Answer:
Meaning
Step-by-step explanation:
We have been given a parent function
and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from
.
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as
.
Answer:
The volume of can A is half the volume of can B.
Step-by-step explanation:
Given
Can A and Can B
Required
The true statement
For Can A, we have:


The volume is:

This gives:



For Can B, we have:


The volume is:

This gives:



So, we have:


By comparison, (d) is correct
Answer:
the sum of 2 consecutive even integers is 66.
Step-by-step explanation:
This means that if one integers is x, the other must be either x-2 or x+2. Therefore, we can write 6=x+(×-2)=2×2. Solving for x, we can find ×=34. this means that the other integer is 34-2=32. indeed, 32+34=66, and done hope this helped C:
Answer:
The correct option is 4.
Step-by-step explanation:
Given information:
Bring lunch : 46 males, 254 females
Buy lunch : 176 males, 264 females
Total number of peoples is

Total number of males is

The probability of male is

Since probability of males is 0.3, therefore options A and C are incorrect.
Total number of persons who buys lunch is

The probability of persons who buys lunch is

We need to find the probability of P(male | buys lunch).
According to the conditional probability, we get

P(male | buys lunch)
P(male | buys lunch)
P(male | buys lunch)
Therefore the correct option is 4.