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Sliva [168]
3 years ago
8

You work at a local grocery store. Your paychecks over the past 6 weeks were $56.05, $41.50, $22.50, $52.90, $49.85 and $31.00.

Find the mean, median and mode.
Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0


Mean is the average of all the paychecks, so it will be: (56.05 + 41.50 + 22.5 + 52.9 + 49.85 + 31)/ 6

The mean is: $42.30. So on average she earns $42.30 each week.

We can find the median by arranging from smallest to larges so: 22.5, 31, 41.5, 49.85, 52.9 and 56.05. Since we have an even number of entries, we will take the average of the middle two entries: (41.5 + 49.85)/2

So the median is: 45.68 (rounded to the nearest tenth)

Mode is the number that appears the most in a given set. In this set we can see, that no number is repeated. Therefore there is no mode.

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2 years ago
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.
lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that \triangle NOP is an right angled triangle.

\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled \triangle, we know that:

tan \theta = \frac{Perpendicular}{Base}

Here, \theta is \angle N, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.

So, tan 59^\circ = \frac{OP}{PN}

\Rightarrow OP = PN \times tan59^\circ

Putting the values of <em>PN </em>and tan59^\circ.

OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft

Hence, the value of <em>OP </em>is 12.3\ feet.

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Tenth place is the answer!! :))
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