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3 years ago

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A bowl has 3 plums and 5 pears. A second bowl has 2 plums and 4 pears. You randomly chose one piece of fruit from the first bowl

and one piece of fruit from the second bowl. What is the probability that they are both plums?

1 answer:

Snowcat [4.5K]3 years ago

5 0

3x/5y = 60% 2x/4y=50%

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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

6 0

3 years ago

Each day, I use 4 bags of milk for tea. In how much of a day wlll I use 1/2 of a bag of milk?

Slav-nsk [51]

1 day use 4 bags
? day use 1/2 bag

Cross multiply
(1•1/2)/4= 1/2•1/4= 1/8 of the day

In 1/8 of the day 1/2 of bag of milk will be used.

3 0

3 years ago

Add or Subtract to Simplify:<br> (x5 + x3) - (6x - x3 + 6x5)

ziro4ka [17]

Answer:

$\boxed{ \bold{ \boxed{ \sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}}}}$

Step-by-step explanation:

$\sf{( {x}^{5} + {x}^{3} ) - (6x - {x}^{3} + 6 {x}^{5}) }$

When there is a ( - ) in front of an expression in parentheses , change the sign of each term.

Also, remove the parentheses

⇒ $\sf{ {x}^{5} + {x}^{3} - 6x + {x}^{3} - 6 {x}^{5} }$

Collect like terms

⇒ $\sf{ {x}^{5} - 6 {x}^{5} + {x}^{3} + {x}^{3} - 6x}$

⇒ $\sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}$

Hope I helped!

Best regards!!

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3 years ago

50 Points <br> Please Help I will give more points to the person who finishes. Please!!!!

Vanyuwa [196]

Answer:

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Write an equation and solve. One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another compan

frutty [35]

16.95+.05x=22.95+.02x

Subtract .02x from each side and subtract 16.95 from each side

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x=200 minutes.

Your answer is A

6 0

3 years ago

Read 2 more answers