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3 years ago

13

Step 1: Use equations to solve problems.

1 answer:

vladimir2022 [97]3 years ago

8 0

Answer:

Step-by-step explanation:

Yctct

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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>

8 0

3 years ago

Given the arithmetic sequence an = 2 + 4(n − 1), what is the domain for n?

zlopas [31]

The answer should be A the first one

3 0

3 years ago

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2(x+1.25)=3,5<br><br> Find x

Arte-miy333 [17]

Step-by-step explanation:

$\tt{2(x+1.25)=3.5 }$ ⠀

$\tt{ 2x+2.5=3.5 }$ ⠀

$\tt{ 2x=3.5-2.5 }$ ⠀

$\tt{2x=1 }$ ⠀

$\tt{ x=\dfrac{1}{2}=0.5 }$ ⠀

7 0

3 years ago

How do I write each number as a power of the given base? <br><br>example: 49; base 7

VLD [36.1K]

$7^n=49$
we know that 7*7=49 so thus $7^2=49$
$7^n=7^2$
therefor n=2
it is written as $7^2$

7 0

3 years ago

Factor 16x+40y I don't know how to do this

Marizza181 [45]

Answer:

8(2x + 5y)

Step-by-step explanation:

You cant fact (take out) 8 from both 16 and 40 since 8 is a factor for both.

4 0

3 years ago

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