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snow_lady [41]
3 years ago
5

Can you please hely me and tell me if my answer is right

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

x = (8√3)/3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = x

Side length adjacent to reference angle = 4

Apply CAH, thus:

Cos 30 = Adj/Hyp

Cos 30 = 4/x

x × Cos 30 = 4

x = 4/Cos 30

x = 4/(√3/2) (cos 30 = √3/2)

x = 4 × 2/√3

x = 8/√3

Rationalize

x = (8 × √3)/(√3 × √3)

x = (8√3)/3

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Mars2501 [29]

Answer:

\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}                

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}

Sample size, n = 35

Sample mean, \bar{x} = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

  • It is the error of rejecting the null hypothesis when it is true.
  • It is also known as false positive error.
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Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

8 0
3 years ago
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An event sold $608 worth of tickets. Adult tickets cost $11 and children's tickets cost $6. If 68 tickets were sold, how many we
olga_2 [115]
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8 0
4 years ago
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The number of employees for a certain company has been decreasing each year by 7​%. If the company currently has 790 employees a
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Answer:

The number of employees in 8 years  is  442

Step-by-step explanation:

Given:

Decreasing rate = 7%

Current number of employees = 790

To Find:

The number of employees after 8 years is this same rate continues =?

Solution:

Let the number of employees after 8 years be x

The current number of employees is:

790(1-0.07)^0=790---------------------------------(1)

since the decrase rate is 7% we use 0.07

So after 8 years , eq (1) can be rewritten as

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6 0
3 years ago
I need 6x-8=5x+4 solved
Julli [10]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

6x-8=5x+4  Equation/Question

Step 2

6x-8=5x+4  simplify

6x-8=5x+4

Step 3

6x-8=5x+4  Subtract

x-8=4

Step 4

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answer

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