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3 years ago

Does this graph represent a function? Why or why not?

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

5 0

A Function is defined as the relation between the input and the output where one input can have only one output

When graphing functions, the x-axis denotes the inputs and the y-axis denotes the output of the function

Looking at the graph, we see that for one input (point on the x-axis) we have only one output (point on the y-axis)

Hence, we can say that this graph represents a function

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U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.56. Find:

Alisiya [41]

Answer:

(a) P (U and V) = 0.

(b) P (U|V) = 0.

Step-by-step explanation:

Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,

$P (A\cap B) = 0$

Given:

Events U and V are mutually exclusive.

P (U) = 0.27 and P (V) = 0.56

(a)

As events U and V are mutually exclusive, the probability of their intersection will be 0.

That is,

$P(U\ and\ V) = P (U\cap V) = 0$

Thus, the value of P (U and V) is 0.

(b)

The conditional probability of event B given A is:

$P(B|A) =\frac{P(A\cap B)}{P(B)}$

Compute the value of P (U|V) as follows:

$P(U|V) =\frac{P(U\cap V)}{P(V)}\\=\frac{0}{0.56}\\ =0$

Thus, the value of P (U|V) is 0.

(c)

The probability of the union of two events, say A and B, is

$P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Compute the value of P (U or V) as follows:

$P(U\ or\ V)=P(U\cup V)\\=P(U)+P(V)-P(U\cap V)\\=0.27+0.56-0\\=0.83$

Thus, the value of P (U or V) is 0.83.

7 0

4 years ago

Read 2 more answers

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

FinnZ [79.3K]

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: $(x^2 + x + 2)(x^2 - 2x + 3)$

By using distributive property: a(b+c+d)= ab+ac+ad

$(x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6$

Maximum possible terms =9

Combine like terms

$x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6$

Hence, $\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6$

Degree of polynomial (highest degree) =4

Number of terms = 5

6 0

3 years ago

Find the volume of 22 ft

Mazyrski [523]

V=4πr^3V=4π(11)^3
V=5575.28
22 is the diameter and the radius is half of the diameter

5 0

4 years ago

A line has a slope of -2 and the point (2,7) lies on the line. What is the y-intercept of the line?

Orlov [11]

Answer:

I really hope this helps

Step-by-step explanation:

brainliest please? :)

4 0

2 years ago

FP!!!!!!!!!!!!!!!!!!! if ur up ( 10 x 8 ) + 150

taurus [48]

Answer:

220

Step-by-step explanation:

first we have by Bracket of BODMAS rule then we have to multiply 10 *8 = 80

first we have by Bracket of BODMAS rule then we have to multiply 10 *8 = 80then we have to open bracket 80 +150

first we have by Bracket of BODMAS rule then we have to multiply 10 *8 = 80then we have to open bracket 80 +150 = 220

(10*8) +15

Solution

Solution= (80) +150

Solution= (80) +150= 80+150

Solution= (80) +150= 80+150=. 220

Solution= (80) +150= 80+150=. 220

8 0

3 years ago

Read 2 more answers