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Komok [63]
3 years ago
8

In one settlement, there were 29 horses. There were 9 more brown horses than black horses. How many of each color were there?

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

There are 19 brown horses and  10 black horses.

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Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in
arsen [322]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in the summer of 2014, Google's Chrome browser exceeded a 20% market share for the first time, with a 20.37% share of the browser market (Forbes website, December ). For a randomly selected group of 20 Internet browser users, answer the following questions.

a. Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser (to 4 decimals). For this question, if you compute the probability manually, make sure to carry at least six decimal digits in your calculations.

b. Compute the probability that at least 3 of the 20 Internet browser users use Chrome as their Internet browser (to 4 decimals).

c. For the sample of Internet browser users, compute the expected number of Chrome users (to 3 decimals).

d. For the sample of Internet browser users, compute the variance and standard deviation for the number of Chrome users (to 3 decimals).

Answer:

a. P(x = 8) = 0.024273

b. P(x ≥ 3) = 0.8050

c. E(x) = 4.074

d. var(x) = 3.244 and SD = 1.801

Step-by-step explanation:

The given problem can be solved using the binomial distribution

P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ  

Where n is the number of trials, x is the variable of interest and p is the probability of success.  

For the given problem,

Probability of success = p = 20.37% = 0.2037

Probability of failure = q = 1 - p = 1- 0.2037 = 0.7963

Number of trials  = n = 20

a. Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser.

In this case, we have x = 8

P(x = 8) = ²⁰C₈×0.2037⁸×(1 - 0.2037)²⁰⁻⁸  

P(x = 8) = 125970×0.2037⁸×0.7963¹²

P(x = 8) = 0.024273

b. Compute the probability that at least 3 of the 20 Internet browser users use Chrome as their Internet browser (to 4 decimals).

P(x ≥ 3) = 1 - P(x < 2)

But we know that

P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)

So,

P(x ≥ 3) = 1 - [ P(x = 0) + P(x = 1) + P(x = 2) ]

For P(x = 0):

Here we have x = 0, n = 20 and p = 0.2037

P(x = 0) = ²⁰C₀×0.2037⁰×(1 - 0.2037)²⁰⁻⁰

P(x = 0) = 0.0105

For P(x = 1):

Here we have x = 1, n = 20 and p = 0.2037

P(x = 1) = ²⁰C₁×0.2037¹×(1 - 0.2037)²⁰⁻¹

P(x = 1) = 0.0538

For P(x = 2):

Here we have x = 2, n = 20 and p = 0.2037

P(x = 2) = ²⁰C₂×0.2037²×(1 - 0.2037)²⁰⁻²

P(x = 2) = 0.1307

Finally,

P(x ≥ 3) = 1 - [P(x = 0) + P(x = 1) + P(x = 2)]  

P(x ≥ 3) = 1 - [ 0.0105 + 0.0538  + 0.1307]  

P(x ≥ 3) = 1 - [0.1950]

P(x ≥ 3) = 0.8050

c. For the sample of Internet browser users, compute the expected number of Chrome users (to 3 decimals).

The expected number of Chrome users is given by

E(x) = n×p

Where n is the number of trials and p is the probability of success

E(x) = 20×0.2037

E(x) = 4.074

d. For the sample of Internet browser users, compute the variance and standard deviation for the number of Chrome users (to 3 decimals).

The variance for the number of Chrome users is given by

var(x) = n×p×q

Where n is the number of trials and p is the probability of success and q is the probability of failure.

var(x) = 20×0.2037×0.7963

var(x) = 3.244

The standard deviation for the number of Chrome users is given by

SD = √(n×p×q)

SD = √var(x)

SD = √(3.244)

SD = 1.801

5 0
3 years ago
The diagram below shows part of the graph of y=g(x) .
son4ous [18]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The related function is reflected across the x-axis and translated up 3 units. Effectively, it is reflected across the line y = 3/2. The graph of the related function is shown in blue in the attachment.

6 0
2 years ago
ticket sales for a local concert totaled $101,244 yesterday. After the ticket window closed today, the cashiers counted 968 tick
STALIN [3.7K]

The cost of one concert ticket is approximately  $148.59.

The tickets sales for the local sales is totalled $101, 244 yesterday.

ticket sales yesterday = $101244

He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)

The cost of one ticket can be calculated below:

cost of one ticket = 143,836 / 968

cost of one ticket = 148.590909091

cost of one ticket ≈ $ 148.59

read more: brainly.com/question/15471320?referrer=searchResults

3 0
2 years ago
3x-8&lt;23 and -4x+26&gt;6
Papessa [141]

Answer:

3x-8<23 and -4x+26>6

x<31/3            x<5

Step-by-step explanation:

3x-8<23

Add 8 to both sides

3x<31

Then divide 3 to both sides

x<31/3


and -4x+26>6

Minus 26 to both sides

-4x>-20

You divide -4 to both sides

Keep in mind that everytime you divide a negative the inequality will change so > will be <

x<5

3 0
2 years ago
Use the quadratic formula to solve the equation <br> X^2+9X+20=0
lions [1.4K]

Answer:

x=-4

x=-5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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