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Sidana [21]
2 years ago
12

ll the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hour

s. a How many hours would this job take if the number of workers decreased by factor of 2?
Mathematics
1 answer:
Cloud [144]2 years ago
8 0

Answer:

44 hours

Step-by-step explanation:

Decreasing the people by a factor of 2 means we have 3 people

The job takes 6* 22 = 132 people hours

When we decrease the people, it will take more hours

132 people hours = 3 people * t hours

Divide each side by 3

132/3 = 3t/3

44 = t

It will take 44 hours

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Which of the following is the equation of a line perpendicular to the line, , passing through the point (3,9)?
julsineya [31]
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.

9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b 

so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
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5 0
3 years ago
The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a
sashaice [31]

Answer:

P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969

P(X \geq 1)= 1-P(X

P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n

P(X \geq 1)= 1-P(X

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.15)

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969

what is the probability that at least one error made?

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule:

P(X \geq 1)= 1-P(X

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors  and at least one error

P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n

P(X \geq 1)= 1-P(X

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Answer:

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Step-by-step explanation:

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