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KatRina [158]
3 years ago
10

Proof practice for geometry! Need Help!

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

idek dwjejdjjriiwknansns

Step-by-step explanation:

nmjwjw

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Below are tabulated a number of Rockwell G hardness values that were measured on a single steel specimen. Compute
Mashcka [7]

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.

4 0
4 years ago
Miguel deposits $2000 into a bank account that earns simple interest. He writes the expression 2000 + 2000(0.015)(t/12) to repre
oee [108]

Answer:

based on the equation he would make $2.5 in the first month but realistically he would earn around $30 in the first month

Step-by-step explanation:

2000+2000(.015)(1/12)=2002.5

2002.5-2000=2.5

8 0
3 years ago
The cost of a gallon of gas increased from $3.54 to $3.87 over the weekend. What is the percent increase for the cost of gas, ro
Dmitrij [34]

Answer:

9%

Step-by-step explanation:

percent increase is calculated as

\frac{increase}{original} × 100%

increase = $3.87 - $3.54 = $0.33 , then

% increase = \frac{0.33}{3.54} × 100% ≈ 9% ( to the nearest whole percent )

5 0
1 year ago
Read 2 more answers
Which change will quadruple the lateral surface area of a cone?
vlada-n [284]
Don't know try something else it will probably help
6 0
3 years ago
Read 2 more answers
Find the volume of the triangular prism to the right
tigry1 [53]

Answer:

V = 567 ft³

Step-by-step explanation:

V = Bh

<em>[note: a capital 'B' represents the </em><em>area</em><em> of the base] </em>

<em />

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

  • We can identify the base easily because the base and the top of the prism are exactly the same shape

Area of triangular base:

 A = \frac{bh}{2}

 A = \frac{1}{2} (9 ⋅ 9)

 A = \frac{1}{2} (81)

 A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

 V = Bh

 V = (40.5)(14)

 V = 567 ft³

3 0
3 years ago
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