Fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5
now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B
The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.
<h3>What is Directrix of a Parabola ?</h3>
A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .
The equation of the parabola given is
y² = -24x
When the standard equation of parabola is
(y - k)² = 4p (x - h),
where the focus is (h + p, k) and the directrix is x = h - p.
here h = 0
p = -24/4 = -6
x = 0 - (-6)
x = 6
Therefore Option D is the correct answer.
To know more about Directrix
brainly.com/question/17376399
#SPJ1
Answer:
5% account = $1,240
10% account = $2,190
Step-by-step explanation:
Let's assume the amount of savings in the 5% account is x.
Thus the amount of savings in the 10% account is (x + $950).
We can write the following equation from the interest amount:
[5% x ] + [10% (x + $950)] = $281
5%x + 10%x + $95 = S281
15%x = $186
x = $1,240
There is $1,240 in the 5% account
Therefore, on the 10% account there is $1,240 + $950 = $2,190
Answer:
The jelly beans cost $2.25 / pound
The trail mix costs $1.25 / pound
Step-by-step explanation:
Let +a+ = cost/pound of jelly beans
Let +b+ = cost/pound of trail mix
(1) 6a + 2b =16
(2) 3a + 5b =13
Multiply both sides by 2
and subtract (1) from (2)
(2) 6a -2b = -16
(1) -6a -2b = -16
8b=10
b=1.25
and
(1) 6a+2b=16
(1) +3a+b=8
(1) 3a+1.25=8
(1) +3a=6.75
(1) a=2.25
Hi there,
I’m attaching the same image with more information on the graph.
The 4th mark (the middle dashed line) is marking the mean (70).
The 3rd and the 5th are marking the mean less/plus 1 deviation.
So, 70.5 is the 5th mark.
Taking this into account:
The probability of selecting a container that has less than 70.5 is 0.1% + 2.2% +13.6% 34.1% + 34.1% = 84.1%
The probability of choosing more than 70,5 = 13.6% + 2.2% +0.1% = 15.9%
Good Luck!
