Answer:
Total hours that Jenny ran = 3.63 hours.
Step-by-step explanation:
Jenny ran on Tuesday for = 2/5 hours or 0.4 hours.
Time consumed to run on Thursday = 11/6 hours or 1.83 hours.
Time consumed to run on Saturday = 21/ 15 hours or 1.4 hours.
Here, the total hours can be calculated by just adding all the running hours. So the running hours of Tuesday, Thursday, and Saturday will be added to find the total hours.
Total hours that Jenny ran = 0.4 + 1.83 + 1.4 = 3.63 hours.
180=15+85+(4x-20)
180-15-85=4x-20
80=4x-20
4x-20=80
4x=80+20
4x=100
x=100/4
x=25
7-x=7, subtract 7 from each side. x=0
Answer:
a.) 0.1685
b.) 0.7922
Step-by-step explanation:
This question is solved by the probability distribution formula for selection which uses the combination formula to derive the answer.
If 7 out of 12 cases Of refrigerators are said to have compressor problem, then the success rate to be used in the probability distribution formula = p = 7/12 = 0.583
Probability of failure = q = 0.417
When choosing r samples from a possible n sample, then probability distribution formula is denoted by :
P(X=r) = nCr × p^n × q^n-r
a.) From possible 6 samples, if P(X=5)
P(X=5) = 6C5 × 0.583^5 × 0.417¹
P(X=5) = 0.1685
b.) P(X≤4) =1 -P(X>4) = 1 - P(X=5) - P(X=6)
P(X=5) as calculated earlier = 0.1685
P(X=6) = 6C6 × 0.583^6 × 0.417^0
P(X=6) = 0.0393.
Hence, P(X≤4) = 1- 0.1685 - 0.0393
P(X≤4) = 0.7922
We will multiply both sides of an equation by 6 z :
2=-5z+1
2-1=-5z
1=-5z
