Formula for Perimeter of Rectangle:
P = 2(L + W)
Plug in 160:
160 = 2(L + W)
L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)
160 = 2(4W + W)
Combine like terms:
160 = 2(5W)
160 = 10W
Divide 10 to both sides:
W = 16
Now we can plug this back into any of the two equations to find the length.
L = 4W
L = 4(16)
L = 64
So the width is 16, and the length is 64.</span>
Answer:there are 14 5point problems and 15 2point problems on the test.
Step-by-step explanation:
x represents number of 5 point questions and y represents questions worth 2 points.
The total number of questions in the test is 29. It means that
x + y = 29
x = 29 - y
Mr. Martin’s math test is worth 100 points. It means that
5x + 2y = 100 - - - - - - - - -1
Substituting x = 29 - y into equation 1, it becomes
5(29 - y) + 2y = 100
145 - 5y + 2y = 100
- 5y + 2y = 100 - 145
- 3y = - 45
y = - 45/-3
y = 15
x = 29 - y = 29 - 15
x = 14
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Answer:
He subtracted incorrectly
Step-by-step explanation:
You multiply 42.75 x 4 and get 171. Then you add 171+52.45=223.45 and then you subtract 223.45-18=205.45 and then you multiply 223.45 x .3333 = 68.3265 or 68.33 (rounded)
Answer: -60
Step by step
5 (2 - 9) -25
Start by distributing which will give you
10 - 45 - 25
Combine your like terms giving you
-60
