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Trava [24]
3 years ago
11

3000 mm is greater or less than or equal to 2 km

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

1 km = 1,000 m

1 m = 1,000 mm

therefore

1 km = 1,000 m = 1,000 · 1,000 mm = 1,000,000 mm

2 km = 2,000,000 mm > 3,000 mm

Answer: 3,000 mm is less than 2 km.

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What are the solutions to the equation 3x^2 + 15x = 18. Show your work.
balandron [24]

Assignment: \bold{Solve \ Equation: \ 3x^2+15x=18}

<><><><><><><>

Answer: \boxed{\bold{x=1,\:x=-6}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Subtract 18 From Both Sides

\bold{3x^2+15x-18=18-18}

[ Step Two ] Simplify

\bold{3x^2+15x-18=0}

[ Step Three ] Solve With Quadratic Formula

Note: \bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}

\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}

\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}

<><><><><><><>

\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}

\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}

[ Step Four ] Combine Solutions

\bold{x=1,\:x=-6}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

5 0
3 years ago
Read 2 more answers
A certain virus infects one in every 200 people. a test used to detect the virus in a person is positive 70​% of the time when t
V125BC [204]

We're told that

P(A)=\dfrac1{200}=0.005\implies P(A^C)=0.995

P(B\mid A)=0.7

P(B\mid A^C)=0.05

a. We want to find P(A\mid B). By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}

By the law of total probability,

P(B)=P(B\cap A)+P(B\cap A^C)=P(B\mid A)P(A)+P(B\mid A^C)P(A^C)

Then

P(A\mid B)=\dfrac{P(B\mid A)P(A)}{P(B\mid A)P(A)+P(B\mid A^C)P(A^C)}\approx0.0657

(the first equality is Bayes' theorem)

b. We want to find P(A^C\mid B^C).

P(A^C\mid B^C)=\dfrac{P(A^C\cap B^C)}{P(B^C)}=\dfrac{P(B^C\mid A^C)P(A^C)}{1-P(B)}\approx0.9984

since P(B^C\mid A^C)=1-P(B\mid A^C).

4 0
3 years ago
Evaluate if a = 6. <br> a + a2 = what
Lorico [155]
42 :6 to the second power is 36 plus 6 is 42
7 0
3 years ago
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What is the answer to 9x8 2/3
Ira Lisetskai [31]
The answer is 78. This is because you change 8 2/3 into a improper fraction which is 26/3. Then do 26/3×9/1. You should cross cancel so cancel out 3 and change it into 1 and change 9 into 3. So now your problem is 26×3=78.
~JZ
Hope it helps.
7 0
4 years ago
Read 2 more answers
Please help me on this!
yanalaym [24]

Answer:

{9}^{ - 8}

Step-by-step explanation:

\frac{ {9}^{ - 5} }{ {9}^{3} }

{9}^{ - 5 - (3)}

{9}^{ - 5 +  (- 3)}

{9}^{  - 8}

6 0
4 years ago
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