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N76 [4]
3 years ago
7

Whenever she visits Oakdale, Karin has to drive 55 kilometres due north from home. Whenever she visits Brookfield, she has to dr

ive 48 kilometres due east from home. How far apart are Oakdale and Brookfield, measured in a straight line?
Please show work <3

Mathematics
2 answers:
Natalija [7]3 years ago
6 0
Sorry it is a bit messy but the answer is right

inessss [21]3 years ago
4 0
Here it is, just use pitagorean theorem, because it's a right triangle

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Use factoring to simplify the expression x^2-x-6/x-3 assume that x does not equal 3
Gre4nikov [31]
This works out beautifully.  You COULD use long division here, but since your numerator is a quadratic, your first instinct should be to try and factor it.  If you factor it, it works out to be (x - 3)(x + 2).  Now it just so happens that when you do that, the (x - 3) in the numerator will cancel with the (x - 3) in the denominator leaving you with one sad and lonely (x + 2) as your answer.
3 0
3 years ago
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>

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3 years ago
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I don’t see anything
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Which pairs of angles in the figure below are vertical angles??
Wewaii [24]

Answer:

Option A and D

Step-by-step explanation:

straight lines AI, PR, CT intersect each other at a point k.

Opposite or vertical angles are,

1. ∠ AKC and ∠ TKI

2. ∠ IKR and ∠ AKP

Therefore, options (A) and (D) are the correct options.

8 0
3 years ago
In AGHI, the measure of ZI=90°, GH = 96 feet, and IG = 25 feet. Find the measure of ZH to the nearest tenth of a degree.​
iVinArrow [24]

Answer:

15.1

Step-by-step explanation:

4 0
3 years ago
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