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3 years ago

Between which two consecutive integers does the square root of 830 lie

Mathematics

1 answer:

vodomira [7]3 years ago

8 0

28^2=784

29^2=841

784<830<841

therefore sqrt784<sqrt830<sqrt841

therefore 28<sqrt830<29

Done!

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cestrela7 [59]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p

Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80 - 77}{4.9}$

$Z = 0.61$

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that $X = 78, \mu = 75, \sigma = 3.7$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 78}{3.7}$

$Z = 0.81$

Rachel's z-score was of 0.81.

6 0

2 years ago

Is 1/4 of 200 greater than 1/2 of 100

MAVERICK [17]

No beacuse 1/4 would be less that 1/2 it's common sense

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3 years ago

Complete the following equation using <, >, or = 120% ___ 1

kvasek [131]

To solve these types of problems, we need to convert the two values into the same form.

We know that 1 = 1.00, as adding zeroes to the end of a decimal doesn't change the value.

To change a decimal into a percentage, we multiply the decimal by 100 and add a percent sign.

1.00 * 100 = 100%

Therefore, 1 = 100%

Because 120% is greater than 100%, thus,

120% > 1

3 0

3 years ago

Between which two consecutive integers does the square root of 830 lie ​

Between which two consecutive integers does the square root of 830 lie