Answer:
(3, 2), (2, 3)
Step-by-step explanation:
x + y = 5
xy = 6
Solve the first equation for x.
x = 5 - y
Substitute 5 - y for x in the second equation.
xy = 6
(5 - y)y = 6
5y - y² = 6
y² - 5y + 6 = 0
Factor.
(y - 2)(y - 3) = 0
y - 2 = 0 or y - 3 = 0
y = 2 or y = 3
Now substitute 2 for y in the first equation and solve for x.
x + y = 5
x + 2 = 5
x = 3
One solution is x = 3; y = 2, or (3, 2).
Now substitute 3 for y in the first equation and solve for x.
x + y = 5
x + 3 = 5
x = 2
Another solution is x = 2; y = 3, or (3, 2).
Answer: (3, 2), (2, 3)
Answer:
$637.95
Step-by-step explanation:
convert 8.5% to a decimal by dividing by 100:
8.5÷100= 0.085
then multiply.
587.98×(0.085)=49.97
now add.
587.98+49.97=<u>637.95</u>
Answer:
the student should score atleast 229 to be among the top 10%.
Step-by-step explanation:
in terms of the normal distribution, and if the table that you're using calculates the area of the normal distribution from the mean to a point x, only then what we are actually finding the value 'x' at which the z-score is at 40% (the rest 50% is already skipped by the table)
after finding the the value at this z-score, we can find the value of x at which the score is in the top 10% range.
we can find the z-score either using a normal distribution table or calculator. (but be sure what area is it calculating)
looking at the table the closest value we can find is, 0.4015 at z = 1.29 ((it is above 40% because we want to be in the top 10% range)
the student should score atleast 229 to be among the top 10%.
The answer is 18 because you keep 6/1 Chang division to multiplication then flip 1/3 to 3/1 then solve it which again the answer is 18 ;)
The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.
<h3>Surface area of a cone</h3>
surface area = πr(r + l)
where
- r = radius
- l = slant height
Therefore,
l = 20 inches
24π = 2πr
r = 12
Therefore,
surface area = π(12)(12 + 20)
surface area = 12π(12 + 20)
surface area = 12π × 32
surface area = 384π inches²
learn more on surface area here: brainly.com/question/2847956
