Thirty percent of a radioactive substance decays in four years.
1 answer:
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B) If the line is parallel, that means the slope is the same.
The slope for the original line is
= 
.
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.
c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
The slope for the original line is
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.
c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
Answer:
y = 0.5x + 5
Step-by-step explanation:
The equation is in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given the ordered pair (0, 5 ) then c = 5
Calculate the multiplier using the slope formula
with (x₁, y₁ ( = (0, 5) and (x₂, y₂ ) = (2, 6) ← 2 ordered pairs from the table
m = = 0.5, hence
y = 0.5x + 5 ← equation relating x and y
Answer:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We can find the individual probability like this:
And using a calculator, excel or the normal standard table we have that: