Sum of exterior angle of a polygon is 360
90 + 10x + 5x + 45 = 360
135 + 15x = 360
15x = 360 - 135 = 225
x = 225/15 = 15
Largest exterior angles = 10x = 10(15) = 150 degrees.
1. (x - 9) + (x + 5)
You split the x^2 into two xs
The one with an x (-4x) is what the two numbers should equal
-9 + 5 = 4
The one without an x (-45) is what the two numbers product should be
-9 times 5 = -45
*so remember the x is the sum of the two
*no x is the product of the two
Theres no quick trick to find the answer u just have to plug it in
*start with all the numbers that multiply for the no x (-45)
-3 and 15 or 3 and -15 is obviously not it as the sum does not equal -4
Those sums equal 12 or -12
I’ll do one more and ur on ur own comrade (ok and ill do number 4)
3. (x - 8) + (x - 9)
ok this time both the answers have a negative
*if it has only one negative in the problem there are going to be TWO negatives in the answer
-8 and -9 sum is -17
-8 and -9 sum is 72
If there was only one negative in the answer it would make the 72 negative and there is no -72 in the problem
So this one is
(x - 8) + (x - 9) (u dont have to have it like this u can put the (x - 9) in the front doesn’t matter which way it’s just the signs (- & +) that matter
OK now 4.
4. This one is very easy as all u need to do is find the two numbers for the product
(X - 6) (X + 6)
(Again it doesn’t matter which () is in front just the SIGNS INSIDE THE PARENTHESES ( + & - )
GL
Answer:
[0.875;0.925]
Step-by-step explanation:
Hello!
You have a random sample of n= 400 from a binomial population with x= 358 success.
Your variable is distributed X~Bi(n;ρ)
Since the sample is large enough you can apply the Central Limit Teorem and approximate the distribution of the sample proportion to normal
^ρ≈N(ρ;(ρ(1-ρ))/n)
And the standarization is
Z= ^ρ-ρ ≈N(0;1)
√(ρ(1-ρ)/n)
The formula to estimate the population proportion with a Confidence Interval is
[^ρ ±
*√(^ρ(1-^ρ)/n)]
The sample proportion is calculated with the following formula:
^ρ= x/n = 358/400 = 0.895 ≅ 0.90
And the Z-value is
≅ 1.65
[0.90 ± 1.65 * √((0.90*0.10)/400)]
[0.875;0.925]
I hope you have a SUPER day!