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Inessa05 [86]
3 years ago
11

Find 2 consecutive odd integers such that 3 times the larger is 29 more than 3 times the smaller

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

x,\ x+2-two\ consecutive odd integers\\\\3(x+2)=3x+29\\\\3x+6=3x+29\ \ \ |-3x\\\\6=29\ \ \ FALSE\\\\Answer:\ \text{such numbers do not exist}

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The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
4 years ago
two comets orbit the Sun. One comet travels 30,000 miles per hour and the other comet travels 28,500 miles per hour. What is the
GenaCL600 [577]

The difference of the distances traveled by the comets for any given number of minutes is 25t.

Since the first comet travels at a speed of 30,000 miles per hour, the distance it travels in t minutes is d = 30000 mph × 1 h/60 min × t = 500t miles.

Also, the second comet travels at a speed of 28,500 miles per hour, the distance it travels in t minutes is d' = 28,500 mph × 1 h/60 min × t = 475t miles.

So, the difference in the distances traveled by the comets D = d - d'

= 500t - 475t

= 25t

So, the difference of the distances traveled by the comets for any given number of minutes is 25t.

Learn more about distance traveled by comets here:

brainly.com/question/11458136

7 0
3 years ago
Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the num
pochemuha

Answer:

Its A

Step-by-step explanation:

4 0
3 years ago
Which graphs of functions decrease over part of the domain and increase over the rest of the​ domain? On what open intervals do
Kipish [7]

Answer:

we can identify the period over which the graph is changing in specific way.

we say that function is increasing over an interval if the input values of functions increases within the interval. similarly function is decreasing if its input values decrease within the interval.

5 0
3 years ago
How does logical operator work- explain the differences between A AND B and A OR B? (6 pts)
mixas84 [53]

Answer with Step-by-step explanation:

We are given two input A and B

A AND B=A\cdot B

If A=0 and B=0 then A\cdot B=0

If A=0 and B=1 then A\cdot B=0

If A =1 and B=0 then A\cdot B=0

If A=1 and B=1 then A\cdot B=1

A OR B=A+B

If A=0 and B=0 then A+B=0+0=0

If A=0 and B=1 then A+B=0+1=1

If A =1 and B=0 then A+B=1+0=1

If A=1 and B=1 then A+B=1+1=1

If A=0 and B=1 or A=1 and B=0 then A AND B=0 but A OR B=1

This is the main difference A AND B and A OR B.

6 0
3 years ago
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