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Anuta_ua [19.1K]
3 years ago
6

Q # 7 please help to solve

Mathematics
1 answer:
Neko [114]3 years ago
6 0
The fourth choice - 5/104.

In one cube, there are 3 even numbers - 2,4,6. For two cubes, the total probability is 36.
   3*3 / 36 = 9/36

For letters, there are five vowels over 26 letters = 5 / 26

Multiply the two probabilities to get the probability of rolling two even numbers and selecting one of the vowels.
   9/36 * 5/26 = 5/104
   
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Answer:3. B 4. B

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Please help, and thank you!
lawyer [7]

Answer:

3. C

4. D

Step-by-step explanation:

3.

x^2+25=0\\x^2=-25\\x=\pm\sqrt{-25}

Once \sqrt{-1}=i

x=\pm5i

4.

A quadratic equation has no real roots when the discriminant (\Delta) is negative. \Delta.

Let's try all the equations:

(A)

2x^2-7x-9=0\\\\\Delta=\sqrt{\left(-7\right)^2-4\cdot \:2\left(-9\right)}\\\Delta=\sqrt{\left(-7\right)^2+4\cdot \:2\cdot \:9}\\\Delta=\sqrt{121} \\\Delta=11

(B)

2x^2=7x\\2x^2-7x=0\\x(2x-7)=0\\x=0\\\text{or}\\2x-7=0\\2x=7\\\\

$x=\frac{7}{2} $

(C)

2x^2+7x-9=0\\\Delta = \sqrt{7^2-4\cdot \:2\left(-9\right)}\\\Delta = \sqrt{7^2+4\cdot \:2\cdot \:9}\\\Delta = \sqrt{121} \\\Delta= 11

(D)

2x^2-7x+9=0\\\Delta = \sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:9}\\\\\Delta=\sqrt{-23} \\\Delta=\sqrt{23i}

8 0
3 years ago
Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour wh
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They will meet in 4 hours.
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Carlos is adding the mixed numbers 1 1/5 and 2 1/8 by changing each number into an improper fraction. Which pair of improper fra
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Step-by-step explanation:

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1= 5/5 + 1/5 = 6/5

2 1/8 = 17/8

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3 0
3 years ago
What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.
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a^2 +b^2 = (2.5sqrt(2))^2

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a^2 = 6.25

a = sqrt(6.25)

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6 0
3 years ago
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