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3 years ago

Can the -1 in front of - (y - 1) be distributed?

Mathematics

2 answers:

Alex787 [66]3 years ago

8 0

Yes it can be distributed.

-y+1 would be the equation if distributed because - and - equals a positive.

olchik [2.2K]3 years ago

6 0

-1(y-1)

-y+1 would be the simplified version so yes, it can be distributed

I hope this helps

-Ayden

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Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind

Gemiola [76]

Answer:

(a)

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

(b)

$1\ girl = \{GBB, BBG, BGB\}$

$P(1\ girl) = 0.375$

ii.

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

$P(Atleast\ 2 \ girls) = 0.5$

iii.

$No\ girl = \{BBB\}$

$P(No\ girl) = 0.125$

Step-by-step explanation:

Given

$Children = 3$

$B = Boys$

$G = Girls$

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

And the number of elements are:

$n(S) = 8$

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

$1\ girl = \{GBB, BBG, BGB\}$

And the number of the list is;

$n(1\ girl) = 3$

The probability is calculated as;

$P(1\ girl) = \frac{n(1\ girl)}{n(S)}$

$P(1\ girl) = \frac{3}{8}$

$P(1\ girl) = 0.375$

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

And the number of the list is;

$n(Atleast\ 2 \ girls) = 4$

The probability is calculated as;

$P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}$

$P(Atleast\ 2 \ girls) = \frac{4}{8}$

$P(Atleast\ 2 \ girls) = 0.5$

Solving (biii) No girl

From the list of possible elements, we have:

$No\ girl = \{BBB\}$

And the number of the list is;

$n(No\ girl) = 1$

The probability is calculated as;

$P(No\ girl) = \frac{n(No\ girl)}{n(S)}$

$P(No\ girl) = \frac{1}{8}$

$P(No\ girl) = 0.125$

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3 years ago

Solve the equation sin theta = 0.3 to the nearest tenth. Use the restrictions 90degrees < theta < 180degrees.

Alexxandr [17]

We first do:
∅ = sin⁻¹(0.3)
∅ = 17.5°

To go into the second quadrant, we add 90°.
∅ = 17.5 + 90
= 107.5°
The answer is A.

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3 years ago

COOKING The instructions on a box of chicken patties state that one patty should be cooked for 2.5 minutes

Julli [10]

Answer:

y=1.5x+2.5 ,

y=32x+52 ,

y=32x+2.5 ,

y=1.5x+52

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3 years ago

Give the degree of the polynomial -3w+x^6y^5-2+5y^4w^3x^2

Jlenok [28]

Answer:

Here the degree of the polynomial is 11.

Step-by-step explanation:

To find the degree of the multivariate polynomials, we need to add up the powers of all the variables. So the total degree is given by the sum of all the powers of the highest powers terms.

Now in the given polynomial $-3w+x^6y^5-2+5y^4w^3x^2$

the term with the highest total powers is $x^6y^5$ and thus the total power is 6+5=11.

And hence the degree of this polynomial is 11.

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3 years ago

Sin230°= 1. sin130° 2. -sin50° 3. sin50°

belka [17]

Answer:

cosine30

Step-by-step explanation:

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4 years ago