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zhannawk [14.2K]
3 years ago
8

A line passes through the points (–6, 4) and (–2, 2). What is the equation of the line?

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
7 0

answer: y = -1/2x + 1

work:

let's use slope intercept form, or y = mx + b to represent the equation. <em>(m = slope, b = y-intercept)</em>

first, let's find the slope, or m. to do this, subtract the y values over the x values.

4 - 2 / - 6 - - 2  <em>(next: subtract the values)</em>

2 / - 4 <em>(next: simplify)</em>

1 / -2 <em>(next: write as a fraction)</em>

-1/2

so, the slope is -1/2. let's place this into the equation.

y = -1/2x + b.

okay, so to find b, or the y intercept, plug a value for x and y into the equation and solve.

4 = -1/2(-6) + b  <em>(next: multiply)</em>

4 = 3 + b <em>(next: subtract 3 from both sides)</em>

1 = b

so, let's place that into our equation:

y = -1/2x + 1 , this is your complete equation.

<em>hope this helps and have a great day!</em>

irga5000 [103]3 years ago
6 0

I forgot how to find the y intercept but the slope is -2/4

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Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa
KengaRu [80]

Answer:

a. <u>0.5 or 50%</u>

b. <u>0.496 or 49.6%</u>

c. <u>0.8185 or 81.85%</u>

d. <u>Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm</u>

e. <u>0.0252 or 2.52%</u>

f. <u>The qualifying speed would be 47.4 wpm.</u>

Step-by-step explanation:

a. Let's find the z-score this way:

μ  = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

<u>p (z=0) = 0.5 or 50%</u>

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

<u>p (z = -0.01) = 0.496 or 49.6%</u>

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

c.

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

<u>In consequence,</u>

<u>p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%</u>

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

<u>Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.</u>

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

<u>p = 0.0252 or 2.52%</u>

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

<u>The qualifying speed would be 47.4 wpm.</u>

8 0
3 years ago
I don't know what the answer is to divide 180 in a ratio of 4:5:9
Karolina [17]
Hello there,

First you need to add together the numbers.
4+5+9 = 18
Divide the total by this,
180 / 18 = 10
Multiply each number by 10.
40:50:90.

Hope This Helps You!
Good Luck Studying :)
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3 years ago
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elixir [45]
X = 28, hope this helps
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Answer: The answer is 6 and 4.

Step-by-step explanation:

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3 years ago
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Maslowich

Answer:

B) 4

Step-by-step explanation:

1. <em>It is either 3 or 4</em>, since those are only two angles comparing the lighthouse and the boat.

2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, <em>4 is the only angle that is below its corresponding horizontal</em>.

So, the angle of depression from the lighthouse to the boat is 4.

7 0
3 years ago
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