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Musya8 [376]
3 years ago
15

Can someone please help !! Graphing

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0
The equation would be
y = x + 3
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X2 – 3x + 10<br><br> What is the answer to this?
Tpy6a [65]

Answer:

-1x+10

Step-by-step explanation:

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
Helene is finding the sum (9 10i) (–8 11i). She rewrites the sum as (–8 11)i (9 10)i. Which statement explains the property of a
Andreyy89

She made the mistake of grouping unlike terms and factorizing.

Given that

Helene is finding the sum (9 + 10i) + (–8 + 11i).

She rewrites the sum as (–8 + 11)i + (9 + 10)i.

We have to determine

Which statement explains the property of addition that she made an error in using?

According to the question

The mistake she did is in the second term distributing.

(9+10i) is not equal to (9+10)i

Similarly (-8+11i) is not equal to (-8+11)i.

The correct method she should have done is given below;

Grouping real terms together and imaginary terms together and finding the sum is,

\rm =  (9 + 10i) + (-8 + 11i)\\\\= 9+10i-8+11i\\\\= (9-8) +(10i+11i)\\\\=1+21i

Hence, she made the mistake of grouping unlike terms and factorizing.

To know more about Complex Number click the link given below.

brainly.com/question/10078818

6 0
3 years ago
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