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dangina [55]
3 years ago
5

Find dy/dx for the function y+4x²

Mathematics
1 answer:
docker41 [41]3 years ago
8 0

\dfrac{\partial }{\partial x}(y+4x^2)=0+8x=8x

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With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health i
Dahasolnce [82]

Answer:

1.  χ² = <u>  15.3902 </u>

2. The p value is :_____.a. less than .005

3.  Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %=   33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: the employee health insurance coverage is independent of the size of the company

against the claim

Ha: the employee health insurance coverage is not independent of the size of the company

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

which has an approximate chi square distribution with ( 3-1) (2-1)=  2 d.f

4) Computations:

Under H0 , the observed frequencies are :

Observed       Expected E        (O-E)         (O-E)²             (O-E)²/E

33                   42                      -9               81                    1.928  

68                  63                         5              25                  0.3968

88                  84                         4               16                  0.1904

17                    8                           9              81                  10.125

7                     12                          -5             21                    1.75

<u>12                    16                         -4              16                     1              </u>

<u>                                                                                           15.3902    </u>

Expected Values are calculated using the formula :

Row Total * Column Total / sample size

E1= (33+17) (33+ 68+88)/ 50+75+100= 42

E4= (33+17) (17+ 7+ 12)/ 50+75+100=8

E2= (68+7) (33+ 68+88)/ 50+75+100= 63

E5= (68+7)  (17+ 7+ 12)/ 50+75+100= 12

E3= (88+12) (33+ 68+88)/ 50+75+100= 84

E6= (88+12)  (17+ 7+ 12)/ 50+75+100= 16

5) The critical region is χ² ≥ χ² (0.05)2 = 5.99

6) Conclusion:

The calculated χ² = <u>  15.3902    </u>falls in the critical region χ² ≥  5.99  so we reject the null hypothesis that the employee health insurance coverage is NOT independent of the size of the company.

2. The p value is :_____.

a. less than .005

The p-value is .000385.

3.  Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %=   33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

3 0
3 years ago
21) 0=-2y + 10 - 6x<br> 14 - 22y= 18x
zhenek [66]

Answer:

PlPlease be more spacific

Step-by-step explanation:

4 0
3 years ago
How do solve you do 5b/2=27.5
inna [77]
2.5 b = 27.5
b = 27.5 / 2.5

b = 11
6 0
3 years ago
65 yard 2 feet = how many feet
stiv31 [10]
65 yards 2 feet = ?
1 yard = 3 feet

65(3)+2= 195+2 = 197

it is 197 feet
5 0
3 years ago
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9: The perimeter of a rectangle is 46 m. The width of the rectangle is 2 more than half the length. Find the length and the widt
natima [27]

Answer:

our width is 9 and our length is 14

Step-by-step explanation:

5 0
2 years ago
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