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
chubhunter [2.5K]
3 years ago
12

The mean gas mileage for a hybrid car is 57mpg. Suppose that the gasoline mileage is approx normally distributed with a standard

deviation of 3.5mpg. what proportion of hybrids gets over 61mpg?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0
If you have a graphing calculator (such as a TI-84), you can use the normalcdf feature by clicking on the blue "2nd" button, then the "vars" button and then choice 2. Since you are finding the proportion of hybrids that get over 61 mpg, the lower bound is 61, the upper bound is infinity (you can type in 99999), the mean is 57, and the standard deviation is 3.5. So... normalcdf(61,99999,57,3.5) = .1265. This means that 12.65% of the hybrids get over 61 mpg.
You might be interested in
StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout
FinnZ [79.3K]

Answer:

x = 1.25

y = 0

Step-by-step explanation:

Given

4x - 5y = 5

0.08x + 0.10y = 0.10

Required

Determine the solution

Make x the subject of formula in: 4x - 5y = 5

4x  = 5 + 5y

Divide both sides by 4

\frac{4x}{4}  = \frac{5 + 5y}{4}

x = \frac{5 + 5y}{4}

Substitute x = \frac{5 + 5y}{4} in 0.08x + 0.10y = 0.10

0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10

Solve the fraction

0.02(5 + 5y) + 0.10y = 0.10

Open the bracket

0.1 + 0.1y + 0.10y = 0.10

0.1 + 0.2y = 0.10

Subtract 0.1 from both sides

0.1-0.1 + 0.2y = 0.10 - 0.1

0.2y = 0

Divide both sides by 0.2

y =0

Substitute 0 for y in x = \frac{5 + 5y}{4}

x = \frac{5 + 5*0}{4}

x = \frac{5 + 0}{4}

x = \frac{5 }{4}

x = 1.25

5 0
3 years ago
Is the point (2,3) a solution for the inequality y<2x+10
Gnom [1K]
Yes. That point is in the solution space.

_____
You can also figure out algebraically whether the point satisfies the inequality
   y < 2x + 10
Substitute the numbers
   3 < 2·2 + 10
   3 < 14 . . . . . . . . . . . True. (2, 3) is a solution

8 0
3 years ago
¾ + 4y ÷ 3; y = 1 ½ <br> Plz help step by step
suter [353]
Answer: 3/2

Step by step:

3/4 + 4y/3

3/4 + 4y/3 = 4y/3 + 3/4

y= 1 1/2 = 3/2
3 0
3 years ago
You are taxed at a rate of 5% for all online purchases and 8.5% for all in-store purchases. If you pay a total of 40$ in taxes i
Zina [86]
x+y=500
0.05x+0.085y=40&#10;
Multiply both sides of second equation by 20 to getx+1.7y=800
Subtract that from first equation to get 0.7y=300
Divide both sides by 0.7 to get y=428.571, so about $428.57 was spent in store. This leaves 500-428.57=$71.43 that was spent online
4 0
4 years ago
How many solutions does the following have?<br> 1x-5y=15<br> -1+5y=-15
zhannawk [14.2K]
So than there are 

1x -5y =15
-1x +5y = -15 
--------------------assuming term by term we get 
0    0      = 0

so from what result that this system has infinitely many solutions 

hope helped 


3 0
3 years ago
Other questions:
  • I need help on this math worksheet:
    5·1 answer
  • Jacoby says that they
    11·1 answer
  • Compare the linear functions. Which function has the largest y-intercept?
    14·2 answers
  • A to the 3rd +c to the 2nd - 3b if a=-4 b=6 and c=-9
    13·1 answer
  • Increase 70 in ratio 3:2​
    9·2 answers
  • Write an answer solve an equation to solve each problem. the sum of three consecutive integers is 63. Find the integers. If the
    8·1 answer
  • What inequality describes the solutions of 2y less than or equal to 8?
    13·2 answers
  • What is 32/36 simplest form?​
    7·1 answer
  • What is 2- 1/4 <br> Write your answer as a fraction <br> Meh will mark you
    10·2 answers
  • Determine the volume of the tent?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!