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sladkih [1.3K]
3 years ago
15

1. Use the quadratic, x? + 18x = 25 to answer the following questions.

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:

FIRST PROBLEM:

Exact Form:

x  =  25 /19

Decimal Form:

x =  1.31578947

Mixed Number Form:

x  =  1  6 /19

SECOND PROBLEM

Exact Form:

x  =  − 9  +  √ 106 ,  − 9  − √ 106

Decimal Form: x  =  1.29563014 ,  − 19.29563014

Step-by-step explanation:

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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:

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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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Step-by-step explanation:

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Step-by-step explanation:

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