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SCORPION-xisa [38]
3 years ago
5

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.

0 minutes. Find the probability that a given class period runs between 50.75 and 51.25 minutes.
Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answer: 0.05

Step-by-step explanation:

Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]

The probability density function will be :-

f(x)=\dfrac{1}{56-46}=\dfrac{1}{10}=0.1\ \ , 46

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

P(50.75

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05

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S is located at (9 -3) point T is located at (4 -3)
cupoosta [38]

Answer:

5

Step-by-step explanation:

The distance formula is:

d = \sqrt {\left( {x_2 - x_1} \right)^2 + \left( {y_2 - y_1} \right)^2 }

We can plug in the given coordinates into the equation:

d = \sqrt {\left( {4 - 9} \right)^2 + \left( {-3 - (-3)} \right)^2 }\\d = \sqrt {\left( {-5} \right)^2 + \left( {-3+3} \right)^2 }\\d = \sqrt{25 + \left( {0} \right)^2 }\\d=\sqrt{25+0}\\d=\sqrt{25}\\d=5

8 0
3 years ago
Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3 3, negative 1 over 2, −1.
Mars2501 [29]

Answer:

Option 4 - -1.4,\ -\frac{1}{2},\ \frac{1}{5},\ 3

Step-by-step explanation:

To find : Which set of rational numbers is arranged from least to greatest?

Solution :

The set of rational numbers are

3,\ \frac{1}{5},\ -1.4,\ -\frac{1}{2}

Writing all number in one form,

\frac{1}{5}=0.2

-\frac{1}{2}=-0.5

Now, -1.4<-0.5<0.2<3

From least to greatest the set of natural numbers are

-1.4

So, -1.4,\ -\frac{1}{2},\ \frac{1}{5},\ 3

Therefore, option 4 is correct.

7 0
3 years ago
Read 2 more answers
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