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maksim [4K]
3 years ago
14

3. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be a stri

ke, 0.85 that the construction job will be completed on time if there is no strike, and 0.35 that the construction will be completed on time if there is a strike. What is the probability that the construction job will be completed on time
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0

Answer:

0.55 = 55% probability that the construction job will be completed on time

Step-by-step explanation:

We have these following probabilities:

0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.

1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.

What is the probability that the construction job will be completed on time?

p = 0.6*0.35 + 0.4*0.85 = 0.55

0.55 = 55% probability that the construction job will be completed on time

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In a certain large city, 45% of families earn less than $35,000 per year. Assuming the distribution is binomial and you can use
kotegsom [21]

Answer:

The probability is %13,5

Step-by-step explanation:

If it is a binomial distribution function than we can find a probability of earning less or more than 35000$ in this certain large city. Lets assume that p is probability of earning less than 35000$ and q is earning more than 35000$.:

p=0,45

q=0,55

So general formula of n families that earning less than 35000$ is:

P(X=n)=combination(30,n)*0,45^n*0,55^{30-n}

Probability of 10 or less families out of 30 families that earning less than 35000$ is:

combination(30,10)*0.45^{10}*0.55^{20}+combination(30,9)*0.45^9*0.55^{21}+combination(30,8)*0.45^8*0.55^{22}+combination(30,7)*0.45^7*0.55^{23}+combination(30,6)*0.45^6*0.55^{24}+combination(30,5)*0.45^5*0.55^{25}+combination(30,4)*0.45^4*0.55^{26}+combination(30,3)*0.45^3*0.55^{27}+combination(30,2)*0.45^2*0.55^{28}+combination(30,1)*0.45^{1}*0.55^{29}+combination(30,0)*0.45^0*0.55^{30}=0,135

7 0
3 years ago
The Strikers soccer team has 20 members, and 8 of them play offense. What percent of the team members play offense?
bulgar [2K]

Answer:

40%

Step-by-step explanation:

We already have our first value 20 and the second value 8. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ⇒ Y = 8/20

By multiplying both numerator and denominator by 100 we will get:

Step 2 ⇒ Y = 8/20 × 100/100 = 40/100

Step 3 ⇒ Y = 40

Finally, we have found the value of Y which is 40 and that is our answer.

3 0
3 years ago
Sam left his school at 3:05. He walked at a speed of 3.2 mph. 15 minutes later, Al started running after him, and he caught up w
KonstantinChe [14]
Total time taken by Sam before Al caught up with him = 15+10 = 25 minutes

In hours = 25 minutes = 25/60 = 5/12 hrs
Distance covered by Sam = Distance covered by Al = Speed (Sam) * time taken = 3.2*5/12 = 4/3 miles.

Al takes 10 minutes to cover that distance. Therefore,
Al's speed = Distance/time = (4/3)/(10/60) = (4/3)*(60/10) = 8 mph
5 0
3 years ago
Brianna buys 10 balloons for her sisters. She gives 5 balloons to each sister and has none left. How many sisters doe Brianna ha
Blababa [14]

Answer:

2

Step-by-step explanation:

10-5=5

5-5=0

7 0
4 years ago
Help Dana find the sum 346 421 152
chubhunter [2.5K]
To add and get the sum 
  346   
  421
+152

We start on the ones place 6 + 1 + 2 = 9, the sum of the digits in the ones place is not up to 10, we will not regroup this ones place.

So, basically the answer to 13a is NO.
Since we are not able to regroup the ones place there is no regrouped tens to add, therefore the answer to 13b is also NO.

Next is the tens place, 4 +2 +5 = 11, the sum of the digits in the ones place is up to 10 so we regroup the tens place.

Thus, the answer to 13c is YES.

Since, we regrouped the ones place, we add the regrouped hundred, thus the answer to 13d is YES.

Finally, for the hundred place, 1 + 3 + 4 + 1 = 9

Therefore, the sum of 
    346
    421
+  152
is 919
8 0
3 years ago
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