Answer:
Based on given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
Step-by-step explanation:
Sample 1 for female
Sample 2 for male
Confidence = 90%
Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees = µ₁- µ₂
So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
Answer:
y = x² - 4x - 21
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 25), thus
y = a(x - 2)² - 25
To find a substitute (7, 0) into the equation
0 = a(7 - 2)² - 25 = a(5)² - 25 = 25a - 25 ( add 25 from both sides )
25a = 25 ( divide both sides by 25
a = 1, thus
y = (x - 2)² - 25 ← in vertex form
Expand and simplify
y = x² - 4x + 4 - 25
y = x² - 4x - 21 ← in standard form
Slope-Intercept form - y = 4
Answer:
0.45% probability that they are both queens.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes
The combinations formula is important in this problem:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.
The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So
Total outcomes
Combinations of 2 from a set of 52(number of playing cards). So
What is the probability that they are both queens?
0.45% probability that they are both queens.
Answer: -3
Step-by-step explanation:
-4
+ 
can be written as 
x
which is the same as 2
Also , can be written as 
x , which is the same as 5
Substituting into the main question , we have
-4 (2 ) + 5
= -8 + 5
= -3
