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Drupady [299]
3 years ago
14

If alpha and beta are roots of quadratic equation x^2 - p( x + 1) - c = 0 then (alpha + 1 )( beta + 1) =?

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

Step-by-step explanation:

x²-px-p-c=0

sum of roots=α+β=-b/a=p

product of roots=αβ=c/a=-p-c

(α+1)(β+1)=αβ+α+β+1=-p-c+p+1=-c+1

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Fifty draws are made at random with replacement from the box [ 0 0 1 1 1]. There are 33 ticket 1’s among the draws. The expected
Aleks04 [339]

Answer:

- The Expected value for the sum is 30.

- The Observed sum of 50 draws is 33.

- The Chance Error on the 50 draws is 3.

- The Standard Error on 50 draws is 2.191.

Step-by-step explanation:

The box contains [0, 0, 1, 1, 1]

Using probability to predict the expected outcome.

On one draw, the probability of drawing a 0 is (2/5).

And the probability of drawing a 1 is (3/5).

Probability mass function would look like

X | P(X)

0 | 0.40

1 | 0.60

So, expected value on one draw would be

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (0×0.40) + (1×0.60) = 0.60.

Standard error on one draw = √[Σ(xᵢ - μ)²/N]

μ = E(X) = 0.60

Σ(xᵢ - μ)² = (0 - 0.60)² + (0 - 0.60)² + (1 - 0.6)² + (1 - 0.6)² + (1 - 0.6)² = 1.20

SE = √(1.2/5) = 0.490

So, for 50 draws (with replacement),

E(50X) = 50E(X) = 50 × 0.60 = 30.

For 50 draws, standard error = √50 × 0.490 = 2.191

The expected value for the sum = 30

The observed valued for the sum = (33×1) + (17×0) = 33

Chance Error = (Observed Outcome) - (Expected Outcome) = 33 - 30 = 3

Standard error gives an idea of how large the chance error would be.

Standard error on 50 draws = 2.191

Hope this Helps!!!

5 0
3 years ago
Convert y + 1 = 3/4 (x - 16) to standard form.
Archy [21]
3x/4-y=13 or choice B
7 0
3 years ago
Please see the photo.
Andreas93 [3]

Answer:

CE and GD

Step-by-step explanation:

A secant of a circle is a line which passes through only 2 points of the circle. So it bisects the circle at exactly 2 points. BF is not a secant because even though the points are labelled there is no line passing through. The reason why GD is a secant is because there are the points G and F and a straight line runs through them so that's why it's a secant

4 0
3 years ago
Read 2 more answers
If the length of FG is 6 units, what is the length of EH?
QveST [7]

FG goes through the center of the circle, so FG is diameter.

d = 2r \\ r =  \dfrac{d}{2}  \\  \\ r =  \dfrac{6}{2}  = 3

EH=r=3

Answer: EH=3

4 0
3 years ago
Find the correct linear equation: y is the quotient of thrice a number and ten.
Anarel [89]

Answer:

y = (3x)/10

Step-by-step explanation:

quotient  = divide

7 0
3 years ago
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