What is another way to represent 3%?<br> A) 0.3<br> B) 3<br> C) 0.03<br> D) 3/10

Help help............

sergij07 [2.7K]

Answer:

please send the pic again clearly

8 0

3 years ago

Read 2 more answers

uppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to b

denis-greek [22]

Answer:

Using the binomial distribution we can find this probability with the following excel code:

"=BINOM.DIST(30,200,0.1,TRUE)", and we got:

$P(X \leq 30)=0.9905$

Using the normal approximation

We can use the continuity factor correction:

$P(X \leq 30) = P(X< 30+0.5) = P(X$

And we can use the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

And we got:

$P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=200, p=0.1)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We want to find this probability;

$P(X \leq 30)$

Using the binomial distribution we can find this probability with the following excel code:

"=BINOM.DIST(30,200,0.1,TRUE)", and we got:

$P(X \leq 30)=0.9905$

The other way is using the normal approximation for the binomial distribution

We need to check the conditions in order to use the normal approximation.

$np=200*0.1=20 \geq 10$

$n(1-p)=20*(1-0.1)=18 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=200*0.1=20$

$\sigma=\sqrt{np(1-p)}=\sqrt{200*0.1(1-0.1)}=4.243$

And we can use the continuity factor correction:

$P(X \leq 30) = P(X< 30+0.5) = P(X$

And we can use the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

And we got:

$P(X$

3 0

3 years ago

It is found experimentally that the electric field in a certain region of Earth's atmosphere is directed vertically down. At an

sweet-ann [11.9K]

Answer:

$1.176604*10^{-10} C$

Step-by-step explanation:

This is flux problem (see diagram below)

Since electric field is vertical to the top and bottom of the cube. total flux will be sum of flux up and down i-e

Фtotal=Фup + Фdown = Ф 260 + Ф150

But flux is given by scalar product of Electric field and area

Ф=E.A= EA cos∅

where ∅ is the angle between two vector quantities E the electric field and A the area vector. So, total flux is

Фtotal = $=E_{260} .A+E_{150} .A$

$=E_{260} *A cos \alpha +E_{150} *A cos \beta$

$=E_{260} * Acos(180)+E_{150} * Acos(0)$

$=-E_{260} .A +E_{150} .A$

$=A(E_{150} -E_{260} )$

But we know that according to Gausse's Law total flux is given by;

Total flux = q / ∈

==> q= ∈(Total flux)

$q = 8.84 *10^{-12} *110^{2} (260-150)$

$q=1.176604 *10^{-10} C$

4 0

3 years ago

A vender is loading candybars into a vending machine. Each slot holds 130cm of candy barsand each candy bar is 1.5cm thick, how

elena-14-01-66 [18.8K]

Answer:

86

Step-by-step explanation:

since the slot is 130 cm thick you divide that by the thickness of the candy bar 130/1.5 and then you get 86.6666666.....which rounds to 86 because the slot is not thick enough for another candy bar. good luck on whatever you needed this for!

8 0

4 years ago

an airplane flies from city a to city b, which is 100 kilometers north and 150 kilometers west of city a. how far does the plane

frozen [14]

Answer:250 kilometers

Step-by-step explanation:

so it travels 100 kilometers north and another 150 kilometers north so 100+150 is 250 kilometers

3 0

2 years ago

What is another way to represent 3%? A) 0.3 B) 3 C) 0.03 D) 3/10