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Mila [183]
2 years ago
10

Construct an interval estimate for the given parameter using the given sample statistic and margin of error. For μ1-μ2, using x¯

1-x¯2=8 with margin of error 8 .
Mathematics
1 answer:
maks197457 [2]2 years ago
4 0

Answer: CI = (0, 8)

Step-by-step explanation: Confidence interval for difference between mean is given below as

Lower limit

= (x1 - x2) + margin of error

Upper limit

= (x1 - x2) - margin of error

where x1 - x2 = 8 and margin of error = 8

For lower limit,

= 8 - 8 = 0

For upper limit

= 8 + 8 = 16

Hence CI = (0, 8)

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Yuliya22 [10]

Answer:

x=2.

Step-by-step explanation:

We have been given an equation 3(2x+6)-4x=2(5x-2)+6. We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6

6x+18-4x=10x-4+6

Step 2: Combine like terms.

6x-4x+18=10x-4+6

2x+18=10x+2

Step 3: Use subtraction property of equality:

2x-2x+18-2=10x-2x+2-2

16=8x

Step 4: Use the division property of equality:

\frac{16}{8}=\frac{8x}{8}

2=x

Therefore, the solution of our given equation is x=2.

8 0
2 years ago
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Archimedes (ca. 287-212 B.C.) was able to use clever geometric means to determine the relative volumes of a cylinder and the con
VLD [36.1K]

Answer:

The ration of the volume of  cone to that of   cylinder is   \frac{V_{cone}}{V_{cy}} = \frac{1}{3}  

Step-by-step explanation:

From the question we are told that

 The volume of a cone is mathematically represented as

        V_{cone} = \frac{1}{3} \pi r^2 h

The volume of a cylinder is mathematically represented as

       V_{cy} = \pi r^2 h

Now the ratio we are to obtain is

          \frac{V_{cone}}{V_{cy}}  = \frac{\frac{1}{3}  \pi r^2 h}{\pi r^2 h}    

                   \frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} }{1}         Note: this is possible because the height and base

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6 0
2 years ago
A tile mosaic in the shape of a right triangle is used as the corner for a rectangular pathway. The hypotenuse of the mosaic is
Anit [1.1K]

Answer:

The lengths of the sides are 2.2 ft and 4.5 ft

Step-by-step explanation:

Let

a -----> the length of one side of the mosaic

b ----> the length of the other side of the mosaic

c ----> the hypotenuse of the mosaic

we know that

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2} -----> equation A

we have

a=2b -----> equation B

c=5\ ft -----> equation C

substitute equation B and equation C in equation A and solve for b

5^{2}=(2b)^{2}+b^{2}

25=5b^{2}

b=\sqrt{5}=2.2\ ft

Find the value of a

a=2b ------> a=2\sqrt{5}=4.5\ ft

therefore

The lengths of the sides are 2.2 ft and 4.5 ft

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2 years ago
0.2x + (-0.9) + 1.7 = 9.6<br> 0.2x + 0.8 = 9.6<br> X= <br> WHAT DOES x =
Andru [333]

Answer:

x =44

Step-by-step explanation:

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Subtract .8 from each side

.2x +.8 -.8 = 9.6 -.8

.2x = 8.8

Divide each side by .2

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x =44

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Archy [21]

Answer:

B

Step-by-step explanation:

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