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vlada-n [284]
3 years ago
6

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:
ICE Princess25 [194]3 years ago
5 0
The arrangement in order would be 22.5, 31, 41.5, 49.85, 52.9, 56.05
the mean would be $42.30 (Added all and divided by 6)
the median would be $45.68 (41.5+49.85=91.35/2= 45.675)
there would be no mode.

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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
What two numbers add to the sum of 126 but multiply to make 3024?
melomori [17]

Answer:

I think it's 24, but if it's not then I'm really sorry.

Step-by-step explanation:

6 0
3 years ago
A total of 722 tickets were sold for the school play. they were either adult tickets or student tickets. there were 72 more stud
ololo11 [35]
S + a = 722
s = 72 + a

(72 + a) + a = 722
2a + 72 = 722
2a = 722 - 72
2a = 650
a = 650/2
a = 325 <== adults

s = 72 + a
s = 72 + 325
s = 397 <== students

5 0
3 years ago
As an estimation we are told 5 miles is 8 km.<br> Convert 40 miles to km.
sergeinik [125]

Answer:

5 miles=8 km

=)1 mile=8/5 km=1.6 km

=)40 miles=1.6×40=64 km

So, 40 miles is 64 km.

Step-by-step explanation:

7 0
3 years ago
Two adjacent angles whose exterior sides are opposite rays are complementary.
alexgriva [62]

we know that

Two angles are Complementary when they add up to 90 degrees and two angles are Supplementary when they add up to 180 degrees

f the exterior sides are opposite rays, then a straight line forms and you have the two angles add to 180 degrees

So

the angles are supplementary and not complementary

therefore

the answer is the option

Never

6 0
3 years ago
Read 2 more answers
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