Answer:
10 outcomes
Step-by-step explanation:
The number of outcomes is the number of marbles in the bag since we are taking out one marble
4+2+1+3 = 10
There are 10 outcomes
Answer:
Yes, we reject the auto maker's claim.
Step-by-step explanation:
H0 : μ ≥ 20
H1 : μ < 20
Sample mean, xbar = 18 ;
Sample size, n = 36
Standard deviation, s = 5
At α = 0.01
The test statistic :
(xbar - μ) ÷ s /sqrt(n)
(18 - 20) ÷ 5/sqrt(36)
-2 /0.8333333
= - 2.4
Pvalue from test statistic : Pvalue = 0.00819
Pvalue < α
0.00819 < 0.01
Hence, we reject the Null
Expand the square: 4(x-11)^ =25
4(x-11)(x-11)=25
Distribute : 4(x-11)(x-11)=25
4(x(x-11)-11(x-11))=25
Distribute: 4(x(x-11)-11(x-11))=25
4(x^-11x-11(x-11))=25
Solution: x=17/2
x=27/2
hope that helps
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
