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katrin [286]
3 years ago
11

Find 0.112 x 7.2. Helpppppppppppp

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

0.804

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An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit
TiliK225 [7]

Answer:

atleast 385

Step-by-step explanation:

Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.

Population std deviation = \sigma = 50

Sample size =n

STd error of sample mean = \frac{50}{\sqrt{n} }

Margin of error for 95% would be Critical value ( std error)

Here since population std dev is known we can use Z critical value= 1.96

1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16

Sample size should be atleast 385

5 0
4 years ago
Seven and one-half foot-pounds of work is required to compress a spring 2 inches from its natural length. Find the work required
ella [17]

Answer:

Apply Hooke's Law to the integral application for work: W = int_a^b F dx , we get:

W = int_a^b kx dx

W = k * int_a^b x dx

Apply Power rule for integration: int x^n(dx) = x^(n+1)/(n+1)

W = k * x^(1+1)/(1+1)|_a^b

W = k * x^2/2|_a^b

 

From the given work: seven and one-half foot-pounds (7.5 ft-lbs) , note that the units has "ft" instead of inches.   To be consistent, apply the conversion factor: 12 inches = 1 foot then:

 

2 inches = 1/6 ft

 

1/2 or 0.5 inches =1/24 ft

To solve for k, we consider the initial condition of applying 7.5 ft-lbs to compress a spring  2 inches or 1/6 ft from its natural length. Compressing 1/6 ft of it natural length implies the boundary values: a=0 to b=1/6 ft.

Applying  W = k * x^2/2|_a^b , we get:

7.5= k * x^2/2|_0^(1/6)

Apply definite integral formula: F(x)|_a^b = F(b)-F(a) .

7.5 =k [(1/6)^2/2-(0)^2/2]

7.5 = k * [(1/36)/2 -0]

7.5= k *[1/72]

 

k =7.5*72

k =540

 

To solve for the work needed to compress the spring with additional 1/24 ft, we  plug-in: k =540 , a=1/6 , and b = 5/24 on W = k * x^2/2|_a^b .

Note that compressing "additional one-half inches" from its 2 inches compression is the same as to  compress a spring 2.5 inches or 5/24 ft from its natural length.

W= 540 * x^2/2|_((1/6))^((5/24))

W = 540 [ (5/24)^2/2-(1/6)^2/2 ]

W =540 [25/1152- 1/72 ]

W =540[1/128]

W=135/32 or 4.21875 ft-lbs

Step-by-step explanation:

5 0
3 years ago
Find the 9th term of the geometric sequence <br> 8 , 32 , 128
Ksju [112]

Answer:

the pattern seems to be to multiply by 4 so the answer would be 524,288

Step-by-step explanation:

8×4= 32×4= 128×4= 512×4= 2048×4= 8192×4= 32768×4= 131072×4= 524,288

8 0
3 years ago
1. Twenty-four people go on holidays. If 15 go swimming, 12 go fishing, and 6 do neither,
mars1129 [50]

Answer:

9 people went swimming and fishing.

Step-by-step explanation:

We solve this question building a Venn Diagram.

We have that:

In total, there are 24 people.

6 do neither of these activities.

x go both swimming and fishing.

15 go swimming. This included those who go both swimming and fishing, so for the addition, we consider those who only go swimming, which is given by 15 - x.

12 go fishing, of which 12 - x only go fishing, by the same logic as above.

How many go swimming and fishing?

This in x

Adding all(neither, both swimming and fishing, only swimming, only fishing), we get 24. So

6 + x + 15 - x + 12 - x = 24

33 - x = 24

x = 9

9 people went swimming and fishing.

8 0
3 years ago
2(3x+10)=6x+20 does this equation have one solution or many ? Explain why
mylen [45]

Answer:

2(3x+10) = 6x+20

6x+20 = 6x+20

6x = 6x

x = x

This has an infinite amount of solutions

Step-by-step explanation:

8 0
3 years ago
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