Which number has the the greatest absolute value? -20 -10 0 10

You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th

Firlakuza [10]

Answer:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

Step-by-step explanation:

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".

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

$X \sim Binom(n=24, p=0.04)$

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

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:

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

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

3 0

2 years ago

Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane p

11111nata11111 [884]

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

$\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft$

8 0

2 years ago

The terminal side of an angle in standard position passes through p(–3, –4). what is the value of tangent theta?

astraxan [27]

Answer:

4/3

Step-by-step explanation:

The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...

tan(θ) = y/x

__

For the given point on the terminal side, the tangent is ...

tan(θ) = (-4)/(-3) = 4/3

_____

Additional comment

There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:

(x, y) = (r·cos(θ), r·sin(θ))

Then the ratio y/x is ...

y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)

6 0

1 year ago

Read 2 more answers

Pleaseeee helppppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

vodka [1.7K]

Answer:

There are 8 boys for every 10 girls. This is 6 equal groups. Equal ratio

Step-by-step explanation:

6 0

2 years ago

Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, w

Serhud [2]

Answer:

2 ft

Step-by-step explanation:

$\dfrac{7}{4} = \dfrac{3.5}{x}$

$7x = 4 \times 3.5$

$x = 2$

Answer: 2 ft

7 0

3 years ago