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Nadya [2.5K]
3 years ago
7

A large bowl contains 10 small balls and each ball has a color and a number. The 10 balls are denoted by B1, B2, B3, B4, R1, R2,

R3, G1, G2, G3, where B1 denotes a blue ball with the number 1, R1 denotes a red ball with the number 1, G2 denotes a green ball with the number 2, and so on. Two balls are drawn from the bowl at random, one after the other, without replacement. Let B3R1 denote B3 on the first draw and R1 on the second draw. Note that B4B4 is not possible since the draws are without replacement. (a) Let S be the sample space. What is the size of the set S, N(S)?
Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

Size of N(S) = 90, or S=90

Step-by-step explanation:

So since there are 10 items:

Each single item has 9 possibilities to be paired with, since it is drawn without replacement, and 1 item can't be drawn again.

So : 10 items x 9 possibilites = array of 90

SO ANSWER : 90

Hope I helped :)

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I WILL GIVE FIRST ANSWER BRAINLIEST
Ostrovityanka [42]

Answer:

1) Papa Ron's(60$ per shift)

2) Little Squeezer's(3$ per pizza)

3) Little Squeezer's

Explanation:

1) A shift's pay is money given for simply entering the workplace(at least in this problem!) So it would be money given whether Tony has delivered pizzas or not. It would be numerically equal to his pay when he doesn't deliver any pizzas.

Bombino's offers 56$ per shift(stated in Q),

Little Squeezer's offers 48$ when he has delivered no pizzas, thus it must be his pay per shift.

Pizza Tent offers 52$ when he has delivered zero pizzas(substitute  

p

=

0

in the given function S)

The graph shows that Papa Ron's offers 60$ when no pizzas are delivered. This is clearly the best pay per shift. (when  

x

=

0

,  

y

=

60

)

2) Bombino's: 2.5$ per pizza(stated)

Little Squeezers gives 6$ more than his default pay(which he would get even if he didn't deliver anything) when Tony has delivered 2 pizzas. Thus it gives 3$ per pizza.

Pizza Tent gives 2.75$ per pizza. This can be inferred from S.

S

=

2.75

p

+

52

Here, 52 is his default pay. He gets 2.75$ for each pizza delivered, as it is the coefficient of  

p

.

Papa Ron's pay per pizza can be calculated by finding the slope of the line in the graph.  

S

l

o

p

e

=

R

i

s

e

R

u

n

Here, I take the points (64, 2) and (60, 0).  

S

l

o

p

e

=

64

−

60

2

−

0

Thus the pay is 2$ per pizza delivered. For simplicity, I will define Papa Ron's pay as a function  

R

=

2

p

+

60

(Notice that 2 is the slope and 60 is the base pay)

Clearly, Little Squeezer's offers the most per pizza.

3) To figure this question out, we will need to find pay when Tony delivers 20 pizzas for each restaurant.

Bombino's pays  

56

+

2.5

(

20

)

=

106

$

Little Squeezer's pays  

48

+

3

(

20

)

=

108

$

Pizza Tent pays  

52

+

2.75

(

20

)

=

107

$

Papa Ron's pays  

60

+

2

(

20

)

=

100

$

So, Little Squeezer's is the company that pays best when Tony is delivering over 19 pizzas.

(This is a long question, I may have made a mistake. Please correct me if that is the case.)

Step-by-step explanation:

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2 years ago
Identify all of the following solutions of square root of x plus 14 end root plus 2 equals x.
BabaBlast [244]
\bf \sqrt{x+14}+2=x\implies \sqrt{x+14}=x-2\impliedby \textit{squaring both sides}
\\\\\\
(\sqrt{x+14})^2=(x-2)^2\implies x+14=x^2-4x+4
\\\\\\
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\\\\\\
x=\cfrac{5\pm\sqrt{(-5)^2-4(1)(-10)}}{2(1)}\implies x=\cfrac{5\pm\sqrt{25+40}}{2}
\\\\\\
x=\cfrac{5\pm \sqrt{65}}{2}\implies x=
\begin{cases}
\cfrac{5+ \sqrt{65}}{2}\\\\
\cfrac{5- \sqrt{65}}{2}
\end{cases}
5 0
3 years ago
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swat32
This depends on how many friends she has. Like if she has 72 friends each will get one of each, but if she has 3 friends than each will get 24 on each. Do you know how many friends she has?
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2 years ago
Let f(x)=g(x)h(x), g(10)=-4, h(10)=560, g'(10)=0, and h'(10)=35. find f'(10)
Ulleksa [173]
This question has extraneous info to trick you.
f(x) = g(x)h(x) ⇒ f'(x) = g'(x)h'(x) . Letting x = 10, we get f'(10) = g'(10)h'(10). then just plug in the values provided. g(10) and h(10) are there to throw you off, just use g'(10) and h'(10).
So f'(10), pronounced "eff prime of ten", = 0 * 35 = 0.

If the question were asking for f(10) instead of f'(10) then you would use g(10) and h(10), ⇒-4*560=90.
7 0
3 years ago
A university's freshman class has 5000 students. 80% of those students are majoring
icang [17]

Answer:

4000

Step-by-step explanation:

5000 * .8 is 4000

3 0
3 years ago
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