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Bess [88]
3 years ago
12

Find slope through (3,16) and (8,18)

Mathematics
1 answer:
MissTica3 years ago
6 0
2/5 is the answer hope this helped
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Monica bought a package of 434 party favors to give to the guests at her birthday party. She calculated that she could give 9 pa
nydimaria [60]

Answer:

so meh answer is

Step-by-step explanation:

4 0
3 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of
QveST [7]

Answer:

7.35 years

Step-by-step explanation:

Given that :

mean = 8.4

standard deviation = 0.6

From the negative z tables, the corresponding data for 0.04 = -1.75

So, using the z-score formula:

z = \dfrac{x  - \mu}{\sigma}

-1.75 = \dfrac{x - 8.4}{0.6}

-1.75 × 0.6  = x - 8.4

- 1.05 = x - 8.4

x = -1.05 + 8.4

x =  7.35 years

the shortest lifespan will last less than 7.35 years

∴ the longest 4% will have lifespans longer than x = 8.4 + 1.75(0.6)

= 9.45 years

3 0
3 years ago
For the given maximization​ problem, (a) determine the number of slack variables​ needed, (b) name​ them, and​ (c) use slack var
sergij07 [2.7K]

Answer:

a) 2

b) s₁    and   s₂

c)  First linear equation:     5*x₁  +  8*x₂ + 10*x₃ + s₁  = 173

   Second linear equation:   5*x₁  + 4*x₂  + 17*x₃  + s₂  = 254

Step-by-step explanation:

The problem statement, establishes two constraints, each one of them will need a slack variable to become a linear equation, so the answer for question

a) 2.

b)  The constraints are: s₁  and  s₂

c) First constraint

5*x₁  +  8*x₂ + 10*x₃ ≤ 173

We add slack variable  s₁   and the inequality becomes

5*x₁  +  8*x₂ + 10*x₃ + s₁  = 173

The second constraint is:

5*x₁  + 4*x₂  + 17*x₃ ≤ 254

We add slack variable  s₂   and the inequality becomes

5*x₁  + 4*x₂  + 17*x₃  + s₂  = 254

7 0
3 years ago
Read 2 more answers
Could someone help me? Plz
arsen [322]
4, yes, 1 
5, no?, 0
6, yes, 6
4 0
3 years ago
If your good with set theory, i need help with the first four questions!
Nat2105 [25]

1. D: The overlap of the two sets represents the intersection, which is the set of elements common to both sets <em>M</em> and <em>C</em>. In this case, it's the set {4, 5, 6}.

2. D: <em>P</em> is the set of the first 100 multiples of 8 (8*1 = 8, 8*2 = 16, and so on)

3. C: <em>n</em>(<em>A</em>) represents the number of elements in the set <em>A</em>. When

n(A\cup B)=n(A)+n(B)

that means the sets <em>A</em> and <em>B</em> are disjoint, represented by the two circles with no overlap.

4. E:

A\cup B is the set of elements belonging to either set <em>A</em> or <em>B</em>. The three elements of <em>A</em> are all in <em>B</em>, so <em>A</em> is a subset of <em>B</em>. This means A\cup B=B.

Because <em>A</em> is a subset of <em>B</em>, we have A\cap B=A.

(A\cup B)' is the complement of A\cup B, which refers to the set of elements *not* belong to A\cup B. These are all the numbers in <em>U</em> that are not in this union, which would be (A\cup B)'=\{3,13\}.

Because we know A\cup B=B, we have (A\cup B)'=B'.

7 0
3 years ago
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