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Otrada [13]
2 years ago
15

Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4

. determine the smallest value of n so that p(1<=x)>=0.7
Mathematics
1 answer:
Llana [10]2 years ago
6 0

To answer problems like this you have to use binomial:

P (x > 1) = 1 – p (0 < x < 1) > .7 

So:

1 – p (0) – p (1) > .7 

1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7 

Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)

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Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
Paha777 [63]

Answer:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

Step-by-step explanation:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

tan = opp/adj = 9.8/6.9

tan -1 = 1 / tan = 1 / (9.8 /6.9) = 6.9 /9.8

4 0
1 year ago
Read 2 more answers
The data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 4141 years old. 2828
solong [7]

Answer:

37th percentile.

Step-by-step explanation:

We have been given a data set that represents the ages of 36 executives. We are asked to find the percentile that corresponds to an age of 41 years.

28, 29, 29, 32, 32, 33, 34, 34, 34, 34, 37, 37, 38, 41, 41, 42, 45, 45, 47, 47, 47, 48, 50, 51, 53, 56, 56, 56, 61, 61, 62, 63, 64, 64, 65, 66.

Let us count the number of data points below and at 41.

We can see that the number of data points at and below 41 is 13.

We will use percentile formula to solve our given problem.

\text{Percentile rank of x}=\frac{\text{Number of values below x}}{\text{Total number of data points}}\times 100

\text{Percentile rank of 41}=\frac{13}{36}\times 100

\text{Percentile rank of 41}=0.361111\times 100

\text{Percentile rank of 41}=36.11\approx 37

Therefore, the percentile rank that corresponds to age of 41 years old is 37th percentile.  

8 0
2 years ago
The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =y equals Start
const2013 [10]

Answer:

y = \frac{1}{5}x

Step-by-step explanation:

Given

Yearly Cost for members; y = \frac{1}{10}x + 6

Required

Determine the yearly cost for non members

From the question, we understand that:

<em>A non member pays $0.20 for each game;</em>

Yearly cost is then calculated as thus;

y = Amount * Number of Games

Where:

Amount = $0.2 and Number of Games = x

y = 0.20 * x

Convert 0.2 to fraction

y = \frac{2}{10} * x

Divide the numerator and the denominator by 2

y = \frac{1}{5} * x

y = \frac{1}{5}x

<em>Hence, the yearly cost for non members is </em>

y = \frac{1}{5}x

6 0
2 years ago
Read 2 more answers
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices
djyliett [7]

Answer: 33.041666

Step-by-step explanation:

Given: The translated equation : 300x+y = 10000

To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get

300x+87.5 = 10000

Subtract 87.5 from both the sides , we get

300x=9912.5

Now, divide 300 on both the sides, we get

x=\frac{9912.5}{300}\\\\\Rightarrow x=33.041666666

3 1
1 year ago
Read 2 more answers
Emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily
Olin [163]
Her mother will donate $6 to Emily
Step by Step:
If emily’s mom pledges $0.40 every .25 miles u multiply .40*15
5 0
1 year ago
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