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Gelneren [198K]

3 years ago

15

What does the 50th term of this arithmetic sequence: 29,32,35,38

1 answer:

frozen [14]3 years ago

3 0

Answer:

176

Step-by-step explanation:

First term (a) = 29

Common difference (d) = 32 - 29 = 3

For calculating the 50th term , n = 50

Now

$t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176$

hope it will help :)

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor

xenn [34]

Answer:

The required probability is $\dfrac{13}{50}$

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Probability of selecting a water bottle:

$\dfrac{30}{50} = \dfrac{3}{5}$

Probability of selecting a lemon flavored bottle from water bottle:

$\dfrac{8}{30}$

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em> $\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}$ <em></em>

<em></em>

Probability of selecting a tea bottle:

$\dfrac{20}{50} = \dfrac{2}{5}$

Probability of selecting a lemon flavored bottle from tea bottle:

$\dfrac{5}{20} = \dfrac{1}{4}$

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em> $\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}$ <em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em> $\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}$ <em></em>

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Answer:

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Step-by-step explanation:

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<em> </em><em>x2 - x1</em>

Since the two lines are paralell you know that line h has the same slope.

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<em></em>

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