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nikdorinn [45]
2 years ago
7

On a standardized exam, the scores are normally distributed with a mean of 145 and a standard deviation of 25. Find the z-score

of a person who scored 210 on the exam
Mathematics
1 answer:
Kryger [21]2 years ago
5 0

Answer:

z = 2.6

Step-by-step explanation:

<u>Use the formula for z-score</u>

z=\frac{x-\mu}{\sigma}\\ \\z=\frac{210-145}{25}\\ \\z=\frac{65}{25}\\ \\z=2.6

This tells us that this person's score of 210 places them 2.6 standard deviations above the mean

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1500 soldiers arrive at a training camp. A few soldiers desert the camp. The drill sergeants divide the remaining soldiers into
iren [92.7K]

Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

(1431-3)/11=1428/11=129.82\\\\(1466-3)/11=1463/11=133

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

The deserters are 34:

D=1500-1466=34

6 0
3 years ago
State the domain of d.
tester [92]

d(x) = { (x,y): y = sqrt(x) and y >=0 }

since sqrt function requires x to be >=0 so

<u>x >= 0</u>

4 0
3 years ago
Read 2 more answers
What is 49.2 L in mL
Agata [3.3K]

42.9 * 1000

= 42900 ml

5 0
3 years ago
How do I simplify the fraction 125/186
pogonyaev
125/186 cannot be simplified. It is already in simplest form.
6 0
3 years ago
Please help with step by step. Thank you
o-na [289]

Answer:

  • SU = 2
  • PX = 6 2/3

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

  (UT)(UQ) = (US)(UW)

  (1.5)(4) = (SU)(3)

  SU = (4)(1.5)/3

  SU = 2

__

b. Secants PT and PX intersect at P. Thus ...

  (PQ)(PT) = (PR)(PX)

  PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

  PX = 6 2/3

4 0
3 years ago
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