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3 years ago

50 POINTS! PLEASE HELP! Which graph represents the solution set of the system of inequalities?

Mathematics

2 answers:

Hitman42 [59]3 years ago

8 0

2nd one I believe… all the number are positive so it has to go to a positive side…

Alja [10]3 years ago

4 0

Step-by-step explanation:

the second one as the -2x-3 is only on the second one

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Consider two medical tests, A and B for a virus. Test A is 90% effective at recognizing the virus when it is present, but has a

Licemer1 [7]

P(V|A) is not 0.95. It is opposite:

P(A|V)=0.95

From the text we can also conclude, that

P(A|∼V)=0.1

P(B|V)=0.9

P(B|∼V)=0.05

P(V)=0.01

P(∼V)=0.99

What you need to calculate and compare is P(V|A) and P(V|B)

P(V∩A)=P(A)⋅P(V|A)⇒P(V|A)=P(V∩A)P(A)

P(V∩A) means, that Joe has a virus and it is detected, so

P(V∩A)=P(V)⋅P(A|V)=0.01⋅0.95=0.0095

P(A) is sum of two options: "Joe has virus and it is detected" and "Joe has no virus, but it was mistakenly detected", therefore:

P(A)=P(V)⋅P(A|V)+P(∼V)⋅P(A|∼V)=0.01⋅0.95+0.99⋅0.1=0.1085

7 0

3 years ago

A pair of jeans is on sale for 25% off the original price. Which expression represents the sale

scZoUnD [109]

Answer:

$30

Step-by-step explanation:

If it's 25% off, then to find the sale price we just need to subtract 25% of the original price from the original price.

Original price is 40 so we do 40 - (40 * 0.25) = 30

6 0

3 years ago

Simplify 81p6q2÷3p2q5 HELPPP

goldfiish [28.3K]

Answer:

$\displaystyle \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} = \frac{27\, p^{4}}{q^{3}}$ .

Step-by-step explanation:

Make use of the fact that for any $x \ne 0$ and integer $n$ :

$\displaystyle \frac{1}{x^{n}} = x^{-n}$ .

For example, in this question:

$\displaystyle \frac{1}{p^{2}} = p^{-2}$ .

$\displaystyle \frac{1}{q^{5}} = q^{-5}$ .

Thus, the original expression would be equivalent to:

$\begin{aligned}& \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} \\ =\; & \frac{81}{3}\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\ =\; & 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5})\end{aligned}$ .

Also make use of the fact that for any $x \ne 0$ , integer $m$ , and integer $n$ :

$x^{m}\, x^{n} = x^{m + n}$ .

Thus:

$\begin{aligned}& 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\=\; & 27\, p^{6 + (-2)}\, q^{2 + (-5)} \\ =\; & 27\, p^{4}\, q^{-3} \\ =\; & \frac{27\, p^{4}}{q^{3}}\end{aligned}$ .

3 0

2 years ago

Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots

marta [7]

Answer:

Step-by-step explanation:

A third degree polynomial has a <em>total of three roots</em>, real and imaginary combined.

If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.

4 0

3 years ago

Read 2 more answers

What Does C equal in

mina [271]

Square the entire thing which gets ride of the root so (8x+4)^2 now solve. 8x^2+4^2. 64x+16

6 0

3 years ago

Read 2 more answers