Answer: 22 and 55
Step-by-step explanation:
Answer:
Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:
Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:
Hence, the smallest desired sample size is 23
Have a nice day, be safe and healthy :)
Hope this helped
<u>formula: </u>
(a+b)^2
= a^2+2ab+b^2
Here, we have x^2 (as in a^2)
and -6x (as in 2ab), which, we're missing the b^2
(I'm not really sure how to describe this but bare with me)
-6/2 (-6 is from the -6x) = -3 (the b)
-3^2 = -3*-3 which is equal to 9 (positive 9)
Writing it out -
x^2-6x+9 = -5
- Addition of inequality -
Since we add 9 to the left side, we have to add 9 to the right side; which gives us:
x^2-6x+9=4
Next, lets put the x^2-6x+9 as in (a+b)^2:
(x-3)^2 = 4
<em>Then let's do the square root of equality (square rooting both sides) :</em>
<u>x-3 = 2</u>
<em>Finally lets add 3 to both sides</em>
<u>x = 5</u>
THE ANSWER IS <u><em>x=5</em></u>
<u><em></em></u>
Have a nice day, be safe + healthy - Hope this helped
Using the Pythagorean theorem a^2 +b^2 = c^2, where a and b are the sides of a triangle and c is the hypotenuse.
BA and AC are sides and BC is the hypotenuse.
we have 23^2 + b^2 = 45^2
529 + b^2 = 2025
b^2 = 2025 - 529
b^2 = 1496
b = sqrt(1496)
b = 38.68 = 38.7
The length of AC = 38.7
Answer:
6a) 1
6b) 11
7a) 4
7b) 10
8a) 6
8b) 14
9a) 11
9b) 13
Step-by-step explanation:
In order to make a triangle, we need to follow this property:
a <= b + c
(Known as "triangle inequality")
Where 'a' is the bigger side and 'b' and 'c' are the other two sides.
So, using this property, we can solve the following problems:
6a) Maximum side will be 6:
6 <= 5 + c
c = 1
6b) Minimum sides will be 5 and 6:
a <= 5 + 6
a = 11
7a) Maximum side will be 7:
7 <= 3 + c
c = 4
7b) Minimum sides will be 3 and 7:
a <= 3 + 7
a = 10
8a) Maximum side will be 10:
10 <= 4 + c
c = 6
8b) Minimum sides will be 4 and 10:
a <= 4 + 10
a = 14
9a) Maximum side will be 12:
12 <= 1 + c
c = 11
9b) Minimum sides will be 1 and 12:
a <= 1 + 12
a = 13
