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:
A. T = 20°C - (2.8°C/h × 4h)
Step-by-step explanation:
The rate of change of temperature (-2.8°C/h) is multiplied by time (4h) to get the change in temperature (-11.2°C). That change is added to the initial temperature (20°C) to find the temperature after 4 hours.
Only equation A properly expresses this calculation.
In choice B, the rate of change is (wrongly) shown as +2.8°C/h. In the other choices, the combinations of units are nonsense. (What is a °C·h?)
X^2/3 = 64


it is easier to first find square root of 64 and than power it to 3
square root of 64 is 8 which means our equation now looks like:
x = 8^3
now the answer is after powering 8 to 3:
x = 512
Answer: 36.67 grams of water is added.
Step-by-step explanation:
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
so, it becomes,

Hence, 36.67 grams of water is added.
Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.
Step-by-step explanation:
Since we have given that
Total number of students and teachers = 409
Let the number of vans be x
Let the number of buses be x+5
Number of students and teachers each bus transported = 55
Number of students and teachers each van transported = 12
According to question,

Total number of students and teachers who rode to the zoo in buses will be

Total number of students and teachers who rode to the zoo in vans will be

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.