Answer:
37
Step-by-step explanation:
we would had to call the number needed a random value or call it x but
let's do the calculation backward to ease things up
(566 - 11) ÷15 ➡ 555 ÷ 15 = 37
Answer:
Linear correlation exists
Step-by-step explanation:
Given the data :
X : | 2 4 5 6
Y : | 6 9 8 10
Using technology to fit the data and obtain the correlation Coefficient of the regression model,
The Correlation Coefficient, r is 0.886
To test if there exists a linear correlation :
Test statistic :
T = r / √(1 - r²) / (n - 2)
n = number of observations
T = 0.886 / √(1 - 0.886²) / (4 - 2)
T = 0.866 / 0.3535845
T = 2.449
Comparing Pvalue with α
If Pvalue < α ; Reject H0
Pvalue = 0.1143
α = 0.05
Pvalue > α ; We reject the null and conclude that linear correlation exists
3
1.5 and 4.5 all are divisible by 1.5. Then you just have to find another number that is as well. I chose 3. Theres also 6, 7.5,9,10.5,12
Answer:
=135.53°
Step-by-step explanation:
The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.
Let C be the position of the ship, then
AB is c=160
AC is b=220
BC is a=200
We use the cosine rule as follows:
c²=a²+b²-2ab Cos C
160²=200²+220²-2×200×220 Cos C
25600=88400-88000Cos C
88000 Cos C=88400-25600
88000Cos C=62800
Divide both sides by 88000.
Cos C=62800/88000
=0.7136
C=44.47°
He should turn (180°-44.47°)=135.53°
