Is 1/4 greater or less than 1/6

Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes

lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 680 trials

r = number of success

p = probability of success which in our question is 0.55

So, it means X ~ $Binom(n=680, p=0.55)$

Now, we have to find the mean and standard deviation of the given binomial distribution.

Mean of Binomial Distribution is given by;

E(X) = n $\times$ p

So, E(X) = 680 $\times$ 0.55 = 374

Standard deviation of Binomial Distribution is given by;

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

= $\sqrt{680 \times 0.55 \times (1-0.55)}$

= $\sqrt{680 \times 0.55 \times 0.45}$ = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0

3 years ago

Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: graph of negative 3 x to the fou

Serggg [28]

Answer:

The average rate of change from x=0 to x=1 for f(x) is 0.

Step-by-step explanation:

We are given the function $f(x)=-3x^{4}-x^{3}+3x^{2}+x+3$ .

Now, the rate average rate of change of a function from $y=x_{1}$ to $y=x_{2}$ is given by $\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}$ .

As, we need the rate of change from x = 0 to x = 1.

So, we will find the values of f(0) and f(1).

i.e. $f(0)=-3\times0^{4}-0^{3}+3\times0^{2}+0+3$ i.e. f(0) = 3

and $f(1)=-3\times1^{4}-1^{3}+3\times1^{2}+1+3$ i.e. $f(1)=-3-1+3+1+3$ i.e. f(1) = 3

Thus, the rate of change from x=0 to x=1 is $\frac{f(1)-f(0)}{1-0}$ i.e. $\frac{3-3}{1-0}$ i.e. 0

Hence, the average rate of change from x=0 to x=1 for f(x) is 0.

7 0

4 years ago

The classrooms are trying to raise $1,200.00 for charity.

Svetradugi [14.3K]

Answer:

The classes need to raise $164.86 more to reach their goal of $1200.

Step-by-step explanation:

$1,200 total

Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.

1200/2 = 600

Mr. Patel's class has raised $235.14.

235.14 + 600 = 835.14

Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.

600/3 = 200

835.14 + 200 = 1035.14

The three classes have raised a combined total of $1035.14.

1200 - 1035.14 = 164.86

The classes need to raise $164.86 more to reach their goal of $1200.

5 0

4 years ago

A textbook company keeps track of its daily cost for printing whole textbooks to different schools, but can only print up to 500

seraphim [82]

Part A: Chose some value for x, that means any amount of books to print for example 100 books, so x=100
Replace x=100 in C(x) and solve:
C(100)=3.5*100+1200=1550
Part B: Replace C(x) by 1900 and solve for x from the given equation:
1900=3.5x+1200
3.5x=1900-1200
x=700/3.5= 200
Part C: the statement C(20)=1270 means that 1270 is the cost for printing 20 books.
Part E: C(40.5)=1341.75 I think this statement is incorrect given the context because x means number of books to print so this value must be an integer number.

8 0

3 years ago

How can you remember slope? in a creative way

lianna [129]

Answer:

Step-by-step explanation:

dont have a creative way but i just remember rise over run or $\frac{rise}{run}$

hope this helps <3

7 0

3 years ago

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