Whats the x referring to<span />
the length of the side of this square is
cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=
a²=32
doing square root on both side

a=±
a=±2*2
Since side of square is always positive so
a=4
or 5.65 cm
we are given that
3 chickens to lay 32 eggs
now, we can find number of eggs per chicken
number of eggs per chicken= (total eggs)/(total chicken)
so, we get
number of eggs per chicken is

now, we can set up following
1.5 chicken : 1.5 eggs : 1.5 days
3 chickens : 3 eggs : 1.5 days
1 chicken : 1 egg : 1.5 days
Since, changing number of chicken won't affect time
time to lay eggs will always remain same
so,
for 1 chicken to lay
eggs
it takes

..............Answer
Answer: let the no of paperback books be x and hardcover books be y
4y - x = 3
Therefore, x - 4y = -3 -----(1)
x + y = 447 ----(2)
Put x = 447 - y in eqn 1
447- y - 4y = -3
-5y = -3 - 447
-5y = -450
y = 90
x = 357
Step-by-step explanation:
Answer:
The 95% confidence interval would be given by (96.98;100.82)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=0.62 represent the sample standard deviation
n=103 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
Since the Confidence is 0.95 or 95%, the significance is
and
, and the critical value for this case would be
And replacing we got:
The 95% confidence interval would be given by (96.98;100.82)