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
NISA [10]
2 years ago
7

Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati

ve low-calorie sweetener. In Plant Science (May 2010), a group of Japanese environmental scientists inves- tigated the ability of a hybrid tomato plant to produce mi- raculin. For a particular generation of the tomato plant, the amount x of miraculin produced (measured in micrograms per gram of fresh weight) had a mean of 105.3 and a stan- dard deviation of 8.0. Assume that x is normally distributed. a. Find P1x 7 1202. .0331 b. Find P1100 6 x 6 1102. .4677 c. Find the value a for which P1x 6 a2
Mathematics
1 answer:
telo118 [61]2 years ago
3 0

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(x > 120)

P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)

= 1 - P(z \leq 1.8375)

Calculation the value from standard normal z table, we have,  

P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%

b) P(x between 100 and 110)

P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%

P(100 \leq x \leq 110) = 46.8\%

c) P(x < a) = 0.25

P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25

Calculation the value from standard normal z table, we have,  

P( z \leq -0.674) = 0.25

\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100

You might be interested in
A recipie calls for 2 2/4 cups of raisins, but julie only has a 1/4 cup measuring cup. How many 1/4 cups does julie need to meas
scZoUnD [109]

Answer:

10 cups

Step-by-step explanation:

1/4 cup times 4 is 1 cup

1/4 cup times 8 is 2 cups

now you have your two cups and you need two more 1/4 to make 2/4

3 0
2 years ago
How do I do this?need help​
Lelu [443]
I have no clue at all
8 0
2 years ago
Find the value of x that makes m ∥ n
AURORKA [14]
Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20
5 0
3 years ago
Read 2 more answers
PLEASE HURRY WILL GIVE YOU MY ACCOUNT AND BRAINLIEST IF YOU ANSWER CORRECTLY
marishachu [46]

Answer:

A, D, E

Step-by-step explanation:

5 0
3 years ago
Which one? Do i chose
Georgia [21]

Answer:

226 inches cube

Step-by-step explanation:

The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.

7 0
2 years ago
Read 2 more answers
Other questions:
  • In a smoking cessation program, over 2000 smokers who were trying to quit were randomly assigned to either a group program or an
    15·1 answer
  • The donaldson furniture company produces three types of rocking​ chairs: the​ children's model, the standard​ model, and the exe
    5·1 answer
  • A physics test is normally distributed. The class average was 79.3, and the standard deviation was 7.5. What percent of students
    5·1 answer
  • Can you give me an equation that equals to 31
    15·2 answers
  • A CD has a 5% chance of being a smash hit and profiting $5.2 million, a 50% chance of being a modest success and profiting $0.9
    15·1 answer
  • Need help with this problem, please. The sum of three numbers is -3. The last number is three times the first. The last number i
    12·2 answers
  • Which of the following transformations affect the y-values of a function? (Check all that apply)
    13·2 answers
  • A Ferris wheel has a diameter of 80 meters. They want to make circular sign all over the inside surface of the wheel." For this
    14·1 answer
  • Help please asap i will give brainlist
    15·1 answer
  • 2 over 6 = Y over 9 Fraction equation is required
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!