Answer:
38 yards²
Step-by-step explanation:
Area of trapeziods= ½(a+b)×height
a and b are the parallel lengths of the trapezoid.
Area of trapeziod= ½ (5.6+13.4)×4= 38 yards²
Therefore, the correct option is B
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Answer:
16.25% was spent on food
Step-by-step explanation:
Step one
given data
A family spends $520 every month on food
The family's income is $3200 Monthly
Required
We want to find the percentage of the income spent on food only
Step two
percentage spent on food= amount spent on food/income*100
percentage spent on food= 520/3200*100
percentage spent on food= 0.1625*100
percentage spent on food= 16.25%
=16.25%
In general, the most probable distribution is in the ratio of the respective types, namely
Number of blue tails
=12*(53/(53+40))
=6.84
To check between 6 or 7, we use the hypergeometric distribution:
P(B=6)
=C(40,6)C(53,6)/(C(93,12)
=3838380*22957480/416579843773639
=0.211530
P(B=7)
=C(40,5)C(53,7)/(C(93,12)
=658008*154143080/416579843773639
=65563917120/269282381237
=0.243476
Hence the most probable number of blue tail fishes is 7
Note: it would be prudent to calculate P(B=8)=0.194443 to show that P(B=7) is indeed the highest value.
<u><em>Answers:</em></u>
The function has no vertical asymptotes
The function has no horizontal asymptotes
<u><em>Explanation:</em></u>
<u>1- getting the vertical asymptotes:</u>
Vertical asymptotes occur when the denominator of the given function tends to zero.
This means that we need to equate the denominator to zero and solve for the variable.
The denominator in our function is a constant equal to 1 which cannot be equated to zero (1 ≠ 0).
<u>Therefore, we cannot solve for vertical asymptotes which means that our function has no vertical asymptotes</u>
<u>2- getting the horizontal asymptotes:</u>
For a function to have a horizontal asymptote, the degree of the numerator must be equal to or lower than the degree of the denominator.
<u>In our function:</u>
The highest power of x in numerator is 2 ........> numerator is 2nd degree
The highest power of x in denominator is 0 ....> denominator is zero degree
<u>This means that the condition of a horizontal asymptote is not satisfied. Therefore, the function has no horizontal asymptotes</u>