All categories

2 years ago

Find the greatest common factor of the following monomials: 29g^5g^4 19g^3g^5

Mathematics

1 answer:

Molodets [167]2 years ago

5 0

The greatest common factor of the monomial is g³h⁴

Explanation:

Greatest common factor of the following are:

29g⁵h⁴ = 29 X g X g X g X g X g X h X h X h X h

19g³h⁵ = 19 X g X g X g X h X h X h X h X h

Common factors are = g³h⁴

Therefore, the greatest common factor of the monomial is g³h⁴

You might be interested in

Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample

TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of first time customers
p is the proportion of first time customers based on historical data

N is the sample size

For the sample proportion 0.35:

z(0.35)= $\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ -1.035

For the sample proportion 0.5:

z(0.5)= $\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

6 0

2 years ago

Solve using substitution. 4x – 7y = -18 x = 6

levacccp [35]

Answer:

Step-by-step explanation:

4(6) - 7y = -18

24 - 7y = -18

-7y= -42

y= 6

3 0

2 years ago

Read 2 more answers

Glven: F(x) = 2x - 1; G(X) = 3x + 2; H(x) = x2 Find F/G/H(2) 121 27 71

Sergio039 [100]

Answer:

3/32

Step-by-step explanation:

One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:

F(2) = 2(2) - 1 = 3

G(2) = 3(2) + 2 = 8

H(2) = (2)^2 = 4

3/8

Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32

8 0

3 years ago

Write 10 x 10 x 10 x 10 x 10 with an exponent. 10 x 10 x 10 x 10 x 10 =

lakkis [162]

Answer:

$10^5$

Step-by-step explanation:

Exponents are basically just saying how many times the number is multiplied by itself.

In the expression $10\cdot10\cdot10\cdot10\cdot10$ , we can see that 10 is being multiplied by itself 5 times.

So the exponent becomes 5, and the base is 10.

$10^5$ .

Hope this helped!

7 0

3 years ago

According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by

victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535$

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

$E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87$

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

$p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31$

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0

3 years ago