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Anit [1.1K]
3 years ago
13

6 + 2x = 24

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0
<span>6 + 2x = 24
2x = 18
x = 9
answer
9
----------
</span><span>3x – 5 ≥ 7
3x </span>≥ 12
x ≥ 4
answer
<span>{4, 5, 6}
</span>
--------------
<span>4x – 3 ≥ 5
</span><span>4x  ≥ 8
</span><span>x  ≥ 2
answer
</span><span>{2, 3, 4}
</span>
-----------------

<span>3r ≤ 4r – 6
 r </span> ≥ 6
answer
<span>{6, 7, 8, 9,10}</span>
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Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean
In-s [12.5K]

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 19000, \sigma = \sqrt{4000000} = 2000

The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{20179 - 19000}{2000}

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

6 0
2 years ago
Grrrr i have no idea what this unit is talking about please help
Kipish [7]

Answer:

SSS Triangle Congruence.

8 0
3 years ago
Mark Brainliest and Give PoInts​
nata0808 [166]

Answer: the 2nd and the 5th one

Step-by-step explanation:

6 0
2 years ago
Can anyone do this ??
Ilya [14]

Answer:

I think is A tell me if I am wrong

Step-by-step explanation:

7 0
3 years ago
Confused on how to do these Piecewise-Defined evaluations..
Gekata [30.6K]

See the attached image for the graph. The piecewise function is simply a collection of functions glued together to form a sort of "frankenstein function" of sorts. Here's how it works. If x is between 0 and 1 (including 0 but excluding 1), then f(x) = -2 for all x values mentioned. This is exactly what the first row of the piecewise function says. Then the second line says "if x is between 1 and 2, including both endpoints, then f(x) = 3-x". Finally the last line says f(x) = 1 as long as x is larger than 1 but smaller than 4. The value x = 4 is allowed for this piece but x = 1 is not allowed.

--------------------------------------------------

Now onto function evaluation. We want to evaluate f(1) so we need to find f(x) when x = 1. If x = 1, then we'll use the second piece because the first piece excludes x = 1. So

f(x) = 3-x

f(1) = 3-1

f(1) = 2

is the first answer for the function evaluation section.

The value of f(3) is equal to 1 since we resort to using the third piece of the piecewise function (x = 3 is in the range from x = 2 to x = 4)

The value of f(-5) is undefined simply because we're out of the range defined by the piecewise function. The smallest x can get is x = 0.

Finally, f(2) is equal to 1 since...

f(x) = 3-x

f(2) = 3-2

f(2) = 1

again we use the second piece of the piecewise function because x = 2 is in the range 1 <= x <= 2

--------------------------------------------------

In summary:

f(1) = 2

f(3) = 1

f(-5) = undefined

f(2) = 1

Once again have a look at the graph to see how the points match up. I've color-coded the graph so that each piece is a different color. The first piece is in red, the second in blue, the third in green. Note the open hole at point B to indicate "don't include this point as part of the graph".

6 0
3 years ago
Read 2 more answers
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