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Vesna [10]
3 years ago
12

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.048.0 and

53.053.0 minutes. Find the probability that a given class period runs between 50.550.5 and 51.7551.75 minutes.
Mathematics
2 answers:
Paladinen [302]3 years ago
8 0

Answer:

The probability of selecting a class that runs between 50.550.5 and 51.7551.75 minutes is 0.24

Step-by-step explanation:

A uniform distribution is a flat distribution that has the same probability density for every number. The area under the graph of the distribution must be 1. Since this distribution runs from 48.048.0 to 53.053.0  minutes,

it has a range of 5.005 (53.053.0 - 48.048.0).

The density must be 1/5.005 ≅ 0.2, so that 5.005*0.2 ≅ 1.0.

 

To find the probability of being between two numbers multiply the range between the numbers by the probability density.

range:51.7551.75 - 50.550.5 ≅ 1.2

1.2*0.2 = 0.24

P(50.550.5 < x < 51.7551.75) = 0.24

The probability of selecting a class that runs between 50.550.5 and 51.7551.75 minutes is 0.24

Lady bird [3.3K]3 years ago
5 0

Answer:

Probability = 0.241

Step-by-step explanation:

We can find the probability that a given class period runs through the given time recognizing that a uniform probability distribution is mostly a rectangle with an area equal to 1.

Therefore,

Probability = 51.7551 - 50.550/53.053 - 48.0480 = 1.2057/5.005

= 0.241

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Sweetums finds that the cost of making a certain candy bar .15 per bar and that the fixed rate is 600 per week if each bar sells
PilotLPTM [1.2K]

We know that:

Profit = Revenue - Cost

Let us say x number of candies are made per week.

Finding Cost per week:

Cost of making 1 bar = 0.15

Cost of making x bars = 0.15x

Fixed rate of making candies per week = 600

Total cost of making x candies per week = 600 + 0.15x

Now let us find Revenue:

Selling price of each bar = 1.50

Selling price of x bars = 1.50x

Now we have to find profit,

Profit = Revenue - Cost

In order to have profit Revenue - Cost >0

So plugging values of revenue and cost to get number of candies,

1.50x-(0.15x+600)>0

1.50x-0.15x-600>0

1.35x-600>0

1.35x>600

x>444.44

Rounding off

x>444

Answer: The company must sell greater than 444 candies in order to make profit.

7 0
3 years ago
Holly has 65 stamps in het collection. To expand the collection, she is planning to buy some books of stamps
ahrayia [7]

Answer:

i think if she buys 5 books the she will have 90 stamps cuz 1 book cost 18 stamps then 5 books = <u>18x5=90</u>

Step-by-step explanation:

5 0
3 years ago
This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =
wel

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

  • p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

  • q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

  • r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

  • s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

4 0
3 years ago
Read 2 more answers
Answer correctly please !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
valina [46]

Answer:

74º

Step-by-step explanation:

  • Ray TV bisects ∠RTS, so ∠RTV=∠STV=(16x-6)º
  • We also know that ∠RTS=(26x+18)º
  • So, (16x-6)º+(16x-6)º=(26x+18)º
  • We don't need parenthesis, 16x-6+16x-6=26x+18
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  • Add, 32x=26x+30
  • Subtract, 6x=30
  • Divide, x=5
  • ∠RTV now is [16(5)-6]º=(80-6)º=74º
8 0
3 years ago
4y=-3-x<br> 7x-4y=43<br> elimination please help!!
riadik2000 [5.3K]

Answer:

x = 5 y =-2

Step-by-step explanation:

You can substitute the 4y in,
7x - (-3-x) = 43
7x + 3 + x = 43
8x + 3 = 43
8x = 40
x = 5

Then plug the x back into the equation,
4y = -3 - 5
4y = -8
y = -2

4 0
2 years ago
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