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
kipiarov [429]
3 years ago
8

A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s

pecific time in the microwave. the researcher found that on average 72 currently parked with a standard deviation of 12.what percentage of the bag should have popped 96 kernels or more?
Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

P( X\geq 96)=P( X>96+0.50)

                 =P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z

*Use a <em>z</em>-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

You might be interested in
The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle
miskamm [114]
A and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
{c}^{2}  =  {a}^{2}  +  {b}^{2}
given c = 6 in., a = 2 in.
{c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {6}^{2}  =  {2}^{2}  +  {b}^{2}  \\ {b}^{2} =  {6}^{2}  -  {2}^{2} = 36 - 4   \\ \sqrt{ {b}^{2} }  =  \sqrt{36 - 4}  =  \sqrt{32}
b =  \sqrt{32}   =  \sqrt{16}  \times  \sqrt{2}  = 4 \sqrt{2}  \\ b = 5.66 \: inches
So the three side are 2, 6, and 5.66 inches
5 0
2 years ago
Expression "-3x^2+y4x" when x = "-4" and y = 2<br><br> A. -112<br> B. -80<br> C. 80<br> D. 272
Paraphin [41]
B, -3(-4)^2+(2)4(-4) plug into a calculator
6 0
2 years ago
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, h
lidiya [134]

Answer:

48 minutes

Step-by-step explanation:

Given that:

Time taken by Janet = 3 hours

Janet's rate = 1/3 job / hour

Time taken by Garry = 2 hours

Garry's rate = 1/2

Rate of working together :

1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour

If Janet works for one hour before Garry joins ;

1/3 of the job has been done by Janet

1 - 1/3 = 2/3 of the job left

Hence to finish the job together, it will take :

Fraction of JOB left ÷ rate of working together

(2/3 ÷ 5/6)

= 2 /3 * 6/5

= 12 / 15

= 4 / 5 hours

To minutes

(4/5) * 60

= 240/5

= 48 minutes

8 0
3 years ago
Read 2 more answers
A loaf of bread costs $1.40 and the markup is 30% of the selling price. Find the selling price.
andreev551 [17]

Answer:

The selling price after the markup is $1.82

Step-by-step explanation:

$1.40 * .30 =

Multiply $1.40 times .30 (which is same as 30%)

$1.40 * .30 = $0.42

Add $1.40 and $0.42

= $1.82

Hope this helps.

6 0
2 years ago
X + 7y = 21
Ket [755]

Answer:

x=21−7y?

Step-by-step explanation:

I don't really know what else to do

7 0
3 years ago
Read 2 more answers
Other questions:
  • Need help on algebra
    10·1 answer
  • Which is equivalent to 243 2/5 ? 3 6 9 12
    6·2 answers
  • Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un
    12·1 answer
  • How do I write these ratios 10/20 and 2/2 in y=kx form
    12·1 answer
  • Select the correct answer from each drop-down menu.
    7·1 answer
  • Please explain what this means! (no math needs to be done as I got the answers but I don't understand the explanation...)
    10·1 answer
  • Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
    6·1 answer
  • Which expression is equivalent to 4+5i•(2-7i)?
    12·1 answer
  • 7x - 4 = 24<br> show your work
    6·2 answers
  • Someone pls help me ill give out brainliest pls don’t answer if you don’t know
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!