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1 year ago

A) x²-4x+3=0 prove in factorization form

Mathematics

1 answer:

Marina CMI [18]1 year ago

8 0

Answer: (x-1) (x-3)

Step-by-step explanation: x²-3x-x+3

x²-4x+3

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A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{340119}{10} = 34011.9$

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

$S.D = \sqrt{\frac{2711418821}{9}} = 17357.09$

Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

7 0

2 years ago

Use 3.14 on all questions on this text that use pi.

alexira [117]

Answer:

$V_{cylinder}=3584\pi \thinspace yd^3$

Step-by-step explanation:

Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

$V_{cylinder}=\pi r^2 h$

We're given that the radius=8 and height=56

$V_{cylinder}=\pi r^2 h$

$V_{cylinder}=\pi (8)^2 (56)$

$V_{cylinder}=3584\pi \thinspace yd^3$

6 0

2 years ago

Which is not true <br><br> 10 + 9 = 7 + 12<br> 10 = 10<br> 10 - 4 = 3 + 3<br><br> 10 = 19 - 11

Natasha2012 [34]

Answer:

10=19-11

Step-by-step explanation:

that answer is false because 19-11 = 8 not 10

3 0

2 years ago

Read 2 more answers

Multiply. Write your answer in simplest form.

Mariana [72]

Answer:

The answer in lowest terms is 15/17

Step-by-step explanation:

Hope that helps!

3 0

1 year ago

What equation is equivalent to 2^3^x =10

Tresset [83]

Answer:

$log_2(10)$

Simplify the equation using logarithms.

$2^3x=10$

$log_1_0(2^3x)=log_1_0(10)$

log rule ⇩

$log_a(x^y)=y*log_a(x)$

move exponent out of log.

$x*log_1_0(2)=log_1_0(10)$

<em>isolate variable further</em>

$x*log_1_0(2)=log_1_0(10)$

$x=\frac{log_{10}(10)}{log_{10}(2)}$

formula for combining logs. ⇩

$\frac {log_b(x)}{log_b(a)}=log_a(x)$

the result ⇩

$x=log_2(10)$

6 0

1 year ago

A) x²-4x+3=0 prove in factorization form​

A) x²-4x+3=0 prove in factorization form