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makvit [3.9K]
3 years ago
14

What is the solution to the following system?

Mathematics
2 answers:
babunello [35]3 years ago
6 0
The solution to the system is (2, 1, 0).
Anit [1.1K]3 years ago
4 0

Answer:

The solution to the system is (2, 1, 0).

Step-by-step explanation:

You might be interested in
Find an equation for the inverse of the following relation.<br><br> y=12x-3
vovikov84 [41]
<h3>Answer:</h3>

<em>Your answer would be y=x+3/12</em>

<h3>Step-by-step explanation:</h3>

Firstly, you'll switch sides of the equation.

<em>y=12x+3 ---> x=12y-3</em>

Next, add 3 to both sides.

<em>x=12y-3 ---> 12y-3+3=x+3</em>

Simplify it.

<em>12y-3+3=x+3 ---> 12y=x+3</em>

Then, divide both sides by 12.

<em>12y=x+3 ---> 12y/12 = x/12 + 3/12</em>

Simplify once more.

12y/12 = x/12 + 3/12 --- y= x+3/12

<u>y=x+3/12 would be your answer.</u>

6 0
3 years ago
your trying to save up for a trip to hawaii. Your trying to budget for a hotel, and you found a really nice one for 1,200. And t
stepladder [879]

Answer:

4800 good luck

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Dan earns $8.25 an hour and works 20 hours a week. How much will he earn in three weeks?
maksim [4K]
Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.
Dan will earn $495 in three weeks.
5 0
4 years ago
Super Bowl XLVI was played between the New York Giants and the New England Patriots in Indianapolis. Due to a decade-long rivalr
Diano4ka-milaya [45]

Answer:

Probability that from a sample of 200 Indianapolis residents, fewer than 170 were rooting for the Giants in Super Bowl XLVI is 0.02385.

Step-by-step explanation:

We are given that Due to a decade-long rivalry between the Patriots and the city's own team, the Colts, most Indianapolis residents were rooting heartily for the Giants. Suppose that 90% of Indianapolis residents wanted the Giants to beat the Patriots.

Let p = % of Indianapolis residents wanted the Giants to beat the Patriots = 90%

The z-score probability distribution for proportion is given by;

                   Z = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where,  \hat p = % of Indianapolis residents who were rooting for the Giants in Super Bowl XLVI in a sample of 200 residents = \frac{170}{200} = 0.85

           n = sample of residents = 200

So, probability that from a sample of 200 Indianapolis residents, fewer than 170 were rooting for the Giants in Super Bowl XLVI is given by = P(\hat p < 0.85)

     P(\hat p < 0.85) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.85-0.90}{\sqrt{\frac{0.85(1-0.85)}{200} } } ) = P(Z < -1.98) = 1 - P(Z \leq 1.98)

                                                                   = 1 - 0.97615 = 0.02385

<em>The above probability is calculated using z table by looking at value of x = 01.98 in the z table which have an area of 0.97615.</em>

<em />

Therefore, probability that fewer than 170 were rooting for the Giants in Super Bowl XLVI is 0.02385.

7 0
3 years ago
Pyramid P is similar to pyramid Q. The volume of pyramid P is 980 c m cubed, and the volume of pyramid Q is 3307.5 c m cubed. Wh
jeka57 [31]

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

The volume of the original prism is V_P=980cm^3

The volume of the dilated prism is V_Q=3307.5cm^3

Let the scale factor be k.

To find the volume of the dilated prism, we multiplied by k^3.

\Rightarrow 980k^3=3307.5

\Rightarrow k^3=\frac{3307.5}{980}

\Rightarrow k^3=\frac{27}{8}

\Rightarrow k=\sqrt[3]{\frac{27}{8}}

\Rightarrow k=\frac{3}{2}

8 0
3 years ago
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