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Arte-miy333 [17]
3 years ago
5

3 residents enter an elevator in an apartment complex at the ground floor. They each press a button 1-10 (each resident presses

the button that corresponds to his or her floor. The same button may be pressed several times). If each button is equally likely to be pressed, what is the probability that 3 consecutive buttons are pressed?
Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer:

The answer is %2,4

Step-by-step explanation:

Residents can press on 10 different button choice when they enters the elevator. Number of components for the sample space for the event is

10*10*10=1000

There are 8 different possibilities that 3 consecutive buttons are pressed those are:

-1,2,3

-2,3,4

-3,4,5

-4,5,6

-5,6,7

-6,7,8

-7,8,9

-8,9,10

When the pressing order doesn't matter, those buttons can be pressed 3 different ways for each possibility.

8*3=24

The probability is:

24/1000=0.024

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A class fundraiser is earning $7 per car wash w and $4 per cake c sold. The cakes cost $2 to make and the supplies or the car wa
11Alexandr11 [23.1K]

Answer:

w<50

c≤30

6w+2c≥320

Step-by-step explanation:

W stands for the car wash, and C stands for the cakes. Naturally, it would be 7w+4c≥320 but each cake costs $2 to make and each car wash costs $1 per car. This makes the system 6w+2c≥320. They will wash less than(<) 50 cars and bake no more than(≤) 30 cakes. I hope this helped :).

4 0
3 years ago
Pleaseeeeeeeeeee help
pickupchik [31]

Answer:

136

Step-by-step explanation:

35+35+42+12+12 =

70+42+24=

112+24=

136

6 0
2 years ago
2x^3-13x^2+9x-16/x-6 <br> divide the polynomials
professor190 [17]

Answer:

2x^2-x+3

Step-by-step explanation:

4 0
3 years ago
Discontunuity of f(x) = x^2 plus 2x over x plus 2
Lina20 [59]

Answer:

When we have a function like:

f(x) = \frac{g(x)}{h(x)}

This function will have a discontinuity only if it diverges, and a divergence can happen when the denominator is equal to zero and the numerator is different than zero.

In this case, we have the equation:

f(x) = \frac{x^2 + 2*x}{x + 2}

Here the denominator is:

h(x) = x + 2

This is equal to zero when:

x + 2 = 0

x = -2

Now we need to see what happens with the numerator when x = -2

g(-2) = (-2)^2 + 2*(-2) = 0

Is equal to zero.

Then we need to see the limit when x -> -2, and use the L'Hopital theorem.

\lim_{x \to \ - 2} \frac{x^2 + 2*x}{x + 2}

Because we have zero over zero at that point, we need to look at the quotients of the derivatives of both numerator and denominator.

\lim_{x \to \ - 2} \frac{2*x+ 2}{ 2} = \frac{2*-2 + 2}{2} = -1

Then the function does not diverge, then the function has no discontinuity.

We also could look at the graph of f(x) to see it:

Our function is a linear function, and this is because the numerator is x times the denominator, then the function is:

f(x) = x.

8 0
3 years ago
The area of a square field is 841m.A rectangular field whose length is twice it's breath has its perimeter equal to square field
lubasha [3.4K]
<h2>Answer with explanation:</h2>

Given: The area of a square field is 841 sq.m

Since side of square = √Area

So, side of square field = \sqrt{841} =29

Thus , side of square field = 29 m

Perimeter of square = 4( side) = 4(29) = 116 m

Let x be the breadth of rectangle then 2x be the length

Perimeter of rectangle = 2 (length+breadth) = 2(2x+x)= 2(3x)=6x

As per question, perimeter of rectangle=  Perimeter of square

\Rightarrow\ 6x=116\\\\\Rightarrow\ x=\dfrac{116}{6}=\dfrac{58}{3}\ m

Length : 2x =2\dfrac{58}{3}=\dfrac{116}{3}\ m

Area of rectangle =  length x breadth

=\dfrac{116}{3}\times\dfrac{58}{3}=\dfrac{6728}{9}\\\\=747\dfrac{5}{9}\ m^2

Area of rectangle = 747\dfrac{5}{9}\ m^2

3 0
4 years ago
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