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MatroZZZ [7]
3 years ago
6

A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of

packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Mathematics
2 answers:
Kruka [31]3 years ago
5 0

Answer:

It would be A, or the first graph

Step-by-step explanation:

So we’ve now created an equation

2x + 3y ≤ 6

From here, we can convert this into something easier to read

y ≤ -2/3x + 2

Now, we know that the y-intercept is 2 so either A or B

We also know the shaded area should be below the line (because the smallest part of the “≤” is facing the y).

Therefore, the answer is A

DerKrebs [107]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Just got it right on edge 2020

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Simplify the expression to a + bi form:<br> (-6 - 9i)(-11 + 7i)
jek_recluse [69]

Answer:

129+57i

Step-by-step explanation:

4 0
2 years ago
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What are the greatest numbers : 4, -8, 4, 8, 7, -3, -9, 2, 6, 1, -5, 5, -2, 0.
myrzilka [38]

Answer:

Step-by-step explanation:

I would say 8 is the greatest number

the order from least to greatest

-9,-8,-5,-3,-2,0,1,2,4,4,5,6,7,8

7 0
3 years ago
List the factors of 24.
Sergio [31]

Answer:

Therefore , the factors of 24 are = 1,2,3,4,6,12 and 24

Step-by-step explanation:

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3 years ago
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6. Assume that a component passes a test is 0.85 and that components perform independently. What is the probability that the thi
Tanzania [10]

Answer:

3.90% probability that the third failure will occur on the tenth component tested

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not fail. Components perform independently. 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.

Assume that a component passes a test is 0.85

So they fail with probability of p = 1 - 0.85 = 0.15

What is the probability that the third failure will occur on the tenth component tested

First 9 components: Two failures, that is, P(X = 2) when n = 9.

10th component: Failure with probability 0.15.

So

P = 0.15P(X = 2)

In which

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

P(X = 2) = C_{9,2}.(0.15)^{2}.(0.85)^{7} = 0.2597

So

P = 0.15P(X = 2) = 0.15*0.2597 = 0.0390

3.90% probability that the third failure will occur on the tenth component tested

5 0
3 years ago
The triangle below is equilateral. Find the length of side <br> x<br> x to the nearest tenth.
leonid [27]

Step-by-step explanation:

it's an equilateral triangle so all sides are equal

using Pythagorean theorem

2(√6) raised to the power of 2 = √6 raised to the power of 2 + x raised to the power of 2

2(√6) raised to the power of 2 is 12

√6 raised to the power of 2 is 6

therefore 12=6 + x

x = 12-6

x=6

6 0
2 years ago
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