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3 years ago

Need help.

1 answer:

3 0

$f(x)=5x+9\\
f'(x)=5$
The derivative is constant. It's equal 5 for any argument.

$f(x)=\dfrac{6}{x}\\
f'(x)=-\dfrac{6}{x^2}\\
f'(-2)=-\dfrac{6}{(-2)^2}=-\dfrac{6}{4}=-\dfrac{3}{2}$

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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

What is the number of times a base is multiplied by its self indicated by an exponent

lozanna [386]

The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.

Let's say we had the expression $5^3$

The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.

The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so

$5^3 = 5*5*5 = 125$

With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.

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2 years ago

What is the quotient 8 x 4 − 12 x 2 − 16 x 4 x , where x ≠ 0 ?

Nat2105 [25]

Answer:

that = 8 and if you want to see more you can go on

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2 years ago

How do you solve the system:<br> y+1=2x<br> 5y+5=10x

Marta_Voda [28]

Answer:

choose "infinitely more solutions"

Step-by-step explanation:

Let's solve this system by substitution method

y+1=2x

- 1 = - 1

y = 2x -1 <-- sbstitute this in the next equation

---------------------------------------------------------------------------------

5y+5 = 10x

5(2x -1) + 5 = 10x

10x -5 + 5 = 10x

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- 10x = -10x

0 = 0 <-- infinitely more solutions

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2 years ago

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What is negative six one third equal negative nine three fourths

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Answer:

Do you have a picture of the problem so I can see it

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3 years ago