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3 years ago

A beverage manufacturer is mixing up a 30% tomato juice blend. The manufacturer already

Mathematics

1 answer:

Mariulka [41]3 years ago

5 0

Answer:

1110 liters

Step-by-step explanation:

Let x = amount of 26% juice.

Amount of tomato juice:

740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice

x liters of 26% juice contains 0.26x liters of tomato juice

The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.

266.4 + 0.26x = 0.3(x + 740)

266.4 + 0.26x = 0.3x + 222

-0.04x = -44.4

x = 1110

Answer: 1110 liters

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Answer:

5 steps

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3 years ago

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4 years ago

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3 years ago

Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabiliti

ZanzabumX [31]

Answer:

a. $P(2 \leq X \leq 3) = 0.5$

b. $P(X \geq 1) = 0.9$

c. $P(X < 2) = 0.25$

d. $P(X > 3) = 0.25$

Step-by-step explanation:

We are given the following distribution:

$P(X = 0) = 0.1$

$P(X = 1) = 0.15$

$P(X = 2) = 0.25$

$P(X = 3) = 0.25$

$P(X = 4) = 0.15$

$P(X = 5) = 0.1$

a. Two or three bars

$P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.25 + 0.25 = 0.5$

Thus:

$P(2 \leq X \leq 3) = 0.5$

b. At least one bar

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1 = 0.9$

Thus:

$P(X \geq 1) = 0.9$

c. Fewer than two bars

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.15 = 0.25$

Thus:

$P(X < 2) = 0.25$

d. More than three bars

$P(X > 3) = P(X = 4) + P(X = 5) = 0.15 + 0.1 = 0.25$

Thus:

$P(X > 3) = 0.25$

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3 years ago

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marta [7]

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