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
djverab [1.8K]
3 years ago
15

The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 gra

ms. Use the empirical rule to determine the following.
a. About 95 % of organs will be between what weights?
b. What percentage of organs weighs between 270 grams and 350 grams?
c. What percentage of organs weighs less than 270 grams or more than 350 grams?
d. What percentage of organs weighs between 230 grams and 430 grams?
Mathematics
1 answer:
lara [203]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that:

The mean μ = 310

The standard deviation σ =  40

Using the empirical rule to determine the following :

a. About 95 % of organs will be between what weights?

At 95% data values lies within 2 standard deviations of mean.

Thus, the  required range is :

= μ ± 2σ

= ( 310 - 2 (40) ,  310 + 2(40) )  

= (230, 390)

b. What percentage of organs weighs between 270 grams and 350 grams

Here:

μ ± σ = (310 - 40,  310 + 40)

μ ± σ = (270, 350)

Using empirical rule, 68% data values is in the range within 1 standard deviation of mean. This implies that 68% data values lie between (270, 350).

c. What percentage of organs weighs less than 270 grams or more than 350 grams?

The complement theorem can be use to estimate the  percentage of organs that weighs less than 270 grams or more than 350 grams,

This can be illustrated as :

= 100 % - 68 %

= 32 %

d. What percentage of organs weighs between 230 grams and 430 grams?

Using the empirical rule:

The percentage of organs weighs between 230 grams and 430 grams is:

u - 2σ  and  u + 3σ respectively.

You might be interested in
A right triangle has legs that measure 7 cm and 6 cm. What is the length of the hypotenuse in meters?
dalvyx [7]
<h2>Greetings!</h2>

Answer:

\sqrt{85}  or 9.22

Step-by-step explanation:

You need to remember the following equation:

a^{2} + b^{2} = c^{2}

Where a and b is the lengths of the two sides and c is the hypotenuse.

So simply plug these values into this:

6^{2} + 7^{2} = h^{2}

36 + 49 = h^2

36 + 49 = 85

So the hypotenuse is the square root of 85:

\sqrt{85}  = 9.22


<h2>Hope this helps!</h2>
7 0
3 years ago
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents heig
Pie

Answer: 2 seconds

Step-by-step explanation:

got it right

4 0
2 years ago
write an equation in point slope form of the line that passes through the point (0,1) and has a slope if -3/2
DochEvi [55]

Step-by-step explanation:

<u>y</u> - <u>1</u> = <u>-</u><u>3</u>

x - 0 2

2y - 2 = -3x

2y = -3x + 2

7 0
3 years ago
7x + 4x <br><br> I need help plz
Firlakuza [10]

Answer:

11x

Step-by-step explanation:

They have the same variable so just add the two numbers

6 0
3 years ago
Pls help if you actually can
Setler79 [48]

The triangles that are similar would be ΔGCB and ΔPEB  due to Angle, Angle, Angle similarity theorem.

<h3>How to identify similar triangles?</h3>

From the image attached, we see that we are given the Parallelogram GRPC. Thus;

A.  The triangles that are similar would be ΔGCB and ΔPEB  due to Angle, Angle, Angle similarity theorem.

B. The proof of the fact that ΔGCB and ΔPEB are similar pairs of triangles is as follow;

∠CGB ≅ ∠PEB  (Alternate Interior Angles)

∠BPE ≅ ∠BCG  (Alternate Interior Angles)

∠GBC ≅ ∠EBP  (Vertical Angles)

C.  To find the distance from B to E and from P to E, we will first find PE and then BE by proportion;

225/325 = PE/375  

PE = 260 ft

BE/425 = 225/325  

BE = 294 ft

Read more about Similar Triangles at; brainly.com/question/14285697

#SPJ1

5 0
2 years ago
Other questions:
  • Can someone help plzzzz need asap!!!
    13·2 answers
  • Evaluate 5/3
    6·2 answers
  • Find the value of x.
    7·1 answer
  • A bookstore is having a sale in which you can get 4 notebooks for $7.00 and 10 folders for $2.50. how much will it cost Rico to
    14·1 answer
  • Select the x-coordinate of the vertex of the parabola defined by the function f(x)=-9x^2+7x+8
    7·2 answers
  • What is the prime factorization for 160 using exponents?
    15·2 answers
  • If a circle has a diameter of two what would the area be
    11·1 answer
  • Let X and Y be independent positive random variables. Let Z = X/Y.In what follows, all occurrences of x, y, z are assumed to be
    14·1 answer
  • (a) Amy pumped 35 gallons of water out of her pool. This was done over a period of 5 minutes at
    12·1 answer
  • Solve for x: 1/2 (10x+6)=-2x+10
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!