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
n200080 [17]
3 years ago
13

The numbers of beans in some cocoa pods

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

a) <em>Mean number of beans = 33.4 per coco pad</em>

<em>b) Standard deviation of the  beans = 5.2   per coco pad</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

a)

Given data  30, 28, 30, 35, 40, 25, 32, 36, 38 and 40.

mean of beans

  x⁻ = ∑x/n

x^{-} = \frac{30+ 28+30+35+40+25+32+36+38 + 40.}{10} = 33.4

<em>Mean number of beans per coco pad  = 33.4</em>

<em>step(ii):-</em>

<em>b) </em>

<u><em>standard deviation</em></u>

<em>∑(xi - x⁻)²  =  (30-33.4)²+ (28-33.4)²+(30-33.4)²+(35-33.4)²+(40-33.4)²+(25-33.4)²+(32-33.4)²+(36-33.4)²+ (38-33.4)²+(40-33.4)²</em>

<em>On calculation , we get</em>

<em>       ∑(xi - x⁻)²  = 242.4</em>

<em>standard deviation </em>

<em>  =        </em>\sqrt{\frac{sum((x-x^{-} )^{2} }{n-1} } = \sqrt{\frac{242.4}{10-1} } = 5.189<em></em>

<em>Standard deviation of the  beans  (σ) = 5.2   per coco pad</em>

You might be interested in
Plz hurry will mark brainliest
svetoff [14.1K]

Answer:

No they don't form a proportion

Step-by-step explanation:

Their denominatiors do not share a common multiple, therefore they can not form a proportion.

5 0
3 years ago
A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}&#10;&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\&#10;&------&------&------\\&#10;\textit{18\% solution}&x&0.18&0.18x\\&#10;\textit{40\% solution}&y&0.40&0.4y\\&#10;------&------&------&------\\&#10;mixture&10&0.20&2&#10;\end{array}

\bf \begin{cases}&#10;x+y=10\implies \boxed{y}=10-x\\&#10;0.18x+0.4y=2\\&#10;----------\\&#10;0.18x+0.4\left( \boxed{10-x} \right)=2&#10;\end{cases}&#10;\\\\\\&#10;0.18x-0.4x+4=2\implies -0.22x=-2&#10;\\\\\\&#10;x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
3 years ago
Calculus AB Assignment: Writing Symmetrical Functions 4. The domain of f(x) is [O, ..) and 1 2 3 4 f(x) { } 1o in Х 1 2 1 5 1 17
AveGali [126]

Answer:

Step-by-step explanation:

5 0
2 years ago
A similarity transformation maps ∆ABC to ∆JKL. The measure of ∠A of preimage ∆ABC is 105°. The scale factor of the dilation in t
sveticcg [70]

Answer:

Option C. m

Step-by-step explanation:

we know that

If two figures are similar, then the ratios of its corresponding sides is equal and its corresponding angles are congruent

so

m<A=m<J

m<B=m<K

m<C=m<L

therefore

The measure of angle J is the same that the measure of angle A

m

5 0
3 years ago
Read 2 more answers
What is one tenth of .2?
rosijanka [135]
The answer would be 0.02, I believe
5 0
3 years ago
Read 2 more answers
Other questions:
  • Help me out is 11 point
    15·2 answers
  • A new car is purchased for 17900 dollars. The value of the car depreciates at 13% per year. What will the value of the car be, t
    6·1 answer
  • Someone help me please
    5·1 answer
  • A restaurant has one price for adults and another price for children to eat at its buffet. Two families ate at the buffet. The T
    9·1 answer
  • (08.01 MC)
    11·1 answer
  • Question 5 (1 point)
    13·1 answer
  • research to find foods that are made using microorganisms. Choose one such food. Write a paragraph explaining how microorganisms
    7·1 answer
  • Examine the following table. Determine whether the rate of change is constant or variable. If it is constant, state the rate of
    12·1 answer
  • A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one
    12·1 answer
  • In the inequality -2 &lt; 2, which number appears farther right on a number line and why?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!