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iris [78.8K]
3 years ago
12

PLZ HELP THIS IS ERGANT!

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0
You spelled urgent wrong.
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How to write all real numbers in set notation?
laila [671]
Hi, this is the notation for inclusion of all real numbers.

x \in \mathbb{R}

We can also state numbers which are positive or negative with a sign on top of the R notation like so:

x \in \mathbb{R}^{+} \text{ or } x \in \mathbb{R}^{-}
7 0
3 years ago
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
4 years ago
Can someone help me with question 1 and 2?
ICE Princess25 [194]

Answer:

2. 4

Step-by-step explanation:

use the formula A=ab/2

a-leg 1

b-leg 2 (base)

since it is a right triangle the height would be 2 cm and the base would be the leg (4 cm)

plus into the equation- A= 2(4)/2

8/2=4

8 0
3 years ago
Please help!! I don’t know it
xxTIMURxx [149]
1) m=2
B=8
Y=2x+8
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6 0
3 years ago
Solve the right triangle. round your answer to the nearest tenth​
mrs_skeptik [129]

Answer:

?

Step-by-step explanation:

4 0
3 years ago
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