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MatroZZZ [7]
3 years ago
9

In a normal distribution, what percentage of the data falls within 3 standard deviations of the mean?

Mathematics
1 answer:
Stells [14]3 years ago
4 0
99% using the 68- 95- 99 rule
For these kind of problems, it is always a good idea to just draw out a normal distribution curve.
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Julissa is thinking about getting her Master’s degree. She will give up making $28,000 a year for the 2 years it takes to comple
beks73 [17]

Answer:

1.5 years

Step-by-step explanation:

She will give up making $28,000 per year for 2 years.  This means that she will give up making $56,000 in total.

$28,000 × 2 = $56,000

She also pay $34,000 in total to costs to get her degree.  She invested a total of $90,000.

$56,000 + $34,000 = $90,000

After graduating, she makes $60,000 a year.  It will take her 1.5 years to recover her investment.

90,000/60,000 = 1.5

7 0
2 years ago
The average grain of salt is 0.0003 meters wide. Rhinovirus, which causes the common cold, is 0.00000003 meters wide. How many t
algol [13]

Answer:

1\times 10^4\ times

Step-by-step explanation:

Given:

Width of average grain of salt is, w=0.0003\ m

Width of Rhinovirus is, W=0.00000003\ m

Now, expressing each width in scientific notation form, we get:

w=0.0003\ m = 3\times 10^{-4}\ m\\\\W=0.00000003\ m = 3\times 10^{-8}\ m

Now, in order to get how many times 'W' is wider than 'w', we divide the two widths. This gives,

\frac{W}{w}=\frac{3\times 10^{-4}\ m}{3\times 10^{-8}\ m}\\\\\frac{W}{w}=1\times 10^{-4-(-8)}=1\times 10^{-4+8}=1\times 10^4\\\\\therefore W=1\times 10^4\times w

Therefore, the grain of salt is 1\times 10^4\ times wider than Rhinovirus.

5 0
3 years ago
Need help with this assoon as possible
alexandr402 [8]
The equation for r in the distance formula is r = d/t
8 0
2 years ago
Question 8/Multiple Choice Worth 1 points)
Hunter-Best [27]

Answer:

k = 3

Step-by-step explanation:

Given

f(x) = 0.5x

g(x) = 0.5x - k

Required

Find k

<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>

<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>

Given that f(x) = 0.5x

and f(x) is shifted down by 3 units to give g(x); then:

f(x) - 3 = g(x)

Substitute 0.5x for f(x)

0.5x - 3 = g(x)

Recall that g(x) = 0.5x - k ---------- (given)

0.5x - 3 = 0.5x - k

Subtract 0.5x from both sides

-0.5x + 0.5x - 3 = -0.5x + 0.5x - k

-3 = -k

Multiply both sides by -1

-3 * -1 = -k * -1

3 = k

k = 3

<em>Hence, the value of k is 3</em>

8 0
2 years ago
What is the diameter in the circle above <br>7<br>3.5<br>14<br>3.14​
ira [324]

Answer:

14

Step-by-step explanation:

The diameter is the length from one point on the circle to another, passing through the center. The <em>radius </em>is the length from a point on the circle to its center, so we can always find the diameter by doubling the radius. In this case, with a radius of 7, our diameter is 7 · 2 = 14

5 0
3 years ago
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