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Umnica [9.8K]
3 years ago
10

Given the graph, find the distance of GH. Round to the nearest tenth.

Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

GH = 6.3 units

Step-by-step explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

Distance between G and H = d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

G(-2, -3) = (x_1, y_1)

H(0, 3) = (x_2, y_2)

GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2}

GH = \sqrt{(2)^2 + (6)^2}

GH = \sqrt{4 + 36} = \sqrt{40}

GH = 6.3 units (nearest tenth)

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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

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Greg is participating in a 4 -day cross-country biking challenge. He biked for 63 , 54 , and 62 miles on the first three days. H
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Greg needs to bike 57 miles on the last day so that his average is 59 miles per day.
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Need help ASAP , midterm<br> - 60 points
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Your answer is going to be 5.2
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Which ordered pair satisfies the system of equations for 3x-y=8 and x+y=2? A.) (3,-1) B.) (2.5,0.5) C.) (2.5,-0.5)(5,-3)
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Answer:

3x - y = 8

y = 3x - 8

y = 3*2.5 - 8 = -0.5 --> (2.5, -0.5)

y = 3*5 - 8 = 7 --> (5, 7)

Answer C is correct.

6 0
3 years ago
The money collected from selling bacon at a butcher store is given by the function f(x) = 3.55x – 4, where f(x) is the sales rev
Helga [31]

Answer:

See below under "Explanation".

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle f(x) = 3.55x - 4

\displaystyle x = \{ 17, 21, 24, 34 \}

<u>Step 2: Find Profit</u>

To find the <em>profit</em> the store makes each day, we <em>input</em> the number of customers that visited the store each day into our given function:

For the day that had 17 customers:

\displaystyle\begin{aligned}f(17) & = 3.55(17) - 4 \\& = 60.35 - 4 \\& = \boxed{56.35} \\\end{aligned}

∴ the butcher store made $56.35 when <em>17 customers</em> visited the store.

For the day that had 21 customers:

\displaystyle\begin{aligned}f(21) & = 3.55(21) - 4 \\& = 74.55 - 4 \\& = \boxed{70.55} \\\end{aligned}

∴ the butcher store made $70.55 when <em>21 customers</em> visited the store.

For the day that had 24 customers:

\displaystyle\begin{aligned}f(24) & = 3.55(24) - 4 \\& = 85.2 - 4 \\& = \boxed{81.2} \\\end{aligned}

∴ the butcher store made $81.20 when <em>24 customers</em> visited the store.

For the day that had 34 customers:

\displaystyle\begin{aligned}f(34) & = 3.55(34) - 4 \\& = 120.7 - 4 \\& = \boxed{116.7} \\\end{aligned}

∴ the butcher store made $116.70 when <em>34 customers</em> visited the store.

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Learn more about functions: brainly.com/question/27710450

Learn more about Algebra I: brainly.com/question/27710380

---

Topic: Algebra I

3 0
2 years ago
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