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LuckyWell [14K]
3 years ago
7

Help please. Thx! If you did

Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

<h2><em><u>See in attachment and Mark as brainleist please.</u></em></h2>

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According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is,
amm1812

Complete Question

According to a study conducted by the Toronto-based social media analytics firm Sysomos, 75% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January ). Suppose we randomly select tweets.

a. What is the expected number of these tweets with no reaction (to the nearest whole number)?

b. What are the variance (to 2 decimals) and standard deviation (to 4 decimals) for the number of these tweets with no reaction? Variance Standard deviation

Answer:

a

The mean is  \mu = 150

The variance \sigma^2 =37.5

The standard deviation is \sigma \approx 6.1237

Step-by-step explanation:

A binomial distribution is mathematically represented as B(n,p)

where n denotes the number of independent trials  =200

    And p denote the probability of success  = 0.75

     We also have the probability of failure which is denoted as q and is equivalent to 1-p

if p and q are constant then

In binomial distribution the probability of x success and (n-x) is mathematically represented as

           P[X =x] =[\left n} \atop x}} \right. ] p^x (1-p)^{n-x}

Where x= 0,1,2,...,n for 0\le p \le 1

Now [\left n} \atop x}} \right. ]  = \frac{n!}{x(n-x)!}

Now the mean(Expected number ) of these probability in binomial distribution is mathematically represented as

                  \mu = np

                     = 200 *0.75 = 150

And the variance is mathematically represented as

                 \sigma^2 = np(1-p)

                    = 200 * 0.75 (1-0.75) = 37.5

And the standard deviation is mathematically represented as

                     \sigma = \sqrt{np(1-p)}

                       = \sqrt{200 *0.75(1-0.75)} =\sqrt{37.5} \approx 6.1237

We can obtain the standard z -score of a d

6 0
3 years ago
Compare the quantities in Column A and Column B.
GaryK [48]

The y-intercept of 2y = 3x - 4 and the y-intercept of 4x - 2y=4 are equal

The equations are given as:

2y = 3x - 4

4x - 2y=4

Make y the subject in both equations

<u>First equation</u>

2y = 3x - 4

y = \frac 32x - 2

<u>Second equation</u>

4x - 2y=4

y = 2x - 2

A linear equation is represented as:

y = mx + b

Where b represents the y-intercept

So: By comparison,

b_1 = 2 --- the y-intercept of the first equation

b_2 = 2 --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of 2y = 3x - 4 and the y-intercept of 4x - 2y=4 are equal

Read more about y-intercepts at:

brainly.com/question/4015585

6 0
3 years ago
The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee
adoni [48]

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

4 0
3 years ago
Help me with questions 8 and 9 for 20 POINTS!!!!!!
rewona [7]

Answer:

hehejejejjenene

Step-by-step explanation:

sjjshenebjsjsjwjjejenene .....

hope it helps

5 0
3 years ago
Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
geniusboy [140]

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

4 0
2 years ago
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