Answer:
20, 4
Step-by-step explanation:
Let's assume total number of students registered is n
Last week n/4 people are absent
so people present are n - n/4 = <u>3n/4</u>
Today after return of Jen 1/5 n are absent
so people present are n - n/5 = 4n/5
which is also equal to last week present people + 1 (Jen)
= 3n/4 + 1
= (3n + 4) / 4
so (3n + 4) / 4 = 4n/5
=> 3n + 4 = 4n/5 * 4
=> (3n + 4) * 5 = 16n
=> 15n + 20 = 16n
=> 20 = n
=> n = 20
So total students registered for class is 20
today no of people absent = n/5 = 20/5 = 4
Answer:
the answer is 12 cm
Step-by-step explanation:
Because of 8 cm on the small one, the 16 is double that, which means that 6 on the small would be 12 on the large
Answer:
The right answer is:
(a) -10.67
(b) 0.7986
Step-by-step explanation:
(a)
According to the question,
<u>X P(X) X.P(X) X2.P(X)</u>
<u>12130 0.002 24.26 294274</u>
<u>-35 0.998 -34.93 1222.55</u>
Now,
or,
hence,
The mean will be:
(b)
According to the question,
n = 12
p = 0.125
q = 1 - p
= 0.875
Now,
⇒
By substituting the values, we get
⇒
⇒
⇒
⇒
⇒
Answer: (1,-1)
Step-by-step explanation:
Midpoint of BC=(6+4)/2, (3–1)/2. =(5,1)
Slope of BC is (3+1)/4–6)= 4/-2 = -2
Slope of perpendicular bisector of BC =+1/2
Eqn of perpendicular bisector is : Y-1 =1/2 (x-5)
Y=1/2 •(x-5) +1
Midpoint of AB. (6–2)/2, (3–1)/2 ={2,1)
Slope of AB is(3+1)/(-2–6) = 4/-8 =-1/2
Slope of perpendicular bisector = +2
Eqn of perpendicular bisector is Y-1. =2( X-2)
Y=2X-4+1 = 2X -3
Solving Y=(X-5)/2 +1
& Y=2X-3
2X-3 =(x-5/2)+1
2X-4 =(x-5/2)
4X-8 = x-5
3X =3
X=1
Y= 2×1–3= -1
Circumcentre is(1,-1)
Answer:
<h2> $1008</h2>
Step-by-step explanation:
We begin by calculating the amount after the 25% discount
= regular price*0.75
=£160*0.75
=$120
We then continue by calculating the the amount that must be paid when 20% VAT is added
= 120*1.20
= $144
Now Tara is going to spend 7 nights
Hence she will have to pay
144*7= $1008