Y= Mx+b
In the equation of a straight line,the slope is the number "m" that is multiplied on the x, and "b<span>" is the </span>y<span>-intercept (that is, the point where the line crosses the vertical </span>y<span>-axis).</span>
Answer:
(x + 2)^2 + (y + 8)^2 = 10
Step-by-step explanation:
The general equation of a circle with center at (h, k) and radius r
is (x - h)^2 + (y - k)^2 = r^2. If the center is at (-2, -8) and the radius is √10, then this equation becomes:
(x + 2)^2 + (y + 8)^2 = 10
It’s C because it’s less than 3
Answer: 25
Step-by-step explanation:
From the question, we are informed that the piece of rural land sold ten years ago for 40000 and that the price for the same land this year is $800 more per acre, and it sold for 60000.
The size of the piece of land in acres will then be:
40000 + 800x = 60000
800x = 60000 - 40000
800x = 20000
x = 20000/800
x = 25
The land is 25 acres
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
