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3 years ago

Please help in the question it should be if t=-6 when r =-2 its an error

Mathematics

1 answer:

Natasha2012 [34]3 years ago

7 0

Answer:

r = - $\frac{12}{7}$

Step-by-step explanation:

Given that r varies inversely as t , then the equation relating them is

r = $\frac{k}{t}$ ← k is the constant of variation

To find k use the condition t = - 6 when r = - 2, then

- 2 = $\frac{k}{-6}$ ( multiply both sides by - 6 )

12 = k, thus

r = $\frac{12}{t}$ ← equation of variation

when t = - 7, then

r = $\frac{12}{-7}$ = - $\frac{12}{7}$

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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

How do you solve the fraction 2 1/2 - 6

Slav-nsk [51]

You could easily change the 2 1/2 to a 2.5 and do 2.5-6=-3.5

8 0

3 years ago

If h(x)= (f o g)(x) and h(x)= 4 √x+7, find g(x) if f(x) = 4 √x+1

stepladder [879]

(f o g)(x)=f(g(x))

so

h(x)=f(g(x))
$4\sqrt{x+7}=4\sqrt{g(x)+1}$
hmm, see the differences

x+7=g(x)+1

x+6=g(x)
g(x)=x+6

6 0

3 years ago

Help quick please!!

valkas [14]

Answer:

4.5 I hope I was not to late

6 0

1 year ago

Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices

Angelina_Jolie [31]

Answer:

The inequality is $0.75x\geq y$

Step-by-step explanation:

Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.

To find : Which inequality represents this situation?

Solution : He plays trumpet for a minimum of 45 minutes

$45 \text{minutes}=\frac{45}{60}=\frac{3}{4}=0.75\text{hours}$

If x is the number of days that Lionel practices then he practices for at least

$=0.75x$ hours

y is the total number of hours he spends practicing

So, the inequality form is:

$0.75x\geq y$

i.e, 0.75x is greater than y.

5 0

3 years ago

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