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suter [353]
2 years ago
9

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r

andomly selected, find the probability that the class length is between 50.8 and 51 min.
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
5 0

Answer: the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%

Step-by-step explanation:

Given data;

lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min

hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

= ( 51 - 50.8) × 1/2

= 0.2 × 0.5

= 0.1 ≈ 10%  

therefore the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%  

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love history [14]

Answer:

B. x < -1

Step-by-step explanation:

Hello!

Let's put them in order from greatest to least:

  • \{-2,-5,-9,-12\}

Given our possible inequalities, we need to find the inequality that contains all of these values.

The inequality that works is x < -1, as <u>all values are less than -1.</u>

Therefore, the answer is B. x < -1.

4 0
1 year ago
Knife is 3 times cost of spoon<br> 9 spoons and 12 knifes is £82.80<br> what is 1 knife
xenn [34]

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

  • A knife is 3 times the cost of the spoon.
  • 9 spoons and 12 knives costs £82.80.

Solution :

  • This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
  • Linear calculations that requires more than one variable can be done with the help of linear equations.
  • The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

<h3>9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84</h3>

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  1.84 x 3 = 5.52

3 0
2 years ago
Express the given number in exponential form.
Burka [1]

Answer:

Step-by-step explanation:

x^y

7 0
3 years ago
What is the equation of the line passing through the points (-4,-7) and (8,-13)
Valentin [98]

Answer:

6/-12 = -1/2

Step-by-step explanation:

do you want an explanation?

btw, plz brainliest :)

6 0
3 years ago
Read 2 more answers
4) 4x + 3y = 56<br> 2x + y = 24<br> Solve using elimination please show work
lesya [120]

Answer:

x = 8     y = 8

Step-by-step explanation:

Multiply 2nd equation by -3 to get -6x - 3y = -72

Now  4x + 3y = 56

         <u>-6x - 3y = -72</u>

         -2x      =  -16

            x = 8

Substitute x = 8 into the 2nd equation

2(8) + y = 24

16 + y = 24

y = 8

Check:  Substitute the values into the 1st equation

4(8) + 3(8) = 32 + 24 = 56  So we have the correct values for x and y

7 0
3 years ago
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