Answer:
Step-by-step explanation:
Mean = (87 + 105 + 130 + 160 + 180 + 195 + 135 + 145 + 213 + 105 + 145 + 151 152 + 136 + 87 + 99 + 92 + 119 + 129)/19 = 129
Variance = (summation(x - mean)²/n
Standard deviation = √(summation(x - mean)²/n
n = 19
Variance = [(87 - 129)^2 + (105 - 129)^2 + (130 - 129)^2+ (160 - 129)^2 + (180 - 129)^2 + (195 - 129)^2 + (135 - 129)^2 + (145 - 129)^2 + (213 - 129)^2 + (105 - 129)^2 + (145 - 129)^2 + (151 - 129)^2 + (152 - 129)^2 + (136 - 129)^2 + (87 - 129)^2 + (99 - 129)^2 + (92 - 129)^2 + (119 - 129)^2 + (129 - 129)^2]/19 = 23634/19 1243.895 min
Standard deviation = √1243.895 = 35.269 min
60 minutes = 1 hour
Converting the variance to hours,
Each division would have been divided by 60². 60² can be factorized out
Variance = 23634/60² = 6.565 hours
Converting the standard deviation to hours, it becomes
√6.565 = 2.562 hours
Answer:
Non representative
Step-by-step explanation:
A representative sample would be a subset of a population that accurately describes some characteristic from a larger group of people.
A sample of 40 patients from a local hospital is not a big enough sample to estimate the mean cholesterol level of U.S citizens (citizens from an entire country).
Therefore, this sample would be non representative.
Answer: D
Step-by-step explanation: Plug in for x, since g(x) represents y we can set it up as y = (1/4x) ^ 2 . 4 /4 = 1 and 1 ^ 2 = 1, so y=1, which fits it.
Algebra
The equation that represents the relationship between , and the number of days he has been reading , d is p = 40 + (12 × d)
Step-by-step explanation:
Tom has read the first 40 pages of a book.
He plans to read another 12 pages each day
Since the total number of pages is p
And the Number of days required to read the book is d
if Tom read 12 pages per day, then in d days he would read 12 × d pages
h/e has already read 40 pages of the book
Then total pages of the book
p = 40 + (12 × d)
Hence, The equation that represents the relationship between , and the number of days he has been reading , d is p = 40 + (12 × d)
All sides of a rhombus are equal.
So the triangle containing the marked angle 124 degrees is isosceles and the base angles x and z are equal.
So, because there are 180 degrees in a triangle.
x + z + 124 = 180
z + z + 124 = 180 ( because m < x = m < z)
2z = 180 -124 = 56
z = 56/2 = 28 degrees (answer).
