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Setler79 [48]
2 years ago
12

Which equation matches the statement below?

Mathematics
1 answer:
kvasek [131]2 years ago
8 0

Answer:

3(n-5)=2n+16

Step-by-step explanation:

3 lots of 'n' <em>and </em>5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)

3(5 - n)

16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have

2n + 16

if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.

3(n-5) = 2n+16

:)

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Scores for a civil service exam are normally distributed with a mean of 75 and a standard deviation of 6.5. To be eligible for c
kvasek [131]

Answer:

The lowest score you can earn and still be eligible for employment is 85.6925

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 75, \sigma = 6.5

Top 5%.

At least the 100-5 = 95th percentile.

The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

1.645 = \frac{X - 75}{6.5}

X - 75 = 1.645*6.5

X = 85.6925

The lowest score you can earn and still be eligible for employment is 85.6925

3 0
4 years ago
Read 2 more answers
Find the sum of.....
tester [92]

Answer:wrhn

Step-by-step explanation:

4 0
3 years ago
What two whole numbers is 29−−√ between?: 3 and 4 4 and 5 5 and 6 6 and 7
jolli1 [7]

The two whole numbers are 5 and 6 ⇒ 3rd answer

Step-by-step explanation:

To prove that a square root number lies between which two consecutive integers do that

  • Find a square number less than the number under the root
  • Find a square number greater than the number under the root
  • Find the square root of the square numbers, they will be the two integers that the root lies between them

∵ The number is \sqrt{29}

- Find a square number less than 29

∵ 25 is a square number

∵ 25 is less than 29

- Find a square number greater than 29

∵ 36 is a square number

∵ 36 is greater than 29

∴ 25 < 29 < 36

- Take √ for each number

∴ \sqrt{25} < \sqrt{29} < \sqrt{36}

∵ \sqrt{25}  = 5

∵ \sqrt{36}  = 6

∴ 5 <  \sqrt{29}  < 6

The two whole numbers are 5 and 6

Learn more:

You can learn more about the numbers in brainly.com/question/9621364

#LearnwithBrainly

8 0
4 years ago
What is the value of x in the equation<br> 0, when y = 15?<br> 4.
Tatiana [17]

Answer:

x =200

Step-by-step explanation:

\frac{1}{5}x - \frac{2}{3}(15) =30\\\\\frac{1}{5}x-10=30\\\\\frac{1}{5}x=30+10\\\\\frac{1}{5}x=40\\\\x = 40*5\\x= 200

8 0
3 years ago
A local hamburger shop sold a combined total of 559 hamburgers and cheeseburgers on Saturday. There were 59 more cheeseburgers s
tangare [24]
Let H be hamburger and C be chesseburger.

H+C=559
H+59=C

H+(H+59)=559
2H+59+559

2H=559-59
2H=500

H=500/2
H=250

250 hamburgers were sold on Saturday.
5 0
4 years ago
Read 2 more answers
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