Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Answer:
x = 6
y = - 14
Step-by-step explanation:

- -2x × 2 + 10 = - 2x - 2
- x = 6
- y = -2 × 6 - 2 = - 14
Answer:true
Explanation:
24+24=48
48-8=40
40x2=80
80=80!
So it is true.
Answer:
Probability will be 0.5779
Step-by-step explanation:
Number of tablets n = 19
Probability of defect rems that is p = 0.03
Here number of trials is fixed and probability of success = 0.03
Here p = 0.03
So q = 1 - p = 1 -0.03 = 0.97
By using binomial distribution
Probability is given by 
So P(0 or 1) = 
Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.