Answer
7.21
Step-by-step explanation:
Data :
(-3,-4) , (1,2)
Where
x₁ = -3 , x₂ = 1
y₁ = -4 , y₂ = 2
Formula for distance
D = √{(x₂-x₁)² + (y₂-y₁)²}
= √{(l--3)² + (2--4)²} = √(16+36) =√52 =7.21
Answer:
x = 5/e
Step-by-step explanation:
ln x- ln 5= -1
We know that ln a - ln b = ln (a/b)
ln x- ln 5= -1
ln(x/5) = -1
Raise each side to the power of e
e^ ln(x/5) = e^-1
We know that e^-1 = 1/e
x/5 = 1/e
Multiply each side by 5
x/5 *5 = 1/e * 5
x = 5/e
Answer:
1. 301.6 
2. 576
3. 274.41
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and 
. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)
Answer:
Scatterplot
Step-by-step explanation:
Bivariate data means that the data is in two variables. For example, if the height of the students is plotted against their age, this data will be the bivariate data.
A bivariate data is represented using the graph known as Scatter Plot. One variable is plotted along x-axis and second variable is plotted against y-axis. After plotting the two variables we can observe the relation(association) between the two variable using the line of best-fit which models the relation between the two variables.
So, the answer to this question is Scatterplot.
Answer:
a) 60
b) 0.24
c) 150
Step-by-step explanation:
a) P(green) = ⅕
Expected no. = 300 × ⅕
= 60
b) total = 300
P(purple) = 72/300
= 6/25 = 0.24
c) P(blue) = 45/300
= 3/20 = 0.15
Expected no.: 1000 × 0.15
= 150
