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ludmilkaskok [199]
3 years ago
6

which of the following is a counterexample of the statement, "the sum of an odd number and an even number is always positive"? -

4+3=1, 1+0=1, -2+5+3, 1+2=3
Mathematics
2 answers:
creativ13 [48]3 years ago
8 0

Answer:

first one -4+3 is -1 not 1

Korvikt [17]3 years ago
8 0

Answer:

The first one

−4+3=−1

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Solve x2 + 4x − 4 = 0
hoa [83]

Answer:

third option

Step-by-step explanation:

Given

x² + 4x - 4 = 0 ( add 4 to both sides )

x² + 4x = 4

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 4 + 4, that is

(x + 2)² = 8 ( take the square root of both sides )

x + 2 = ± \sqrt{8} = ± 2\sqrt{2} ( subtract 2 from both sides )

x = - 2 ± 2\sqrt{2}

7 0
3 years ago
Read 2 more answers
A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
Aneli [31]

a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

- - -

Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

6 0
3 years ago
If Amber pays $55 for a pair of shoes, what would the discount be if the original price for Amber's shoes is $72.00?
baherus [9]
Answer: 76%
Explanation: 55/72.00 x __/100= 5,500
5,500 divided by 72.00= 76.3888889
8 0
3 years ago
A concrete pillar has the shape of a cylinder. It has a radius of 6 meters and a height of 4 meters. If concrete costs $82 per c
wel

Answer: $37077.12

Step-by-step explanation:

Please see the attachment below

7 0
3 years ago
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A washer and dryer cost $841 combined. The washer cost $59 less than the dryer. How much does the dryer cost?
konstantin123 [22]

Answer:

dryer cost = $450

Step-by-step explanation:

Given that:

washer + dryer = $841  ---- eq1

As washer costs $59 less than dryer So,

Dryer - $59 = washer

putting in eq1

Dryer + dryer - $59  = $841

2 dryers = $841 +$59

Dryer  = $900/2

Dryer = $450

So the cost of washer will be:

washer = dryer - $59

Washer = $450 - $59

washer = $391

i hope it will help you!

7 0
3 years ago
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