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stellarik [79]
3 years ago
15

Jeremy will roll a number cube, numbered 1-6,twice. What is the cabability of rolling an even number, then the number 3

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Answer:

A. 1/12

Step-by-step explanation:

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You are making a walkway around part of a swimming pool. The dimensions of the swimming pool are 18 and 25, while the dimensions
vredina [299]

Answer:

A = 4x^2 + 86x + 450

Step-by-step explanation:

Given

Walkway = x

Length = 18

Width = 25

Required:

The area of the swimming pool

Assume the walkway will be on the 4 sides of the swimming pool.

The total length (L) of the swimming pool will be:

L = 18 + x + x

L = 18 + 2x

The total width (W) will be:

W = 25 + x + x

W = 25 + 2x

The area (A) is:

A = L * W

A = (18 + 2x) * (25 + 2x)

Expand bracket

A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x

A = 450 + 36x + 50x + 4x^2

A = 450 + 86x + 4x^2

Reorder

A = 4x^2 + 86x + 450

8 0
3 years ago
An item is regularly priced at $15. It is on sale for 25%off the regular price
Scilla [17]

Answer: $11.25

Step-by-step explanation:

25% of $15= 3.75

Subtract $3.75 from regular price of $15

=$11.25

6 0
3 years ago
Read 2 more answers
What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.​
Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k).  Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25).  Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x.  We must factor this.  Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:  

y = 0.96(x -√5)(x + √5).  This is the fully factored form of the polynomial.

5 0
2 years ago
Will mark brainiest!!<br> Only answer questions a and b
k0ka [10]

Answer:

f1 ( x ) valid pdf . f2 ( x ) is invalid pdf

k = 1 / 18 , i ) 0.6133 , ii ) 0.84792

Step-by-step explanation:

Solution:-

A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:

                     

- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:

                   

- We will perform integration of each given pdf as follows:

                   

                   

Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.

B)

- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:

                       if  8 ≤ x ≤ 10

                               0  otherwise.

- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:

                     

- Evaluate the integral as follows:

                     ... Answer

- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:

                     

To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:

                   p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )

                   p ( 8.6 ≤ x ≤ 9.8 ) =

ii) To determine the conditional probability we will utilize the basic formula as follows:

               p ( x ≤ 9.8  | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.84792 ... answer

Hope it helps! ;)

4 0
2 years ago
Last question and i can go!!! this is due today and im giving breainlies t !
olga55 [171]

Answer:

A

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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