Answer:
m = -11/6
Step-by-step explanation:
5m -2(m + 2) = -(3m +15)
5m - 2m - 4 = -3m - 15
3m + 3m = -15 + 4
6m = -11
m = -11/6
Answer:
x=12
Step-by-step explanation:
we know that
If the two chords are equidistant from the center of the circle, then the chords must be congruent.
so
JK=LM
substitute the given values

solve for x

Answer:
a) 1 in : 6 in
b) P=32 inches
A =60 inches ^2
c) P= 16 ft
A = 15 ft ^2
Step-by-step explanation:
The drawing is 6 inches tall, while the real flag is 3 ft tall
Change ft to inches
3 ft * 12 inches/1ft = 36 inches
drawing : real life
6 36
Divide each by 6
1 6
The scale is 1 to 6
So for every 1 inch on the drawing, there is 6 inches in real life
b) P= 2(l+w) = 2(10+6) = 2(16) = 32 inches
A = l*w = 10*6 =60 inches ^2
C)
The drawing is 10 inches by 6 inches
Multiply by the scale factor of 6
Real life is 60 inches by 36 inches
Divide by 12 to get back to ft
5ft by 3 ft
P= 2(l+w) = 2(5+3) = 2(8) = 16 ft
A = l*w = 5*3 =15 ft ^2
Answer:
Probability that one or more people in Arbalest got a cold is 0.9987.
Step-by-step explanation:
We are given that according to a report, 11 people got colds for every 2000 people.
There are 1200 people in the town of Arbalest.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 1200 people
r = number of success = one or more people got a cold
p = probability of success which in our question is probability
that people got colds, i.e; p =
= 0.55%
Let X = <u><em>Number of people in Arbalest who got a cold</em></u>
So, X ~ Binom(n = 1200 , p = 0.0055)
Now, Probability that one or more people in Arbalest got a cold is given by = P(X
1)
P(X
1) = 1 - P(X = 0)
=
=
= 0.9987 or 99.87%
Hence, the required probability is 99.87%.