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kondaur [170]
3 years ago
15

Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for whic

h the sample mean is 50. b. A score of 230 on a test for which the sample mean is 200. c. A score of 480 on a test for which the sample mean is 400. d. Cannot be determined with the information provided.
Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Answer:

d. Cannot be determined with the information provided.

Step-by-step explanation:

Z-score:

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.

Finding the better relative position:

The score with the better relative position is the one with a higher z-score.

To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.

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What is 6 tenths 20 hundredths 4 ones and 50 hundreds
Elina [12.6K]

Answer:

The answer is 25064.

Step-by-step explanation:

<u>There is a mistake in the question so the correct is below:</u>

What is 6 tenths 20 thousandths 4 ones and 50 hundreds.

Now, to solve it:

So, we arrange it in sequence:

20 thousandths 50 hundreds 6 tenths and 4 ones.

Now,

20 thousandths = 20 <u>000</u>

50 hundreds      = 50 <u>00</u>

6 tenths              = 6 <u>0</u>

4 ones                = 4

Thus, 20 thousandths 50 hundreds 6 tenths and 4 ones is :

20,000 + 5000 + 60 + 4.

= 25064.

Therefore, the answer is 25064.

3 0
3 years ago
5 miles east then 12 miles south how much faster is the direct route
IceJOKER [234]

Answer:

Therefore , the faster route distance is 13 miles.

Step-by-step explanation:

Given:

AB = 5 miles to East

BC = 12 miles to South

To Find:

AC = Faster and Direct Route = ?

Solution:

Consider ΔABC as a Right Angle Triangle, hence By Pythagoras Theorem,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(AC)^{2}=(AB)^{2}+(BC)^{2}

(AC)^{2}=5^{2}+12^{2}=169\\(AC)^{2}=169\\Square\ Rooting\\AC=\sqrt{169}=13\ miles

Therefore , the faster route distance is 13 miles.

8 0
2 years ago
The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of
Bingel [31]

Answer:

<em>(7, -4)</em>

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

<em>Hence the coordinate of B is at (7, -4)</em>

4 0
3 years ago
Sam is starting a daily log to record the number of hours he spends practicing his guitar. He begins with his log with 70 minute
myrzilka [38]
P(x) = 70 + 15x
where x = # of days
4 0
3 years ago
Which answer choice shows the number 9.54×10−3 in standard form?
almond37 [142]

Answer:

95.4

.................

7 0
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