If cente ris (h,k) and radius is r then
equatn is (x-h)^2+(y-k)^2=r^2
so
center (5,4)
r=2
h=5
k=4
(x-5)^2+(y-4)^2=2^2
(x-5)^2+(y-4)^2=4
first option
Answer:
A. 7.2 centimeters
Step-by-step explanation:
The length of the base is 7.2 centimeters. The area of a rectangle is length*width
The length is unknown but the area is known. To find the length, all we have to do is divide the area from the height.
The working is as follows :
Area = 90 cm²
Height = 12.5 cm
Length = ?
<em>Length</em><em> </em><em>=</em><em> </em><em>Area</em><em> </em><em>÷</em><em> </em><em>Height</em>
<em>=</em><em> </em><em>90</em><em> </em><em>÷</em><em> </em><em>12</em><em>.</em><em>5</em>
<em>=</em><em> </em><em>7.2cm</em>
Answer:
<h2>$5.75</h2>
Step-by-step explanation:
Step one:
given data
initial balance= $10
she earned extra $23.50 doing errands
hence her balance will be
=10+23.5
=$33.5
Step two:
Required is her balance
we are told that she bought shoes for $27.75
hence her balance will be
=33.5-27.75
=$5.75
Answer: P(x ≥ 47) = 0.25
Step-by-step explanation:
Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancies of the certain protozoan.
µ = mean
σ = standard deviation
n = number of samples
From the information given,
µ = 46 days
σ = 10.5 days
n = 49
The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as
P(x ≥ 47) = 1 - P(x < 47)
For x = 47
z = (47 - 46)/(10.5/√49) = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75
P(x ≥ 47) = 1 - 0.75 = 0.25
The value of any log function approaches negative infinity as the argument approaches zero from above.