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Katena32 [7]
3 years ago
5

The average electricity bill for Lynn’s home is $64.50 per month with a standard deviation of $8.20. In June she received a bill

of only $30.00 because she was traveling for most of the month. How many standard deviations below the mean is the amount of Lynn’s electricity bill for June?
A.) 2.00
B.) 3.65
C.) 4.20
D.) 7.86
Mathematics
1 answer:
sveta [45]3 years ago
4 0
C. 

You can get this by taking the difference and dividing by the standard deviation. 
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Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.
Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

radius(r) =  \sqrt{ {g}^{2}  +  {f}^{2} - c  } \\  =  \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } +  {2}^{2}  - 0 }  \\  =  \sqrt{ \frac{9}{4}  + 4}  \\  =   \sqrt{ \frac{25}{4} }  \\  =  \frac{5}{2}

6 0
3 years ago
Renting a room at the Willow tree resort costs $125 for 2 people. Each additional person is $25. Write an expression that shows
Mama L [17]

Answer:

Let C be the cost for the people staying

if n <= 2 ;  C = $125

If n >2 ;  C =  $125 + $25 * (n-2)

Step-by-step explanation:

If the number of people is more than two, we need to add $25 for each of them.

Since n will be the number of people staying, we need to make sure that we substract two from this term to avoid overcharging the guests when there is less than two people.

So

(n-2) is the term that should be multiplied by a factor of 25.


5 0
3 years ago
What set of order pairs is a function?
Elza [17]
A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Btw you need to add an image so we can see which the order pairs
7 0
3 years ago
Cathy used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the t
aliya0001 [1]

Answer:

blue marble 12/50. tails 20/50

Step-by-step explanation:

12/50×20/50 =240/2500= 12/125 =9.6%

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3 years ago
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Stolb23 [73]
2(x-1)=42
2x-2=42
2x=44
X=22
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3 years ago
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