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
ra1l [238]
3 years ago
11

You are planning to take to a trip to Montreal, Canada during the month of April and you want to bring clothing that is appropri

ate for the weather. The daily high temperature X in degrees Celsius in Montreal during April has expected value E(X) = 10.3oC with a standard deviation SD(X) = 3.5oC. You want to convert these Celsius temperatures to oF (degrees Fahrenheit). The conversion of X into degrees Fahrenheit Y is Y = (9/5)X + 32.
1. What is E(Y), the expected daily high in Montreal during April in degrees Fahrenheit?
2. What is SD(Y), the standard deviation of the daily high temperature in Montreal during April in degrees Fahrenheit?
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

1. E(Y) = 50.54°F

2. SD(Y) = 11.34°F

Step-by-step explanation:

We are given that The daily high temperature X in degrees Celsius in Montreal during April has expected value E(X) = 10.3°C with a standard deviation SD(X) = 3.5°C.

The conversion of X into degrees Fahrenheit Y is Y = (9/5)X + 32.

(1) Y = (9/5)X + 32

   E(Y) = E((9/5)X + 32) = E((9/5)X) + E(32)

           = (9/5) * E(X) + 32   {\because expectation of constant is constant}

           = (9/5) * 10.3 + 32 = 50.54

Therefore, E(Y), the expected daily high in Montreal during April in degrees Fahrenheit is 50.54°F .

(2) Y = (9/5)X + 32

    SD(Y) = SD((9/5)X + 32) = SD((9/5)X) + SD(32)

              = (9/5)^{2} * SD(X) + 0  {\because standard deviation of constant is zero}

              = \beacuse (9/5)^{2} * 3.5 = 11.34°F

Therefore, SD(Y), the standard deviation of the daily high temperature in Montreal during April in degrees Fahrenheit is 11.34°F .

You might be interested in
Simplify: 6-8+7-2-8+13
Vikki [24]

Answer:

The answer is 8.

Step-by-step explanation:

6-8+7-2-8+13

= (6 +7 + 13) - (8+2+8)

= 26 - 18

= 8

5 0
3 years ago
Can someone please help me i don’t understand it
forsale [732]

Answer:

d= bv + r

Treat it like you would a normal equation. Multiply by b and add r to isolate d.

5 0
3 years ago
What is the percent error for a measurement of 5 yards?
Ilia_Sergeevich [38]
The percent error is 2%
3 0
2 years ago
Why0.6 is ten time as much as 0.06
weeeeeb [17]
The numbers after the decimal place are represented as 10ths, hundredths, thousandths, and so on. 0.6 is said as "Zero point six tenths." Or "Zero and six tenths."
0.06 is said as "Zero point zero six hundredths." Or "Zero and six hundredths."

5 0
3 years ago
Two cars depart an intersection.
patriot [66]

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

d^2 = 45^2 + 45^2

d = \sqrt{45^2 + 45^2}

d = 63.64

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

4 0
3 years ago
Other questions:
  • Solve the inequality.<br> -x/4 ≤ 2
    10·2 answers
  • 3x= 5+7x solve for x
    11·1 answer
  • Can anyone help me with a CALC problem
    5·1 answer
  • 6x + 1 = 6x - 8 what is the value of x
    9·1 answer
  • A company announces that it will be giving $4,200 of its profits to charity. If the company profits 28,000 what percent will the
    6·1 answer
  • Find a rational number between - 4 and 8 ​
    14·1 answer
  • Sheesh i need help… first to get it right earns the brainliest !!
    13·1 answer
  • Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/
    9·1 answer
  • Keller has $15 from babysitting. He spends $3 on a cat toy and
    9·1 answer
  • Given the following table, determine the matching representations.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!