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VladimirAG [237]
3 years ago
12

Jenny packaged 108 eggs in 9 cartons. write this statement as a rate ​

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

Jenny packaged 12 eggs per carton

Step-by-step explanation:

we know that

To find the rate divide the total amount of eggs by the total number of cartons

so

\frac{108}{9}=12\frac{eggs}{carton}

therefore

The statement is

Jenny packaged 12 eggs per carton

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A bag contains 12 red checkers and 12 black checkers. 1/randomly drawing a red checker 2/randomly drawing a red or black checker
8_murik_8 [283]

Answer:

(I suppose that we want to find the probability of first randomly drawing a red checker and after that randomly drawing a black checker)

We know that we have:

12 red checkers

12 black checkers.

A total of 24 checkers.

All of them are in a bag, and all of them have the same probability of being drawn.

Then the probability of randomly drawing a red checkers is equal to the quotient between the number of red checkers (12) and the total number of checkers (24)

p = 12/24 = 1/2

And the probability of now drawing a black checkers is calculated in the same way, as the quotient between the number of black checkers (12) and the total number of checkers (23 this time, because we have already drawn one)

q = 12/23

The joint probability is equal to the product between the two individual probabilities:

P = p*q = (1/2)*(12/23) = 0.261

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7 0
2 years ago
An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These
Vladimir79 [104]

Answer:

Between 1000 and 5000 snowboards will make the function AP(x) >0.

Step-by-step explanation:

Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.

In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.

P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:

r_1,r_2 = \frac{-6 ^+_- \sqrt{6^2-4*(-1)*(-5)} }{2*(-1)} = \frac{-6^+_-\sqrt{16}}{-2} = \{1, 5\}

Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:

  • P(0) = -5 < 0 ( P is negative in (-∞ , 1) )
  • P(2) = -4+6*2-5 = 3 > 0 (P is positive in (1,5) )
  • P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )

The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)

5 0
2 years ago
Algebraic expressions and translations<br> Solve -3+5×=8
vovangra [49]

Answer:

x = 11/5

Step-by-step explanation:

-3 + 5x = 8

5x = 8 + 3

5x = 11

x = 11/5

Mark me brainliest

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3 years ago
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