Each letter from the word MATHEMATICS is written on a separate slip of paper. The 11th slips of paper are placed in a hat and tw
1 answer:
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Answer:
a) Option D) 0.75
b) Option D) 0.3
Step-by-step explanation:
We are given the following in the question:
Percentage of students who choose Western riding = 35%
Percentage of students who choose dressage= 45%
Percentage of students who choose jumping = 50%
Percentage of students who choose both dressage and jumping = 20%
Percentage of students who choose Western and dressage = 10%
Percentage of students who choose Western and jumping = 0%
Thus, we can say
Formula:
a) P(student chooses dressage or jumping)
b) P(student chooses neither dressage nor Western riding)
first invert fraction of the slope from 4/1 to 1/4 and switch sign. then figure out the y-intercept
the algebraic approach would work like this:
-4x + 10 = 1/4x + b
plug in what you got, here: the intersection information
-4*(4) + 10 = 1/4*(4) + b
-16 + 10 = 1 + b
-6 = 1 + b
-7 = b
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.093
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that
What is the margin of error for this estimate?
The margin of error for this estimate is of 14.79 yards per game.