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3 years ago

Two fair six sided dice are rolled. What is the probability that the sum of the two dice is 5?

Mathematics

2 answers:

klio [65]3 years ago

8 0

Answer:

Step-by-step explanation:

344

Travka [436]3 years ago

4 0

Answer:

1/12

Step-by-step explanation:

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A trout lurking 32 cm below the surface of a lake spies an insect flying 17cm above the lake. How many centimeters would the tro

Bumek [7]

Answer:

The Trout will have to jump 49 cm in order to catch the insect

Step-by-step explanation:

Here, we want to calculate the distance the Trout has to jump in order to catch the Insect

To calculate this, we need to know the difference in the distances

From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake

The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;

17 + 32 = 49 cm

3 0

3 years ago

Which of the following equations have complex roots?

mestny [16]

Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0

2 years ago

Which graph represents this equation?

antiseptic1488 [7]

Answer:

The third option. I’m not 100% sure but I do think that’s the answer

Step-by-step explanation:

6 0

3 years ago

which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar? A. ASA s

Damm [24]

A. ASA similarity theorem
B. SSS similarity theorem

7 0

3 years ago

Read 2 more answers

56 ×54 (5×6)÷ equals

Maurinko [17]

Answer: 90,720

Step-by-step explanation: 56*54=3,024

5*6= 30

3,024*30=90,720

4 0

3 years ago