Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
Answer: You would need 512 cubic centimetres
Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.
If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.
The volume of a cube is given as follows;
V = L x W x H (and the answer is expressed as V³)
Since the length , width and height all measure 8 cm, the volume can simply be expressed as
V = L x L x L
V = L³
V = 8³
V = 512 cm³
Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.
Answer:
BC < AC < AB
Step-by-step explanation:
In triangle smallest has the smallest opposite side and so on
first find ∠A = 180 - 59 - 79
= 42
∠A < ∠B < ∠C
Then ∠A opposite side is BC is less
so BC < AC < AB
6 divided by 8 is 0.75. So 0.75 is your answer. :)
Answer:
Change in water level over thr period Given is 11.16 mm
Step-by-step explanation:
The change in water level. In the part of the river observed will be ;
Water level. = The rate of change in water level per year * period
Rate of change in water level = 1.8mm /year
Number of years = 6.2
The change in water level is thus :
1.8 mm / year * 6.2 years
= (1.8 mm / year * 6.2
= 11.16 mm