X+x+54=180
2x+54=180
2x=126
x=63
63+54=117
one angle is 63, the other is 117
Answer:
We can assume that the statistic is 

So the p value obtained was a very high value and using the significance level given
we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
Step-by-step explanation:
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:
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
We can assume that the statistic is 
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided
. The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:

So the p value obtained was a very high value and using the significance level given
we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
Answer:
432
Step-by-step explanation:
number of :cows =32
: sheep=12×32 =384
: goats = 1345+384=1728
if he seal 3/4 of his goat ........
3/4×1728= 1296
the remained goat is :
1728-1296=432
Answer:
AC = 15, CM = 20, CP = 12
Step-by-step explanation:
see the attached picture, I tried to explain as much as possible, the general idea is there are three triangles that are similar to one another and thus in proportion. Therefore you can find missing sides using ratios.