All categories

3 years ago

What is the solution set to the given inequality? 6(x-2) 2 8 + 8x

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Answer:

48 x 2 − 184 x + 192

Step-by-step explanation:

You might be interested in

A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 14 adults are

Alexxandr [17]

Answer:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

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

$X \sim Binom(n=14, p=0.79)$

For the first part we want this probability:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

4 0

3 years ago

HELP ME PLEASE!!!!

V125BC [204]

I believe idk could be wrong if my math is correct I got B.... hope I helped

6 0

3 years ago

Read 2 more answers

PLS HELP, I can't upload photos so this is a download for microsoft word docs, it's algebra, points and slope

seraphim [82]

How do I know you're not trying to give me some malware, and this is all a front to get my informations? Sorry sir, I can't help you.

3 0

4 years ago

Suppose sin u= x and u is between 0 and pi/2. what is sec u? ...?

denpristay [2]

The question should be accompanied with choices, below are the choices:

a) sqrt(1-x^2)
b) x/sqrt(1-x^2) 
c) sqrt(1-x^2)/x 
D) 1/sqrt(1-x^2)

The answer should be c) sqrt(1-x^2)/x .

cos u = sqrt (1 - sin^2 u) = sqrt(1 - x^2), and cot u = cos u / sin u.

4 0

4 years ago

Find the volume of the triangular prism.

jarptica [38.1K]

Answer:

33.55 m³

Step-by-step explanation:

volume is base area times height.

the base area is a right-angled triangle (a×b/2).

At = 2.5×4.4/2

the height is 6.1

the total volume is then

2.5×4.4×6.1/2 = 33.55 m³

6 0

3 years ago