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Leno4ka [110]
3 years ago
9

What is the domain of f(x)=cos(x)

Mathematics
1 answer:
hammer [34]3 years ago
6 0
The domain of f(x) = cos(x) is  ( - infinity , infinity) or all real numbers
You might be interested in
100 POINTS! College Statistics
kirza4 [7]

(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.

These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.

The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.

(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.

We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.

(c) The null hypothesis is that <u>the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.</u>

We can also rewrite this as:

  • H₀: μ₁ = μ₂
  • where μ₁ is the mean collision claims for 20-24 year old drivers
  • and μ₂ is the mean collision claims for 30-59 year old drivers

The alternative hypothesis is that the <u>mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers</u>.

We can rewrite this as:

  • H₁: μ₁ > μ₂
  • Our variables have already been defined

(d) In order to calculate the p-value, we must find the test statistic first.

We can do so by using this formula:

  • \displaystyle t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}  }}

We are given these variables in the problem:

  • x_1=4590
  • s_1=2302
  • x_2=3670
  • s_2=2029
  • n_1=40
  • n_2=40

Substitute these variables into the formula for the test statistic.

  • \displaystyle t=\frac{4590-3670}{\sqrt{\frac{2302^2}{40} +\frac{2029^2}{40} } }

You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.

Your test statistic should be: t = 1.8962.

The calculator should also tell you the p-value; p = .0308.

(e) Since p = .0308 < α = .1, <u>reject</u> the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.

4 0
2 years ago
Natalie saved $20 when she purchased a new phone. The phone originally cost $125. What percent savings did Natalie receive on th
Free_Kalibri [48]
15% I think, I’m pretty sure I’m right
6 0
3 years ago
Help want to pass this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ddd [48]

Answer:

3.14 yd²

Step-by-step explanation:

Area = πr² = π(1)² = 3.14 yd²

6 0
3 years ago
Read 2 more answers
Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equati
crimeas [40]
A. n+q=45n+25q=20. That should be the correct answer
5 0
3 years ago
Read 2 more answers
A.Calculate the mean,median and mode.(3 points each) 1.)1,2,3,4,5 2.)2,3,4,5,6,6 3.)6,7,5,4,5,6,2,5
zlopas [31]

Answer:

Step-by-step explanation:

1.)1,2,3,4,5

mean=sum of all values/number of values

         =1+2+3+4+5/5

         =15/5

mean=3

Mode :

In the given data, no observation occurs more than once.

Hence the mode of the observations does not exist, means mode=0.

Median

1,2,3,4,5

Middle value is 3 so the median is 3.

2.)2,3,4,5,6,6

mean=sum of all values/number of values

         =2+3+4+5+6+6/6

         =26/6

mean =4.33

Mode

      is that value of the observation which occurs maximum number of times so here mode is 6.

Median

2,3,4,5,6,6

 4+5/2

9/2

median=4.5

3.)6,7,5,4,5,6,2,5

mean=sum of all values/number of values

         =6+7+5+4+5+6+2+5/8

        =40/8

mean =5

Mode

is that value of the observation which occurs maximum number of times so here mode is 5

Median

2,4,5,5,5,6,6,7

5+5/2

10/2

median=5

 

5 0
3 years ago
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