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2 years ago

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}

1 answer:

7 0

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
(−4)−(−2)–{(−5)–[−7−3+8)]}
(−4)−(−2)–{(−5)–[-2]}
(−4)−(−2)–{(−5)+2}
(−4)−(−2)–{−5+2}
(−4)−(−2)+3}
(−4)+2+3}
(−4)+5}
1

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Harry has 0.5 of a bottle of water in his gym bag. The bottle holds 0.9 liter of water. How many liters of water does Harry have

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The bottle has 0.5 liters of water

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Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll

Travka [436]

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

$P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...$

$P(X = x) = 0$ otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

$P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)$

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

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3 years ago

F(x)=3x^3-12x^2+9x what the factor

alexandr1967 [171]

Answer:

f(x) = 3x(x-1)(x-3)

Step-by-step explanation:

f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =

= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =

= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)

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2 years ago

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Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the triangl

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Answer:

567 square yards

Step-by-step explanation:

The Area for 1 Triangular playground = 1/2 × Base × Height

The base of the triangle is 18 yards. The height of the triangle is 21 yards.

Hence:

= 1/2 × 18 yards × 21 yards

= 189 square yards

The area of the Triangular 3 playground is given as:

= 3 × 189 square yards

= 567 square yards

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2 years ago

Can you help me solve systems of equations by elimination step by step 6x+y=15 -7x-2y=-10

Anna71 [15]

Answer: (4, -9)

Step-by-step explanation:

Use elimination method. Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable. I will be eliminating y

6x + y = 15 → 2(6x + y = 15) → 12x + 2y = 30

-7x - 2y = -10 → 1(-7x + 2y = -10) → -7x - 2y = -10

5x = 20

x = 4

Next, replace "x" with "4" into either equation and solve for y.

6(4) + y = 15

24 + y = 15

y = -9

Check:

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

-7x - 2y = -10

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-28 - -18 = -10

-28 + 18 = -10

-10 = -10 $\checkmark$

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3 years ago