Write the equation of a sine or cosine function to describe the graph.

List the whole numbers that are factors of 30

arlik [135]

Factors of 30: 1,2,3,5,6,10,15,30

4 0

2 years ago

Evaluate the expression: H - 7 for H = 22

Orlov [11]

Answer:

15

Step-by-step explanation:

H - 7

When H = 22, replace H with 22 in the equation.

22 - 7 = 15

7 0

3 years ago

Read 2 more answers

Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter

sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events <em>A</em> and <em>B</em> are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

$P(A\cap B)=0$

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0$

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, $P(A\cap B)=0$ .

Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, $P(A\cap B)=P(A)\times P(B)$ .

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that $P(A\cap B)=0$ .

Now compute the value of $P(A)\times P(B)$ as follows:

$P(A)\times P(B)=0.30\times 0.40=0.12\neq 0$

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0

3 years ago

I need help! Please help me

insens350 [35]

Answer:

x = 3.6

Step-by-step explanation:

By the Postulate of intersecting chords inside a circle.

$x \times 5 = 3 \times 6 \\ 5x = 18 \\ x = \frac{18}{5} \\ x = 3.6 \\$

5 0

3 years ago

For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mrrafil [7]

Answer:

a. $\frac{2x + 3}{x+5}$

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

$2x^2 - 7x - 15$

Two numbers that multiply to -30 and add to -7 = -3 and 10

$[2x^2 - 10x] + [3x - 15]$

$(2x + 3)(x - 5)$

Factor the denominator (Difference of Two Squares):

$x^2 - 25$ = $(x +5)(x-5)$

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

$\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}$

Variable Restrictions:

Denominator ≠ 0

$x + 5 = 0\\x = -5$

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0

2 years ago