Between what 2 integers does √23 lie?

Mathematics

1 answer:

ahrayia [7]3 years ago

6 0

Answer:

4 and 5

Step-by-step explanation:

$\because \: \sqrt{23} = 4.79583152 \\ \therefore \: 4 < \sqrt{23 } < 5 \\ so \: \sqrt{23} \: lie \: between \: the \: integers \: 4 \: and \: 5$

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An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second

AleksAgata [21]

Answer:

The probability that the second ball is red is 71%

Step-by-step explanation:

Probabilities

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

$\displaystyle P(R)=\frac{5}{7}$

The probability is's green is computed by

$\displaystyle P(G)=\frac{2}{7}$

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

$\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}$

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

$\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}$

The total probability of the second ball being red is

$\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71$

The probability that the second ball is red is 71%

7 0

2 years ago

The differences between the data points and the estimated regression line are called the

pashok25 [27]

Linear regression is a method of finding the linear equation that comes closest to fitting a collection of data points.
The better the choice of line, the closer the predicted values will be to the observed values.
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Residue = Observed Value - Predicted Value

8 0

2 years ago

Don't have clue how to do this...

Nimfa-mama [501]

I hope this explains it