Answer:
6.7% of children who finished the race in under 45 seconds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 75 seconds
Standard Deviation, σ = 20 seconds
We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.
Formula:
P(finished the race in under 45 seconds.)
P(x < 45)
Calculation the value from standard normal z table, we have,
6.7% of children who finished the race in under 45 seconds.
Answer:
See the procedure
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
a,b,c the lengths side of triangle
c is the greater side
The perimeter is equal to
P=a+b+c
P=36 cm
If c=18 cm
then
a+b=18
Applying the Triangle Inequality Theorem
a+b > c
18 > 18 ----> is not true
therefore
Principal Aranda is incorrect
The larger side cannot measure 18 cm
The largest side must be less than 18 cm
Answer:
D. enlargement
Step-by-step explanation:
enlargement means to increase something
We know that
The exterior angle measures of a polygon must add up to 360°,
therefore
360°/72°=5 exterior angles
so
5 exterior angles, would mean 5 interior angles and therefore 5 sides to the polygon
The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.
exterior angle+interior angle=180°
interior angle=180°-exterior angle
interior angle=180°−72°-------> 108°
Each interior angle is 108°
The sum of the interior angles would be
5*108°=540°
the answer is
540°
3x8 is 24 plus 4 is 28
7x1 is 7 plus 2 is 9
9+28 is 37
