Answer:
Probability that at most 50 seals were observed during a randomly chosen survey is 0.0516.
Step-by-step explanation:
We are given that Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey.
The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals.
Let X = <u><em>numbers of seals observed</em></u>
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean numbers of seals = 73
= standard deviation = 14.1
Now, the probability that at most 50 seals were observed during a randomly chosen survey is given by = P(X 
50 seals)
P(X 50) = P( 
) = P(Z -1.63) = 1 - P(Z < 1.63)
= 1 - 0.94845 = <u>0.0516</u>
The above probability is calculated by looking at the value of x = 1.63 in the z table which has an area of 0.94845.
Answer:
16 1/4 or 65/4
Step-by-step explanation:
4m -21 = 3(5m - 1)
4m - 21 = 15m - 3
15m - 4m = -21 + 3
11m = -18
m = -18/11
To check:
LHS → 4 (-18/11) -21 = - 303/11
RHS → 3( 5(-18/11) - 1) = -303/11
LHS = RHS (The answer is right)
Answer:
Density is directly related to the mass and the volume. In fact, it tells us of the exact relationship between the two. To find an object's density, we take its mass and divide it by its volume. If the mass has a large volume, but a small mass it would be said to have a low density.
Step-by-step explanation:
Check below, please.
1) Let's fill in that graphic organizer, considering the following
Dot Plot
Characteristics
This is represented by dots above the axis. These dots stands for the frequency of each data value.
Representation
We can represent them by:
Visual:
2) Now, let's proceed with the Histogram
Characteristics
A Histogram has much resemblance to a bar chart, the frequencies of each data point are represented by bars coming from the x-axis.
Representation
Notice that the y-axis marks the
frequency of each data point on the x-axis
Visual:
3) Box Plot or Box and Whiskers
This graphical representation
Representation:
Literally, in this graph, we have a box (indicating the Q1, Q2, and Q3) ie. the quartiles, and a line "the whiskers" for the outliers.
Visual:
