Answer:
Step-by-step explanation:
sample size ( n ) = 2500 women ( computer and mathematical occupations )
Average earnings of sample ( X )= $75000 / year
standard deviation ( s )= $9500
a) knowing that the average earnings of men are $89,000/year, the null and the alternative hypotheses that the average earnings of women match the average earnings of men in the population.
Given ; Ц = $89000
Null hypothesis ( H0) : Ц = $89000
Alternative hypothesis ( H1 ) : Ц ≠ $89000
The test is : one sample t test hypothesis
b) Test statistic
Test statistic ( t ) =
Question 1: Option B: 
Question 2: Option D: 
Solution:
Question 1:
The point on the given line are (2, 4) and (4, –2).
Slope of the given line:
m = –3.
Slope of perpendicular line = –1 ÷ Slope of the given line
Slope of perpendicular line = 
Perpendicular line passing through the point (3, 1).
Slope -intercept form using point slope formula,
Option B is the correct answer.
Question 2:
The point on the given line are (0, –3) and (2, 3).
Slope of the given line:
m = 3.
Slope of parallel lines are equal.
Slope of parallel line =3
parallel lines passing through the point (–1, –1).
Point slope formula:
Option D is the correct answer.
Answer:
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Step-by-step explanation:
X=time it took to wash the dog
14=(1/4)x
x=56
it took her 56 min to wash the dog
<span>Let m = speed of motorboat
and c = speed of current
.
When going downstream, current speed is added to boat speed -- and, the total speed is "8 miles downstream in 20 minutes"
.
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/20 mins) * (60 mins/1 hour) = 24 mph
.
This gives us our first equation (1):
m+c = 24
.
When going upstream, the boat speed is reduced by the current -- and, the total speed is "8 miles in 30 minutes".
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/30 mins) * (60 mins/1 hour) = 16 mph
.
This gives us our second equation (2):
m-c = 16
m = 16+c
.
Plug the above into equation 1 and solve for c:
m+c = 24
16+c+c = 24
16+2c = 24
2c = 8
c = 4 mph </span>
