Answer:
55 degrees
Step-by-step explanation:
Complementary angles are two angles that equal 90 degrees together so if one angle is 35 degrees then the other must be able to add towards that to make 90 degrees
90=35+∠2
-35 -35
55=∠2
One way of doing it is by using the properties of summing things, like factoring out the minus sign:
<span><span>∑<span>n=2</span>8</span><span>−(n−5)</span>=−<span>∑<span>n=2</span>8</span><span>(n−5)
</span></span>
and splitting it up into two parts and again factor
<span>=−<span>(<span><span>∑<span>n=2</span>8</span><span>n−5<span>∑<span>n=2</span>8</span>1</span></span>)
</span></span>
The last sum is just counting how many numbers there are from 2 to 8, which is 7 (you can do it on your fingers). The first one can be calculated fast if we are clever and use this identity:
<span><span>∑<span>n=1</span>m</span>n=<span><span>m(m+1)</span>2
</span></span>
So what we get is
<span><span>=−<span>(<span>−1+<span><span>8(8+1)</span>2</span>−7</span>)</span>=8−72/2=8−36=−28.</span></span>
Hey! I don’t know if this is what you mean.. but I tried to understand it.
78^1
73^1
Have a good day :)
Answer:
x = 1.75y + 0.25z
Step-by-step explanation:
Simplifying
4x + -7y = z
Solving
4x + -7y = z
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
4x + -7y + 7y = 7y + z
Combine like terms: -7y + 7y = 0
4x + 0 = 7y + z
4x = 7y + z
Divide each side by '4'.
x = 1.75y + 0.25z
Simplifying
x = 1.75y + 0.25z
Answer:
the mean and standard deviation is 2300 and 100 respectively
Step-by-step explanation:
Given that
Mean = 2300
Standard deviation = 500
let us assume the x be the mean of living space
And, the sample is of 25 homes
We need to find out the mean and the standard deviation
So here mean = 2300
And, the standard deviation
= 500 ÷√25
= 500 ÷ 5
= 100
hence, the mean and standard deviation is 2300 and 100 respectively
