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sveta [45]
3 years ago
6

Which statement is true? A) |13| = - 13 OB) - |-131 = 13 C) - |13|= 13 OD) |-13|= 13

Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

Answer:

D

Step-by-step explanation:

|-13|=13

Contact [7]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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PLEASE HELP ILL GIVE BRAINIEST AND POINTS ASAP
miskamm [114]

Answer:

$1161

Step-by-step explanation:

21.5% of 5400 is 1161.

6 0
2 years ago
The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee
adoni [48]

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

4 0
3 years ago
If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
2 years ago
I need help with this probability problem. I’m helping my brother with his homework and I don’t know how to solve this question.
Aleksandr-060686 [28]

Hello from MrBillDoesMath!

Answer:

Number marbles >= 5

Discussion:

The only certain thing we can say is the jar contains at least 5 (green) marbles.  The table  shows probabilities, not certainties, and is no guarantee that any other marbles even exist  in the jar,

Thank you,

MrB

5 0
3 years ago
Solve the system of equations<br> 3x – 2y + 4z = -14<br> -4x + y + 4z = -16<br> -3x - y - 4z = 2
Naddika [18.5K]

Answer:

x,y,x = 2,4, -3

Step-by-step explanation:

8 0
3 years ago
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