Answer:
The answer is 5/3 or 1 2/3
Step-by-step explanation:
Just multiply by 0.15 to get the tip amount and add to your original number. This gives you 32.43
Answer:
a) bijective
b) neither surjective or injective
c) injective
Step-by-step explanation:
Since we are looking from real numbers to real numbers, we want the following things
1) We want every real number y to get it. (surjective)
2) We want every y that gets hit to be hit only once. (injective).
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If we have both things then the function is bijective.
a) f(x)=5x+4 this is a line with a positive slope.
That means it is increasing left to right. Every increasing or even decreasing line is going to hit every real number y. This is a bijection.
b) g(x)=2x^2-2 is a parabola. Parabola functions always have y's that get hit more than once and not all y's get hit because the parabola is either open up or down starting from the vertex. This function is neither injective or surjective.
c) h(x)=1+(2/x) x is not 0.
1+(2/x) is never 1 because 2/x is never 0 for any x. This means the real number y=1 will never be hit and is therefore not surjective. This function is injective because every 1 that is hit is only hit once. If you want use the horizontal line test to see this.
Answer:
The first box plot is for group 2
The second box plot is for group 1
The third box plot is for group 3
Answer:
The 98% confidence interval for the mean number of car accidents per month at a specific intersection is between 18.58 and 65.42 accidents per month.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
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 = 16 - 1 = 15
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.602
The margin of error is:
M = T*s = 2.602*9 = 23.42
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 23.42 = 18.58 accidents per month.
The upper end of the interval is the sample mean added to M. So it is 42 + 23.42 = 65.42 accidents per month.
The 98% confidence interval for the mean number of car accidents per month at a specific intersection is between 18.58 and 65.42 accidents per month.