Answer:
-7 3/8
Step-by-step explanation:
The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have

So our solution is -7 3/8
We know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians
the answer part 1) is 0.57 radians
part 2)
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²
the answer Part 2) is 14 ft²
Answer:
the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Step-by-step explanation:
The summary of the given statistical data set are:
Sample Mean = 186
Standard deviation = 29
Maximum capacity 3,417 pounds or 17 persons.
sample size = 17
population mean =3417
The objective is to determine the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds
In order to do that;
Let assume X to be the random variable that follows the normal distribution;
where;
Mean
= 186 × 17 = 3162
Standard deviation = 
Standard deviation = 119.57






Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Answer:
60 is 5$ of 1200
Step-by-step explanation:
Find the value of the ratio 60/1200 and then multiply the result by 100%:
(1/20)(100%) = 5%
Unfortunately, this answer cannot be shown due to the fact it was reported apologies.