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kirill [66]
3 years ago
14

What is the height of the tree to the nearest foot?

Mathematics
2 answers:
goblinko [34]3 years ago
6 0
35
You use Sin60degX40ft
Goshia [24]3 years ago
5 0

sine's rule

sine α = hypotenuse : opposite

opposite = height of the tree (h)

sin 60° = h : 40

h = 40 sin 60 =34.64 = 35 ft

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As part of an insurance company’s training program, participants learn how to conduct an analysis of clients’ insurability. The
hammer [34]

Answer:

1) cpk < 1.33, therefore it is not capable

b) cpk = 1.33, therefore it is capable

c) cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Step-by-step explanation:

Upper limit (USL) = 47 minutes and Lower limit (LSL) = 30 minutes

1)

a) mean (μ) = 37 minutes, standard deviation (σ) = 3 minutes

cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-37}{3*3},\frac{37-30}{3*3}  )=min(1.11,0.78)=0.78

cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*3}=0.94

cpk < 1.33, therefore it is not capable

b) mean (μ) = 38 minutes, standard deviation (σ) = 2 minutes

cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38}{3*2},\frac{38-30}{3*2}  )=min(1.5,1.33)=1.33

cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2}=1.42

cpk = 1.33, therefore it is capable

c) a) mean (μ) = 38.5 minutes, standard deviation (σ) = 2.9 minutes

cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38.5}{3*2.9},\frac{38.5-30}{3*2.9}  )=min(0.98,0.98)=0.98

cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2.9}=0.98

cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

3 0
3 years ago
The population, P, of a small island was 6380, correct to the nearest 10. Complete the statement about the limits of P. ……………………
Lady bird [3.3K]

Answer:

6375 ≤ P < 6385

Step-by-step explanation:

When rounding to the nearest 10, the unit value is either rounded to 1 and added to the tens value (if value is greater than or equal to 5) or rounded to 0 (if less Than 5)

Hence, the lower limit of a number p which gives 6380 when rounded to the nearest ten would be 6375 ;

The upper limit of the number p in other to give 6380 when rounded to the nearest 10 will be 6384 (< 6385)

8 0
3 years ago
2 fraction that is equal to 1/4
prisoha [69]
<span>that would be my dear 2/8, 3/12,</span>
3 0
3 years ago
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-0.2×-5/7<br><br>please can i have some help
Ksivusya [100]

Answer:

+1/7

Step-by-step explanation:

One approach to evaluating this would be to rewrite it as:

-2        -5  

------ * --------- .  

 10          7   This reduces to:

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--------- = +1/7

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8 0
4 years ago
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Answer:The length of one side would be 11

Step-by-step explanation:

5 0
3 years ago
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