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
Blababa [14]
2 years ago
5

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is

normally distributed with a mean of 50 miles and a standard deviation of 8 miles. Find the z-score, to two decimal places and probability, two four decimals, of the following events: A. The car travels more than 53 miles per gallon. ZZ = PP = B. The car travels less than 42 miles per gallon. ZZ = PP = C. The car travels between 44 and 55 miles per gallon. Z1Z1 = Z2Z2 = PP =
Mathematics
1 answer:
Vladimir79 [104]2 years ago
8 0

Answer:

Step-by-step explanation:

Since the distance travelled on 1 gallon of fuel is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the distance travelled.

µ = mean distance

σ = standard deviation

From the information given,

µ = 50 miles

σ = 8 miles

A) P(x > 53) = 1 - P(x ≤ 53)

For x = 53,

z = (53 - 50)/8 = 0.38

Looking at the normal distribution table, the probability value corresponding to the z score is 0.648

B) P(x < 42)

For x = 42

z = (42 - 50)/8 = - 1

Looking at the normal distribution table, the probability value corresponding to the z score is 0.1587

C) P(44 ≤ x ≤ 53)

For x = 44

z = (44 - 50)/8 = - 0.75

Looking at the normal distribution table, the probability value corresponding to the z score is 0.2266

For x = 55,

z = (55 - 50)/8 = 0.63

Looking at the normal distribution table, the probability value corresponding to the z score is 0.7357

Therefore,

P(44 ≤ x ≤ 53) = 0.7357 - 0.2266 = 0.5091

You might be interested in
An airplane is at 32,000 ft above sea level and descends at an average rate of 1,000 ft per minute. How many minutes will it tak
slavikrds [6]
29 minutes-  at a rate of 1,000 feet a minute, it would take 32 minutes to reach sea level (32,000/1000=32)but if you subtract 3000 from 32000 to remain 3000 feet above sea level, you have 29000 feet to descend which will take 29 minutes

4 0
3 years ago
Read 2 more answers
A gardener is planting two types of trees:
lara [203]

It will take exactly 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

  • Type A is 3 feet tall and grows at a rate of 7 inches per year
  • Type B is 5 feet tall and grows at a rate of 1 inches per year

We need to find in how many years it will take for these trees to be the

same height

Assume that it will take x years for these trees to be the same height

The height of a tree = initial height + rate of grow × number of years

Type A:

∵ The initial height = 3 feet

∵ 1 foot = 12 inches

∴ The initial height = 3 × 12 = 36 inches

∵ The rate of grows = 7 inches per year

∵ The number of year = x

∴ h_{A} = 36 + (7) x

∴ h_{A} = 36 + 7 x

Type B:

∵ The initial height = 5 feet

∴ The initial height = 5 × 12 = 60 inches

∵ The rate of grows = 1 inches per year

∵ The number of year = x

∴ h_{B} = 60 + (1) x

∴ h_{B} = 60 + x

Equate h_{A} and h_{B}

∴ 36 + 7 x = 60 + x

- Subtract x from both sides

∴ 36 + 6 x = 60

- Subtract 36 from both sides

∴ 6 x = 24

- Divide both sides by 6

∴ x = 4

∴ The two trees will be in the same height in 4 years

It will take exactly 4 years for these trees to be the same height

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

3 0
3 years ago
Jasmine and Scott want to chart their reading rates to see how much they improve each quarter. Below are the results of their fi
Studentka2010 [4]

Answer:

a) 120 words per minute

b) 130 words per minute

Step-by-step explanation:

A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.

a) Jasmine can read 120 words per minute

Jasmine reading unit rate = total number of words read / time taken

Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute

b) It takes Scott one minute to read 130 words

Scott reading unit rate = total number of words read / time taken

Scott reading unit rate = 130 words / 1 minute = 130 words per minute

8 0
2 years ago
Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?
3241004551 [841]
Gary car will use 18 miles/gallons
7 0
3 years ago
Help plz:)))I’ll mark u Brainliest
rodikova [14]

Answe

Step-by-step explanation:

The interior angles of a triangle add up to 180. We know from the photo that there is a 90° angle and an 18° angle, and 90-18 is 72, so the other interior angle is 72°. The question is asking you to find the value of side x, so you'll need to use sin.

sin (72°) = x/16

x ≈ 15.2

4 0
3 years ago
Other questions:
  • Plz help me with this question thanks
    6·1 answer
  • The diameter of a bowling ball is 12.57 centimeters. What is this value rounded to the nearest tenth of a centimeter?
    14·2 answers
  • Whats the value of 5y if -2(3y+5)=-4
    13·2 answers
  • Jim used his debit card to withdraw $35 from the ATM. Then, he wrote a check for $8.00. Which equation represents the total amou
    12·2 answers
  • -5r + 2 - 7 + 3k use r= 3 and k=6
    15·2 answers
  • The sum of -32+(-17)+42
    5·2 answers
  • One reason to check a solution in the original equation is the
    9·1 answer
  • Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or inte
    5·1 answer
  • 4 an exterior angle of the triangle. Which of the<br> following is true?
    10·2 answers
  • HElP mE wItH tHiS pLeAsE
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!