<u>Answer:</u>
The correct answer option is D.
.
<u>Step-by-step explanation:</u>
We are given the following expression and we are to simplify it:

Here the variables
and
are having negative powers. So to change these powers from negative to positive, we will take their reciprocals to get:

Answer:
A
Step-by-step explanation:



Answer:
Step-by-step explanation:
each box has 12 melon for 15 dollars:
the price of one melon : 15/12=1.25 dollar each
he bought 12 boxes of melon and paid 15 dollars for each :
12*15=180 dollars
total melon is : 12*12=144 dollars
he sold 3/4 of a melon : 3/4 *144=108
the cost of 108 : 108*1.25= 135 dollars
at a price of $ 1.6 = 108*1.6= 172.8
the rest of the melon sold at reduce price=
144-108= 36
over all profit = 15 %
180*(1+0.15)=207 dollars profit
selling 108 melons : $172.8
overall profit - profit from selling 108 melons: 207-172.8=$34.2
<h2>reduced price = 34.2/36=0.95 dollars</h2>
Answer:
Statement B and D are correct.
Step-by-step explanation:
The number of minutes Gabriel spends grading essays can be presented as a function: f(x) = 4x, where x is the number of graded essays and 4 is the number of minutes Gabriel spends on grading each essay.
By definition, domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
So in this case, domain of f(x) is the set of all values of x which is an integer going from 0 to 105. Statement D is accurate.
Range of f(x) is the set of all values that f takes and can be calculated by multiplying 4 with (0,105), equal (0,420). Statement B is accurate.
To solve this problem, we make use of the formula for
Confidence Interval:
Confidence Interval = X ± z * σ / sqrt (n)
where X is the mean value, z is the z score which is taken
from the standard tables, σ is the standard deviation, and n is the number of
samples
z = 1.645 (at 90% Confidence Level)
Substituting the values into the equation:
Confidence Interval = 94 ± 1.645 * 12 / sqrt (70)
Confidence Interval = 94 ± 2.36
Confidence Interval = 91.64, 96.36
Therefore at 90% confidence level, the blood pressure
reading ranges from 91.64 mmHg to 96.36 mmHg.