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2 years ago

Consider the relation given by the graph below.

Mathematics

1 answer:

Murrr4er [49]2 years ago

7 0

(a) The relation is a function because each value of x maps onto only one value of y.

(b) Domain is $(-\infty, 3]$ , range is $[-1, \infty)$ .

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The random variable X~(30,2^2) Find p(X<33) Find p(X>26)

Ostrovityanka [42]

Answer:

i) P(X<33) = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

Step(ii):-

Given that the random variable X = 33

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-30}{2} = 1.5$ >0

P(X<33) = P( Z<1.5)

= 1- P(Z>1.5)

= 1 - ( 0.5 - A(1.5))

= 0.5 + 0.4232

P(X<33) = 0.9232

Step(iii) :-

Given that the random variable X = 26

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-26}{2} = 3.5$ >0

P(X>26) = P( Z>3.5)

= 0.5 - A(3.5)

= 0.5 - 0.4990

= 0.001

P(X>26) = 0.001

5 0

3 years ago

Is the square root of -11.2 a rational number?

Schach [20]

No, it is an imaginary number.
Can't take the square root of a negative number without creating a method termed an imaginary number, which is the square root of -1 which they have used " i " to signify.
Then square root of -11.2 would be written Sqrt(11.2)i. The Sqrt(11.2) = 3.3466
so the answer is 3.3466i

5 0

3 years ago

Michele correctly solved a quadratic equation using the quadratic formula as shown below.

ra1l [238]

Whats the answers it doesn’t show for me

8 0

2 years ago

The width of the rectangle is 75% of its length, the length is 24, what's the area?

lapo4ka [179]

S = a * b where a - length and b - width
a = 24
b = 0.75 * a
S = 24 * 24 * 0.75 = 432

7 0

3 years ago