The formula for a right cone:
V = πr^2(h/3)
V: Volume
r: radius
h: height
πr^2 = base area of a cone
Answer
The formula for the volume in terms of base area b and height h is: V = b(h/3)
Answer:
Step-by-step explanation:
Number of red tiles = 1
Number of yellow tiles = 1
Number of blue tiles = 1
Number of green tiles = 1
Total number of tiles = 4
Also, given that there is a standard dice with faces numbered from 1 to 6.
Formula for probability of an event E can be observed as:
First of all, let the event be event that a red or yellow tile is chosen.
Number of favorable cases = 2
Total number of cases = 4
Let the event be event that a number between 1 and 3.
Number of favorable cases = 3
Total number of cases = 6
Answer:
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.
Step-by-step explanation:
We are given the following information in the question:
p-value = 0.793
Significance level = 0.05
Since p value is greater than the significance value so we fail to reject the null hypothesis and accept the null hypothesis. We conclude that there is not a significant linear relationship between two variables.
Thus, we can write:
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.
Let the place that they touch be x meters from the 300 m wall
Then the distance from the 500 m wall will be 1200 - x
Then....the total distance, D, can be expressed asD = sqrt [ x^2 + 300^2 ] + sqrt [ (1200 - x)^2 + 500^2 ]
This can be solved with Calculus, but it's a little messy
The graph shows that the minimum distance is achieved when x = 450m
And the minimum distance ≈ 1442 m
By the way......we can show that this is true if
arctan [ 300 / 450] = arctan [ 500 / 750 ] ......and this is true !!!!
Learn more about Distance:
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Question # 28We can use any two points to find the equation of the total cost(y) in terms of number of square feet(x).
I will be using first two points (1800, 630) and (2300, 805)
First we need to find the slope of the line.
Using the slope and a point (1800, 630) we can write the equation as:
y - 630 = 0.35 (x - 1800)
y = 0.35x - 630 + 630
y = 0.35x
So, option G gives the correct equation of the function.
Question # 29
Given function is:
y = 3.54x - 54.68
Increasing the y-intercept by 33.14 will result in following equation:
y = 3.54x - 54.68 + 33.14
y = 3.54x - 21.54
Notice that the slope of the lines are still the same. This suggest the lines are parallel. Addition or subtraction of a number to y-intercept only shifts the graph vertically. So in this case the graph will be shifted up by 33.14 units and will be parallel to the original line. Since graph is shifted up, its y-intercept will also be shifted up i.e. y-intercept will increase.
x-intercept is the point where y is zero. So substituting y=0 in both equations and finding the value of x will result in x-intercepts. The x-intercept decreases on shifting up the y-intercept in this case.
So, the only correct option is option A