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
lapo4ka [179]
2 years ago
11

A recent study found that the average length of caterpillars was 2.8 centimeters with a

Mathematics
1 answer:
pogonyaev2 years ago
4 0

Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

\mu = 2.8, \sigma = 0.7.

The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{4 - 2.8}{0.7}

Z = 1.71

Z = 1.71 has a p-value of 0.9564.

1 - 0.9564 = 0.0436.

0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

You might be interested in
A truck is 250 inches long. A car is 35% shorter than the truck. How long is the car
drek231 [11]

Answer:

87.5 inches long

Step-by-step explanation:

250 x 0.35 = 87.5

3 0
3 years ago
Read 2 more answers
Simplify the answer as much as possible​
RSB [31]

Answer:

f(-5)=240

g(-7)=-33

Step-by-step explanation:

1) f(x)=3x^2 - 3x

f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240

2) g(x)=5x + 2

g(-7)= 5×(-7) + 2= -35+2=-33

6 0
2 years ago
A fabric manufacturing company has a fabric that is 36 inches wide. If the company needs 75 sq. yards, how many linear feet does
ICE Princess25 [194]
<span>Since the fabric is 36 in. wide, every 36 linear inches (3 feet =1 yard) makes one square yard. The team needed 75 sq yds, thus 3 x 75 = linear feet</span>
6 0
3 years ago
Read 2 more answers
6.<br> Write in exponential form: log(3)81 = 4
earnstyle [38]

Answer:

81 =  {3}^{4}

Step-by-step explanation:

log_{3}(81)  = 4 \\  \\ 81 =  {3}^{4}

4 0
3 years ago
A rectangular stirp of asphalt paving is 5 meters longer than it is wide. its area is 300 square meters. find the length and wid
kow [346]
Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write
A=L\cdot W=300
Moreover, we know that the length is 5 meters longer than the width:
L=W+5
We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get
(W+5)\cdot W=300
W^2+5W-300=0
which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:
L=W+5=15+5=20
<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following best describes the graph below?
    9·2 answers
  • claudia bought a television at a 25% discount . the original price of the television was $349. there wasa 7% sales tax. how much
    15·1 answer
  • Choose the equation that best fits the following graph.​
    9·1 answer
  • WILL GIVE BRAINLIEST!
    8·1 answer
  • Factorise x(6x - 5y) - 4(6x - 5y)^2
    9·1 answer
  • In an exam a student scored 60 marks out of<br>a possible 80. What percentage is this?<br>?​
    12·1 answer
  • Use the equation √4x+15 - 3√x How many potential solutions are there? ​
    14·1 answer
  • HELP! 10 points! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In fo
    13·1 answer
  • Double checking to see if i'm right!
    14·1 answer
  • In a group of 16 pupils, 1 plays the flute only. 1 plays the piano only. 11 play both instruments. A student is chosen at random
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!