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Mathematics

2 answers:

77julia77 [94]3 years ago

7 0

Answer:

39.9km a day

Step-by-step explanation:

Add up the four kilometers cycled and you should get 159.6km cycled in total. Divide that number by 4 to get 39.9km as a result. So she's wrong.

UNO [17]3 years ago

3 0

Answer:

39.9

Step-by-step explanation:

Because he cycled 4 days and the distances for each days are 32.3 km, 38.7 km, 43.5 km and 45.1 km. The total distance should be,

$Total = 32.3 km + 38.7km + 43.4km + 45.1km\\\\= 159.6km\\$

Now the average should be,

$Avg = \frac{159.6 km}{4}\\= 39.9 km$

This is of course less than 40km and you can told her that she's wrong. And, this is true only when the data of each day is accurate and not rounded so that actual total is relatively more than the one I have calculated.

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djverab [1.8K]

Answer:

Probability distribution for x:

$P(x=0)=0.3644\\\\P(x=1)=0.4373\\\\P(x=2)=0.1749\\\\P(x=3)=0.0233\\\\$

Step-by-step explanation:

We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.

The probability of k defective sets in the group is:

$P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}$

So, we have this probabilty distribution for x:

$P(x=0) = \dbinom{3}{0} p^{0}q^{3}=1*1*0.3644=0.3644\\\\\\P(x=1) = \dbinom{3}{1} p^{1}q^{2}=3*0.2857*0.5102=0.4373\\\\\\P(x=2) = \dbinom{3}{2} p^{2}q^{1}=3*0.0816*0.7143=0.1749\\\\\\P(x=3) = \dbinom{3}{3} p^{3}q^{0}=1*0.0233*1=0.0233\\\\\\$