Answer:
.45/5 converted to a decimal is 0.09
Step-by-step explanation:
I'm not sure what you mean by "with a line over 5" so I just thought u meant with 5 as the denominator
Answer:
The correct answer is "(18, 30) minutes".
Step-by-step explanation:
Mean,
= 24
Standard deviation,
= 2
The range of minutes where 99.7% of individuals completed the quiz will be:
= 
On substituting the values, we get
= 
= 
now,
= 
= 
Or,
= 
= 
i.e., 18 to 30 minutes
Answer:
.
Step-by-step explanation:
The minimun distance between a point and a plane is the perpendicular distance. The formula is
d = 
where 
, A=4, B=3, C=1 and D=-10. So, the distance is
d = 
d = 
d = .
Answer:
similar triangles
Step-by-step explanation:
First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.
From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:
Answer:
50 cm squared.
Step-by-step explanation:
All you need to do is multiply the 5 (which is the height) times 10 (which is the base).
The volume of a parallelogram is base times height.
so, 5 times 10 = 50
