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miss Akunina [59]

3 years ago

5

James has 838 feet of rope. There are 17 teams of hikers. If James gives an equal amount of rope to each team, how much rope wil

l each team receive?

1 answer:

Studentka2010 [4]3 years ago

8 0

Answer:

838 ÷ 17 = 49.29 feet each

Step-by-step explanation:

divide the total rope by number of hikers equals amount of rope each hiker will receive.

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On average 113,204 aluminum cans are recycled in a minute. Approximately how many cans will be recycled in 16 days? (Express you

Vsevolod [243]

Answer:

2,608,220,160 cans will be recycled in 16 days.

Step-by-step explanation:

Idk how to do it in scientific notation Lol

8 0

3 years ago

Given the diagram below with line DE║ line AC. Find BC.

Karolina [17]

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

$\frac{BD}{DA} = \frac {BE}{EC} \\\\\therefore \frac{4}{8} = \frac {BE}{9} \\\\\therefore \frac{1}{2} = \frac {BE}{9} \\\\\therefore BE = \frac{9}{2} \\\\\therefore BE = 4.5\\\because BC = BE + EC \\\therefore BC = 4.5 + 9\\\huge \red {\boxed {\therefore BC = 13.5}} \\$

8 0

3 years ago

.To help him start a business, Cameron took out a $10,000 loan from a bank. The loan has an annual interest rate of 5%. What exp

Art [367]

Answer:

$A = 10,000(1.05t)$ where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula $A = P(1+rt)$ where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

$A = 10,000(1.05t)$

8 0

2 years ago

I need help on a mathematics question. I need an explanation.

romanna [79]

Start by dividing both sides by 2 to get $log(x)= \frac{1}{2}log(64)$ . Doing the math on the right, keeping in mind that logs have an unwritten base of 10, gives us $log_{10} (x)=.903089987$ . Rewriting this in exponential form is $10^{.903089987}=x$ . That means that x = 8. Not negative, only positive.

4 0

3 years ago

In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in

tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.35$ estimated proportion (value assumed)

$p$ true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586$

And rounded up we have that n=350

4 0

3 years ago