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tatiyna
3 years ago
6

Find the discriminant and the number of real roots for this equation. x2 + 2x + 7 = 0

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0

Answer:

Discriminant = -24

No real roots.

Step-by-step explanation:

x^2 + 2x + 7 = 0

The discriminant = b^2 - 4ac

= 2^2 - 4*1*7

= -24

So there are no real roots.

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3 years ago
Jessica has a four-sided die, a six-sided die, and a 12-sided die. She rolls the three dice once. Let Z be the number of fours s
yawa3891 [41]

Answer:

The value of E [Z]  is 0.50.

Step-by-step explanation:

The expected value is computed using the formula:

E(X)=\sum x\cdot P(X= x)

Denote the three dices as follows:

X₁ = a four-sided die

X₂ = a six-sided die

X₃ = a 12-sided die

Define the indicator variables as follows:

I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.

The probability of rolling a 4 in the three dices are as follows:

P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}

Compute the value of E [Z] as follows:

E(Z)=E(I_{1})+E(I_{2})+E(I_{3})

         =(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50

Thus, the value of E [Z]  is 0.50.

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3 years ago
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Ksenya-84 [330]

Answer:

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Step-by-step explanation..

27 x 33 = 891

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Step-by-step explanation:

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