Answer:
Null hypothesis:
Alternative hypothesis:
And based on this the best option for this case is:
Ha: μregular > μspecial H0: μregular = μspecial
Step-by-step explanation:
For this case the interest is verify if the true average amount of warpage for that laminate is less than for the regular laminate.
Let's put notation:
represent the true mean for the amount of warpage for the regular laminate
represent the true mean for the amount of warpage for the special laminate
And based on the claim, the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And based on this the best option for this case is:
Ha: μregular > μspecial H0: μregular = μspecial
To determine the probability that exactly two of the five marbles are blue, we will use the rule of multiplication.
Let event A = the event that the first marble drawn is blue; and let B = the event that the second marble drawn is blue.
To start, it is given that there are 50 marbles, 20 of them are blue. Therefore, P(A) = 20/50
After the first selection, there are 49 marbles left, 19 of them are blue. Therefore, P(A|B) = 19/49
Based on the rule of multiplication:P(A ∩ B) = P(A)*P(A|B)P(A ∩ B) = (20/50) (19/49)P(A ∩ B) = 380/2450P(A ∩ B) = 38/245 or 15.51%
The probability that there will be two blue marbles among the five drawn marbles is 38/245 or 15.51%
We got the 15.51% by dividing 38 by 245. The quotient will be 0.1551. We then multiplied it by 100% resulting to 15.51%
If paul moved his market 2 units left and 3 units down his new location would be (1,5) in order for it to be the location (0,6) he would of had to move it 3 units left and 2 units down. so he had it backwards. I hope this helps!
12v + 3b = 243
4v + 4b = 204....multiply by -3
-------------------
12v + 3b = 243
-12v - 12b = - 612 (result of multiplying by -3)
-------------------add
-9b = - 369
b = -369/-9
b = 41 <=== each bus holds 41 students
4v + 4b = 204
4v + 4(41) = 204
4v + 164 = 204
4v = 204 - 164
4v = 40
v = 40/4
v = 10 <== each van holds 10 students
Answer:
y=-1/2x-4
Step-by-step explanation:
its right