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mestny [16]
2 years ago
9

Anyone I need help with this problem plss

Mathematics
1 answer:
Nady [450]2 years ago
3 0

Answer:

About 1.23 standard deviation above the mean

Step-by-step explanation:

From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation

That would be through calculating the z score as follows;

z-score = (x - mean)/SD

where x is the given value

z-score = (87-71)/13 = 1.23

Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean

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The ordered pairs (−4,−3)
lilavasa [31]

The equations and inequality expresses the relationship between the variables.

The correct responses are;

  • First part; The rule that represent the function is; <u>y = 0.5·x - 1</u>
  • Second part; the correct option is the inequality; <u>2·n - 6 ≥ 35</u>
  • Third part; \displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}
  • Fourth part; <u>Table 4</u>
  • Fifth part; \displaystyle  \underline{y < -\frac{1}{2} \cdot x - 4}
  • Sixth part; <u>75·w + 55 ≤ 400</u>

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, <em>m</em>, is therefore;

\displaystyle m = \frac{2 - 1}{6 - 4}  = \frac{1}{2} = 0.5

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; <u>y = 0.5·x - 1</u>

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; <u>2·n - 6 ≥ 35</u>

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}

Fourth part;

The best correct option is table 4, given that the table is as follows;

\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

\displaystyle  \underline{y < -\frac{1}{2} \cdot x - 4}

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let <em>w</em> represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

<u>75·w + 55 ≤ 400</u>

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0
2 years ago
Alex makes $61,992 per year and pays about 25% of his gross monthly income in federal and state taxes. He wants to find an apart
ivanzaharov [21]

Answer:

Rent each month = $1421

Amount left after rent and taxes monthly = $2453

Step-by-step explanation:

Gross salary; $61,992 per year

His gross pay per month will be;

61992/12 = $5166

Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.

Now, let's adopt an average of 27.5%

Thus;

Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421

We are told he pays 25% of his gross monthly income in federal and state taxes.

Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292

Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453

4 0
3 years ago
Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24
yulyashka [42]
5.25 dollars for the protein shake and 4.5 for the strawberry smoothies
5 0
3 years ago
Read 2 more answers
What is the answer for -0.04 times -0.1?
Orlov [11]
<span><span>The answer is 0.004. You are aware you could have just used a calculator or used google (Since you're posting on here you have access to the internet)</span><span>
</span></span>
5 0
2 years ago
Read 2 more answers
What are the slope and y intercept of the line 4y= -x - 32
Alona [7]
First you'll have to bring the equation in form y = mx + b.

4y = -x - 32
y = -1/4 x - 8

So the slope is -1/4 and y-intercept is -8

Hope this helps :)
7 0
2 years ago
Read 2 more answers
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