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Is it possible to place 158 books on three shelves so that the first shelf has 8 less books than the second and 5 more books tha
1 answer:
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we know that
<u>case a)</u> alternate exterior angles
m∠2=m∠7 --------> by alternate exterior angles
m∠1=m∠8 --------> by alternate exterior angles
<u>case b)</u> alternate interior angles
m∠3=m∠6 --------> by alternate interior angles
m∠5=m∠4 --------> by alternate interior angles
<u>case c)</u> corresponding angles
m∠1=m∠5 --------> by corresponding angles
m∠3=m∠7 --------> by corresponding angles
m∠2=m∠6 --------> by corresponding angles
m∠4=m∠8 --------> by corresponding angles
<u>case d)</u> vertical angles
m∠1=m∠4 --------> by vertical angles
m∠2=m∠3 --------> by vertical angles
m∠5=m∠8 --------> by vertical angles
m∠6=m∠7 --------> by vertical angles
therefore
the answer in the attached figure
Answer:
a)
b)
Step-by-step explanation:
a) This is an exponential distribution question since it is a poisson type problem
Mean rate is 0.95 per 1000 passengers
Mean rate,
per passenger
Probability that at least 490 passengers will have their baggage handled properly before the next mishandling occurs :
b) Probability that the number will be fewer than 200 passengers
Answer:
The vertical intercepts is
(4/3,0) (3,0) (1,0)
The horinzontial intercepts is
(0,72)
The end behavior is
<em>as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.</em>
Step-by-step explanation:
The vertical or y intercepts will be zeroes of the following factors.
We solve for x each time.
Part B). We need to find the intercepts by setting the equation equal to zero.
The constant expanded will equal 72.
If x=0,
where y is any real number.
So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is
Part C) End Behavior
The leading degree is even. Even Degree Polynomials like Quadratics tend to go approach positive infinity vertically as x approaches positive infinity, and as x approaches negative infinity, it approaches positive infinity vertically.
Our leading coefficient is negative so this means our quadratic will get reflected across the x axis.
Now this means, as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.