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Iteru [2.4K]
3 years ago
15

Simplify √6 \ √2+√3. + 3√2 \ √6+√3. + 4√3 \ √6+√2

Mathematics
2 answers:
Paladinen [302]3 years ago
4 0
Here's what I got hope it helps :)

Mekhanik [1.2K]3 years ago
3 0
First you would need to combine like terms. do you know how to do that?
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3 years ago
5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.
Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

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.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \mu = 1511, \sigma = 312

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

1.645 = \frac{X - 1511}{312}

X - 1511 = 1.645*312

X = 2024

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \mu = 21.1, \sigma = 5.1. So

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

1.645 = \frac{X - 21.1}{5.1}

X - 21.1 = 1.645*5.1

X = 29.49

The equivalent ACT score is 29.49.

5 0
2 years ago
Find PQ if possible
cupoosta [38]

Answer:

11 units.

Step-by-step explanation:

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2 years ago
Ashley bought 6 yds of ribbon for $5.28. What ratio is proportional to this?
lara31 [8.8K]
My best guest would be A.
6 0
3 years ago
Read 2 more answers
Drag each tile to the type of interest rate it describes
sertanlavr [38]

Answer:

Nominal Interest Rate: Does not consider inflation  provides a sense of  purchasing power

Real Interest Rate: It describes the stated interest rate on  an account  and also considers inflation

Step-by-step explanation:

Real interest rate  can be defined as the Nominal interest rate minus the inflation rate.

Nominal Interest Rate is the interest rate without taking into account the inflation

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