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Ilia_Sergeevich [38]
3 years ago
5

JK has endpoints at J(9, 9) and K(1, 3). Find the midpoint M of JK.

Mathematics
1 answer:
nadezda [96]3 years ago
3 0
The midpoint of JK will be the points in between the x values and the y values.

There is an easy midpoint formula that goes as follows:

M= ((x1+x2)/2, (y1+y2)/2)

Now, we go 9+1 which is 10 and divide by 2 getting 5.

For the y values we do the same- 9+3 is 12 divided by 2 is 6.

The midpoint of JK is (5,6).
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1m cm

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Step-by-step explanation:

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3 years ago
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A. What is the monthly payment for a<br>$3,200 five-year loan with an APR of 3%.​
madreJ [45]

Answer:

$57.50

Step-by-step explanation:

we know that

The monthly loan payment formula is equal to

M=\frac{P(\frac{r}{12})(1+\frac{r}{12})^{12t}}{(1+\frac{r}{12})^{12t}-1}

where

M ----> is the monthly payment

P ---> the amount borrowed

r ---> interest rate as decimal

t ---> length of the loan in years

we have

t=5\ years\\ P=\$3,200\\ r=3\%=3/100=0.03

substitute in the formula

M=\frac{3,200(\frac{0.03}{12})(1+\frac{0.03}{12})^{12(5)}}{(1+\frac{0.03}{12})^{12(5)}-1}

M=\frac{3,200(0.0025)(1.0025)^{60}}{(1.0025)^{60}-1}

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4 0
3 years ago
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
Carter is going to use a computer at an internet cafe. The cafe charges an initial fee to
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Step-by-step explanation:

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marysya [2.9K]

Answer:

go to the left to -85 then go up to 52.

Step-by-step explanation:

x=-85

y=52

7 0
2 years ago
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