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2 years ago

How can you construct a Venn diagram comparing the numbers 1 through 100 in these 4 areas: odd, even, composite and prime?

Mathematics

1 answer:

Misha Larkins [42]2 years ago

6 0

I am not sure but, give me a minute

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lubasha [3.4K]

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3 years ago

Read 2 more answers

Use set builder notation to represent the following set. {... -3, -2, -1, 0} {x | x Z, x ≤ 0} {x | x N, x ≤ 0} {x | x R, x ≤ 0}

IceJOKER [234]

Answer:

$\boxed{\boxed{\left\{x\ |\ x\ \epsilon\ Z,\ x \le 0}\right\}}}$

Step-by-step explanation:

Set builder notation-

It is a notation for representing a set by enumerating its elements and stating the properties that its members must satisfy.

The given set is,

$\left \{.... -3, -2, -1, 0 \right \}$

This set is comprised of all negative integers. So symbol Z should be used in this case.

The set builder notation for this set is,

$\left\{x\ |\ x\ \epsilon\ Z,\ x \le 0}\right\}$

7 0

3 years ago

Find the graph of y=-3/4X-2

morpeh [17]

To graph the line $y=- \frac{3}{4}x-2$ we are going to take advantage of the fact that its y-intercept is -2 when x=0, so our first point is (0,-2). To find our second point, we are going to find the x-intercept; to do it, we are going to set y=0 and solve for x:
$y=- \frac{3}{4}x-2$
$0=- \frac{3}{4}x-2$
$2=- \frac{3}{4}x$
$x= \frac{2}{- \frac{3}{4} }$
$x=- \frac{8}{3}$
Now that we have our second point $(0,- \frac{8}{3} )$ , we just need to join our two points with a straight line.

We can conclude that the graph of <span>y=-3/4X-2 is:</span>

3 0

3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

DerKrebs [107]

Answer:

a) The probability that this whole shipment will be accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

$P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007$

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2 years ago

three brothers and a sister shared a sum of money equally among themselves. if the brothers alone had shared the money, then the

Virty [35]

Answer:

1. t=240

2.t/3=(t/4)+20

Step-by-step explanation:

4 0

2 years ago