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Alex_Xolod [135]
3 years ago
8

Which values are solutions to the inequality? ​ ​2r≤3r−8​ ​ Select each correct answer. 6 7 8 9

Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer:

The correct answers are 8 and 9.

Step-by-step explanation:

To solve an inequality you have to solve it like an equality, but when you obtain the solution you don´t have only one value but a set of values that fit into the solution, in this case, the solution to the inequality is:

2r\leq 3r-8\\2r+8\leq3r\\8\leq3r-2r\\8\leq r

The set of values found for the solution of this inequality indicates that r takes values greater than or equal to 8.

Therefore the correct answers are 8 and 9.

dezoksy [38]3 years ago
7 0

Answer:

8

Step-by-step explanation:

symbolab

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I think it’s (-3, -1)
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2 years ago
The perimeter of the isosceles ?ABC with the base BC is equal to 40 cm. Perimeter of the equilateral ?BCD is 45 cm. Find AB and
Juliette [100K]

Answer: AB = 12.5, BC = 15

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

Perimeter of ΔBCD = BC + CD + BD. Since it is an isoceles triangle, then BC = CD = BD. So, Perimeter of ΔBCD = 3BC

3BC = 45

<u>÷3   </u>    <u>÷3 </u>

 BC = 15

Perimeter of ΔABC = AB + BC + AC.  Since it is an isosceles triangle with BC as the base, then AB = AC. So, Perimeter of ΔABC = 2AB + BC

2AB + BC = 40

2AB + 15 = 40

<u>          -15</u>  <u> -15 </u>

2AB       = 25

<u>÷2         </u>   <u>÷2  </u>

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7 0
3 years ago
Combine the like terms to make a similar expression 2q+2+9
Ede4ka [16]
Add the 2 and 9 together:
2q+11
8 0
3 years ago
g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

= 0.9586

8 0
2 years ago
How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ?
castortr0y [4]
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5 0
3 years ago
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