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mart [117]
3 years ago
7

Determine whether a given set of vectors spans a vector space

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0
Canyou please love me romeo

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m_a_m_a [10]
0.333.... as a fraction is 1/3.
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3 years ago
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Help answer if u know
Setler [38]

Answer:

b = 6 / 1/4

Step-by-step explanation:

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Please answer There is a bag filled with 3 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted
Misha Larkins [42]

Answer:

\frac{15}{28}  is the required probability.

Step-by-step explanation:

Total number of Marbles = Blue + Red = 3 + 5 = 8

Probability of getting blue = \frac{3}{8}

Probability of not getting a blue =\frac{5}{8}

To get exactly one blue in two draws, we either get a blue, not blue, or a not blue, blue.

<u>First Draw Blue, Second Draw Not Blue:</u>

1st Draw: P(Blue) = \frac{3}{8}

2nd Draw: P(Not\:Blue)=\frac{5}{7}  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

P(Event)=\frac{3}{8}\cdot \frac{5}{7}=\frac{15}{56}

<u>First Draw Not Blue, Second Draw Not Blue:</u>

1st Draw: P(Not\:Blue)=\frac{5}{8}

2nd Draw: P(Not\:Blue)=\frac{3}{7}  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

P(Event)=\frac{5}{8}\cdot \frac{3}{7}=\frac{15}{56}

To get the probability of exactly one blue, we add both of the events:

\frac{15}{56}+\frac{15}{56}=\frac{15}{28}

4 0
3 years ago
Given f(x)=7x+12 and Domain={3,6,9} find Range
frozen [14]

Answer:

the answer is the 3rd option

range = { 33, 54, 75 }

7 0
2 years ago
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi
aev [14]

Answer:

2.5% probability that a randomly selected book has fewer than 133 pages.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 189 pages

Standard deviation = 28 pages

What is the probability that a randomly selected book has fewer than 133 pages?

133 = 189 - 2*28

So 133 is two standard deviations below the mean.

The Empirical Rule states that 95% of the measures are within 2 standard deviations of the mean. The other 5% is more than two standard deviations distant from the mean. The normal distribution is symmetric, which means that of those 5%, 2.5% are more than 2 standard deviations below the mean and 2.5% are more than 2 standard deviations above the mean.

This means that there is a 2.5% probability that a randomly selected book has fewer than 133 pages.

3 0
3 years ago
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