Answer:
The statistic for this case would be given by:
Step-by-step explanation:
Infromation provided
n=100 represent the random sample selected
X=18 represent the people who rates Pepsi as being "concerned with my health"
estimated proportion of people who rates Pepsi as being "concerned with my health"
is the value that reference to compare
z would represent the statistic
Hypothesis to test
For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not
, then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The satistic for this one sample proportion test is given by:
(1)
Replacing the info given we got:
Answer:
Question 1: 76 dollars. ($76)
2. 1/5
3. 1/19
4. 1/5
Step-by-step explanation:
QUESTION 1:
228 (the amount Mrs. Nicci had) divided by 3 (children) is equal to 76
228/3 = 76
QUESTIONS 2, 3, AND 4.
2. Find the greatest common divisor (GCD). the GCD of 14 and 70 is 14. Then, divide the numerator and denominator by 14.
14/14 = 1
70/14 = 5
WHICH EQUALS 1/5!!
3. Find the greatest common divisor (GCD). the GCD of 5 and 95 is 5. Divide both the numerator and denominator by 5.
5/5= 1
95/5= 19
WHICH EQUALS 1/19!!
4. Find the greatest common divisor (GCD). the GCD of 12 and 60 is 12. So (like we have been doing for the whole part of this question), divide both the numerator and denominator by 12, which is the GCD.
12/12 = 1
60/12 = 5
WHICH EQUALS 1/5!!
Hope this helped.. I think this is like one of the longest Brainly answers I've recently had to type lol
(2, -1), (6,- 4), and (6, -1). Hope this helps man!
Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by 6 )
opp = 6
, then
d₂ = 2 × 6
= 12
Thus
A =
× 12 × 12
= 6 × 12
= 72
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