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Eduardwww [97]
3 years ago
15

Below are tabulated a number of Rockwell G hardness values that were measured on a single steel specimen. Compute

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0

Answer:

a) 48.408

b) 1.235

Step-by-step explanation:

a)

The average hardness value xbar can be computed as

xbar=sum of values/number of values

xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12

xbar=580.9/12

xbar=48.408 (rounded to 3 decimal places).

The average hardness value is 48.408.

b)

The standard deviation hardness value s can be computed as

s=\sqrt{\frac{sum(x-xbar)^2}{n-1} }

x              x-xbar  (x-xbar) ²

46.5  -1.90833 3.64174

46.9  -1.50833 2.27507

49.4    0.99167 0.98340

50.3     1.89167 3.57840

49.8     1.39167 1.93674

48.8    0.39167 0.15340

47.0           -1.40833 1.98340

47.7   -0.70833 0.50174

48.3           -0.10833 0.01174

49.4    0.99167  0.98340

47.8           -0.60833 0.37007

49.0    0.59167 0.35007

Total                               16.7692

s=\sqrt{\frac{16.7692}{12-1} }

s=\sqrt{\frac{16.7692}{11} }

s=\sqrt{1.5245}

s=1.2347

s=1.235 (rounded to 3 decimal places)

The standard deviation hardness value is 1.235.

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2 years ago
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Answer:

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(0,-13)(1,-10)(2,-7)

Step-by-step explanation:

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3 0
2 years ago
Isaiah and Wanda both went bowling last weekend, but not together. Isaiah went during open bowling time, paying $16 for shoe ren
DIA [1.3K]

Answer:

1 hour

Step-by-step explanation:

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6 0
2 years ago
Please help me! 7 points!! I don’t understand
SVETLANKA909090 [29]

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For the resulting sum we can use the Law of Cosines or just add up the components.  Let's try it both ways.

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So a total speed of

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Answer: 389.82

--------

OK let's try the Law of Cosines.   We have sides 300 and 100 and included angle 150°.

c^2 = 300^2 + 100^2 - 2 (300)(100) \cos 150^\circ

c=\sqrt{151961.52422} = 389.82 \quad\checkmark

5 0
3 years ago
At Fruits R Us, Mr. Orchard realizes that dried pineapple slices and dried apricots were two of his top dried fruit sellers. So
Rudik [331]

Answer:

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=300 (1)

5x+8y=300*7

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First, you can isolate x in (1):

x=300-y (3)

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Then, you can replace the value of y in (3) to find x:

x=300-200

x=100

According to this, the answer is that he should use 100 pounds of dried pineapple and 200 pounds of dried apricots.

4 0
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