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ycow [4]
4 years ago
11

-9.3x+8.6y=45.1 7.1x+1.7y=-17.9 What is x and y?

Mathematics
1 answer:
Veseljchak [2.6K]4 years ago
3 0

Answer:

  (x, y) = (-3, 2)

Step-by-step explanation:

For equations that involve tedious math, I like to let a graphing calculator do it. The solution is ...

  (x, y) = (-3, 2)

_____

Fully equivalent to solution by elimination is the use of Cramer's rule. It tells you ...

  Δ = (-9.3)(1.7) -(7.1)(8.6) = -76.87

  x = ((45.1)(1.7) -(-17.9)(8.6)) / Δ = 230.61/-76.87 = -3

  y = ((-9.3)(-17.9) -(7.1)(45.1)) / Δ = -153.74/-76.87 = 2

The solution is (x, y) = (-3, 2).

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Each week, Phyllis earns $20 per hour. Which graph expresses the relationship
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Well, the answer to this question is the first option. The reason for this is because we can see that for every hour, Phyllis is earning and getting $20.00 whereas the other graphs are not showing this relationship.
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3 years ago
The distance between Miami and Naples is 107 miles the distance between Miami and Jacksonville is about three times the distance
Korolek [52]
No. The biggest estimate you could make would be
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8 0
4 years ago
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jon
olga_2 [115]

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. 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.

These names account for 9.6% of all U.S. residents.

This means that p = 0.096

8 authors in total.

This means that n = 8

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is P(X = 0). So

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

P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

3 0
3 years ago
I need some help with this question.
zysi [14]

The scale factor will be 1.5. The corresponding angles are congruent because the size is changed not the angles.

<h3>What is dilation?</h3>

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Adnan wants a larger garden.

He draws the triangle ΔPQR to show his original garden.

He wants to enlarge a garden, so he uses a dilation to form the image of the triangle ΔPQ'R'.

He uses vertex P as the center of the dilation.

The ratio of the corresponding sides will be given as

PQ'/PQ = Q'R'/QR = R'P/RP = 1.5

The scale factor will be 1.5.

The corresponding angles are congruent because the size is changed not the angles.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ1

7 0
2 years ago
A merry go round revolves 2 times per minute, jack is 10 feet from the center while bob is 14 feet from the center
Nesterboy [21]

Answer:

Jack's linear speed is 126ft/min

Bob's linear speed is 176ft/min

Step-by-step explanation:

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5 0
3 years ago
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