Answer:
Step-by-step explanation:
Data given and notation
n=250 represent the random sample taken
estimated proportion of readers owned a particular make of car
is the value that we want to test
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 that the percentage is actually different from the reported percentage.:
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.) 3:1
2.) i think this one is 40 degrees because a complementary angles equal 90 degrees
3.) 53/60 because it comes out to 88.3% whereas 34/40 is 85% and 20/25 is 80%
It’s a
It can’t be b because it would have have reflected down
It can’t be c because it would have reflected down and right
Only a reflected right
Answer: 38°
Using cosine rule,
a² = b² + c² -2bc cos(A)
Insert values from diagram
14² = 18² + 22.8² - 2(18)(22.8) cos(A)
196 = 324 + 519.84 - 820.8 cos(A)
-820.8 cos(A) = 196 - 324 - 519.84
-820.8 cos(A) = -647.84
cos(A) = -647.84/-820.8
A = cos^{-1} (-647.84/-820.8)
A = 37.88°
A ≈ 38°
4 more students can go for $240
240/60= 4