All categories

3 years ago

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:

Step-by-step explanation:

symbolab

You might be interested in

Please help!!!! I will mark brainlest

ipn [44]

I think it’s (-3, -1)

8 0

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

Step-by-step explanation:

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

3BC = 45

÷3 ÷3

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

-15 -15

2AB = 25

÷2 ÷2

AB = 12.5

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]

Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = 334

5 0

3 years ago

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

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