The diameter of the base of the cone measures 8 units.the height measures 6 units
1 answer:
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Answer:
Part (A): There are 9 integers between 5 and 31 which are divisible by 3.
Part (B): There are 6 integers between 5 and 31 which are divisible by 4.
Part (C): There are 2 integers between 5 and 31 which are divisible by 3 and by 4.
Step-by-step explanation:
Consider the provided information.
Part (A) we need to find how many integers between 5 and 31 are divisible by 3.
Between 5 and 31 there are 25 integers.
According to quotient rule:
That means either 8 or 9 integers are divisible by 3 as 8.33 lies between 8 and 9.
The integers are: 6, 9, 12, 15, 18, 21, 24, 27, 30
Hence, there are 9 integers between 5 and 31 which are divisible by 3.
Part (B) we need to find how many integers between 5 and 31 are divisible by 4.
Between 5 and 31 there are 25 integers.
According to quotient rule:
That means either 6 or 7 integers are divisible by 4, as 6.25 lies between 6 and 7.
The integers are: 8, 12, 16, 20, 24, 28
Hence, there are 6 integers between 5 and 31 which are divisible by 4.
Part (C) we need to find how many integers between 5 and 31 are divisible by 3 and by 4
Between 5 and 31 there are 25 integers.
Integers should be divisible by 3 and by 4, that means integers should be divisible by 3×4=12.
According to quotient rule:
That means either 2 or 3 integers are divisible by 3 and by 4 or 12, as 2.08 lies between 2 and 3.
The integers are: 12, 24,
Hence, there are 2 integers between 5 and 31 which are divisible by 3 and by 4.
Answer:
c. Substitute 22 for x in the equation.
Step-by-step explanation:
The scatter plot of this question is missing, so i have attached it.
The slope equation of this is written as;
y = mx + b
Where;
y is the values in the y-axis
x is the values in the x-axis
b is the intercept on the x-axis
Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.
Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.
Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.
