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
Scorpion4ik [409]
3 years ago
6

The amount of time Ricardo spends brushing his teeth follows a Normal distribution with unknown mean and standard deviation. Ric

ardo spends less than one minute brushing his teeth about 40% of the time. He spends more than two minutes brushing his teeth 2% of the time. Use this information to determine the mean and standard deviation of this distribution
Mathematics
1 answer:
Papessa [141]3 years ago
7 0
Let X denote the number of minutes spent brushing his teeth, and let \mu be the mean and \sigma the standard deviation for this distribution.

\mathbb P(X

The z-score corresponding to this probability is approximately z=-0.2533, which means

\dfrac{1-\mu}\sigma=-0.2533\iff\mu-0.2533\sigma=1

Next, (note the sign change)

\mathbb P(X>2)=0.02\implies\mathbb P(X\le2)=\mathbb P\left(\dfrac{X-\mu}\sigma\le\dfrac{2-\mu}\sigma\right)=0.98

The corresponding z-score is approximately z=2.0538, so you have

\dfrac{2-\mu}\sigma=2.0538\iff\mu+2.0538\sigma=2

Solving the two equations for \mu and \sigma, you'll find that the mean is approximately \mu=1.1098 and the standard deviation is approximately \sigma=0.4334.
You might be interested in
Write this statement as a conditional statement in the form “if p, then q.”
ss7ja [257]

Answer:

if the measure of an angle is 90°, then the angle is a right angle.

Step-by-step explanation:

p=the measure of an angle is 90°

q=the angle is a right angle

p is the hypothesis of the conditional statement

q is the conclusion of the conditional statement

5 0
2 years ago
Fill in the blanks □+0=3/4.also mention the property used.
Dafna1 [17]

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

3 0
3 years ago
HELPPP NEED IN THE NEXT 10 MINSSS!!!!
Mice21 [21]

Answer:

15.6

Step-by-step explanation:

the traingle is right so u have to apply the pythagorean theorem to find x so x^2=10^2+12^2=244

so x=15.6

6 0
2 years ago
Read 2 more answers
GIVING 100 POINTS
Mekhanik [1.2K]

Answer:

-3x-6<-33 and =3x-65-6

Step-by-step explanation:

8 0
3 years ago
Frank purchased a boat for $7,525. He made a down payment of $475. He applied for a six-year installment loan with an interest r
zhenek [66]

Answer:

$10,603.20

Step-by-step explanation:

You can calculate the simple interest of the loan using the formula:

I = prt, where I = interest, p = principal amount, r = interest rate and t = time.  Plugging in the values from the problem:

p = $7,050

r = 8.4% or 0.084

t = 6 years

I = (7050)(0.84)(6) = $3,553.20

To find the total cost of the boat, add the interest and the purchase price:

$7,525 + $3,553.20 = $11,078.20

8 0
3 years ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=57.30%20-%2042.81" id="TexFormula1" title="57.30 - 42.81" alt="57.30 - 42.81" align="absmiddle
    10·1 answer
  • Find the median of the data in the dot plot below.
    7·2 answers
  • What is f and g answers
    9·1 answer
  • What two numbers multiply gives you -28 and add to get 3
    15·1 answer
  • Explain the step(s) needed to solve 4+ p = 1 and then solve for p
    10·1 answer
  • How is 〖−3〗^4and 〖(−3)〗^4similar and different?
    14·1 answer
  • I’ll give brainliest :))
    6·1 answer
  • What would be an equation for "It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend
    9·1 answer
  • Petra made the following observation:
    13·1 answer
  • Tom and his family went to a restaurant for dinner the bill came to $80 they wanted to leave an %18 tip about how much tip shoul
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!