Definition of eo-primes or relatively primes: Two numbers are said to be co-prime or relatively prime If their HCF IS 1 Hence to prove 847 and 2160 as co-prime numbers we will find their HCF and which should be 1

New steps to find HCF will be as under

2160 = 847 x 2+ 466
847 = 466 ×1 +381
466 = 381 x 1 + 85
381 =85 x 4+ 41
85 =41 x 2+3
41 =3 x 13+ 2
3 =2 x 1+1
2 =1 x 2+0

Therefore, the HCF=1 Hence, the numbers are co-primes (relatively prime).

5 0

3 years ago

Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. (a) Descri

OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

$\mu = 74$

and

$\sigma = 6$

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

$\mu = 74$

The standard error of the means becomes the standard deviation of the sampling distribution.

$\sigma_ { \bar X } = \frac{ \sigma}{ \sqrt{n} } \\ \sigma_ { \bar X } = \frac{ 6}{ \sqrt{36} } = 1$

Part b) We want to find

$P(\bar X \:>\:75.9)$

We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

$P(73\:$

We convert to z-scores and again use the standard normal distribution table.

$P( \frac{73 - 74}{1} \:< \: z$

5 0

3 years ago

****PLEASE HELP**** Meghan spends 25% more each year for auto insurance than Scott, and together they spend $1237.50 per year. H

s344n2d4d5 [400]

Answer: Meghan spent $687.5 per year.

Step-by-step explanation:

Let x represent the amount of money that Scott spends per year for auto insurance.

Meghan spends 25% more each year for auto insurance than Scott. The value of 25% of the amount that Scott spends per year is

25/100 × x = 0.25 × x = 0.25x

Therefore, the amount that Meghan spends would be

x + 0.25x = 1.25x

If the amount that they spent together is $1237.50 per year, it means that

x + 1.25x = 1237.5

2.25x = 1237.5

x = 1237.5/2.25

x = 550

The amount that Meghan spent per year would be

1.25 × 550 = 687.5

6 0

3 years ago

At 8am Sunday morning, the temperature was 35 degrees Fahrenheit. A student recorded the change in temperature at 8:00am for the

kifflom [539]

Answer:

B. 28 degrees

Step-by-step explanation:

ok so,

the starting temperature is 35 degrees then the temperature dropped 4 degrees. making the temp 31 degrees. next the temperature rose 2 degrees, making it 33 degrees. lastly, the temperature dropped another 5 degrees making it 28 degrees out on wednesday.

so the number line showing this would be B.

3 0

3 years ago