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soldier1979 [14.2K]
3 years ago
13

Suppose you have two six-sided dice where each side is equally likely to land face up when rolled.

Mathematics
2 answers:
nikitadnepr [17]3 years ago
5 0

Answer:a. ii.

A. Is Theoretical because there is no real way of knowing what you will roll.

finlep [7]3 years ago
4 0

Answer:

a. 0.17

b. 0.08

c. theoretical

Step-by-step explanation:

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Find the sum and product of the roots. 3x^<br> 2 - 4x - 7 = 0
victus00 [196]
Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0

3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
6 0
3 years ago
What description represents the expression 3x+4
spayn [35]

Answer:

The sum of three times a number and 4

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What is the slope of a line that is parallel to the line y =3/4 x + 2
lbvjy [14]
Y=mx+b
m=slope

slopes of parallel lines are the same


y=3/4x+2
the slope is 3/4

the slope of a line parallel to that is 2/3
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3 years ago
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What is 24/9 in simplest form
qaws [65]

Answer:

2 2/3

Step-by-step explanation:

hope this helps :)

don't be afraid to ask questions

5 0
2 years ago
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Answer the question in the picture
nekit [7.7K]

Recall the angle sum identities:

\sin(x+y)=\sin x\cos y+\cos x\sin y

\cos(x+y)=\cos x\cos y-\sin x\sin y

Now,

\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}

Divide through numerator and denominator by \cos x\cos y to get

\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}

Next, we use the fact that x,y lie in the first quadrant to determine that

\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2

\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}

So we then have

\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}

\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1

Finally,

\tan(x+y)=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3\approx3.73

4 0
3 years ago
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