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ruslelena [56]
3 years ago
10

at an office supply store emilio bought 3 notebooks and 5 pens for $13.75 if a notebook costs $1.25 more than a pen how does one

notebook cost?

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Answer:

One notebook costs $2.50

Step-by-step explanation:

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Factor completely 3x^2 − x − 4.
ozzi

3x^2 − x − 4

factor

= (3x − 4)(x + 1)


answer

D. (3x − 4)(x + 1)

8 0
3 years ago
In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the
earnstyle [38]

Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = video components need repair within 1 year

<em>B</em> = electronic components need repair within 1 year

<em>C</em> = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events <em>A</em>, <em>B</em> and <em>C</em> are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

7 0
3 years ago
A color printer prints 12 pages in 5 minutes. How many minutes does it take per page?
ElenaW [278]

Answer:

2.4

Step-by-step explanation:

12/5 = 2 2/5 = 2.4

7 0
3 years ago
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges flat fee of $21 plus $1
Ostrovityanka [42]

Answer:3 hours total

Step-by-step explanation:

15+(3*3)=21+(1*3) which equals out to 24$

6 0
3 years ago
Read 2 more answers
3) show that the two lines with the given slopes are parallel, perpendicular neither. My₁ = 3/4 M₂ = 12/16 . solve it by showing
Jet001 [13]

Parallel lines have equal slope so

  • M1-M2=0

Lets check

  • M1=3/4
  • M2=12/16=3/4

Now

  • M1-M2
  • 3/4-3/4
  • 0

Lines are parallel

8 0
2 years ago
Read 2 more answers
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