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Murrr4er [49]
3 years ago
13

X(x+1)(x+2)(x+3)=24

Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer:1(1+1)(1+2)(1+3)

Step-by-step explanation:

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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
3 years ago
PLEASE ANSWER THE QUESTIONS ASAP
wariber [46]
Not sure about the first one, The second one is 1/9.

4 0
3 years ago
two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
Lana71 [14]

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

a+5(-4) = 40

a-20 = 40

a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

7 0
3 years ago
Tyler took out a loan at a 14.7% APR, compounded monthly, to buy a boat,
Zanzabum

Answer:

14.4%, compounded monthly

Step-by-step explanation:

APEX

7 0
3 years ago
Read 2 more answers
Gretchen earns extra money mowing lawns on the weekend. She mows 3 lawns per hour and earns $12.00 per lawn. How much does Gretc
stepladder [879]

Gretchen will earn $48 from mowing in 4 hours

Data

  • Amount earned on each lawn = $12
  • Number of hours mowing = 4 hours

<h3>What is Rate</h3>

This is the measure of one unit against another unit. An example of this is speed which is the rate of distance covered to time.

In this case, she mows 1 lawn in each hour and earns $12 on each.

To calculate for 4 hours

4*12=$48

She earns $48 from mowing 4 lawns

learn more on rates here;

brainly.com/question/8728504

4 0
2 years ago
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