Answer:
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Step-by-step explanation:
Part (a)
Replace every 'a' with 5.2 and replace every 'b' with 4.7
Then use your calculator to evaluate.
3a + b^3 = 3*5.2 + (4.7)^3 = 119.423
<h3>Answer: 119.423</h3>
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Part (b)
The true value is 119.423 which is the result of part (a)
The estimated value is 140
Subtract the two values
140-119.423 = 20.577
and divide that over the true value
20.577/140 = 0.14697857142858
Which, when rounded to 4 decimal places, we get 0.1470
Move the decimal place over to the right 2 spots to get 14.70%
<h3>Answer: 14.70% error (approximate)</h3>
To obtain the probability of obtaining heads at least 3 times out of 5 times we recall that in her simulation <span>she
assigned odd digits to represent heads and even digits to represent
tails. Thus, we count the simulated numbers to see in how many numbers
do we have 3 or more odd digits.
Below, the simulated numbers with 3 or more odd digits are bolded.
</span> <span>32766 53855 34591 27732
47406 31022 25144 72662
03087 35521 26658 81704
56212 72345 44019 <span>65311
</span>
We have 6 simulated numbers having 3 or more odd digits.
Therefore, </span><span>P("heads" at least 3 out of 5 times) = 6 / 16 = 3 / 8.</span>
Given:
The statement is: If 2 angles are both right angles then they are congruent.
To find:
The converse of the given statement and then check whether it is true or not.
Solution:
We know that,
Statement: If p, then q.
Converse : If q, then p.
The statement is: If 2 angles are both right angles then they are congruent.
So, the converse of this statement is:
If 2 angles are congruent then both are right angles.
This statement is not true because if 2 angles are congruent then it is not necessary that the angles are right angles.
Therefore, the converse of this statement is not true.