Answer:
The smallest positive number is 8
Step-by-step explanation:
let the smallest positive number = x
45 is a multiple of 9 ⇒ 9 x 5 = 45
the next multiple of 9 after 55 is 63
= 9 x 7
= 63
Thus, x + 55 = 63
x = 63 - 55
x = 8
The greatest common factor of 45 and 63 = 9
Therefore, the smallest positive number is 8
The winner got $70,000 and the runner up got $14,000
Let the winner be represented by x and runner up by y
Data given;
- Amount to be shared = $84000
- x = 5y
This is a simple case of ratio i.e 1 : 5
<h3>Equation</h3>
The runner up received $14000. let's use this data to find how much the winner got.
From the calculations above, the winner got $70,000 and the runner up got $14,000.
Learn more about ratios here;
brainly.com/question/1781657
Answer:
If radius of circle = 1, the shaded sector area is calculated by:
A = pi x radius^2 x (136 x 2)/360 = 3.14 x 1^2 x 272/360 =2.37
Hope this helps!
:)
Answer:
0.78015
Step-by-step explanation:
Given that :
Mean, μ = 1220
Standard deviation, σ = 110
Probability that sales is less Than 1305 on a given day
P(x < 1305) :
Obtain the standardized score Z
Z = (x - μ) / σ
Z = (1305 - 1220) / 110
Z = 85 / 110
Z = 0.7727272 = 0.7727
P(Z < 0.7727) = 0.78015 (Z probability calculator)
