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
NNADVOKAT [17]
2 years ago
8

When conducting an experiment, is it better to include 10 students or 30

Mathematics
1 answer:
emmainna [20.7K]2 years ago
8 0

Answer:

30

Step-by-step explanation:

It is better to include 30 students for the sample. When conducting an experiment it is always best to have the largest sample size possible. The larger the sample size the more data that will be gathered and analyzed, which ultimately leads to much more precise results. Mainly, since you have more results to compare with one another. Therefore, providing a smaller margin of error while also allowing for a better chance of catching errors as opposed to smaller data/sample sizes.

You might be interested in
If three points are coplanar they are also collinear true or false
Elza [17]

Answer:

FALSE !

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
7nadin3 [17]

Answer:

-50

Step-by-step explanation:

6 0
2 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
sergiy2304 [10]

Answer:

(a) P(X=3) = 0.093

(b) P(X≤3) = 0.966

(c) P(X≥4) = 0.034

(d) P(1≤X≤3) = 0.688

(e) The probability that none of the 25 boards is defective is 0.277.

(f) The expected value and standard deviation of X is 1.25 and 1.089 respectively.

Step-by-step explanation:

We are given that when circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%.

Let X = <em>the number of defective boards in a random sample of size, n = 25</em>

So, X ∼ Bin(25,0.05)

The probability distribution for the binomial distribution is given by;

P(X=r)= \binom{n}{r} \times p^{r}\times (1-p)^{n-r}  ; x = 0,1,2,......

where, n = number of trials (samples) taken = 25

            r = number of success

            p = probability of success which in our question is percentage

                   of defectivs, i.e. 5%

(a) P(X = 3) =  \binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

                   =  2300 \times 0.05^{3}\times 0.95^{22}

                   =  <u>0.093</u>

(b) P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= \binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}+\binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

=  1 \times 1 \times 0.95^{25}+25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}

=  <u>0.966</u>

(c) P(X \geq 4) = 1 - P(X < 4) = 1 - P(X \leq 3)

                    =  1 - 0.966

                    =  <u>0.034</u>

<u></u>

(d) P(1 ≤ X ≤ 3) =  P(X = 1) + P(X = 2) + P(X = 3)

=  \binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

=  25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}

=  <u>0.688</u>

(e) The probability that none of the 25 boards is defective is given by = P(X = 0)

     P(X = 0) =  \binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}

                   =  1 \times 1\times 0.95^{25}

                   =  <u>0.277</u>

(f) The expected value of X is given by;

       E(X)  =  n \times p

                =  25 \times 0.05  = 1.25

The standard deviation of X is given by;

        S.D.(X)  =  \sqrt{n \times p \times (1-p)}

                     =  \sqrt{25 \times 0.05 \times (1-0.05)}

                     =  <u>1.089</u>

8 0
2 years ago
(UFRGS) Se 10x = 20y , atribuindo 0,3 para log2, então o valor de é
sveticcg [70]

Answer:

\frac{x}{y}=1.3

Step-by-step explanation:

<u>Informação recuperada:</u>

(UFRGS) Se 10x = 20y , atribuindo 0,3 para log 2 , então o valor de x/y é

1) Primeiro, passando o 10 para o 2º membro como base do logaritmo:

10x=20y \Rightarrow x=log_{10}20y

2) Aplicando a propriedade do produto de logaritmo:

log(AB)= logA+logB

x=log_{10}20y \Rightarrow x=log(2+10)y\Rightarrow x=(0.3+1)y \Rightarrow x=1.3y

3)  Como quero o quociente divido ambos os lados por y

\frac{x}{y}=\frac{1.3y}{y}\Rightarrow \frac{x}{y}=1.3

4 0
2 years ago
Jermiah works at an appliance store. He reacantly sold 12 clothes dryers and 36 other appliances. Of the next 100 appliances he
Viefleur [7K]
12/36 = x/100
Then cross multiply
1200 = 36x
Divide by 36
x = 33.33

Can’t sell 0.33 of an appliance, so your answer is 33.
4 0
2 years ago
Other questions:
  • Do you put negative numbers in the quadratic formula
    10·1 answer
  • assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 6 adult smartphone users
    12·1 answer
  • Write the fraction 29/7 as a repeating decimal
    8·1 answer
  • Plane H is shown which points are viola at and non collinear
    6·1 answer
  • What statement About the value of x is true
    6·1 answer
  • What are the coordinates of vertex J of the pre-image?
    12·1 answer
  • No links and respond with an explanation please.
    10·1 answer
  • Anybody know the answer to this? Please help ASAP
    11·1 answer
  • I’ll mark brainlist
    12·2 answers
  • What is cos 60°? (ap3x)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!