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tigry1 [53]
2 years ago
15

If 2x+4 = (x²)²÷2 then what is x?

Mathematics
1 answer:
Leviafan [203]2 years ago
8 0

Answer:

Below.

Step-by-step explanation:

2x+4 = (x²)²÷2

2x + 4 = x^4/2

x^4 = 4x + 8

x^4 - 4x - 8 = 0

We can try trial an error to solve this

Looks like x = 2 fits it:

2^4 - 4(2) - 8

= 16 -8 -8 = 0

so x = 2 is one solution.

I can't find any other solution among other integers.

To find the other solutions you can draw a graph manually or by using software.

There will be either 1 or 3 more real solutions.

I used software to draw the graph and found one other solution:

x = -1.296

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A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months. What
ivann1987 [24]

Answer:

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.

This means that n = 250, \pi = \frac{14}{250} = 0.056

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

5 0
3 years ago
Please help me in this question
charle [14.2K]
Number defective=4
number of non-defective=total-defective
=20-4
=16
the questions asked for 1 defective
so we choose only 1 defective from 4 defective items
4C1

and for 1 non-defective
we choose only 1 non-defective from 16 non-defective items
16C1

we choose 2 items from 20 items
so 20C2

answer:
probability= [(4C1) * (16C1)] /(20C2)
=32/95

6 0
3 years ago
Noah and Andre are 15 miles apart on a bike path when they start biking toward each other . Noah rides at a constant speed of 4
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Answer:

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Step-by-step explanation:

njr3nirn3jrnmrn3kjrn3rj

rnheufenuenjebef\

kejirnrejfe

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8 0
3 years ago
Write an
Ilya [14]

Answer:

y=44x+178

Step-by-step explanation:

Refer to the picture that given

4 0
3 years ago
Six less than the product of 7 and a number equals<br> 5.
VARVARA [1.3K]

Answer:

x = 11/7 or 1.57

Step-by-step explanation:

let the number be x

now :

=》the product of 7 and the number

  • 7 × x = 7x

=》6 less than the product

  • 7x - 6

=》now, we know :

  • 7x - 6 = 5

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  • 7x = 11

  • x = 11 / 7

7 0
3 years ago
Read 2 more answers
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