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Katena32 [7]
4 years ago
12

A bag contains 12 marbles: 5 are orange, 3 are blue, and the rest are red. If one marble is selected at random from the bag, wha

t is the probability that it will be red or blue?
Mathematics
1 answer:
givi [52]4 years ago
7 0

Answer:

7/12

Step-by-step explanation:

The probability is the number of events out of the number of outcomes. The total number of outcomes is the number of marbles which is 12. The number of events is the number of red or blue marbles which is 3 + 4 = 7. This is true since there are 3 blue listed and since 12 - 5 - 3 = 4 red.

The probability is a ratio or fraction and should be written as 7/ 12.

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A conjecture and the paragraph proof used to prove the conjecture are shown.
amm1812

Answer:

Here is the correct answer. I just took the test.

Step-by-step explanation:

8 0
3 years ago
The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are
WITCHER [35]

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

If x is the smaller integer:

x (x + 1) = 14 + 4 (x + x + 1)

x² + x = 14 + 4 (2x + 1)

x² + x = 14 + 8x + 4

x² − 7x − 18 = 0

Factor using AC method:

(x − 9) (x + 2) = 0

x = -2 or 9

x is the smaller integer, so the larger integers are -1 and 10.  Check each pair of solutions.

-1 and -2:

(-2) (-1) = 14 + 4 (-2 + -1)

2 = 14 + 4 (-3)

2 = 2

9 and 10:

(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

7 0
3 years ago
Which arrow do I follow left or right?
Xelga [282]

6 < k

k is greater then 6. That means that you will go to the right of 6. This will show that k can be any number larger then 6

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
Differentiating Functions of Other Bases In Exercise, find the derivative of the function.
aniked [119]

Answer:

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

Step-by-step explanation:

We are given the following in the question:

y = \ln {16}(x^2 - 3x)

We have to find the derivative of the given expression.

y = \ln 16(x^2 - 3x)\\\text{Using the log propert}\\\\\log_a b = \dfrac{\log b}{\log a}\\\\dfrac{d(x^n)}{dx} = nx^{n-1}\\\\\dfrac{d(\log x)}{dx} = \dfrac{1}{x}\\\\\text{\bold{Differentiating we get}}\\\\\displaystyle\frac{dy}{dx} = \frac{d(\ln 16(x^2-3x))}{dx}\\\\= \frac{1}{16(x^2-3x)})\frac{d(x^2-3x)}{dx}\\\\=\frac{1}{\log 16(x^2-3x)}(2x - 3)\\\\= \frac{2x-3}{\ln 16(x^2 - 3x)}

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

7 0
4 years ago
in Circle G R = 3 units Maria draws a circle with double the area of circle G what is the area of Maria's Circle?​
Stels [109]

Answer:

18\pi units^{2}

Step-by-step explanation:

area of circle: \pi r^{2}

A of circle G: \pi (3)^{2} = 9\pi

Maria's circle has double the area of circle G, so it has 2 * 9\pi = 18\pi units^{2}

8 0
3 years ago
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