Answer:
y + 9 = -0.4(x-7)
Step-by-step explanation:
in slope form , we will use y - y1 =m ( x - x1) ,
which will be y + 9 = -2/5(x-7) ,
in reduced form , we have y + 9 = -0.4(x-7)
As this is probability, we can use the next formulas and tell how is this going to be:
P(A) = student on the dean's list
<span>P(B) = student taking calculus </span>
<span>P(A n B) = 0.042 </span>
<span>P(A) = 0.21 </span>
<span>So, P(B) = 0.042/0.21 </span>
<span>= 0.2
So the probability here is of 0.2</span>
Answer:
+ or - square root of 5, and + or - i
Step-by-step explanation:
(x^2 + 5)(x^2 + 1)= 0
Set each set of parentheses equal to zero:
x^2 + 5 = 0; x^2 = -5, so x will equal plus or minus i times the square root of 5.
X^2 +1 = 0; x^2 = -1, so x will equal plus or minus i times the square root of one, which is just i
<em>C</em>
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
<em>Explanation</em>
According to the empirical rule of normal distribution:
Approximately 68% of the data falls within ±1 standard deviation of the mean
2. Approximately 95% of the data falls within ±2 standard deviations of the mean
3. Approximately 99.7% of the data falls within ±3 standard deviations of the mean.
Therefore, among the given options, only option C adheres to the empirical rule of the normal distribution. Therefore, the option C is correct
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