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Kaylis [27]
3 years ago
13

What is the sample space for the probability model?

Mathematics
2 answers:
Sonja [21]3 years ago
7 0

Answer:

sample space for a probability model is the set of all possible outcomes

muminat3 years ago
3 0
Sample space for the probability model is the set of all possible outcomes. ❤️
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Nikolay [14]

Answer:

3.  9 - (n ÷ 5 )  5. 8 x ( 5 x t )     (( i don't know the others ))  

Step-by-step explanation:

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Kevin is taking a taxi from the airport to his home. There is a $6 fee for riding in the taxi. In
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6+1m= t. That’s the equation for the problem.
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Can you help me with my math questions
GrogVix [38]

p^2+2(7)p+7^2=(p+7)^2


Justification:

Given:  p^2+14p+49


Split the middle term;

=p^2+7p+7p+49


Factor:

=p(p+7)+7(p+7)


=(p+7)(p+7)


=(p+7)^2


QUESTION 3a

The given expression for the area of the rectangle is  36x^2-12x+1.


This is equal to the indicated area which is 289\;in^2


This implies that


36x^2-12x+1=289


\Rightarrow (6x-1)^2=289


\Rightarrow (6x-1)(6x-1)=289


\Rightarrow l=(6x-1),w=(6x-1)



This implies that, the dimensions of the rectangle are equal;


Using the square root method, we obtain

\Rightarrow (6x-1)=\pm \sqrt{289}


\Rightarrow (6x-1)=\pm 17


\Rightarrow 6x=1\pm 17


\Rightarrow 6x=18 \:or\:6x=-16


\Rightarrow x=3 \:or\:x=-\frac{2}{3}

We discard the negative value.

The side length of this rectangle is


\Rightarrow l=(6(3)-1)=17,w=6(3)-1=17


QUESTION 3b

The given expression for the area of the rectangle is  25x^2-50x+25.


This is equal to the indicated area which is 1225\;in^2


This implies that


25x^2-50x+25=1225


25(x^2-2x+1)=1225


(5(x-1))^2=35^2


5(x-1)5(x-1)=49


\Rightarrow l=5(x-1),w=5(x-1)



This implies that, the dimensions of the rectangle are equal;


Using the square root method, we obtain

\Rightarrow 5(x-1)=\pm \sqrt{1225}


\Rightarrow 5(x-1)=\pm 35


\Rightarrow x=1\pm 7


\Rightarrow x=8 \:or\:x=-6

We discard the negative value.

The side length of this rectangle is


\Rightarrow l=5(8-1)=35,w=5(8-1)=35



QUESTION 3c

The given expression for the area of the rectangle is  49x^2-56x+16.


This is equal to the indicated area which is 289\;in^2


This implies that


49x^2-56x+16=289




(7x-4)^2=289


(7x-4)(7x-4)=289



\Rightarrow l=(7x-4),w=(7x-4)


Applying the laws of indices gives;


(7x-4)^2=17^2


This implies that;

7x-4=17


7x=21


x=3in.


The side length of this rectangle is


\Rightarrow l=7(3)-4=17\:in.,w=7(3)-4=17\:in.


Dont forget that the square is also a rectangle.





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3 years ago
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Help !!!<br>See question in image.<br>Please show workings .<br>​
ivolga24 [154]

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) \frac{f(x+h)-f(x)}{h}

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      = lim ( h to 0 ) \frac{4(x+h)^2-2-4x^2+2}{h}

      = lim( h to 0 ) \frac{4x^2+8hx+4h^2-4x^2}{h}

      = lim( h to 0 ) \frac{8hx+4h^2}{h}

      = lim ( h to 0 ) \frac{4h(2x+h)}{h} ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

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Answer:

Step-by-step explanation:

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