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2 years ago

Which values are solutions to the inequality?

Mathematics

1 answer:

Lerok [7]2 years ago

5 0

The solution of the inequality 3r ≤ 4r - 6 is r ≥ 6.

<h3>How to solve inequality?</h3>

In Mathematics, the relationship between two values that are not equal is defined by inequalities.

An inequality have the symbol <, >, ≤ and ≥. Hence, the inequality can be solved as follows:

3r ≤ 4r - 6

subtract 4r from both sides of the inequality,

3r ≤ 4r - 6

3r - 4r ≤ 4r - 4r - 6

3r - 4r ≤ - 6

- r ≤ -6

divide both sides of the inequality by -1

Therefore, the solution is r ≥ 6

learn more on inequality here: brainly.com/question/11784045

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A study reports the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a

Musya8 [376]

Answer:

This means that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

For 95% confidence interval, it means that we are 95% confident that the mean of the population is between the given upper and lower bounds(margin of error) of the confidence interval.

For the case above, the interpretation of the 95% confidence interval is that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.

3 0

3 years ago

(x+3)^5=32<br> Please solve for x

nadezda [96]

Answer:

x = - 1

Step-by-step explanation:

$(x + 3)^{5} = 32 \\ (x + 3)^{5} = {2}^{5} \\ x + 3 = 2 \\ x = 2 - 3 \\ \huge \purple{ \boxed{x = - 1}}$

4 0

3 years ago

American kestrels live in More Mesa near your professor’s house. Suppose that there are 100 birds, of which a random sample of s

Ulleksa [173]

Answer:

P(X=3) = 0.2013

Step-by-step explanation:

After taking and tagging the first 20 birds, then we have a proportion of 20% of tagged birds within the population, that is

$p=\frac{n}{N}$

$p=\frac{20}{100}=0.20$

Supposing that the probability (0.20) of capturing a bird <em>remains constant</em>, we may resolve it as it follows:

Capturing 10 birds can be considered as a binomial experiment with a success probability p = 0.2

Let, $P(X=x)=nCx*p^{x}*(1-p)^{n-x}$ be the expression of the binomial distribution, for our case we have:

p=0.2

x = 3

n=10

Then,

$P(X=3)=10C3*0.2^{3}*0.8^{10-3}$

$P(X=x)=0.2013$

Therefore, the probability that exactly 3 of the 10 birds in the new sample were previously tagged is 20.13%

5 0

3 years ago

What is the volume of this figure?

Hunter-Best [27]

Answer:

23 blocks

Step-by-step explanation:

Count the blocks

The back wall has 3 blocks by 5 blocks which is 15 blocks

The front cubs has 4 blocks by 2 blocks = 8 blocks

Add them together = 15+8 = 23 blocks

3 0

3 years ago

How many times would a member and a non member have to rent a boat in order to pay the same amount

Yakvenalex [24]

X = number of times they rent a boat.

Members
Cost = 105 + 9.50x
Non-members because members don't have to pay the 105 so we gotta leave it out.
Cost = 14.75x

Now to determine whether the cost would be equal, we need to set the two equations equal to each other.

105 + 9.50x = 14.75x

Now solve for x

105 = 5.25x

20 = x

<span>That's your answer.</span><span> They would have to rent 20 times to equal each other. </span>

3 0

3 years ago