Answer:
a = 10 and b = 5
Step-by-step explanation:
We write out f(x)= ab^x for x = 0 and x = 3 to create two equations in a and b that must be solved simultaneously:
(0, 10): 10 = a*b^0
This tells us that 10 = a*1, or a = 10.
(3, 1250): 1250 = a*b^3 => 10*b^3, or
1250 = 10*b^3, or
125 = b^3. Taking the cube root of both sides, we obtain b = 5.
a = 10 and b = 5
If you read the question, you will see that the requirement is missing. By Googling the question, the complete content could be found here:
brainly.com/question/12108641
The mean price and median price are close together.
Answer: Option 2
<u>Explanation:</u>
The shape of the graph which is shown in the picture is symmetric. Since it is symmetrical in shape, most of the data is clustered together around the center. This center is the median. The mean will be close to the median, since most of the data values are close to this.
The graph shows that the prices of the beverages are some where near and close to each other. The prices are not at extreme ends and this makes the shape of the graph symmetrical. Had there been any kind of extreme ends, then the shape of the graph would not have been the same.
this equation is a non linear equation
Answer: The maximum the average can be for all the guests at the birthday party is 2 minutes 57 seconds.
Step-by-step explanation:
Since the ratio of adults to children is 4:1, then it follows that:
4/5 of the people are children
1/5 of the people are adults
A weighed average of the times would give:
1 minute 25 seconds = 85 seconds [for 1/5 of the people (the adults)]
3 minutes 20 seconds = 200 seconds [for 4/5 of the people (the children)]
(85 x 1/5) + (200 x 4/5) = 177 seconds
Therefore, the maximum the average can be for all the guests at the birthday party is 2 mins 57 secs.
