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
Varvara68 [4.7K]
3 years ago
12

The speed of cars on a stretch of road is normally distributed with an average 51 miles per hour with a standard deviation of 5.

9 miles per hour. What is the probability that a randomly selected car is violating the speed limit of 50 miles per hour?
0.43

0.50

0.51

0.57
Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer: 0.57

Step-by-step explanation:

Given : The speed of cars on a stretch of road is normally distributed .

Population Mean = \mu=51\text{ miles per hour}

Standard deviation : \sigma= 5.9\text{ miles per hour}

Let x be the random variable that represents the speed of cars on a stretch of road .

z-score : z=\dfrac{x-\mu}{\sigma}

For x= 50.

z=\dfrac{50-51}{5.9}\approx-0.17

By using the standard normal distribution table ,

The probability that a randomly selected car is violating the speed limit of 50 miles per hour :-

P(x>50)=1-P(x\leq50)=1-P(z\leq-0.17)\\\\=1- 0.4325051=0.5674949\approx0.57\\

You might be interested in
In an aquarium, the ratio of sharks to dolphins is 3 : 5 and the ratio of
Molodets [167]

Step-by-step explanation:

step 1: how many dolphins

there are 6 sharks

sharks to dolphins is 3 to 5

3 S to 5 D

we can divide 6 (amount of sharks known) by 3, to get what a ratio of 1 is

6 ÷ 3 = 2

so 2 sharks is = 1 part or ratio

now we can times by 5 to get a ratio of 5

5 × 2 = 10

there are 10 Dolphins

Step 2: How many starfish

repeat the steps above but for the ratio 2: 7 where 2 is the Dolfin ratio and there are 10 dolphins

put in questions answer you got

3 0
2 years ago
Read 2 more answers
10.) If a system of equations are dependent what is unique about the lines 2 point
MrRa [10]

Step-by-step explanation:

can we have the picture of the graph?

5 0
3 years ago
You put $550 into your account freshman year. The account was compounded continuously with an interest rate of 4.5%. How much mo
Vera_Pavlovna [14]

Answer:

bight BBC cczgvxgbcztv

8 0
3 years ago
Some Geometry problems I need some help with!
drek231 [11]

Answer:                                                                                

When a 2-D circle is rotated around a line that it does not touch. What is the name of the resulting figure?  

The answer is annulus

A sphere with radius 16 m is cut by a plane though it’s a great circle. What is the best description of the cross section that is shown?

B. A circle with radius 16 m

8 0
3 years ago
What is the integral of y'sinx=ylny ...?
Salsk061 [2.6K]
Y'sinx=ylny, is equivalent to <span>dy / dx (sinx=ylny, and  </span><span>dy sinx=ylny dx
it is similar to dy/</span>ylny = dx/sinx
so integral (dy/ylny = integral dx/sinx) 
integral dx/sinx)= Ln{abs value ( tan(x /2 + pi /4)}
integral (dy/ylny= ln(lny)
final answer is   lny = {abs value ( tan(x /2 + pi /4)}+C, you can find y, or x
3 0
3 years ago
Other questions:
  • Given a right cylinder where h is the height and ris the radius, what does the
    8·1 answer
  • Which of the following mixed numbers is equivalent to 12.1 6 ?
    15·2 answers
  • Simplify:<br><br> (3y)^4 (times) y^-2<br><br> A) 1/2y^2<br> B) 3y^2<br> C) 1/81 y^2<br> D) 81 y^2
    13·2 answers
  • What line is perpendicular to y= 2x - 4
    8·1 answer
  • PLEASE SOMEONE HELP ME PLEASE HELPPPPP!!!!!
    11·1 answer
  • Can i get help on this asap!!!!!!! PLZ
    9·2 answers
  • Find the area of parallelogram and round to the nearest tenth.​
    13·1 answer
  • Suzi needs to open her safe. She has forgotten the code!
    11·1 answer
  • Help pls!! Find the marc GFD
    12·1 answer
  • What is the value of h?<br> h = 20<br> h = 35<br> h= 55<br> h = 70
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!