Answer:
Step-by-step explanation:
Given
Required
Values of x
The given range implies that x is a prime number between 40 and 50 (inclusive)
From 40 to 50, the primes are: 41, 43 and 47
Hence:
Answer:
slope = 2/5 , y-intercept = -30
Step-by-step explanation:
-2x + 5y = -30
5y = 2x - 30
y = 2/5x - 6
we know that the general form is:
y = (slope)*x + (y- intercept)
so, from our equation, we can say that...
slope = 2/5
y- intercept = -30
Original Population = 1236000
Growth Rate = 1.3% per year
Since the population grows at an exponential rate, we can say that the growth of the population is an exponential growth.
Using the formula of exponential growth
population after 10 years = Original population (1-1.3%)^10
= 1236000 {1+(1.3/100)}^10
= 1236000 (1+0.013)^10
= 1236000 × 1.013^10
= 1236000 × 1.13787
= 1406407.32
Answer:
a) <em>Mean number of beans = 33.4 per coco pad</em>
<em>b) Standard deviation of the beans = 5.2 per coco pad</em>
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
a)
Given data 30, 28, 30, 35, 40, 25, 32, 36, 38 and 40.
mean of beans
x⁻ = ∑x/n
<em>Mean number of beans per coco pad = 33.4</em>
<em>step(ii):-</em>
<em>b) </em>
<u><em>standard deviation</em></u>
<em>∑(xi - x⁻)² = (30-33.4)²+ (28-33.4)²+(30-33.4)²+(35-33.4)²+(40-33.4)²+(25-33.4)²+(32-33.4)²+(36-33.4)²+ (38-33.4)²+(40-33.4)²</em>
<em>On calculation , we get</em>
<em> ∑(xi - x⁻)² = 242.4</em>
<em>standard deviation </em>
<em> = </em><em></em>
<em>Standard deviation of the beans (σ) = 5.2 per coco pad</em>