Answer:
a) The number of students in your school.
Step-by-step explanation:
Quantitative and Qualitative:
- The data that can be expressed with the help of numerical are know as quantitative variable.
- Qualitative variable is the non parametric variable and numerical does not describe the data
Discrete and Continuous data:
- Discrete data are expressed in whole number and cannot take all the values within an interval.
- Continuous variable can be expressed in decimals and can take any value within an interval.
a) The number of students in your school.
Since whole numbers are used to express number of children it is a discrete and continuous data.
b) The different colors of the eyes of your classmates.
These are qualitative data and numerical are not used to express them.
c) The height of all the people in your neighborhood.
These are continuous data as height is measured and can be expressed in decimals.
d) The acceleration of your car as you drive to school.
These are continuous data as acceleration is measured and can be expressed in decimals.
Answer:
The divisor and dividend have the same signs.
Step-by-step explanation:
Let's look at all of the possible outcomes of dividing with different signs.
Positive / positive = positive
Positive / negative = negative
Negative / positive = negative
Negative / negative = positive
We can see that whenever the signs are the same, the quotient is positive.
Answer:
The slope is 1/2
i believe
Step-by-step explanation:
Use the rise/run method
f(h(x))= 2x -21
Step-by-step explanation:
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
Answer:
(a)
and
are indeed mutually-exclusive.
(b)
, whereas
.
(c)
.
(d)
, whereas 
Step-by-step explanation:
<h3>(a)</h3>
means that it is impossible for events
and
to happen at the same time. Therefore, event
and
are mutually-exclusive.
<h3>(b)</h3>
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
<h3>(c)</h3>
Note that:
.
In other words,
and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
<h3>(d)</h3>
By Bayes' Theorem:
.
Similarly:
.