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2 years ago

Can anyone help please?

Mathematics

1 answer:

Furkat [3]2 years ago

8 0

Alternate interior angles are equal.
2x - 10 = 65 - x
2x + x = 65 + 10
3x = 75
x = 75/3 = 25
x = 25.

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2 years ago

Knight and Haslam (2010) found that office workers who had some input into the design of their office space were more productive

sleet_krkn [62]

Answer:

1. Option A

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The independent variable is the one which affects the other variable. Here two variables "design of office space" and "control by managers" control the Productivity and well-being of the workers.

Hence, the independent variable is Control of the office manager

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3 years ago

A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)

valentinak56 [21]

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The triangle could be a right triangle.

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3 years ago

Read 2 more answers

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

Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

$E(X)=n\cdot p=100\cdot 0.71=71$

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

$V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59$

Then, the standard deviation becomes:

$\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538$

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2 years ago