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2 years ago

Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation

Mathematics

1 answer:

devlian [24]2 years ago

5 0

Answer:

$(-\infty,\frac{25}{24}]$

Step-by-step explanation:

Assuming $i$ is a variable:

$4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}]$

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Lines a and b are parallel. What is the measure of angle s? Enter your answer in the box. s = ∘∘ Horizontal parallel lines a and

VashaNatasha [74]

<span>s = 22 degrees

Assuming I'm interpreting your description accurately, the top right angle of line b will also be 158 degrees because it's a corresponding angle to the top right angle of line a. That means that the top left angle of line b will be a supplementary angle. And supplementary angles add up to 180. So 180 - 158 = 22.</span>

8 0

3 years ago

Read 2 more answers

The length of a rectangle is twice it’s width. If the area of the rectangle is 72ft ^2, find it’s perimeter

alisha [4.7K]

Hi!

length = l = 2 * width = 2 * w

Area = l * w = l * 2 * l = 2 * l^2

2 * l^2 = 72

l^2 = 72/2 = 36

l = square root of 36

l = 6

l = 2 * w => w = l/2 = 6/2 = 3

Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet

Hope this helps!

7 0

3 years ago

Solve the system of equations.<br> - 3x + 2y = 56<br> - 5 - 2y = 24

Oduvanchick [21]

Awnser

y=13

Step-by-step explanation:

-3x+2y=56

-5x-2y=24

so first we want to get rid of one variable, in this example we dont need to multiply because the y's cancel out

so we have

-8x=80

x=-10

now plug in x into an original equation

-3(-10)+2y=56

2y=26

y=13

hope that helps

4 0

3 years ago

Read 2 more answers

What is the answer 8s + 8 + 3st + 4s

Illusion [34]

Answer:

12s + 8 + 3st

Step-by-step explanation:

Combine like terms:

8s + 4s = 12s

3sr

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3 years ago

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth wh

nirvana33 [79]

Answer:

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that $p = 0.267$