perimeter = 2L+2w
from the problem L = 1/5w-2
so perimeter = 2(1/5w-2) +2w
= 2/5w-4 +2w
=12/5w-4
without seeing your choices it should be similar to this
The measure of ∠1 is also <span>93° because vertically opposite angles are equal.</span>
Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2
3 quarters, and two thirds of a quarter so It's [3 2/3]
Answer:
a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.
b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.
c) The probability of sampling at random a fish that has a size between the two values is 0.383.
d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.
e) The probability that the average calculated will be less than the value is 0.3707.
Step-by-step explanation:
For the given data set mean 
Standard deviation 
Variance 
Here we get is
a)

b)

c)

d)
25th percentile:-
![= 25*[(n+1)/100]th term \\\\= 5.69](https://tex.z-dn.net/?f=%3D%2025%2A%5B%28n%2B1%29%2F100%5Dth%20term%20%5C%5C%5C%5C%3D%205.69)
75the percentile:-
![= 75*[(n+1)/100]th term\\\\ = 5.87](https://tex.z-dn.net/?f=%3D%2075%2A%5B%28n%2B1%29%2F100%5Dth%20term%5C%5C%5C%5C%20%3D%205.87)
e)
