Answer:
The sample size is 
Step-by-step explanation:
The population proportion is 
The margin of error is 
From the question we are told the confidence level is 90% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=> ![n = [\frac{1.645 }{0.1} ]^2 * 0.50 (1 - 0.50 )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.645%20%7D%7B0.1%7D%20%5D%5E2%20%2A%200.50%20%20%281%20-%200.50%20%29%20)
=>
Combine the k’s 17k
Combine the m’s -8m
Combine the n’s 12n
17k-8m+12n
Answer:
x = -2
Step-by-step explanation:
- 3 x - 6x = -18x
- 4 - 18x + 9 = 41
9 - 4 = 5
- 18x + 5 = 41
- 18x = 41 - 5
- 18x = 36
36 divided by -18 is -2
The answer for what the ratio is for 4% is 4:100
Answer:
Tamara incorrectly factored the whole expression.
Step-by-step explanation:
Note that
- 21x=3·7·x;
- 56xy=2·2·2·7·x·y.
Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.
Thus,
21x+56xy=7x(3+8y).
Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.
