Distributive Property:
The distributive property tells us how to solve expressions in the form of a(b + c).
In this question we have to find two numbers that add up to give 105,
Now replacing 105 by 100 + 5, rewriting the expression as :
distributing 327 over 100 and 5
here a=327, b =100 and c=5
Answer:
Answer: p-value of the test = 0.167
Step-by-step explanation:
Given that,
sample size n = 400
sample success X = 80
confidence = 95%
significance level = 1 - (95/100) = 0.05
This is the left tailed test .
The null and alternative hypothesis is
H₀ : p = 0.22
Hₐ : p < 0.22
P = x/n = 80/400 = 0.2
Standard deviation of proportion α = √{ (p ( 1 - p ) / n }
α = √ { ( 0.22 ( 1 - 0.22 ) / 400 }
α = √ { 0.1716 / 400 }
α = √0.000429
α = 0.0207
Test statistic
z = (p - p₀) / α
z = ( 0.2 - 0.22 ) / 0.0207
z = - 0.02 / 0.0207
z = - 0.9661
fail to reject null hypothesis.
P-value Approach
P-value = 0.167
As P-value >= 0.05, fail to reject null hypothesis.
Since test is left tailed so p-value of the test is 0.167. Since p-value is greater than 0.05 so we fail to reject the null hypothesis.
Answer: <u>Multiplying</u> and <u>Dividing</u> are inverse operations
Multiplying by a number is the same as <u>dividing</u> by its <u>reciprocal </u>
<u />
Step-by-step explanation:
Answer:
Step-by-step explanation:
given curve y= x^2-4x+3
differentiate wrt x to get gradient,
dy/dx = 2x-4
2a-4= -1
a= 3/2
1. Postulates.
Postulates are some logical statements. They don't need proof. They are considered to be universal truth and they build the base of the proof of different theorems and formulae.
2. 33 units
AD is the sum of AB, BC and CD. It will be more clear from the photo attached above.
