The length of the envelope is 6.3 inches
Step-by-step explanation:
Width of the envelope = 3 inches
Diagonal of the envelope = 7 inches
To find:
The length of the envelope.
Let the length of the envelope be 'l'
We can use pythogoras theorem to calculate the length.
l = √(49-9)
l = √(40)
l = 6.3 inches
The length of the envelope is 6.3 inches
Answer:
Probability that exactly 5 of them have blue eyes is 0.1165.
Step-by-step explanation:
We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 40 students
r = number of success = exactly 5
p = probability of success which in our question is % of people
having blue eyes, i.e; 8%
<em>LET X = Number of students having blue eyes</em>
So, it means X ~ 
Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)
P(X = 5) = 
= 
= 0.1165
Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.
Answer:
Zack will need 17 1/2 ft of fence
Step-by-step explanation:
To calculate this we will first pass the numbers to complete fractions
5 1/4 ft = 21/4 ft
3 1/2 ft = 7/2 ft
We have to add 2 times each side
21/4 ft + 21/4 ft + 7/2 ft + 7/2 ft =
Now we have to pass all the fractions to the same denominator
21/4 ft + 21/4 ft + 14/4 ft + 14/4 ft =
70/4 = 17 1/2
Zack will need 17 1/2 ft of fence
Answer:
25%
Step-by-step explanation:
% Change = Change ÷ Original × 100
% Change = 19 ÷ 76 × 100
% Change = .25 × 100
% Change = 25
After scout fixed the little old lady's bicycle horn, scout said Beep Repaired.