Answer:
No
Mean diameter = 44, which is in the 40 - 44 cm group
Step-by-step explanation:
Given the data:
Diameter (cm) - mid point(X) - frequency(F) - - FX
35-39 - - - - 37 - - - - 8 - - 296
40-44 - - - 42 - - - 10 - - - 420
45-49 - - - 47 - - - 13 - - - 611
50-54 - - - 52 - - - 3 - - - 156
55-59 - - - 57 - - - 1 - - - 57
Mean of grouped data:
Sum of (F × X) / sum of F
1540 / 35 = 44
Answer:
<h2>
9/35, 0.257 or 25.7%</h2>
Step-by-step explanation:
The basic and simple way to calculate the probability of an event happening is by using this equation:
<h2>Number of desired outcomes</h2><h2>------------------------------------------------- = Probability </h2><h2>Number of all possible outcomes</h2><h2 />
Our desired outcomes are picking either red or yellow candies. The number of desired outcomes in this case is the total number of red and yellow candies. 6 red + 3 yellow = 9
Number of desired outcomes = 9
Number of all possible outcomes in this case is the total number of candies in the bag. 10 green + 8 brown + 3 yellow + 8 blue + 6 red = 35
Number of all possible outcomes = 35
Use the formula and we get that the probabbility of drawing out a yellow or red candy is: 9/35, 0.257 or 25.7% (those are 3 different ways to write the probability)
Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
#SPJ1
Answer:
Step-by-step explanation:
Answer:
458
Step-by-step explanation:
Margin of error = critical value × standard error
At 99% confidence, the critical value is z = 2.576.
The standard error is σ/√n = 5.4/√n.
Given the desired margin of error is 0.65:
0.65 = 2.576 × 5.4/√n
n = 458