Answer:
Step-by-step explanation:
10 4/5 = 10.8
10 7/10 = 10.7
Frankie did not swim the longest distance.
Gus did.
10.8>10.7
Answer:
And rounded up we have that n=1068
Step-by-step explanation:
We have the following info given:
the confidence level desired
represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
(a)
The confidence level is 95% or 0.95, the significance is 
and the critical value for this case using the normal standard distribution would be 
Since we don't have prior information we can use 
as an unbiased estimator
Also we know that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Answer:
m∠KIJ = m∠LIM ⇒ answer B
Step-by-step explanation:
* Lets explain how to solve the problem
∵ I is the mid-point of NH
∴ IN = IH
- MJ is perpendicular to NH and passes through I the mid-point of NH
∴ MJ is perpendicular bisector of NH
- NH ⊥ MJ and intersects it at I
∴ m∠NIM = m∠NIJ = 90°
- ∠ NIM consists of two angles ∠NIL and ∠MIL
∵ m∠NIM = m∠NIL + m∠MIL
- ∠NIJ consists of two angles ∠NIK and ∠JIK
∵ m∠NIJ = m∠NIK + m∠JIK
∴ m∠NIL + m∠MIL = m∠NIK + m∠JIK ⇒ (1)
∵ NH bisects ∠KIL
∴ m∠NIL = m∠NIK ⇒ (2)
- From (1) and (2)
∴ m∠MIL = m∠JIK
* m∠KIJ = m∠LIM
Answer:
x = 8^3
Step-by-step explanation:
To rewrite an equation with logs in exponential form, you need to know
logb(a) = m is equivalent to a= b^m
So given log8 (x) = 3 is equivalent to x = 8^3
Answer:
All you have to do is use the formula for coordinates of a midpoint of a line segment. If the segment's ends are
A
=
(
x
A
,
y
A
)
and
B
=
(
x
B
,
y
B
)
, then the midpoint has coordinates:
Step-by-step explanation:
