Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108
Answer:
Step-by-step explanation:
Hello!
a)
The dependent variable is
Y: length of a dugong
The explanatory variable is
X: age of a dugong
You need to estimate the linear regression of the length of the dugongs as a function of their age.
Using the given data I've estimated the regression using a statistic software:
The regression model is E(Yi)= α + βXi
The estimated model is ^Yi= a + bXi
Where a is the estimate of the intercept and b is the estimate of the slope:
a= 2.02
b= 0.03
And the estimate of the population variance of the error is Se²= 0.03
The estimated regression equation is ^Yi= 2.02 + 0.03Xi
b)
You have to estimate the length of a dugong when its age is 11 years using the model, for this all you have to do is replace X=11 in the regression line and calculate the corresponding ^Y value:
^Yi= 2.02 + 0.03*11= 2.35
The average length of an 11-year-old dugong should be 2.35.
I hope it helps!
Answer:
1) Decimal 
2) Binary 
3) Octal 
4) Hexadecimal 
Step-by-step explanation:
Given : Integer is 25
To find : Represent integer in decimal, binary, octal, and hexadecimal formats.
Solution :
1) Integer into decimal - To convert into decimal the base goes to 10.
So,
2) Integer into binary - To convert into binary the base goes to 2, it form in 0 and 1 and we divide integer by 2.
Divide 25 by 2 and note down the remainders.
2 | 25
2 | 12 R=1 ←
2 | 6 R=0 ↑
2 | 3 R=0 ↑
2 | 1 → R=1 ↑
So,
3) Integer into octal - To convert into octal the base goes to 8 and we divide integer by 8.
Divide 25 by 8 and note down the remainders.
8 | 25
| 3 → R=1
So,
4) Integer into hexadecimal - To convert into hexadecimal the base goes to 16 and we divide integer by 16.
Divide 25 by 16 and note down the remainders.
16 | 25
| 1 → R=9
So,
If Leon bought trail mix worth of $ 6.24, and he paid 0.78 per pound,
6.24/0.78= 8 lbs
For this case the first thing you should know is that by definition the slope of the line is given by:
m = (y2-y1) / (x2-x1)
Where we have two ordered pairs:
P1 = (x1, y1)
P2 = (x2, y2)
We observe then that according to the formula, the error of mine was to invert the numerator with the denominator.
Answer:
C: Mia switched the numerator and the denominator.
