Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
Answer: Answer is 3
BC 6
------ = ------
XY 3
Step-by-step explanation:
The statements below can be used to prove that the triangles are similar.
On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.
A B Over X Y = 4 Over 2
?
A C Over X Z = 52 Over 13
△ABC ~ △XYZ by the SSS similarity theorem.
Which mathematical statement is missing?
1. Y Z Over B C = 6 Over 3
2. ∠B ≅ ∠Y
3. B C Over Y Z = 6 Over 3
4. ∠B ≅ ∠Z
Answer:
0.94
Step-by-step explanation:
The question after this basically is:
<em>"If the applicant passes the "aptitude test for managers", what is the probability that the applicant will succeed in the management position?"</em>
<em />
So,
P(successful if hired) = 60% = 0.6 [let it be P(x)]
P(success at passing the test) = 85% = 0.85 [let it be P(y)]
P(successful and pass the test) = P(x) + P(y) -[P(x)*P(y)]
So,
P(successful and pass the test) = 0.6 + 0.85 - (0.6*0.85) = 0.94 (94%)
To figure out this problem, let's set up an equation first to make it easier:
702.50 = 5.5x + 70
x = amount charged per hour
702.50 = 5.5x + 70
-70 -70
-----------------------------
632.5 = 5.5x
/5.5 /5.5
--------------------
115 = x
Owen was charged $115 per hour
