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
Reika [66]
3 years ago
13

If a set of sample measurements has a mean of 100, a normal distribution, a standard deviation of 2, and control limits of 94 an

d 106, what percentage of the samples are expected to be between 94 and 106? Explain your answer.
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer: 99.73%

Step-by-step explanation:

Given : Mean : \mu=100

Standard deviation : \sigma=2

Let X be the random variable that represents the data values.

Formula for Z-score :  z=\dfrac{X-\mu}{\sigma}

For x=94, we have

z=\dfrac{94-100}{2}=-3

For x=106, we have

z=\dfrac{106-100}{2}=3

The probability that the samples are between 94 and 106:-

P(-3

Hence, the percent of the samples are expected to be between 94 and 106 = 99.73%

You might be interested in
find 2 numbers the exact answer is between, for example 3 x 567. how do you do this problem and what is the answer?
kramer
Here is an example I did of the problem hope it helps let me know if you need anything else~!

~<span>Cecildoesscience </span>

6 0
3 years ago
How do you determine the number of zeros to annex in the product of 0.002 and 0.003?
Marat540 [252]
<span>0.002 x 0.003 = 0.000006

the zeroes are multiplied by the power of 10 which is 1/10 in particular.
For example.
The product of a whole number and a decimal number less than 1 will be greater than the whole number multiplied into. For this theorem to be proven. Let us state the mathematical expression into numbers such that </span><span><span>
1. </span> N x 0.1 = N/0.1 < N</span> <span><span>
2. </span> 1 x 0.5 = 0.5 </span><span><span>
3. </span> 2 x 0.1 = 0.2</span> <span><span>
4. </span> 100 x 0.55 = 55</span><span>  </span>

<span>These three examples and stances then suggest the claim that the product is not equal to the whole number used in the equation.<span>
</span></span>
5 0
3 years ago
Question Help
Lady bird [3.3K]

Answer:

19 1-point shots and 32 2-point shots

Step-by-step explanation:

Let x be the amount of 1-point shots they made and y be the amount of 2-point shots they made then...

x+y=51

x+2y=83

We can solve this equation using elimination. In this case, we can eliminate x be subtracting the two equations.

-y=-32

Divide both sides by -1

y=32

Plug this back into the equation to solve for x

x+32=51

Subtract 32 from both sides

x=19

They scored 19 1-point shots and 32 2-point shots.

8 0
2 years ago
A park contains 210 trees on 40 acres. What is rate of trees per acre at the park?
love history [14]

Answer:

the answer would be 210:40

Step-by-step explanation:

5 0
2 years ago
A sculpture is shaped like a sphere with 4 cones attached to it. Several dimensions of the sculpture, in feet, are shown in the
suter [353]

volume of the center sphere = 4/3*PI*r^3

r = 3 ( given in the picture)

 so 4/3 * 3.14 *3^3 = 113.04 cubic feet

 volume of 1 cone: pi *r^2 *h/3

r = 3 and h=3 ( given in the picture)

so 3.14 * 3^2 * 3/3 = 28.26 cubic feet

 there are 4 cones so 28.26* 4 = 113.04 cubic feet


113.04 + 113.04 = 226.08 cubic feet

 rounded to nearest cubic foot = 226 cubic feet

5 0
3 years ago
Other questions:
  • Your quiz and test scores are below. What is your average and your grade?
    12·1 answer
  • Please help thank you
    10·1 answer
  • 3x - 4y = 18<br> x + 3y = -7
    15·1 answer
  • Simplify the exptession 3m+(m+5)​
    9·2 answers
  • I need help ASAP with all your strength and power
    6·1 answer
  • How much money did he raise?<br> THIS IS DUE IN A HOUR
    14·2 answers
  • Find the probability of rolling a number less<br> than 3 on a die.<br><br><br> Pls help
    10·2 answers
  • NEED HELP ASAP!!! WILL GIVE BRAINLIEST TO CORRECT ANSWERS ONLY!!!!!!
    8·1 answer
  • what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14
    11·1 answer
  • PLEASE HELP ME!! 100<br> Points
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!