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3241004551 [841]
3 years ago
6

Which graph represents y=⌈x⌉ over the domain 2≤x≤5?

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0

Answer:

<h2>Fourth graph.</h2>

Step-by-step explanation:

The black circles represent closed intervals, and the white circles represent open intervals.

So, according to function domain given, x = 2 is part of the domain, so must have a black circle. X = 5 is also closed interval, that is part of the domain, so also must have a black circle.

The only graph that has this characteristics is the fourth.

Viefleur [7K]3 years ago
3 0
The fourth graph is the correct answer
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After distribution, you should have x to the second power plus 2x
x^2 +2x
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Lesson 2-3<br> 21. 6 - 2(x + 6) = 3x + 4
PolarNik [594]
Step by step:
6 - 2(x + 6) = 3x + 4
6 - 2x -12 = 3x + 4
6 - 12 = 5x + 4
-6 = 5x + 4
-10 = 5x
-2 = x

So, x = -2
4 0
3 years ago
What is 62% of 25 ?<br> im horrible at this plz help
hodyreva [135]
62% of 25

'of' means multiplication.

\sf 62\%\times 25

Convert 62% to a decimal, divide it by 100(since percentages are parts of 100):

62/100 = 0.62

\sf 0.62\times 25

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\sf\boxed{\sf 15.5}
4 0
4 years ago
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The average student loan debt for college graduates is $25,150.
Aleks04 [339]

Using the normal distribution, it is found that:

a) X \approx N(25150, 12050)

b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

c) Low: $23,519.65, High: $26,580.35.

<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 = 25150, \sigma = 12050.

Hence the distribution of X can be described as follows:

X \approx N(25150, 12050)

The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the <u>p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200</u>, hence:

X = 33950:

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

Z = \frac{33950 - 25150}{12050}

Z = 0.73

Z = 0.73 has a p-value of 0.7673.

X = 14200:

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

Z = \frac{14200 - 25150}{12050}

Z = -0.91

Z = -0.91 has a p-value of 0.1814.

0.7673 - 0.1814 = 0.5859.

There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:

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

-0.127 = \frac{X - 25150}{12050}

X - 25150 = -0.127(12050)

X = $23,519.65.

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

0.127 = \frac{X - 25150}{12050}

X - 25150 = 0.127(12050)

X = $26,580.35.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

5 0
2 years ago
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
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