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
iris [78.8K]
2 years ago
11

A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i

s 19 inches with a standard deviation of 2.3 inches. Assume the distribution of diameters is roughly mound-shaped. (a) What fraction of the trees will have diameters between 14.4 and 25.9 inches? 0.75 Incorrect: Your answer is incorrect. (b) What fraction of the trees will have diameters greater than 21.3 inches?
Mathematics
1 answer:
Fofino [41]2 years ago
3 0

Answer:

97.5 %

15.7 %

Step-by-step explanation:

\mu = Mean = 19

\sigma = Standard deviation = 2.3

a)

\mu+x\sigma=25.9\\\Rightarrow 19+x\times 2.3=25.9\\\Rightarrow x=\frac{25.9-19}{2.3}\\\Rightarrow x=3

\mu-x\sigma=14.4\\\Rightarrow 19-x\times 2.3=14.4\\\Rightarrow x=\frac{19-14.4}{-2.3}\\\Rightarrow x=2

From the empirical rule we get that the percentage of trees between 14.4 and 25.9 inches is 13.6+34.1+34.1+13.6+2.1 = 97.5 %

b)

\mu+x\sigma=21.3\\\Rightarrow 19+x\times 2.3=21.3\\\Rightarrow x=\frac{21.3-19}{2.3}\\\Rightarrow x=1

The fraction of tree under 21.3 inches is 34.1.

Hence the fraction of trees above the diameter of 21.3 inches is 13.6+2.1 = 15.7 %

You might be interested in
PLEASE HELP ME FAST! IF GIVEN GOOD ANSWERS WILL MARK AS BRAINLIEST!
WARRIOR [948]

Answer:

Step-by-step explanation:

1. Given that the local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours.

We find that this is of the form y = mx + B where

m = 10 and B = 30

Hence slope = m = 10

Answer is 10,

and it represents the rate of change of y for a unit change in x.

2. The answer is the third option "No; the data doesn't suggest a causation, and many people are healthy who don't exercise." Correlation is two data set that are linked or connected together so in this case it would be a correlation because all of the data is close and connected to each other.

3. The answer is "Correlation, because time of day doesn't cause a person to run faster or slower ".

That's the correct answer because causation would mean there is a cause and effect and in the question, there is no cause. It can't be the last one because there is enough information. It also can't be the third one because there is a relationship since he shown he runs faster in the evening. Also I took the test and it was right!

4 0
3 years ago
The circle below is centered at the point 8.4 and has a radius of length 4 what is its equation​
pshichka [43]

Answer:

16

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

8 0
3 years ago
Help me, please<br> Which statement is true about the following pair of rectangles?
miv72 [106K]

Answer:

C

Step-by-step explanation:

\frac{27}{33} =  \frac{9}{11}

5 0
2 years ago
A car manufacturer builds trucks and cars both in red, blue, and green colors. Let B represent the set of all red vehicles produ
telo118 [61]

Answer:

Step-by-step explanation:

The universal set, U is a set of all vehicles produced by the manufacturer.

U = red, blue and green vehicles(both cars and trucks)

B = all red vehicles produced by the manufacturer(both cars and trucks)

C = red, blue and green trucks

C ' = all elements that are not in C but are in the universal set

C ' = red, blue and green cars

B intersection C ' = all elements that are common to set B and set C '. Therefore,

B intersection C ' = red cars

5 0
3 years ago
Your class hopes to collect at least 325 cans of food for the annual food drive. there were 135 cans donated the first week and
vampirchik [111]

They have collected 135+89=224 cans until now. To equal 325, they need 325-224=101 cans more.

A.

Let C be the number needed to equate atleast 325.

135+89+C\geq 325


B.

If we solve the inequality in part A, we can find minimum number of C to meet the goal of 325 cans.

135+89+C\geq 325\\224+C\geq325\\C\geq325-224\\C\geq101

<em>So they need minimum 101 to complete the target and more than that to surpass.</em>

ANSWER: 101 cans are needed to meet the goal and more than that to surpass the goal.

5 0
3 years ago
Other questions:
  • the back of a moving truck is 4 feet above the ground. A ramp extending from the back of the truck meets the ground 10 feet from
    5·1 answer
  • Membership in the art club costs $10 per month plus a one-time charge of $25 for basic supplies. Each statement compares the num
    14·1 answer
  • Write 171 miles in 3 hours as a unit rate
    15·1 answer
  • Two number cubes are rolled. Each number cube has sides numbered 1 through 6.
    7·2 answers
  • 2x+10=16 help please, i forgot how to work it out
    13·2 answers
  • The four types of comma interrupters are? this is worth 5 points for my test and i need it so badly..
    7·1 answer
  • Use the figure below.
    10·1 answer
  • Is – 3 a factor of 66?
    12·1 answer
  • the chart shows the hourly wage for the employees at the local newspaper office what is the hourly wage of most of the employees
    12·1 answer
  • Is (3,4) a solution to the system of<br> equations. <br> X + y = 7<br> x - 2y = - 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!