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saul85 [17]
3 years ago
5

The letters in the word August are placed into a bag. What is the probability of selecting a u

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

Answer:

The answer is a 2 out of 6 chance

Step-by-step explanation: Take the letters a and u and add them together (2). Take it from the total number of letters (6) and there you go. Hope this helps

Leno4ka [110]3 years ago
7 0

Answer:

1/3

Step-by-step explanation:

There are 2 u's in August and there are 6 total letters if you divide 2/6. you get 1/3

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Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

for the equation ax² + bx + c = 0

thus,

the roots are

x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
3 years ago
If y = -x² + 14x + 7 , then x = 10 is a counterexample for which conjecture?
Misha Larkins [42]

Answer:

The correct answer is B

Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

Hope this helped and mark as brainliest!

6 0
3 years ago
Multiply 3.76 X.2<br> Show your work
WITCHER [35]

Answer:

7.52

Step-by-step explanation:

  1. Write it out: 3.76 × 2
  2. 3.76 × 2 = 7.52

I hope this helps!

7 0
3 years ago
The numbers 45 28 53 form a pythagorean triple true or false
GarryVolchara [31]
You can verify this by plugging the numbers into the Pythagorean theorem, a^2+b^2=c^2, where c is the hypotenuse (the longest side, in this case 53).

So it would be: 28^2 + 45^2 = 53^2
The equation is true.
2809 = 2809

5 0
3 years ago
Helppp and explain pls and ty
zhenek [66]
The answer should be c 4 hours
6 0
3 years ago
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