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elena-14-01-66 [18.8K]
4 years ago
9

Can someone help, please?

Mathematics
1 answer:
pickupchik [31]4 years ago
3 0
<span>
One painter can finish a certain job 5 hours before another painter who is doing the same job. When they work together they can finish this job in 6 hours. How long does it take for each painter to do the job by himself? 6 hours</span>
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California is hit every year by approximately 500 earthquakes that are large enough to be felt. However, those of destructive ma
Elanso [62]

Answer:

a) The probability that at least 3 months elapse before the first earthquake of destructive magnitude occurs is P=0.7788

b) The probability that at least 7 months elapsed before the first earthquake of destructive magnitude occurs knowing that 3 months have already elapsed is P=0.7165

Step-by-step explanation:

Tha most appropiate distribution to model the probability of this events is the exponential distribution.

The cumulative distribution function of the exponential distribution is given by:

P(t

The destructive earthquakes happen in average once a year. This can be expressed by the parameter λ=1/year.

We can express the probability of having a 3 month period (t=3/12=0.25) without destructive earthquakes as:

P(t>0.25)=1-P(t

Applying the memory-less property of the exponential distribution, in which the past events don't affect the future probabilities, the probability of having at least 7 months (t=0.58)  elapsed before the first earthquake given that 3 months have already elapsed, is the same as the probability of having 4 months elapsed before an earthquake.

P(t>0.58)/P(t>0.25)=P(t>0.33)

P(t>0.33)=1-P(t

8 0
3 years ago
The Cooper family, consisting of 6 children and 2 adults, goes to the movies and pays a total of $86. The Griffen birthday party
Oksanka [162]

Answer: The cost of child's ticket = $10

The cost of adult ticket = $ 13

Step-by-step explanation:

Let x be the cost of a child ticket and y be the cost of an adult ticket.

Then According to the question, we have

6x+2y=86..........................(1)\\\\10x+3y=139.......................(2)

Multiply equation (1) by 3 and equation (2) by 2, then we have

18x+6y=258.......................(1)\\\\20x+6y=278...........................(2)

Subtract equation (1) from equation (2), we have

2x=20\\\\\Rightarrow\ x=10

Substitute the value of x in equation (1), we get

60+2y=86\\\\\Rightarrow\ 2y=26\\\\\Rightarrow\ y=13

Hence, the cost of child's ticket = $10

The cost of adult ticket = $ 13

4 0
3 years ago
The parabola graphed below represents a side view of a parabolic microphone dish. The directrix is drawn in as well. The end of
marysya [2.9K]
I do not know the answer
6 0
4 years ago
The main entrance to the Louvre art museum is shaped like a pyramid. The
natita [175]

The Lateral Surface Area of Square based pyramid whose height= 71 feet Slant height= 90 feet and Base= 115 feet is 20700  ft^{2} .

The Lateral Surface Area is 20700 ft^{2}

<h3 /><h3>What Lateral Surface Area of Square based pyramid?</h3>

The word "lateral" means "belonging to the side". So the lateral area of a square pyramid is the sum of the areas of its side faces. This is also known as the lateral surface area (LSA) of the square pyramid. We know that a square pyramid has:

  • a base which is a square.
  • 4 side faces, each of which is a triangle.

It is given that,

  • height, h= 71 feet
  • Slant height, l= 90 feet
  • Base, b= 115 feet

Lateral Surface Area of square pyramid is,

LSA= \frac{1}{2} * p * l

Where p= perimeter of base

            l=  slant height

Perimeter of base = 4 x side

                            = 4 x 115

                            = 460 feet

Now, Lateral Surface Area of square pyramid is,

= \frac{1}{2} * 460* 90

= 460 x 45

= 20700 ft^{2}

Hence the Lateral Surface Area of square pyramid is 20700 ft^{2}

Learn more about Lateral Surface Area of Pyramid here:

brainly.com/question/15656576

#SPJ1

5 0
2 years ago
Please answer correctly for brainliest
kiruha [24]

Answer:

5x >=45. x>= 9 is correct

7 0
3 years ago
Read 2 more answers
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