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
Luden [163]
3 years ago
14

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

al distribution with a mean of 123.8 degrees Fahrenheit and standard deviation of 3.1 deg. F (Weather Source, 2009). What is the probability for a given year that the temperature never exceeds 120 deg. F in a given July in Death Valley? Include leading zero, and state your answer to 3 decimal places.
Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

P(X

And we can find this probability using excel or the normal standard tabe and we got:

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

X \sim N(123.8,3.1)  

Where \mu=123.8 and \sigma=3.1

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using excel or the normal standard tabe and we got:

P(z

You might be interested in
Change 101/22 into a mixed fraction
ss7ja [257]

4 13/22

hope this helps :)

3 0
3 years ago
Is 2 thirds times 5 greater than or less than 5
vfiekz [6]
Less than 5 is your answer
8 0
3 years ago
Read 2 more answers
Divide 794.1 by by 76.1 round off your answer to two decimal places
valentina_108 [34]

Answer:

794.1 ÷ 76.1= 10.4349.54

Round to the nearest whole number = 6

Round to the nearest tenth=5.6

Round to the nearest Hundredths=5.63

Round to the nearest Thousandth=5.635

7 0
3 years ago
HELPPPPPPPPPPPPPPPPPPP
vodka [1.7K]
The angles of all triangles should always sum up to be 180, so knowing this we can solve this problem using the equation x + 3x + 5x - 54 = 180, first we want to combine all our common variables, so we add the x’s together and get 9x - 54 = 180 then we add +54 to both sides so that the x can be by itself and we have 9x = 234, we divide both sides by 9 and get our final answer of x = 26
5 0
3 years ago
the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?
Alisiya [41]

Answer: 28 in.

Step-by-step explanation:

The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.

P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.

8 0
3 years ago
Other questions:
  • Write down two distinct properties between euilateral and isosces triangles.​
    9·2 answers
  • If / and m are parallel, which pairs of angles are congruent
    9·1 answer
  • 68°F, 76°F, 87°F, 54°F, 87°F, 68°F, 76°F, 68°F, 87°F, 54°F
    13·1 answer
  • 5x-29>-34 OR 2x+31<29
    5·2 answers
  • Mitch needs to purchase soft drinks for a staff party. He is trying to figure out if it is cheaper to buy the 12-pack of soda or
    7·2 answers
  • Line p contains points A(-1,4) and B(3,-5) lines q is parallel to line p. Line r is perpendicular to Line q. What is the slip of
    13·1 answer
  • Price of pizza increased from $6 to $9. What is the percent of increase in price?
    11·1 answer
  • Original Price<br> Percent of Discount<br> Sale Price<br> $82<br> $65.60
    5·1 answer
  • Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is
    6·1 answer
  • Hamburger is sold 2 pounds for $4. If Alicia buys 10 pounds of hamburgers, how much will she pay?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!