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2 years ago

Does (-1, 5) make the inequality y < 3x + 8 true?

Mathematics

2 answers:

Kobotan [32]2 years ago

7 0

Answer:

(–1, 5) does NOT make y < 3x + 8 true.

Step-by-step explanation:

First, let's substitute the values into the inequality. It's the one way to see if the point (–1, 5) is in the range of y < 3x + 8

5 ≟ 3(–1) + 8

5 ≟ 8 – 3

5 = 5 ✘

This means (–1, 5) does NOT make the inequality y < 3x + 8 true.

ioda2 years ago

3 0

Answer:

Step-by-step explanation:

as X=-1. and y=5

according to this y<3x+8

which means 5< 3*-1 +8

5<-3+8

5<5

which is not true.. as 5=5

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Ingrid has $28 to buy oil paints for her painting class. Each tube of paint

AnnyKZ [126]

Answer:

28/8=3.5...so probably just 3

Step-by-step explanation:

5 0

3 years ago

The probability that a lab specimen contains high levels of contamination is 0.10. A group of 4 independent samples are checked.

galben [10]

Answer:

a) 0.6561

b) 0.2916

c) 0.3439

Step-by-step explanation:

We are given the following information:

Let us treat high level of contamination as our success.

p = P(High level of contamination) = P(success) = 0.10

n = 4

The, by binomial distribution:

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}\\\text{where x is the number of success}$

a) P(No high level of contamination)

We put x = 0, in the formula.

$P(X=0) = \binom{4}{0}.(0.10)^0.(1-0.10)^{4} =0.6561$

Probability that no lab specimen contain high level of contamination is 0.6561

b) P(Exactly one high level of contamination)

We put x = 1, in the formula.

$P(X=1) = \binom{4}{1}.(0.10)^1.(1-0.10)^{3} =0.2916$

Probability that no lab specimen contain high level of contamination is 0.6561

c) P(At least one contains high level of contamination)

$p(x \geq 1) = 1 - p( x = 0) = 1 - 0.6561 = 0.3439$

Probability that at least 1 lab specimen contain high level of contamination is 0.3439

8 0

2 years ago

Which of the sets of ordered pairs represents a function?

Marrrta [24]

Answer:

Set A

Step-by-step explanation:

By definition "a function may NOT have two y-values assigned to the same x-value, [but] it may have two x-values assigned to the same y-value."(https://mathbitsnotebook.com/Algebra1/Functions/FNFuncBasics.html)

Set A has follows this set of rules while Set B does not. Also if we graph it, Set B does not pass the vertical line test. (Learn about the vertical line test in the link below).

http://www.coolmath.com/algebra/15-functions/03-vertical-line-test-01

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3 years ago

James is working out and has decided that for every 10 sit-ups he does, he needs to do 4 push-ups. If he does 120 sit-ups, how m

mario62 [17]

Answer:

480 is the answer

Step-by-step explanation:

120x4 is 480

4 0

2 years ago

Describe the dimensions of two different prisms that each have a volume is 2,400 cubic centimeters

Phantasy [73]

One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120.

V = l x w x h
V = 4 x 5 x 120
V = 2400

This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.

Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30.

V = l x w x h
V= 8 x 10 x 30
V = 2400

This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.

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2 years ago