Answer:
since her score was -12 from being perfect
if she had scored 12 more points her score would have been perfect .
that is difference between her score and the perfect score o each quiz was <u>12</u>
Answer:
1
Step-by-step explanation:
Three side lengths that meet the requirements of the triangle inequality will form exactly one triangle.
_____
The triangle inequality requires the sum of the short sides be at least as long as the long side. Here, we have 3 + 4.69 = 7.69 > 7, so we satisfy the triangle inequality.
The side lengths can be arranged in clockwise or counterclockwise order, least to greatest. Each triangle is a reflection of the other, so they are considered to be the same triangle (congruent).
Answer:
0.0433
Step-by-step explanation:
Since we have a fixed number of trials (N = 25) and the probability of getting heads is always p = 0.05, we are going to treat this as a binomial distribution.
Using a binomial probability calculator, we find that the probability of obtaining heads from 8 to 17 times is 0.9567 given that the con is fair. The probability of obtaining any other value given that the coin is fair is going to be:
1 - 0.9567 = 0.0433
Since we are going to conclude that the coin is baised if either x<8 or x>17, the probability of judging the coin to be baised when it is actually fair is 4.33%
Answer:
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Step-by-step explanation:
- The slope of the horizontal line is zero
- The equation of the horizontal line passes through the point (a, b) is y = b
- All the points on the horizontal line have the same y-coordinates
- The slope of the vertical line is undefined
- The equation of the vertical line passes through the point (a, b) is x = a
- All the points on the vertical line have the same x-coordinates
Let us solve the question
∵ The line has an undefined slope
∴ The line is a vertical line
∵ The equation of the vertical line is x = a, where a is the x-coordinate
of any point on the line
∵ The line passes through the point (3, 4)
∴ a = 3
∴ The equation of the line is x = 3
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
