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m_a_m_a [10]
2 years ago
6

Question 28(Multiple Choice Worth 1 points)

Mathematics
1 answer:
raketka [301]2 years ago
8 0

Answer:

\boxed{ \bold{\frac{4}{3} }}

Step-by-step explanation:

\frac{ {4}^{ - 3}  \:  \times  \:  {3}^{4}  \:  \times  \:  {4}^{2} }{ {3}^{5} \:  \times  \:  {4}^{ - 2}  }

  • We simplify the algebraic expression.

\frac{ {4}^{ - 3} \:  \times  \:  {4}^{4}  }{3}

  • We calculate the product of the denominator:

\boxed{  \bold{\frac{4}{3} }}

<h3><em><u>MissSpanish</u></em><em><u> </u></em></h3>
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Please I need help with this question!
likoan [24]

Answer:

I. 60%

II. 75.4 kg

Step-by-step explanation:

We will use the z-scores and the standard normal distribution to answer this questions.

We have a normal distribution with mean 69 kg and variance 25 kg^2 (therefore, standard deviation of 5 kg).

I. What percentage of adult male in Boston weigh more than 72 kg?

We calculate the z-score for 72 kg and then calculate the associated probability:

z=\dfrac{X-\mu}{\sigma}=\dfrac{72-69}{5}=\dfrac{3}{5}=0.6\\\\\\P(X>72)=P(z>0.6)=0.274

II.  What must an adult male weigh in order to be among the heaviest 10% of the population?

We have to calculate tha z-score that satisfies:

P(z>z^*)=0.1

This happens for z=1.28 (see attachment).

Then, we can calculate the weight using this transformation:

X=\mu+z^*\cdot\sigma=69+1.28\cdot 5=69+6.4=75.4

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What is the probability of rolling a 3 on two consecutive rolls of a fair die
n200080 [17]
So on one die has six numbers, the probability of rolling a 3 on one die is 1/6. So for two die, it would be 1/6 times 1/6= 1/36... 
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Step-by-step explanation:

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