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4 years ago

Determine the mean of 28,40,53,39,45

Mathematics

2 answers:

damaskus [11]4 years ago

8 0

Answer:

Step-by-step explanation:

Add the numbers together and divide by 5. 5 is the amount of numbers in the example.

Ugo [173]4 years ago

8 0

Answer: The mean of all the numbers is 41.

Step-by-step explanation:

To find the mean of a set of numbers you must first add them all together. In this case, all of the numbers added together equaled 205. Then, you divide what ever your previous number was by how many numbers are in the original set all total. In this case, there was 5. So my last step would be dividing 205 / 5 = 41. 41 is my final answer.

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Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

Is 1.7 greater than 1 7/9

Simora [160]

17 = 1 7/10

1.7 < 1 7/9

1.7 is less than 1 7/9

3 0

4 years ago

Read 2 more answers

Identify the equation that does not belong with the other three. Explain your reasoning. Y+4=2 , x+6=4, t+5=-3, 1+1m=-1

motikmotik

$y+4=2\ \ \ \ | subtract\ 4\\\\
y=-2\\\\\\
x+6=4\ \ \ \ \ | subtract\ 6\\
x=-2\\\\\\
t+5=-3\ \ \ | subtract\ 5\\
t=-8\\\\\\
1+m=-1\ \ \ | subtract\ 1\\
m=-2
$

7 0

3 years ago

What is the equation of the line that is parallel to the given

Orlov [11]

Answer:

x=2,-8

Step-by-step explanation:

4 0

3 years ago

What statement are true about this expression 2/3n +58.6

vampirchik [111]

Step-by-step explanation:

perdon no entindo

6 0

3 years ago