Answer:
For significance levels lower than 0.07, the null hypothesis would be rejected.
Step-by-step explanation:
Decision regarding the null hypothesis:
The decision depends on the p-value of the test.
If the p-value of the test is less than the significance level, the null hypothesis is reject.
If the p-value of the test is more than the significance level, the null hypothesis is not reject.
The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?
From the theory above, for significance levels lower than 0.07, the null hypothesis would be rejected.
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
4x + 8 = 2x + 7 + 2x - 20
4x + 8 = 4x - 13
8 = -13
no solution.
hope that helps, God bless!
From the reference of the 18 degree angle, 'h' is the opposite side and 100 is the adjacent side.
The trig ratio which uses both the opposite and adjacent sides is the tangent.
tan(18) = opp/adj = h/100
Trig equation:
tan(18) = h/100
Answer:
y equals to 31
Step-by-step explanation:
6(5) = 30
30+1 = 31
