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3 years ago

Evaluate 3/2y - 3 + 5/3z when y = 6 and z = 3

Mathematics

2 answers:

kolezko [41]3 years ago

8 0

Answer:

-77/36 is your answer

Step-by-step explanation:

3/12 - 3 + 5/9

9/36 - 108/36 + 20/36 = -77/36

Natali [406]3 years ago

5 0

Answer:

Step-by-step explanation:

3/2y - 3 + 5/3z

y= 6 and z=3 substitute these values in

3/2 (6) -3 + 5/3 (3)

multiply

18/2 -3 + 15/3

simplify

9-3+5

6+5

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Answer:

32.0 cm

Step-by-step explanation:

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3 years ago

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.

klemol [59]

Answer:

a) the expected number of tweets with no reaction is 71 tweets

b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is

4.537 tweets (≈ 5 tweets)

Step-by-step explanation:

we can use the binomial probability distribution

P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)

where

x = number of successful events

N = population total

p = probability for success for every individual and independent event

P = probability for x successful events

in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets

a) the expected number of tweets

E(x) = N* p = 100 tweets * 71/100 = 71 tweets

b) the variance is

V(x) = N * p * (1-p)

V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )

the standard deviation is

s = √V = √20.59 tweets² = 4.537 tweets

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3 years ago

Evaluate the following using<br> powers of ten rules.<br> 104)1.042

Alinara [238K]

Answer:

0.0001042

Step-by-step explanation:

Power of tens rule states that if the denominator of a fraction has the positive power of 10, decimal in the numerator will be shifted to the left by the same number of places as exponent.

10⁴) 1.042 = $\frac{1.042}{10^4}$

In the denominator of the given fraction, exponent of 10 = +4

So the decimal in numerator will be shifted left by 4 places.

$\frac{1.042}{10^4}=0.0001042$

Therefore, answer is 0.0001042

5 0

3 years ago