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Nadya [2.5K]
2 years ago
6

The product of x and its opposite is always 1. O True O False

Mathematics
2 answers:
Yuliya22 [10]2 years ago
5 0

Answer:

false

Step-by-step explanation:

x*-x= - x ² so its not always 1

so I just started using brainly sorry if its not appropriate

kari74 [83]2 years ago
3 0

Answer:

False

Step-by-step explanation:

x

The opposite of x is -x

x* -x = -x^2

This is not always 1

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A family plans to have 3 children. For each birth, assume that the probability of having a boy is the same as the probability of
Rzqust [24]

Answer:

1/2

Step-by-step explanation:

50-50 chance they will have a boy each time, 50-50 chance they will have a girl each time

3 0
2 years ago
Find the probability of being dealt a full house. (Round your answer to six decimal places.)?
vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

\dbinom42\dbinom43=24

and the number of ways of drawing 3 aces and 2 2s is the same,

\dbinom43\dbinom42=24

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

2\dbinom{13}2\dbinom42\dbinom43=3744

The total number of hands that can be drawn is

\dbinom{52}5=2,598,960

Then the probability of getting a full house is

\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}

4 0
3 years ago
Can someone help? Thanks! :)
sukhopar [10]

Answer:

<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

Step-by-step explanation:

We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;

This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;

5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,

25 + 25 = x^2,

x^2 = 50,

x = √50

Now the same procedure can be applied to this other quadrilateral;

3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,

9 + 49 = x^2,

x^2 = 58,

x = √58

<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

5 0
2 years ago
Do most people your age understand finance?
stealth61 [152]

Answer:

Age 1-NO

Age 2-NO

Age 3-NO

Age 4-NO

Age 5-NO

Age 6-NO

Age 7-NO

Age 8-NO

Age 9-NO

Age 10-NO

Age 11-maybe probably not

Age 12-maybe probably not

Age 13-maybe probably not

Age 14-kinda

Age 15-kinda

Age 16-starting to know more

Age 17-starting to know more

Age 18-pretty sure

Age 19-pretty sure

Age 20-yes

8 0
2 years ago
In the equation, y = 4k, identify the dependent and independent variables
ivolga24 [154]
Y is the independent variables
k is the dependent variable
5 0
3 years ago
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