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ki77a [65]
2 years ago
14

9. The probability of a child being born with light-colored eyes to two particular parents is 0.25.

Mathematics
1 answer:
slavikrds [6]2 years ago
4 0

If X is a random variable representing the number of children that end up having light-colored eyes, then X follows a binomial distribution with success probability p = 0.25 and number of trials n = 5.

The variance of a binomial distribution with these parameters is n p (1 - p), so the variance in this case would be

5 • 0.25 • (1 - 0.25) = 0.9375 ≈ 0.9

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The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what yea
nirvana33 [79]

Average reading score is given by the expression,

        y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = \frac{3.978}{0.153}

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

       Therefore, 1996 is the year in which the average reading score will be 259.378.

Learn more,

brainly.com/question/2883790

3 0
2 years ago
A triangle has the coordinates
fiasKO [112]

Answer:

coordinates of its image

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

Step-by-step explanation:

Reflect in y-axis means mirror it's points in the y -axis.

This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.

(Remember, zero multiplied by -1 remains 0).

Given are these points A, B, and C.

A = (4, -1)

B = (3,-3)

C = (0, 2)

After mirroring in the y- axis you get:

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

8 0
2 years ago
Find the vertex of this parabola.<br><br><br><br> y = -2x2 + 4x + 12
STatiana [176]
For this case we have the following equation:
 y = -2x ^ 2 + 4x + 12&#10;
 Deriving we have:
 y = -2x ^ 2 + 4x + 12&#10;&#10;y '= -4x + 4
 We match zero:
 -4x + 4 = 0&#10;
 We clear the value of x:
 4x = 4&#10;&#10;x = 4/4&#10;&#10;x = 1
 Then, we substitute the value of x in the equation of the parabola:
 y = -2 (1) ^ 2 + 4 (1) + 12&#10;&#10;y = -2 + 4 + 12&#10;&#10;y = 14
 Thus, the vertex of the parabola is the ordered pair:
 (x, y) = (1, 14)
 Answer:
 
The vertice is:
 
(x, y) = (1, 14)
3 0
3 years ago
Find the argument of the complex number z=1+iv3
elena-14-01-66 [18.8K]

Given:

The complex number is:

z=1+i\sqrt{3}

To find:

The argument of the given complex number.

Solution:

If a complex number is z=x+iy, then the argument of the complex number is:

\theta=\tan^{-1}\dfrac{y}{x}

We have,

z=1+i\sqrt{3}

Here, x=1 and y=\sqrt{3}. So, the argument of the given complex number is:

\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}

\theta =\tan^{-1}\sqrt{3}

\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)

\theta =\dfrac{\pi}{3}

Therefore, the argument of the given complex number is \theta =\dfrac{\pi}{3}.

6 0
2 years ago
3/2•3/2•3/2•3/2 rewrite product in exponential form
attashe74 [19]

Answer:

1.5^4

Step-by-step explanation:

The product for this expression is 1.5 multiplied by itself 4 times. This means you raise it to the fourth power, thus giving you 3/2^4 or 1.5^4.

5 0
2 years ago
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