The length is: 42 inches
The width is : 21 inches
Let:
x= quarters
y= dimes
x+y=67
and
.25x+.10y=12.40
x=67-y
.25(67-y)+.10y=12.40
16.75-.25y+10y=12.40
16.75-.15y=12.40
Lets rearrange this:
-.15y+16.75=12.40
-16.75 -16.75
-.15y=-4.35
the negatives cancel out
.<u>15y</u>=<u>4.35
</u>.15<em /><em> <u /></em>.15
y=29
Back to the original x=67-y
x=67-29
x=38
So,
x=38
y=29
<em />
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b
Given that ΔPQR ≅ ΔXYZ, then the corresponding angles are:
∠P ≅ ∠X
∠Q ≅ ∠Y
∠R ≅ ∠Z
From the picture, the corresponding sides are:
PQ ≅ XY
QR ≅ YZ
RP ≅ ZX
Suppose the student guesses the answers, we shall consider this a binomial probability problem of success. This implies that getting a question right is p=1/5.
The number of questions is n=20 questions.
The mean of binomial distribution is
mean=n*p= 20*1/5=4
b] The standard deviation of a binomial distribution is given by:
σ=√(n*p*(1-p))
=√(20*0.2*0.8)
=1.79~1.8
Answer:
μ=4 ; σ=1.8
