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Oksi-84 [34.3K]
3 years ago
6

What are some prime numbers?

Mathematics
2 answers:
34kurt3 years ago
8 0

2, 3, 5, 7, 11, 13; basically any number that has only two factors, one and itself.

pshichka [43]3 years ago
5 0

Answer:

2,3,5,7,11

Step-by-step explanation:

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(1,5) I think, because that’s where the points intersect
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The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. what
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The probability is 0.2177.

The z-score associated with this income is

z = (525-490)/45 = 0.78

Using a z-table (http://www.z-table.com) we see that the area to the left of this score, less than the score, is 0.7823.  We want the probability greater than this score, so we subtract from 1:
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What is the magnification formula?
romanna [79]

Answer:

It is option A

Step-by-step explanation:

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3 years ago
Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil rem
mariarad [96]

Answer:

Nirmala can use the lamp for 31.66 hours before it runs out of oil.

Step-by-step explanation:

From the graph,

Take any two points, let say

(15, 25)

(25, 10)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(15,\:25\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)

m=\frac{10-25}{25-15}

m=-\frac{3}{2}

The equation of line in slope-intercept form

y = mx + b

Putting m=-\frac{3}{2}  and any point, let say (25, 10), to find the y-intercept 'b'

10=-\frac{3}{2}\left(25\right)+b

-\frac{3}{2}\left(25\right)+b=10

-\frac{75}{2}+b=10

\mathrm{Add\:}\frac{75}{2}\mathrm{\:to\:both\:sides}

-\frac{75}{2}+b+\frac{75}{2}=10+\frac{75}{2}

b=\frac{95}{2}

b=47.5

So the equation of line will be:

y = mx + b

y=-\frac{3}{2}x+47.5

In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.

so

y=-\frac{3}{2}x+47.5

Putting y = 0

0=-\frac{3}{2}x+47.5

-\frac{3}{2}x+47.5=0

-\frac{3}{2}x=-47.5

\mathrm{Multiply\:both\:sides\:by\:}2

2\left(-\frac{3}{2}x\right)=2\left(-47.5\right)

-3x=-95

\mathrm{Divide\:both\:sides\:by\:}-3

\frac{-3x}{-3}=\frac{-95}{-3}

x=\frac{95}{3}

x=31.66

Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.

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