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LenaWriter [7]
3 years ago
11

Solve the inequality n + 20 < -42, and write the solution in interval notation.

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

Step-by-step explanation:

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Cerrena [4.2K]

Answer:

I cant do them all for you, but essentially every equation there is an a, plug in 10 for a. Every equation  with b, plug in 9 and every equation with c plug in 4. Then Solve/simplify

Step-by-step explanation:

5 0
3 years ago
A tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small files. Suppose the true me
m_a_m_a [10]

Answer:

Let X the random variable who represents the file sizeof music. We know the following info:

\mu =2.3,\sigma =3.25

We select a sample of n=50 nails. That represent the sample size.  

Since the sample size is large enough n >30, we can use the central limit theorem. From this theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we can approximate the distribution of the sample mean as a normal distribution and no matter if the distribution for X is right skewed or no.

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 central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable who represents the file sizeof music. We know the following info:

\mu =2.3,\sigma =3.25

We select a sample of n=50 nails. That represent the sample size.  

Since the sample size is large enough n >30, we can use the central limit theorem. From this theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we can approximate the distribution of the sample mean as a normal distribution and no matter if the distribution for X is right skewed or no.

8 0
3 years ago
You and 3 friends divide the proceeds of a garage sale equally. The garage sale earned $412. How much money did you receive?
iren2701 [21]

Answer:

$ 103 for each person

Step-by-step explanation:

4 0
3 years ago
Hey, I need some help in math I put the pic down below
EastWind [94]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We find the slope with the given points:

m = \frac {y2-y1} {x2-x1} = \frac {401-450} {14-7} = \frac {-49} {7} = - 7

Thus, the line is given by:

y = -7x + b

We substitute a point to find "b":

450 = -7 (7) + b\\450 = -49 + b\\450 + 49 = b\\b = 499

Finally, the equation is:

y = -7x + 499

Answer:

y = -7x + 499

4 0
3 years ago
What is the value of x?<br> Please help
SOVA2 [1]

Answer:

x = 45

Step-by-step explanation:

x and 3x are adjacent angles and the form a straight line. Their sum will be 180 degrees

x +3x = 180

Combine like terms

4x = 180

Divide each side by 4

4x/4 = 180/4

x =45

8 0
3 years ago
Read 2 more answers
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