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Mice21 [21]
3 years ago
10

A.)ii. and iii. B.)ii. C.)i. D.)i. and iv.

Mathematics
1 answer:
Vlad [161]3 years ago
4 0
The answer is B) ii

The notation "p --> q" means "if p, then q". For example

p = it rains
q = the grass gets wet

So instead of writing out "if it rains, then the grass gets wet" we can write "p --> q" or "if p, then q". The former notation is preferred in a math class like this. 

So when is the overall statement p --> q false? Well only if p is true leads to q being false. Why is that? It's because p must lead to q being true. The statement strongly implies this. If it rained and the grass didn't get wet, then the original "if...then" statement would be a lie, which is how I think of a logical false statement. 

If it didn't rain (p = false), then the original "if...then" statement is irrelevant. It only applies if p were true. If p is false, then the conditional statement is known to be vacuously true. So this why cases iii and iv are true. 
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4xy- 72 = 3w solve for y
Mashcka [7]

Answer:

y= \frac{3w}{4x}+ \frac{18}{x}

Step-by-step explanation:

Hope this helps. Plz give brainliest.

6 0
3 years ago
Please help!! 30 points
Stels [109]

Answer:

x = 4

31x + 6 = 130

12x + 2 = 50

Step-by-step explanation:

two angles side by side are equal to 180.

(31x + 6) + (12x + 2) = 180

43x + 8 = 180

43x = 172

x = 4

31x + 6 = 124 + 4 = 130

12x + 2 = 48 + 2 = 50

8 0
3 years ago
Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% a
Lera25 [3.4K]

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

4 0
2 years ago
Two lines that intersect to form right angle are called
Sergio039 [100]

Answer:

perpendicular

Step-by-step explanation:

When 2 lines intersect at any point, not just in the middle of each (that has nothing to do with it), and they meet to form right angles, the lines are perpendicular to one another and their slopes are opposite reciprocals.

4 0
2 years ago
If you flip 2 coins, what is the probability of getting exactly 2 heads
Ahat [919]

Answer:

This states that the probability of the occurrence of two independent events is the product of their individual probabilities. The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25.

Step-by-step explanation:

The probability of getting 2 heads with 2 coins can be broken into 2 steps:

The first coin must show Heads AND

the second coin must show Heads.

p(h,h)= P(H) <----- and means multiply

P(H) x P(H)= 1/2 x 1/2 =1/4

4 0
3 years ago
Read 2 more answers
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