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
Vikki [24]
3 years ago
9

The average speed of a car driving down freeway is 70mph with a standard deviation of 5mph. Thid speed is normally distributed.

Find the following.A) what is the probability that a randomly selected car is driving more than 77mph?B) what is probability that a randomly selected car is driving between 65 and 69 mph?C) what is the probability that a randonly selected car is driving between 67 and 77mph?D) what is the probability that a randomly selected car is driving less than 77mph?
Mathematics
1 answer:
ikadub [295]3 years ago
5 0

Answer:

0.081,0.2621,0.645,0.919

Step-by-step explanation:

Let X be the average speed of a car driving down freeway

Given that X is normal with mean as 70mph with a standard deviation of 5mph.

To convert to Z score we do

Z =\frac{x-70}{5}

a)  the probability that a randomly selected car is driving more than 77mph

=P(X>77)\\=P(Z>1.4)\\=0.081

b) probability that a randomly selected car is driving between 65 and 69 mph

= P(-1

c) the probability that a randonly selected car is driving between 67 and 77mph

=P(-0.6

d) the probability that a randomly selected car is driving less than 77mph

=P(Z

You might be interested in
julia spends 2.25 on gas for her lawn mower.she earns 15.00 mowing her neighbors yard.what is julias profit?
Eduardwww [97]
This one is easy all you have to do is subtract the 2.25 by the 15 to get 12.75.
8 0
3 years ago
Read 2 more answers
A sign says that the price mark on all equipment is 30% off the original price. you buy electric guitar for the sale price for 3
Genrish500 [490]
X - (30/100 * x) = 315
X = 450
4 0
3 years ago
Surveys indicate that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner. If there are 500 voters
olya-2409 [2.1K]

<u>Answer:</u>

333 people of ward 5 are going to be voting for Spike Jones.

<u>Solution:</u>

We have been given that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner.  

There are 500 voters in Ward 5.

Since 2/3 of all voters in Ward 5 are voting for Spike Jones the remaining 1/3 will not be voting for him.

To find out how many people in ward 5 are exactly voting for Spike Jones. We need to calculate how much is two thirds of 500 is.

This is done as follows:

\begin{array}{l}{\frac{2}{3} \times 500} \\\\ {=\frac{1000}{3}} \\\\ {=333.334}\end{array}

Since people cannot be denoted in decimal points we have to round it off to a whole number. That’s is 333.

Therefore 333 people of ward 5 are going to be voting for Spike Jones.

4 0
3 years ago
For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that tempera
pishuonlain [190]
C(F) is the degrees Celsius given the degrees Fahrenheit.<span />
4 0
3 years ago
Read 2 more answers
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
grin007 [14]

Answer:

It should be 9 m :)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Plz help me The perimeter of a rectangle is 90ft. the ratio of its length to its width is 8:7. What are the dimensions of the re
    6·1 answer
  • Write 144 students in six classes as a unit rate show work
    9·1 answer
  • Determine the distance between the following two points.
    14·1 answer
  • Which of the following is the Spanish expression for "me too"?
    8·2 answers
  • What is the formula of what is the formula of a square + b square ​
    12·1 answer
  • Can anyone help me please and explain this: Write "60 pounds for $6.60" as a unit rate per ounce to the nearest tenth. 1 pound=
    8·1 answer
  • What is both the x in c with steps please
    12·1 answer
  • What is the slope of the line graphed below? (-1,3) (-2,-1)
    7·2 answers
  • Find the area of the following
    10·1 answer
  • Please help. No links or else I will report you.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!