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
saw5 [17]
3 years ago
12

The time it takes glyceraldehyde-3-phosphate dehydrogenase to convert aldehyde to carbolic acid follows a normal distribution wi

th a mean of 19 milliseconds and standard deviation of 4.04 milliseconds.
a) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase between 15 milliseconds and 20 milliseconds to convert aldehyde to carbolic acid?
b) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase more than 20 milliseconds to convert aldehyde to carbolic acid?
c) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase less than 15 milliseconds to convert aldehyde to carbolic acid?
Mathematics
1 answer:
balandron [24]3 years ago
4 0

For each probability, transform the normal random variable <em>X</em> with mean 19 and s.d. 4.04 to a standard normal random variable <em>Z</em> with mean 0 and s.d. 1, using the rule

<em>Z</em> = (<em>X</em> - 19) / 4.04

(a) Pr[15 ≤ <em>X</em> ≤ 20] = Pr[(15 - 19)/4.04 ≤ (<em>X</em> - 19)/4.04 ≤ (20 - 19)/4.04]

… ≈ Pr[-0.9901 ≤ <em>Z</em> ≤ 0.2475]

… ≈ Pr[<em>Z</em> ≤ 0.2475] - Pr[<em>Z</em> ≤ -0.9901]

(since <em>Z</em> is a continuous random variable)

… ≈ 0.4367

(b) Pr[<em>X</em> > 20] = Pr[(<em>X</em> - 19)/4.04 > (20 - 19)/4.04]

… ≈ Pr[<em>Z</em> > 0.2475]

… ≈ 1 - P[<em>Z</em> ≤ 0.2475]

(taking the complement probability)

… ≈ 0.4023

(c) Pr[<em>X</em> < 15] = 1 - Pr[15 ≤ <em>X</em> ≤ 20] - Pr[<em>X</em> > 20]

(also taking the complement)

… ≈ 0.1611

You might be interested in
Find the HCF of 750,630 and 18900​
Sever21 [200]
The answer is:
Hcf=150
3 0
2 years ago
Ski resort charges snowboarder fee of $40 plus 8.5 per hour c(t)=__t+_____
Natalija [7]
Your equation would look a lot like this 
c(t) = 8.5t + $40

love, the Pineapple. 
6 0
3 years ago
Which cards are decreasing in value each year?How can you tell?
Ivahew [28]
Look at the slope in each equation.  A neg. slope indicates that the function is decreasing.  A pos. slope:  increasing.
8 0
3 years ago
Score: 0 of 1 pt
marysya [2.9K]

The price of house is $185000.

Step-by-step explanation:

The percentage formula will be used for finding the price of the house

Given

Down payment = $25900

Percentage = 14%

Let x be the price of the home

Then

Down\ payment=14\%\ of\ x\\\\25900=0.14 * x\\\\x = \frac{25900}{0.14}\\\\x =185000

Hence,

The price of house is $185000.

Keywords: Down payment, percentage

Learn more about percentage at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

6 0
3 years ago
Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection?
Vsevolod [243]

Answer:

the x-axis

Step-by-step explanation:

because the only thing that changed was the - number

5 0
3 years ago
Other questions:
  • How to find the measure of all the missing angles
    9·2 answers
  • Please solve and show work! Thanks!
    5·1 answer
  • a girl that is 5 ft tall casts a shadow 4 ft long. At the same time, a tree casts a shadow 24 ft long. How tall is the tree
    15·1 answer
  • Write in standard notation. 6.9 × 10^-3
    8·1 answer
  • Find the first five terms of each sequence an = -2(n-7)
    14·1 answer
  • In a salad recipe, the ratio of carrots to cucumbers must remain constant. The table below shows some possible combinations of c
    12·2 answers
  • A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should di
    6·1 answer
  • Determine the measure of each segment then indicate whether the statements are true or false
    9·1 answer
  • what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6
    15·1 answer
  • Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!