1 answer
  • What is the slope of a line that goes through the point (-7,-2) and (-6,7)
    7·1 answer
  • 32 small bags of soil are needed to fill three clay pots how many small bags of soil should be purchased to fill 8 clay pots
    12·1 answer
  • Write a rule for the nth term of the sequence. Use your rule to find a30. –4, 5, 14, 23, 32, . . .
    11·1 answer
  • What 42 rounded to the nearest ten​
    12·1 answer
  • 2. Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditi
    10·2 answers
  • Which of the following lines is not parallel to the graph of y=3x+9?
    7·1 answer
  • The Swiger family recycles about 15 pounds of waste a week. This is 2/5 of the total waste a week. How many pounds of waste does
    13·1 answer
  • What is the greatest common factor of 50, 15, and 10?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!