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4 years ago

How do you know when you have found the prime factorization of a number?

2 answers:

5 0

You've found the prime factorization when all of your factors are prime. They can't be divided into any smaller factors.

guapka [62]4 years ago

3 0

You know because all the factors are prime, none of them are one, and they multiply to make said number.

Hope this helps :)<span />

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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

4 years ago

Find the equation of the line.<br> Use exact numbers.

gladu [14]

Answer:

y = 2/3x + 4

Step-by-step explanation:

Step 1: Find slope

m = (4-0)/(0+6)

m = 2/3

Step 2: Write in y-int (0, 4)

y = 2/3x + 4

8 0

3 years ago

Work out <br> 5/25+2/50+7/100

bixtya [17]

Answer:

The answer is 31/100

Step-by-step explanation:

5/25 + 2/50 + 7/100 = 31/100

8 0

2 years ago

The sum of two numbers are 62 and the difference is 18. Wjat are the numbers

ddd [48]

Let the two numbers be x and y, then

x + y = 62 . . . . . . . (1)
x - y = 18 . . . . . . . .(2)

subtracting (2) from (1), we have:

2y = 44
y = 22

From (2), x + 22 = 62
x = 62 - 22 = 40

therefore, the two numbers are 40 and 22.

8 0

3 years ago

Ayuda xfa solo necesito que me ayuden

lakkis [162]

Si e uno porque estes porque

3 0

3 years ago