All categories

3 years ago

Please help me guys

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

Step-by-step explanation:

2x + 6 < 10

2x + 6 - 6 < 10 - 6

2x < 4

2x ÷ 2 < 4 ÷ 2

x < 2

-2x + 22 < 18

-2x + 22 - 22 < 18 - 22

-2x < - 4

-2x ÷ (-2) > -4 ÷ (-2)

x > 2

You might be interested in

What is the equation of the line through (2,1) and (0, 5)

aivan3 [116]

Answer:

y=-2x+5

Step-by-step explanation:

Trust me please

5 0

2 years ago

If f(x)=3x-1 and g(x)=x+2,find (f-g)(x)

oksian1 [2.3K]

Answer:

$\large\boxed{(f-g)(x)=2x-3}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\f(x)=3x-1,\ g(x)=x+2\\\\\text{substitute:}\\\\(f-g)(x)=(3x-1)-(x+2)\\\\=3x-1-x-2\qquad\text{combine like terms}\\\\=(3x-x)+(-1-2)\\\\=2x-3$

7 0

3 years ago

Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure

Marina CMI [18]

Answer:

a) $P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

b) $P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by: