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RSB [31]
3 years ago
13

What is the expression for the sum of the first n odd numbers starting 1+3+5+.....

Mathematics
2 answers:
Reptile [31]3 years ago
7 0

Answer:

2n-1

Step-by-step explanation:

labwork [276]3 years ago
6 0

Answer:

(2n-1)

Step-by-step explanation:

The expression will be (2n-1) where n is the index of the odd number you wanna find

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Which of the following are true about regression with one predictor variable (often called "simple regression")? Check all that
AfilCa [17]

Answer:

<h3>A. The slope describes the amount of change in Y for a one-unit increase in X .</h3><h3>B. The regression equation is the line that best fits a set of data as determined by having the least squared error.</h3>

Step-by-step explanation:

In statistics, linear regression is a analysis we do to describe the relationship between two variables. With this study, we pretend to know if there's a positive or negative correlation between those variables, if that correlation is strong or weak.

In a linear regression analysis, we modeled the data set using a regression equation, which is basically the line that best fits to the data set, this line is like the average where the majority of data falls. That means choice A is right.

When we use linear equations, we need to know its characteristics, and the most important one is the slope, which is the ratio between the dependent variable and the independent variable. Basically, the slope states the unit rate between Y and X, in other words, it states the amount of Y per unit of X. That means choice B is correct.

Therefore, the correct answers are A and B.

4 0
3 years ago
The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the
erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes  is 0.4786.

Step-by-step explanation:

The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, <em>β</em> = 19 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter \lambda=\frac{1}{\beta}=\frac{1}{19}.

The probability distribution function of <em>X</em> is:

f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...

Compute the value of the event (<em>X</em> > 14) as follows:

P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786

Thus, the probability that the wait time is greater than 14 minutes  is 0.4786.

7 0
3 years ago
Find the area of the composite figure. (round to the nearest hundredth)
8090 [49]
We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]

[area of rectangle]=b*h
where
b=the base
h=the height 
[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²

[area of a circle]=pi*r²
where 
r=the radius
r=4.1/2-------> 2.05 cm
the figure is a half circle
then 
[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²

[the area of composite figure]=35.26+6.60--------> 41.86 cm²

the answer is
41.86 cm² 

8 0
3 years ago
Is this a function?
Anna [14]
If their is supposed to be a picture I don’t see one
7 0
3 years ago
It is -12. 5°c outside when the temp starts increasing by 2. 5°c each hour. How long will it take for the temp to reach-5°c
lara31 [8.8K]

Answer:

3 hours

Step-by-step explanation:

12.5/2.5 = 5
then convert it to negative

7 0
2 years ago
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