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Illusion [34]
3 years ago
7

Given that 110ₓ = 40₅ , find the value of x.

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

110ₓ = 40₅    --------- change all to base ten.

<u>the system called binary</u>

1x²+1x ¹+0x⁰ = 45¹+0*5⁰

x² + x + 0 = 20

x² + x – 20 = 0

solve x using Quadratic equation

        -1 ± \sqrt{1^2 - 4* 1 (-20)}

x =  ------------------------------------

                        2 * 1

x = -5;  x = 4

therefore, x = 4

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You want to test your newly created Web site, so you have 250 people access it from random locations at random times. Of the peo
Arte-miy333 [17]

Answer: 505

Step-by-step explanation:

The formula to find the sample size n , if the prior estimate of the population proportion (p) is known:

n= p(1-p)(\dfrac{z}{E})^2 , where E=  margin of error and z = Critical z-value.

Let p be the population proportion of crashes.

Prior sample size = 250

No. of people experience computer crashes = 75

Prior proportion  of crashes p=\dfrac{75}{250}=0.3

E= 0.04

From z-table , the z-value corresponding to 95% confidence interval = z=1.96

Required sample size will be :

n=0.3(1-0.3)(\dfrac{1.96}{0.04})^2 (Substitute all the values in the above formula)

n= (0.21)(49)^2= 0.21\times2401

n= 504.21\approx505   (Rounded to the next integer.)

∴ Required sample size = 505

6 0
3 years ago
(X+5)(x-3) Find the product
Allisa [31]

Answer:

(x-3) (x+5) => x*x+5x-3x-15

=> x*x+2x-15

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
HELP.... square root of y5
dmitriy555 [2]
Sqrt (y^4 * y)
Sqrt y*4 = y^2
y^2 sqrt y
4 0
3 years ago
The answer to this problem?
LenaWriter [7]

The simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

<h3>How to simplify the expression?</h3>

The expression is given as:

\sqrt{\frac{162x^9}{2x^{27}}}

Divide 162 and 2 by 2

\sqrt{\frac{81x^9}{x^{27}}}

Take the square root of 81

9\sqrt{\frac{x^9}{x^{27}}}

Apply the quotient rule of indices

9\sqrt{\frac{1}{x^{27-9}}}

Evaluate the difference

9\sqrt{\frac{1}{x^{18}}}

Take the square root of x^18

\frac{9}{x^9}

Hence, the simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

Read more about expressions at:

brainly.com/question/723406

#SPJ1

5 0
2 years ago
Find the length of the rectangle side
34kurt
Consider the offered option:
if suppose, that unknown side is '?', then
2*(3x-3)+2*'?'=10x+6;
6x-6+2*'?'=10x+6;
2*'?'=4x+12;
'?'=2x+6
Answer: 2x+6
5 0
3 years ago
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