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sergij07 [2.7K]
3 years ago
8

PLEASE ANSWER ASAP! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST! THANKS!!!

Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0
The equation formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the point of the  center of the circle
and (r) is the radius of the circle 
so if the center of the circle = (-2,-4)  
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2 
then the equation will be (x+2)^2 + (y+4)^2 = r^2 
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can 
then subs. in the equation to get the radius 
(x+2)^2 +(y+4)^2 = r^2 
(3+2)^2 +(8+4)^2 = r^2 
25 + 144 = r^2 
r^2 = 169 
r= 13 
the radius of the circle is 13 
so by subs in the equation we get 
(x+2)^2 + (y+4)^2 = 169 
so it is the first answer in the choices 
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In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standa
ivolga24 [154]

Answer:

a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

b) T_c = 2.4469

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.4469, and the answer to question b is T_c = 2.4469

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.4469\frac{0.23}{\sqrt{7}} = 0.21

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.

The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.

The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

7 0
3 years ago
The area of a rectangular field is 6840 m2. If the width of the field is 72m , what is its length?
IgorLugansk [536]

Answer:

I believe that the answer is 95 meters.

Explanation:

Okay, so to solve this question, you must know the formula to solve for the area of a rectangle/square.

<em>Area of a rectangle/square - </em><em>l x w</em>

<em />

In this question, you can see the the width (72 m) and the area (6840 m²) is already given. What you can do in this situation is to use the opposite operator (division) to solve for the length of the rectangular field.

<em>6840 ÷ 72 = </em><em>95</em>

You can always double check to see if the number is correct.

<em>A = l x w</em>

<em>= 72 m x 95 m</em>

<em>= </em><em>6840 m</em>²

Really hope this helped. :)

6 0
3 years ago
The average temperature in the North Pole in the summer is 32 degrees F. The average temperature in the North Pole in the winter
wlad13 [49]

Answer:

he counted from 32 to 40 , and not to -40

Step-by-step explanation:

the difference is 72 degrees

7 0
3 years ago
Pada hari kantin sebanyak 800 naskah kupon telah dijual,harga senaskah kupon masing masing rm 30 dan rm 50 .jumlah wang diperole
solniwko [45]

Answer:

Step-by-step explanation:

On the day of the canteen, 800 coupons were sold, the price of each coupon was RM 30 and RM 50 respectively. The amount of money earned from the sale of coupons was RM30000. How many copies of RM30 and RM50 coupons were sold?

Let:

RM 30 = x

RM 50 = y

x + y = 800 - - - (1)

30x + 50y = 30000 - - - (2)

From (1)

x = 800 - y

Put x = 800 - y in (2)

30(800 - y) + 50y = 30000

24000 - 30y + 50y = 30000

24000 + 20y = 30000

20y = 30000 - 24000

20y = 6000

y =

4 0
3 years ago
kims age is twice of her sister when you add to her sisters age you get 3 how old is each sister (a) write an equation that repr
Lina20 [59]
Kim is 2. Her sister is 1 years old. 2+1=3
6 0
3 years ago
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