Answer:
Yes, Tom must be admitted to this university.
Step-by-step explanation:
We are given that the scores on national test are normally distributed with a mean of 500 and a standard deviation of 100.
Also, we are provided with the condition that Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test.
Let, X = score in national test, so X ~ N(
)
The standard normal z distribution is given by;
Z = 
~ N(0,1)
Now, z score of probability that tom scores 585 is;
Z = 
= 0.85
Now, proportion of students scoring below 85% marks is given by;
P(Z < 0.85) = 0.80234
This shows that Tom scored 80.23% of the students who took test while he just have to score more than 70%.
So, it means that Tom must be admitted to this university.
Answer:
0.75m
Step-by-step explanation:
The volume of a prism is:
the area of the cross section × length
In this case the cross section is the circle so the formula is
v = πr²h
volume = 21m³
height or length = 12m
Sub in the values:
21 = πr² × 12
1.75 = πr² (I divided both sides by 12)
0.5570423008 = r² (I divided both sides by π)
r = 0.74635... (I square rooted both sides)
r ≈ 0.75m (to 2 d.p)
Answer:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
Step-by-step explanation:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
Answer:
Answer: Sample Response: The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.
Step-by-step explanation:
