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dimulka [17.4K]
1 year ago
5

Which logic statement represents this argument? If it’s a weekend, I exercise. It’s not a weekend. So, I won’t exercise. Assume

that p represents “It’s a weekend” and q represents “I exercise.” (p q) p [(p q) p] q [(p q) p] q [(p q) p] q
Mathematics
1 answer:
geniusboy [140]1 year ago
8 0
P = It is a weekend
Q = I will exercise

If "It is a weekend", then "I will exercise"
But "It is NOT a weekend"
Therefore, "I will NOT exercise"

Using P and Q our statement would look like this,
If P, then Q
But not P
Therefore not Q

Or symbolically like this:
P -> Q
~P
\therefore ~Q

I'm sorry that this doesn't match up with the options you posted.
Maybe they didn't paste correctly.
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For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is un
ikadub [295]

Answer:

b) 0.0608

Step-by-step explanation:

As it is mentioned that the next two days i.e 24 hours, the probability of the rain is uniformly distributed

Therefore the rain probability is

= \frac{T}{24}

where,

T = Length of the time interval

Plus, as we know that rain is independent

So let us assume the rain between the 8: 40 AM and 2: 35 PM on single day is P1 and the time interval is 5 hours 55 minutes

i.e

= 5.91666 hours long.

So, P1 should be

= \frac{5.91666}{24}

= 0.2465

Now we assume the probability of rain on day 2 is P2

So it would be same  i.e 0.2465

Since these events are independent

So, the total probability is

= 0.2465 \times 0.2465

= 0.0608

Hence, the b option is correct

3 0
1 year ago
Which set of ordered pairs represents a function?
alina1380 [7]

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} - it's a function

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)} - it's a function

{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)} - it's a function

{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)} - it's not a function

5 0
1 year ago
Read 2 more answers
The graph of y=3x^2-3x-1 is shown. Use the graph to find estimates for the solutions of i)3x^2-3x+2=2 ii) 3x^2-3x-1=x+1
AlexFokin [52]

Answer:

i) (0, 2) and (1, 2), ii) (0.333, 1.333) and (1, 2).

Step-by-step explanation:

i) Let be y=3\cdot x^{2}-3\cdot x -1, if 3\cdot x^{2}-3\cdot x +2 = 2, which is equivalent to the following system of equations:

y = 3\cdot x^{2}-3\cdot x +2

y = 2

Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0, 2) and (1, 2)

ii) Let be y=3\cdot x^{2}-3\cdot x -1, if 3\cdot x^{2}-3\cdot x +2 = x+1, which is equivalent to the following system of equations:

y = 3\cdot x^{2}-3\cdot x +2

y = x+1

Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0.333, 1.333) and (1, 2)

7 0
2 years ago
A company logo is made up of a square and three identical triangles. What is the area of the logo? Enter your answer in the box.
garri49 [273]
Given:
square with sides measuring 7 cm.
3 triangles attached to three sides of the square. A line bisecting one triangle is measured at 4 cm.

Area of a square = s² = (7cm)² = 49 cm²

Area of a triangle = hb/2 = (4cm*7cm)/2 = 14 cm² 
Area of the 3 triangles = 14 cm² x 3 = 42 cm²

Total area of the logo = 49 cm² + 42 cm² = 91 cm²
7 0
1 year ago
Read 2 more answers
The simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is ____________<br> .
Mars2501 [29]

Answer:

x

Step-by-step explanation:

Given

- 2x²(x - 5) + x(2x² - 10x) + x ← distribute both parenthesis

= - 2x³ + 10x² + 2x³ - 10x² + x ← collect like terms

= x

5 0
2 years ago
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