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pantera1 [17]
3 years ago
10

What is -7x - 8 = 27

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
7 0

Answer:

- 7x - 8 = 27 \\  \\  - 7x = 27 + 8 \\  \\  - 7x = 35 \\  \\ x =  \frac{35}{7}  \\  \\ x = 5

gizmo_the_mogwai [7]3 years ago
3 0

Answer:

x = -5

Step-by-step explanation:

-7x - 8 = 27

-7x - 8 + 8= 27 + 8

-7x = 35

x = 35 ÷  (-7)

x = -5

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!! AP CALCULUS AB !!<br> find the limit of [(secx*sinx) + (cscx*cosx)]/(3secx) as x approaches 3pi/2
uysha [10]

f(x)= \frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}}

\frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}} \implies \\ \frac{\sin^2{x}+\cos^2{x}}{\sin{x}\cos{x}}\frac{\cos{x}}{3}\implies \\\frac{1}{\sin{x}\cos{x}}*\frac{\cos{x}}{3}\implies \\ \frac{1}{3\sin{x}}

So,

\lim_{x \rightarrow \frac{3\pi}{2}}{f(x)=f(\frac{3\pi}{2})=\frac{1}{3\sin{\frac{3\pi}{2}}}=-\frac{1}{3}

6 0
4 years ago
If a car agency sells 50% of its inventory of a certain foreign car equipped with side airbags, find a formula for the probabilit
antiseptic1488 [7]

Answer:

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

X \sim Binom(n=4, p=0.5)

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!}

And the distribution is given by:

P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}

With X=0,1,2,3,4

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".

Solution to the problem

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

X \sim Binom(n=4, p=0.5)

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!}

And the distribution is given by:

P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}

With X=0,1,2,3,4

3 0
3 years ago
Read 2 more answers
Factor 2xSquared + 3x+1
Fiesta28 [93]
2x² + 3x + 1
2x² + 2x + x + 1
(2x + 1)(x + 1)
8 0
3 years ago
What is the x intercept of the graph shown below
tamaranim1 [39]

Answer:

( 3,0) .

Step-by-step explanation:

Given : Graph .

To find : What is the x intercept of the graph shown below.

Solution  : We have given Graph .

X - intercept : is that point on  x axis at which y = 0.

We can see from the given graph  on x axis where y = 0 .

At x = 3 , y= 0

So , x - intercept is 3

Therefore, ( 3,0) .

3 0
3 years ago
Read 2 more answers
Bacillus cereus is a soil-dwelling bacterium that sometimes causes food poisoning. Each cell divides to form two new cells every
Readme [11.4K]

Answer: There are 6400 bacteria that will be present after 3 hours.

Step-by-step explanation:

Since we have given that

Initial number of bacterial cells = 100

Each cell divides to form two new cells every 30 minutes.

Number of hours = 3 hrs

Number of minutes in 3 hours = 3\times 60 = 180 minutes

Number of 30 minutes in 3 hours = \dfrac{180}{30}=6

So, our equation becomes,

P(x)=ab^x\\\\P(3)=100(2)^6\\\\P(3)=6400

Hence, there are 6400 bacteria that will be present after 3 hours.

7 0
3 years ago
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