Answer:
34,220
Step-by-step explanation:
Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:
Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.
Answer:
C
Step-by-step explanation:
interior angle + exterior angle are supplementary
interior angle = 180° - exterior angle
⇒ interior angle = 180° - 135° = 45°
and interior angle = 180° - 100° = 80°
The sum of the 3 angles in a triangle = 180°
To find the third interior angle, subtract the sum of the 2 interior angles from 180
third interior angle = 180° - (45 + 80 )° = 180° - 125° = 55°
interior angles are 45°, 55° and 80°
Answer:56.8 inches
Step-by-step explanation:
For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.
the triangle is cut directly in half so both halves of the base are 17/2
17/2 = 8.5
solve through pythagoren theorum
altitude^2 + (half of base)^2 = (diagonal length)^2
18^2 + (8.5)^2 = (diagonal length)^2
324 + 72.25 = (diagonal length)^2
396.3 = (diagonal length)^2
= diagonal length
diagonal length = 19.9
diagonal length + diagonal length + base = perimeter
19.9 + 19.9 + 17 = perimeter
56.8 inches = perimeter
Answer:
15
Step-by-step explanation:
Population size= 2107+903+1505+1499
= 6014
Calculating the sample of ward B by using the stratified random sampling formula:
Stratified Random Sample, np= ( Np / N ) * n
where
np= pth stratum sample size
Np= pth stratum population size
N = population size
n = sample size
Stratified Sample (ward B) = 100 / 6014 * 903 = 15 !
Let the lesser number be x and y the greater. Then
x + 65 = 4y , Also
y - x = 2
Adding:-
y + 65 = 4y + 2
63 = 3y
y = 21
and
x = 21-2 = 19
Answer the 2 odd numbers are 19 and 21.
