Answer:
Divide the 1st equation by 2
a + 2c = 19
Divide the 2nd equation by 3
a + c = 13.5
Subtract the 1st equation and the 2nd equation
c = 5.5
Substituting back into the 2nd equation will give:
a + 5.5 = 13.5
a = 8
Step-by-step explanation:
Answer:
(1)
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion with the survey
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
1. =4/16 which in simplified terms = 1/4
2. = 37/99 (find the lowest common denominator which is 99 then multiply them, then combine fractions then subtract them)
3. 2/25
4. 12/18 which simplified is 2/3
5. 5/15 which simplified = 1/3
Hope you understand that:)
Answer: 1/3
Step-by-step explanation:
if you make a fraction 5/15 pizzas and simplify it is is equal to 1/3.
If each square represents a square foot half of it would be .5 so then add all of them. The formula for Area is A=l•w and the Area formula for a triangle is A=hbb/2. Hope this helps :)