answer.
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
zepelin [54]
2 years ago
9

If x is a normal random variable with a standard deviation of 10, then 3x has a standard deviation equal to:

Mathematics
1 answer:
kicyunya [14]2 years ago
4 0
Standard deviation(σ_{x}) = √V(X) = 10
Therefore, variance of X. V(X) = 10² = 100

Variance of aX is given by,
V(aX) = a²V(X)

Therefore, variance of 3X will be,
V(3X) = 3²V(X) = 9(100) = 900

Therefore, standard deviation of 3X is,

σ_{3x} = √V(3X) = √900 = 30
You might be interested in
During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
Mazyrski [523]

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

8 0
2 years ago
The equation r = 6t gives the number of albums released, r, by a record label over time in years, t. If you graph this relations
svp [43]
Choices:
(7, 44)
(8, 48)
(9, 52)
(12, 74)
<span>(13, 78)

r = 6t 
(7,44) : r = 6(7) = 42 incorrect 
(8,48) : r = 6(8) = 48 CORRECT
(9,52) : r = 6(9) = 54 incorrect
(12,74) : r = 6(12) = 72 incorrect
(13,78) : r = 6(13) = 78 CORRECT

The points that lie on the resulting line are (8,48) and (13,78)</span>
4 0
2 years ago
Read 2 more answers
Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some brace
lisabon 2012 [21]

Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

The cost is $29 + x*$4.50

where x is the number of bracelets he can buy.

The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

x*$4.50 = $42.50 - $29 = $13.50

x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

8 0
1 year ago
Read 2 more answers
What is the domain and range of the equation y=500(1.08)^x
Marina CMI [18]
(x) is an element of a real number. This means it could be an integer, fraction or irrational number.

* As x approaches infinity, y approaches infinity.

* As x approaches minus infinity, y approaches 0.

-------------

Domain:

(x) is an element of a real number

Range:

y>0
6 0
2 years ago
∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B?
sergiy2304 [10]
As the angles are complementary sin A = cos B and  sin B = cos A

so sin A + sin B =  0.55 + 0.83 =  1.38
4 0
2 years ago
Read 2 more answers
Other questions:
  • To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that
    5·2 answers
  • 11x+5x-65x=-36<br> Porfavor ayuda
    8·1 answer
  • Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equati
    9·2 answers
  • Pediatric asthma survey, n = 50. suppose that asthma affects 1 in 20 children in a population. you take an srs of 50 children fr
    9·1 answer
  • Two random samples of 40 students were drawn independently from two populations of students. Assume their aptitude tests are nor
    11·1 answer
  • A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 6 cm per minute
    9·1 answer
  • Round 472.529996081 to the nearest ten
    12·2 answers
  • Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
    11·2 answers
  • You are signing up for a new gym on New Year's Day. Two gyms memberships have different payment plans. Gym A has a $60 signup fe
    15·1 answer
  • 2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!