Answer:
Sue's scores for the four games in ascending order are: 97, 98, 98, 107
Step-by-step explanation:
Her modal score was 98. The mode is found by using the number that appears most often. This means that 98 has to appear at least two times out of the four scores.
Her range was 10. The range is found by taking the highest score and subtracting it from the lowest score. The highest score had to be greater than 98 and the lowest score had to be less than 98 since we know the mode was 98.
Her mean score was 100. This mean is found by adding all the numbers together and then dividing by the total numbers listed. Adding the four scores together and dividing by 4 will equal 100.
Used guess and test:
Highest Number, 98, 98, Lowest Number
107 - 97 = 10 (meets range requirement)
97 + 98 + 98 + 107 = 400
400/4 = 100 (meets the mean requirement)
Divide the top and bottom by 2.
14 / 2 = 7
16 / 2 = 8
7/8
Answer:
D. 
Step-by-step explanation:
The point-slope form of a line is given by:
The line given to us has equation; 
.
The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.
Our slope of interest is therefore; 
Since the point goes through (-2,7), we have 
.
We plug in the slope and the point into the point-slope formula to obain;
The required equation is:
Answer: 0.0793
Step-by-step explanation:
Let the IQ of the educated adults be X then;
Assume X follows a normal distribution with mean 118 and standard deviation of 20.
This is a sampling question with sample size, n =200
To find the probability that the sample mean IQ is greater than 120:
P(X > 120) = 1 - P(X < 120)
Standardize the mean IQ using the sampling formula : Z = (X - μ) / σ/sqrt n
Where; X = sample mean IQ; μ =population mean IQ; σ = population standard deviation and n = sample size
Therefore, P(X>120) = 1 - P(Z < (120 - 118)/20/sqrt 200)
= 1 - P(Z< 1.41)
The P(Z<1.41) can then be obtained from the Z tables and the value is 0.9207
Thus; P(X< 120) = 1 - 0.9207
= 0.0793
