Answer:
x = 27
Step-by-step explanation:
Both angles together form 180 degree.
Set your formula up as
180 = (5x+2) + (x + 16)
180 = 5x + 2 + x + 16
180 = 6x + 18
180 - 18 = 6x
162 = 6x
162/6 = x
27 = x
Answer:
You didn't add a specific time frame so I can you a correct answer.
Explanation:
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣤⣄⠄⡀⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⣿⣿⣿⣿⣷⡒⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⡀⣹⣿⣿⣿⣿⣿⣯⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣀⣀⣴⣿⣿⣿⣿⣿⣿⠿⠋⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⢀⣀⣤⣶⣾⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠄⠄⠄⠄⠄⠄ ⠄⡶⣶⡿⠛⠛⠉⠉⠄⠄⠄⠄⢸⣿⣿⣿⣿⣿⣿⣿⠃⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠘⠃⠄⠄⠄⠄⠄⠄⠄⠄⢠⣿⣿⣿⣿⣿⡟⠁⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⣤⣾⣷⣿⣿⣿⣿⡏⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠂⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⢀⣤⣴⣾⣿⣿⣿⣿⡿⠛⠻⣿⣿⣿⣿⡇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠸⣿⣿⣿⣿⠋⠉⠄⠄⠄⠄⣼⣿⣿⡿⠇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠈⠻⣿⣿⣆⠄⠄⠄⠄⠄⣿⣿⣿⣷⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠻⣿⣿⣆⡀⠄⠄⠈⠻⣿⣿⣿⣦⡄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⣀⣌⣿⣿⣿⣦⡄⠄⠄⠄⠙⠻⣿⣿⣦⣀⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠈⠉⠉⠉⠉⠉⠁⠄⠄⠄⠄⠄⠄⠄⠘⠻⣿⢿⢖⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠉⠉⠁⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⢠⣴⣧⣤⣴⡖⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⣰⣿⣿⣿⣿⣿⣷⣀⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠈⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣆⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⢤⣴⣦⣄⣀⣀⣴⣿⡟⢿⣿⡿⣿⣿⣿⣿⣿⣿⡄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠉⠉⠙⠻⠿⣿⡿⠋⠄⠈⢀⣀⣠⣾⣿⣿⣿⣿⣿⡄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠋⠉⠉⠁⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠈⠛⠛⣿⣿⣿⣿⣿⣿⣇⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⢀⣠⣶⣿⣿⠿⢛⣿⣿⣿⣿⣷⣤⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⣶⣷⣿⣿⡉⠄⠄⠄⠄⠉⠉⠉⠉⠉⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠘⠛⠟⢿⣤⣤⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠄⣠⣶⣶⣷⣿⣶⡊⠄⠄⣀⣤⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣀⣴⣶⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⡏⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⢸⣿⡍⠁⠄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣼⣿⣿⣿⣿⣿⣿⣿⠏⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⣿⡿⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢸⣿⣿⣿⣿⣿⡿⠋⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⠻⣿⣿⣿⣿⣡⣶⣶⣄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣀⣀⣠⣴⣦⡤⣿⣿⣿⣿⡻⣿⣿⡯⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡟⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⢻⣿⣿⡏⠉⠙⠛⢛⣿⣿⣿⣿⠟⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⢿⣿⡧⠄⠄⢠⣾⣿⣿⡿⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠈⣿⣿⣄⣼⣿⣿⣿⠏⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠸⡿⣻⣿⣿⣿⣿⣆⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⣻⠟⠈⠻⢿⣿⣿⣆⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠿⠍⠄⠄⠄⠄⠉⠻⣿⣷⡤⣀⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⢻⣿⡿⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⡯⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠸⠃⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣠⣶⣶⣤⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣾⣿⣿⣿⣿⣿⡞⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⡿⢃⡀⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠘⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢈⣽⣿⣿⣿⣿⣿⣿⣿⢿⣷⣦⣀⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣸⣿⣿⣿⣿⣿⣿⣿⣿⠄⢉⣻⣿⡇⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢠⣿⣿⡉⣀⣿⣿⣿⣿⣋⣴⣿⠟⠋⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⢀⣀⣼⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣮⡠⠄⠄⠄⠄ ⠄⠄⠄⠄⢰⣾⣿⣿⡿⠿⠛⠛⠛⠉⠄⠄⠄⠄⠙⠻⢿⣿⣿⣿⣶⣆⡀⠄ ⠄⠄⠄⠄⠄⠹⣿⣿⣦⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢉⣿⣿⣿⣿⣿⠂ ⠄⠄⠄⠄⠄⠄⠈⢿⣿⣇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⣾⣿⡿⠟⠉⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠂⢿⣿⣥⡄⠄⠄⠄⠄⢀⣠⣶⣿⣿⠟⠋⠁⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⣀⣤⣾⣿⣿⣷⣿⣃⡀⢴⣿⣿⡿⣿⣍⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠈⠉⠉⠉⠉⠉⠉⠉⠄⠄⠄⠉⠙⠛⠛⠛⠛⠂⠄⠄⠄⠄⠄
Answer:
The standard deviation of weight for this species of cockroaches is 4.62.
Step-by-step explanation:
Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
To find : What is the approximate standard deviation of weight for this species of cockroaches?
Solution :
We have given,
Mean 
The sample mean x=55
A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
i.e. P(X>55)=14%=0.14
The total probability needs to sum up to 1,
The z-score value of 0.86 using z-score table is z=1.08.
Applying z-score formula,
Where, 
is standard deviation
Substitute the values,
The standard deviation of weight for this species of cockroaches is 4.62.
Answer:
x = 13
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here A = 55, h = 5. b₁ = x, b₂ = 9, then
× 5 × (x + 9) = 55
2.5(x + 9) = 55 ( divide both sides by 2.5 )
x + 9 = 22 ( subtract 9 from both sides )
x = 13
