Answer:
16%
Step-by-step explanation:
First we start by solving for the z score
We have the following information
x = 3.25
Standard deviation = sd = 2.25
Mean = 5.50
Z = (x - mean)/sd
z = 3.25 - 5.50/2 25
z = -1.00
If we look this up in the standard normal distribution table,
P(z<-1.00) = 0.1587
Which when approximated gives us
16%
Therefore approximately 16% of lobsters will have to be returned back to the sea.
Answer:
x is 97
Step-by-step explanation:
the interior angles have to equal 180 and the exterior angles have to come to 360 degrees
so you already know 23 to find the one by the 106 degree you use the linear pair postulate ( angles on a straight line will equal 180) so 180-106 equals 74. Now you have 2 of the three interior angles. To find the third you take 180 - 74 - 23 which equals 83 then you can use the linear pair postulate again and take 180-83 to get your answer for x which equals 97
Answer:
There are 729 possible results are there for the series
Step-by-step explanation:
If we have n trials, each with m possible outcomes, the total number of possible outcomes is:
In this question:
6 games(trials), so 
.
Each with three possible outcomes, so 
Then:
There are 729 possible results are there for the series
4x(3x²+5y) expand by distributing terms
4x*3x²+4x*5y take out the constants
(4*3)xx²+4x*5y simplify 4*3 to 12
12xx²+4x*5y use product rule=xᵃxᵇ=xᵃ+ᵇ, and change the two variables (the x's) into ones, because if there is just one variable with no number by it, then it is a one.
12x¹⁺²+4x*5y and simplify 1+2 to 3.
12x³+4x*5y finally simplify 4x*5y to 20xy
12x³+20xy
Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
