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9966 [12]
3 years ago
5

suppose we toss 100 fair coins and record the percentage of heads. according to the central limit theorem, the percentages of he

ads resulting from such experiments are approximately normally distributed. Find the mean and the standard deviation of this normal distribution.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

answer is attached below

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Theo is a cleaner,
GaryK [48]

Step-by-step explanation:

1 hour 50 minutes = 110 mins

1 1/2 hours = 90 mins

add all these:

110

90

85

55

35

when you add all these you get 375

every hour has 60 minutes

375 ÷ 60 = 6.15

if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.

4 0
2 years ago
A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
IRISSAK [1]
<h2>Hello!</h2>

The answer is: 23.77 hours

<h2>Why?</h2>

Total(t)=Start*2^\frac{t}{15}

Where:

Total(t) is equal to the amount for a determined time (in hours)

<em>Start</em> is the original amount

<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77

So, to know if we are right, let's replace 23.77 h in the equation:

Total(t)=100*2^\frac{23.77}{15}=299.94

and 299.94≅300

Have a nice day!

8 0
3 years ago
Read 2 more answers
This is a bonus question
Elena L [17]

Answer:

10,500

Step-by-step explanation:

See this as 2 rectangles: a box of water (28cm), and another box with the height you want (35cm)

Area of Rectangle = lwh

For the water;

50 x 30 x 28= 42000

As for the needed volume:

50 x 30 x 35 = 52500

To find how much more water, subtract the smaller volume from bigger volume.

10500 should be the final answer

3 0
2 years ago
Read 2 more answers
Sarah and her 4 friends share some cookies. If each person gets 3 cookies, how many cookies were shared? Write a mathematical eq
Darya [45]

Equation:

3 x 5 = 15

15 cookies is the answer.

Sarah and her 4 friends are 5 people in total.

They are each getting 3 cookies.

You are adding three cookies for each friend. That is the same as multiplying 5 times.

6 0
4 years ago
Read 2 more answers
HELP PLS ITS IREADY MATH IM STUCK
Jobisdone [24]
I think left bottom. Have a nice day
4 0
3 years ago
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