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Mathematics

1 answer:

Naya [18.7K]3 years ago

6 0

Answer:

The student spent 60 minutes studying and got a 90 on the test

Step-by-step explanation:

The x coordinate is 60, which means they spent 60 minutes studying

The y coordinate is 90 which means they got a score of 90 on the test

The student spent 60 minutes studying and got a 90 on the test

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Each score in a set of data is multiplied by 3, and then 4 is subtracted from the result. If the original mean is 10 and the ori

olganol [36]

The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

According to the question,

Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.

First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.

Mean: 10*3 = 30

Standard deviation: 5*3 = 15

Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.

Applying change of origin in the above mean and standard deviation

Mean: 30 - 4 = 26

Standard deviation: Remains same = 15

Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

Learn more about Mean and standard deviation here

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2 years ago

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Mkey [24]

Answer:

x=3.6

Step-by-step explanation:

multiply 4 by 9 and then divide by 10

5 0

3 years ago

Read 2 more answers

If f(x) = 2x - 4 and g(x) = x^2+3, find each value.<br><br> 19. (f - g)(x)<br> 20. (f • g)(x)

just olya [345]

Step-by-step explanation:

$(f - g)(x) = f(x) - g(x) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2x - 4) - ( {x}^{2} + 3) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2x - 4 - {x}^{2} - 3 \\ \red{ \boxed{\therefore (f - g)(x) = - {x}^{2} + 2x - 7}}$