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3 years ago

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I have 2 bags of counters. The first bag contains 2 red counters and 1 blue counter. The second bag contains 1 red counter, 1 bl

ue counter and 2 yellow counters. I take a counter at random from both bags, what is the probability that two counters will be the same colour?

1 answer:

ASHA 777 [7]3 years ago

5 0

3/12, i used a tree diagram to work it out

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A submarine is located 25 meters below sea level it goes up 7 meters then goes down 38 meters wrote plan integer to represent th

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The question is somewhat confusing but assuming you mean where the submarine is after moving up 7 meters then down 38 meters the submarine would now be located 56 meters below sea level

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3 years ago

Whats the easiest way to do long division

Anastaziya [24]

Answer:

Set up the equation. On a piece of paper, write the number being divided on the right, under the division symbol, and the number doing the division to the left on the outside. ...

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hope this helps :)

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4 years ago

An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio

Lena [83]

Answer:

The width is $w = \$ 729.7$

Step-by-step explanation:

From the question we are told that

The population standard deviation is $\sigma = \% 1,000$

The sample size is $n = 50$

The sample mean is $\= x = \$ 15,000$

Given that the confidence level is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

=> $\alpha = 1\%$

=> $\alpha = 0.01$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58$

Generally margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

$E = 364.9$

The width of the 99% confidence interval is mathematically evaluated as

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substituting values

$w = 2 * 364.9$

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3 years ago

Evaluate each logarithm. 100 Points for all questions.

seraphim [82]

Basic properties that will be used:

$\log_ab^n=n\log_ab$

$x^{1/n}=\sqrt[n]x$

$\log_aa=1$

All of these expression can be written to match on or more of the patterns above.

$19.\quad\log_5\sqrt[4]{25}=\log_5(5^2)^{1/4}=\dfrac14\log_55^2=\dfrac12\log_55=\dfrac12$

$21.\quad9\ln e^3+4\ln e^5=27\ln e+20\ln e=27+20=47$

$23.\quad2\log_3\sqrt{27}=2\log_3(3^3)^{1/2}=\log_33^3=3\log_33=3$

$25.\quad4\log_2\sqrt8=4\log_2(2^3)^{1/2}=2\log_22^3=6\log_22=6$

$27.\quad\log_3\sqrt[6]{243}=\log_3(3^5)^{1/6}=\dfrac16\log_33^5=\dfrac56\log_33=\dfrac56$

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3 years ago

Read 2 more answers

If 1 kilogram = 2.206 pounds , how many pounds are in a gram

dimaraw [331]

Answer:

0.002206 pounds in a gram

Step-by-step explanation:

2.206/1000 = 0.002206

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3 years ago