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3 years ago

A negative number is 12 less than it’s square.find the number

Mathematics

1 answer:

butalik [34]3 years ago

3 0

Answer:

A negative number that is 12 less than its square is -3.

Step-by-step explanation:

This is because (-3)² = 9 and 9 - 12 = -3.

You can get this answer by testing different number until one works in the given situation. This is done by testing numbers by squaring them and then subtracting 12 to see if it equals the original number.

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A fruit punch recipe requires 2 quarts pf orange juice to be mixed for every 5 quarts of apple juice. Max has 9 quarts of orange

Marrrta [24]

Answer:

22.5 quarts

Step-by-step explanation:

Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.

The ratio of orange juice to apple juice is therefore:

2 : 5 or 2/5

Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:

2 / 5 = 9 / x

x = (9 * 5) / 2 = 22.5 quarts

He will need 22.5 quarts of apple juice.

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3 years ago

What form is y-3=2/3(x-1)

Citrus2011 [14]

Answer:

Step-by-step explanation:

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3 years ago

A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.

frosja888 [35]

Answer:

P(1≤X≤3) = 0.5974

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 3

This means that $\mu = 3$

P(1≤X≤3) ?

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974$

4 0

3 years ago

Propane has a heat energy of 2,470 BTU/ft cubed. How much energy can a propane tank with a volume of 43.7 ft cubed produce?

professor190 [17]

Answer: $107939\ BTU$

Step-by-step explanation:

Given

Propane produced heat energy of $2470\ BTU/ft^3$

The volume of the tank is $43.7\ ft^3$

The energy produced by this propane tank is

$\Rightarrow 2470\times 43.7=107939\ BTU$

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3 years ago

Determine the solution on the interval [0, 2pi] for the equation<br><br><br><img src="https://tex.z-dn.net/?f=sec%5E%7B2%7D%20x-

AleksAgata [21]

Step-by-step explanation:

sec² x − 2 = 0

sec² x = 2

cos² x = ½

cos x = ±√½

x = π/4, 3π/4, 5π/4, 7π/4

5 0

3 years ago