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Lilit [14]
3 years ago
6

Solve for x by factoring X2-2x=35

Mathematics
2 answers:
valkas [14]3 years ago
7 0
By factoring, x equals both -5 and 7.
____ [38]3 years ago
5 0
Hey Luke65!

To solve this quadratic equation, we need to factor.  We can brake the x²-2x-35=0 into two factors:
x2-2x-35=0
(x-7)(x+5)=0 

Then we set each factor equal to zero and solve for x:
(x-7)=0                  (x+5)=0 
 x=7                        x=-5 

So the answer is x=7 and x=-5 ~Nesabug
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There are big spenders among University of Alabama football season ticket holders. This data set Roll Tide!! shows the dollar am
Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
KengaRu [80]

Answer:

Using the ratio and proportion method, we find that on an average 1.875 rooms can be painted per gallon.

Step-by-step explanation:

Concept: Use the method of ratio and proportion. Given that for 2/5 gallons of paint, we can paint 3/4 of rooms. So, for one gallon of paint, divide 2/5 by 3/4.

2/5 gallons of paint = 3/4 rooms

1 gallon of paint = \frac{\frac{3}{4} }{\frac{2}{5} } = \frac{15}{8} =1.875 rooms

So, on an average they can paint 1.875 rooms per gallon.

For more explanation, refer the following link

brainly.com/question/11243787

#SPJ10

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