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Basile [38]
3 years ago
5

|1|, |-4|, |-3|, |2|

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

|1| = 1

|-4| = 4

|-3| = 3

|2| = 2

Step-by-step explanation:

The absolute value function is defined by

|x|=\begin{cases}x,&x\ge0\\-x,&x

Since 1>0, we have |1| = 1.

Since -4<0, we have |-4| = -(-4) = 4.

Since -3<0, we have |-3| = -(-3) = 3.

Since 2>0, we have |2| = 2.

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What is a 4 digit number that can be divided by 5 and 9
Dahasolnce [82]
4410 is one of many numbers divisible by 5 and 9
8 0
3 years ago
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
An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice?
Vesna [10]

Answer:

10 oranges

Step-by-step explanation:

4 oranges are needed to make one cup. 2 cups is 8 oranges and 1/2 cup is 2 oranges

8 0
3 years ago
ing needs 3 cups of milk to make 30 cookies. How many ounces of milk would he need to make 120 cookies?
Llana [10]

Answer:

12 cup of milk.

Step-by-step explanation:

if 3 cups of milk can make 30 cookies it means 1 cup of milk can make 10 cookies then for 100 cookies we need 10 cup of milk and 30 more means 3 more so answer is 12

8 0
3 years ago
Everyone needs to get off of social and help us -_-
JulsSmile [24]
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16

(x^2+10x+16)(x+k)=x^3+9x^2+6x-16

x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16

kx^2+10kx+16k=-x^2-10x-16

k(x^2+10x+16)=-x^2-10x-16

k=(-x^2-10x-16)/(x^2+10x+16)

k=-1

so the width is (x-1)




7 0
3 years ago
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