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yan [13]
2 years ago
7

S

Mathematics
1 answer:
Novay_Z [31]2 years ago
8 0

Step-by-step explanation:

s is inversely proportional to t

If s= 0.6 , t= 4

s=k/t

0.6= k/4

k=2.4

If s=12, then

t=k/s

t=2.4/12

t=0.05

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4 0
3 years ago
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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
Simply sixteen squared divided by four cubed
FinnZ [79.3K]
You mean "Simplify 16²÷4³?"
16²=16*16,  16= 4*4
4³=4*4*4
so:
Simplify: <u>16²</u>  = <u>16*16</u> =  <u>4*4*4*4</u> = <u>4</u> = 4
               4³  =  4*4*4 =    4*4*4     1
OR
256 ÷ 64 = 4
6 0
3 years ago
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I NEED HELP!!!
zepelin [54]
In order to answer this one, it's really really really really helpful if you know what the law of cosines says. In fact it's absolutely necessary. The law of cosines says if you know two sides of a triangle and the angle between them then you can use that information to find the length of the third side. In the picture you know the lengths of two sides and you know the angle between them. So you can use the law of cosines to find the length of the third sidethat. That's side AC.
6 0
3 years ago
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Which function is linear?
gulaghasi [49]

Answer:

4

Step-by-step explanation:

5-1=4

4 0
3 years ago
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