Luis is doing his math homework. He has 30 problems in all. After an hour, he only has 1/6 of those problems left. How many problems does he have left?

Answers

Answer 1

Answer:

Answer:

$\huge\boxed{5}$

Step-by-step explanation:

Luis has 30 problems and after one hour, $(1)/(6)$ of those problems are left. This means that the total number of problems left will be $30 \cdot (1)/(6)$ .

Multiplying by a fraction is the same as dividing by a whole. The denominator of $(1)/(6)$ is 6, so we can divide 30 by 6.

$30 / 6 = 5$

Hope this helped!

Answer 2

Answer:

Answer: 25

Step-by-step explanation: 1/6 of 30 is 5, so 30 minus 5 equals 25.

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In January 2005, the population of California was 36.8 million and growing at an annual rate of 1.3%. Assume that growth continues at the same rate. a) By how much will the population increase between 2005 and 2030

Answers

Answer:

11,960,000 populations.

Step-by-step explanation:

Population of California at year 2005 = 36.8 million

If the population is growing at annual rate of 1.3%, then yearly increment will be:

1.3% of 36.8 million

= 1.3% of 36,800,000

= 1.3/100 * 36,800,000

= 1.3 * 368,000

= 478,400

The number of yeas between 2005 and 2030 is 25years

The population increase between 2005 and 2030 will be 25 * 478,400

= 11,960,000

Hence the population would have increased by 11,960,000 populations between 2005 and 2030

Final answer:

Using the compound interest formula commonly used in mathematics, the population of California is expected to increase by approximately 13.04 million between 2005 and 2030, assuming an annual growth rate of 1.3%.

Explanation:

The problem here is related to compound interest in mathematics. Here, the population of California is growing annually at a rate of 1.3%, which means it's compounding, much like interest in a bank. To calculate the growth in population from 2005 to 2030, or 25 years, we can use the formula for compound interest which is P(1 + r/n)^(nt), where P is the initial population, r is the annual growth rate, n is the number of times the population grows per year, and t is the time in years.

In this case, P is 36.8 million, r is 1.3% or 0.013, n is 1 (since the population grows once a year), and t is 25 (the number of years from 2005 to 2030). If we plug these values into the formula, we get: 36.8(1 + 0.013/1)^(1*25).

This simplifies to a population of approximately 49.84 million in 2030. Therefore, the population increase over those 25 years is: 49.84 million - 36.8 million = 13.04 million.

Learn more about Compound Interest here:

brainly.com/question/34614903

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Use the given level of confidence and sample data to construct a confidence interval for the population proportion p.n= 195, p^=p hat= 0.831, Confidence level=95%

a.) 0.777

Answers

Answer:

The 95% confidence interval for the population proportion is (0.778, 0.884).

Step-by-step explanation:

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

The sample proportion is p=0.831.

The standard error of the proportion is:

$\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.831*0.169)/(195)}\n\n\n \sigma_p=√(0.00072)=0.027$

The critical z-value for a 95% confidence interval is z=1.96.

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

$MOE=z\cdot \sigma_p=1.96 \cdot 0.027=0.053$

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

$LL=p-z \cdot \sisgma_p = 0.831-0.053=0.778\n\nUL=p+z \cdot \sisgma_p = 0.831+0.053=0.884$

The 95% confidence interval for the population proportion is (0.778, 0.884).

PLEASEEE HELPPP

Solve for x:

Answers

Second option, just do Pemdas backwards.

On a farm there are 50 sheep and a farmer how many feet are there in total

Answers

Answer:

200 sheep legs and 2 farmer legs, or 202 legs in total.

Step-by-step explanation:

One sheep has 4 legs. and there are 50 sheep. So, we have to multiply 50*4 to get 200. Then, we have to add the two legs the farmer has. 200 + 2 = 202. Therefore, there are 202 legs on the farm.

between which two numbers is the whole number qoutient of 88 divided by 5 write the numbers in the boxes (the number choices: 5, 10, 15, 20, 25)