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1 year ago

Evaluate the following equations

Mathematics

1 answer:

DochEvi [55]1 year ago

5 0

Step-by-step explanation:

A....

Solution ,

$= \frac{h - 3}{3} = 3h \\$

$= h - 3 = 9h$

$= h - 3 - 9h = 0$

$= h - 9h = 3$

$= - 8h = 3$

Change the sign of both side

$= 8h = - 3$

$= h = - \frac{3}{8 } \\$

B....

Solution,

$= \frac{t}{2} = \frac{t + 1}{5} \\$

Multiply the both side by the least common multiple to eliminate the fraction...

$= 5t = 2t + 2$

$= 5t - 2t = 2$

$= 3t = 2$

$= t = \frac{2}{3} \\$

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

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3 years ago

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Mathematics Simple events likelihood experimental probability

saw5 [17]

Problem 1

Answer: Closer to 1

Explanation:

There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.

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Problem 2

Answer: Closer to 0

Explanation:

The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50

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Problem 3

Answer: Closer to 0

Explanation:

We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50

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Problem 4

Answer: 48% chance; fairly likely

Explanation:

We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%

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2 years ago

What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank read

chubhunter [2.5K]

Answer:

53.08 ft

Step-by-step explanation:

The pressure at the bottom of the tank, P = ρgh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8 m/s² and h = depth of water in tank.

Since the pressure at the bottom of the tank, P = ρgh, making h subject of the formula, we have

h = P/ρg

Since P = 23 psig = 23 × 1 psig = 23 × 6894.76 Pa = 158579.48 Pa

Substituting the values of the other variables into h, we have

h = P/ρg

h = 158579.48 Pa/(1000 kg/m³ × 9.8 m/s²)

h = 158579.48 Pa/(9800 kg/m²s²)

h = 16.18 m

h = 16.18 × 1 m

h = 16.18 × 3.28 ft

h = 53.08 ft

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2 years ago