Factor <img src="https://tex.z-dn.net/?f=x%5E2-2x%2B3" id="TexFormula1" title="x^2-2x+3" alt="x^2-2x+3" align="absmiddle" class=

If 3 = 1/2gt^2, make t the subject of the formula<br>

Montano1993 [528]

Answer:

t = √1.5/g

Step-by-step explanation:

1/2gt^2 = 3

Divide both sides by 1/2

gt^2 = 1.5

Divide both sides by g

t^2 = 1.5/g

Square root both sides

t = √1.5/g

5 0

2 years ago

How many ways are there to choose 6 items from 10 dis- tinct items when?

NemiM [27]

Assuming the order doesn't matter it would be 10c6 = 210 ways

7 0

3 years ago

A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the

NikAS [45]

Answer:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

$\bar X=0.376$ represent the sample mean for the chloride concentration

$\mu$ population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

$df=n-1=15-1=14$

The Confidence is 0.95 or 95%, the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case with a t distribution with 14 degrees of freedom is $t_{\alpha/2}=2.145$

And the confidence interval is:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0

3 years ago

I need to find the length

Deffense [45]

Answer: I am pretty sure it is 7

Step-by-step explanation:

the smaller one is to smaller than the bigger one so you would just add two to the 5

6 0

3 years ago

Read 2 more answers

China generated 237.188 billion kilowatt-hours (kWh) of wind energy in 2018. The population in China in 2018 was 1.379 billion.

maw [93]

Answer:

172 kilowatts.

Step-by-step explanation:

Energy : 237.188 billion = 237,188,000,000 = 2.37188 × 10¹¹

People : 1.379 billion = 1,379,000,000 = 1.379 × 10⁹

Divide both values : 2.37188 ÷ 1.379 = 1.72; 10¹¹ ÷ 10⁹ = 10² ⇒ 1.72 × 10² or 172 kilowatts.

5 0

1 year ago