All categories

3 years ago

Solve the inequality please .. if you can show your work i dont understand it

Mathematics

1 answer:

Sauron [17]3 years ago

4 0

Answer:

X ≥ 3

Step-by-step explanation:

First you simplify, as if the ≤ is an = (just don't multiply with a negative number)

27 = 7X + 6

27 - 6 = 7X

21 = 7X

3 = X

Then you put the ≤ back in

3 ≤ X

and put the X up front. The ≤ then swaps into a ≥

Finally, you can do a test with X = 2 (should be false) and X=4 (should be true), to check wether you made any mistakes.

You might be interested in

Y=3 - 2x<br> 3x + 4y = 1

PolarNik [594]

Answer:

{y,x} = {17/2,-11}

Step-by-step explanation:

7 0

3 years ago

The diameter of a spherical basketball is 10in, what is the volume of the basketball?

lutik1710 [3]

Attached solution with work.

3 0

3 years ago

Read 2 more answers

How u can convert decimal to a fraction in .23?

Vlada [557]

100

0.23

First we have to think that the symbol

100

so that

⋅

(

100

)

this is read twenty three percent is equal to twenty three multiplied by one divided by one hundred.

the result is the fraction

100

Now, to convert to decimal, simply divide 23 by 100

2.3

and

2.3

0.23

this is the same as

100

0.23

4 0

3 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0

2 years ago

Which equation represents a non-proportional situation? y = 6x y = –2x + 14 y = –3x y = 14x

ki77a [65]

The equation of proportional situation is y = ax.

Therefore your answer is y = -2x + 14

3 0

3 years ago

Read 2 more answers