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boyakko [2]
3 years ago
8

(x + 2)2 + (y - 3)2 = 4

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0
Answer: x=3

Step by Step:
(x+2)2+(y-3)2=4
2x+4+(0-3)x2=4
2x+4-3x2=4
2x+4-6=0
2x=6
x=3
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5 0
3 years ago
After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If y
Kaylis [27]

Answer:

40th and 80th visit

the first visit where you receive both is the 40th

Step-by-step explanation:

personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:

  • both rewards would happen only twice, at the 40th and 80th visit.

you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.

4 0
3 years ago
Read 2 more answers
Suppose that each observation in a random sample of 100 fatal bicycle accidents in 2015 was classified according to the day of t
liraira [26]

Answer:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0:  proportion of fatal bicycle accidents in 2015 was the same for all days of the week

against the claim

Ha:  proportion of fatal bicycle accidents in 2015 was not the same for all days of the week

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (ni - npi)²/ npi

which has an approximate chi square distribution with ( n-1)=7-1=  6 d.f

4) The critical region is χ² ≥ χ² (0.05)6 = 12.59

5) Calculations:

χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28

χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]

χ²= 1/14.28[8.1364]

χ²= 0.569= 0.57

6) Conclusion:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

b.<u> It is r</u>easonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week

6 0
3 years ago
Guys pls help me!!!!!!
kumpel [21]

Answer:

x=32

Step-by-step explanation:

7 0
2 years ago
Neil places £2,000 in a bank account that pays 1.5% simple interest per year.
SIZIF [17.4K]

Answer:

He will earn £186.89 interest

Step-by-step explanation:

final = original x multiplier^n

final = 2000 x 1.015^6

final = 2186.886528

Interest = final - original

Interest = 186.8865

6 0
2 years ago
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