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3 years ago

16. The Venn diagram below represents two sets of numbers.

Mathematics

1 answer:

Andrews [41]3 years ago

8 0

<h3>Answer: D) Rational Numbers</h3>

Any rational number is in the form p/q, where p,q are integers and q is nonzero.

If we made q = 1, then p/q turns into an integer which is why the set of integers is inside the set of rational numbers.

For instance, if p = 7 and q = 1, then p/q = 7/1 = 7 is an integer and it is rational too.

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Solve for X<br><br> Please help

Nookie1986 [14]

Answer:

x = 5

Step-by-step explanation:

set JN and NL equal to each other...

14x – 17 = 3x + 38

11x = 55

x = 5

5 0

2 years ago

Industry standards suggest that 8 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter

jenyasd209 [6]

Answer:

Step-by-step explanation:

Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.

Each vehicle is independent of the other to get warranty service

Hence X is binomial with p=8% = 0.08

So P(X=x) = $9Cx (0.08)^x (1-0.08)^{9-x} ,x=0,1,2...9$

$a) P(X=0) = 0.472161\\b) P(x=1) = 0.3695$

c) $P(X=2) = 0.1285$

d) Mean = Mean of binomial = np =

$9(0.08) = 0.72$

Var (x) = npq = $0.6624$

Std dev = square root of variance = 0.8139

5 0

3 years ago

Read 2 more answers

Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl

AlladinOne [14]

What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A

4 0

3 years ago

What is the solution set to the inequality 7z+5>47

Vsevolod [243]

Answer:

$z>6$

<h2>Step-by-step explanation:</h2>

7z+5>47

Remove the 5:

$7z+5-5>47-5\\7z>42$

Divide by 7 to get z by itself:

$\frac{7z}{7} >\frac{42}{7} \\z>6$

5 0

3 years ago

How would I simplify the equation 5u^6x^2+20wx/15x^4

Akimi4 [234]

Answer:

The simplified form is $5u^6x^2+\frac{4w x^{-3}}{3}$

Step-by-step explanation:

To simplify the expression given to use, we need to reduce the given expression in its simplest form. There should not be any possibility for the further cancelling out of the division terms, if any.

Now the expression that is given to us is:

$5u^6x^2+\frac{20wx}{15x^4}\\$

Here we will simplify it, as follows:

$5u^6x^2+\frac{20wx}{15x^4}\\=5u^6x^2+\frac{4w}{3x^3}\\=5u^6x^2+\frac{4w x^{-3}}{3}$

So this is the required simplified form.

3 0

3 years ago