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
Stolb23 [73]
3 years ago
9

Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gall

ons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places
Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer:

0.057168

Step-by-step explanation:

Given :

Mean = 1510

Standard deviation = 57

P(X > 1600)

To obtain the Zscore we use

(x - mean) / σ

P(Z > 1600) = P(Z > (x - mean) / σ)

P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)

P(Z > 1.579) = 0.057168 (Z probability calculator)

You might be interested in
Verify the trigonometric identities
snow_lady [41]
1)

here, we do the left-hand-side

\bf [sin(x)+cos(x)]^2+[sin(x)-cos(x)]^2=2
\\\\\\\
[sin^2(x)+2sin(x)cos(x)+cos^2(x)]\\\\+~ [sin^2(x)-2sin(x)cos(x)+cos^2(x)]
\\\\\\
2sin^2(x)+2cos^2(x)\implies 2[sin^2(x)+cos^2(x)]\implies 2[1]\implies 2

2)

here we also do the left-hand-side

\bf \cfrac{2-cos^2(x)}{sin(x)}=csc(x)+sin(x)
\\\\\\
\cfrac{2-[1-sin^2(x)]}{sin(x)}\implies \cfrac{2-1+sin^2(x)}{sin(x)}\implies \cfrac{1+sin^2(x)}{sin(x)}
\\\\\\
\cfrac{1}{sin(x)}+\cfrac{sin^2(x)}{sin(x)}\implies csc(x)+sin(x)

3)

here, we do the right-hand-side

\bf \cfrac{cos(x)-sin^2(x)}{sin(x)+cos^2(x)}=\cfrac{csc(x)-tan(x)}{sec(x)+cot(x)}
\\\\\\
\cfrac{csc(x)-tan(x)}{sec(x)+cot(x)}\implies \cfrac{\frac{1}{sin(x)}-\frac{sin(x)}{cos(x)}}{\frac{1}{cos(x)}-\frac{cos(x)}{sin(x)}}\implies \cfrac{\frac{cos(x)-sin^2(x)}{sin(x)cos(x)}}{\frac{sin(x)+cos^2(x)}{sin(x)cos(x)}}
\\\\\\
\cfrac{cos(x)-sin^2(x)}{\underline{sin(x)cos(x)}}\cdot \cfrac{\underline{sin(x)cos(x)}}{sin(x)+cos^2(x)}\implies \cfrac{cos(x)-sin^2(x)}{sin(x)+cos^2(x)}
8 0
3 years ago
Find the equation of the circle that satisfies the given conditions. radius 4 and center (3, -1)?
dmitriy555 [2]
<span> the equation of this circle is (x - 3)² + (y + 1)² = 4²</span>
5 0
3 years ago
Help please and im writing this since it needs 20 characters
Marat540 [252]

Answer:

65% !

Step-by-step explanation:

Plz mark as brainliest!

5 0
3 years ago
Can someone please help me with these questions?
Dmitrij [34]

Expanded form is writing out everything and no simplifying.

A. c times c

B. t times t times t times t  

C. 2 times x times x times x  

D. 4 times 4 times h times h

E. 2 times 2 times 2 times l times l times l

F. a times a times a + 7 times b times b

Hope this helps :)

8 0
3 years ago
The perimeter of a rectangular outdoor patio is 60 ft. the length is 4 ft greater than the width. what are the dimensions of the
Charra [1.4K]
Lengeth is 24 and with is 7 
4 0
2 years ago
Other questions:
  • The average time a boulder high varsity lacrosse player plays in a game is 30 minutes with a standard deviation of 7 minutes. no
    8·1 answer
  • Help!!! Will give brainliest to correct answer.....
    7·1 answer
  • Souta wants to compare the mean of his test scores in French class to the mean absolute deviation,
    7·1 answer
  • 9*7/10=____*_____=______=
    11·1 answer
  • Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to
    9·1 answer
  • When two lines have different slopes, the graphs of the equations are _________
    13·1 answer
  • 1. Jefferson drew a line 9.5 inches long. Brittany drew a line 10 times as long. What is the difference in length between the tw
    5·2 answers
  • People leaving the library were asked how many books they checked out that
    15·1 answer
  • The price of one gallion of heating oil $2.589. Which is this number rounded to the nearest penny A $2.50 a $2.59 c $2.70 $3.00​
    11·1 answer
  • A point in Quadrant I has all negative values
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!