4. Calculate the probability that an officer is promoted given that the officer is a man. 5. Calculate the probability of a promotion given that the officer is a woman
Answers
Answer:
4. Probability of being promoted given the officer is a man = 0.3
5. Probability of a promotion given that the officer is a woman = 0.15
Note: The data table is found in the attachment below
Step-by-step explanation:
Probability = number of required outcomes/ number of possible outcomes
4. Probability of being promoted given the officer is a man
Probability of being promoted given the officer is a man = number of men promoted/total number of men
From the table, total number of men = 960
number of men promoted = 288
Probability of being promoted given the officer is a man = 288/960 = 0.3
5. Probability of a promotion given that the officer is a woman
Probability of a promotion given that the officer is a woman = number of women promoted/total number of women
From the table, total number of women = 240
number of women promoted = 36
Probability of a promotion given that the officer is a woman = 36/240 = 0.15
Related Questions
If six pieces come off of a hot press, find the probability that two are Grade A, three are Grade B, and one is a Cull.
Answers
Step-by-step explanation:
Given data:
No of pieces = 6
Grade A = 2
Grade B = 3
Cull = 1.
Solution:
Probability that two are Grade A
P = 2/6
= 0.33
Probability that 3 are Grade B
P = 3/6
= 0.5
Probability that 1 is a cull
P = 1/6
= 0.17
how many 3/8 " slices are in a block of cheese that is 5 " inches long?
Answers
Can someone help me with this
Answers
Answer:
2 1/8 = h
2 1/2 = k
2 5/8 = L
1 7/8 = g
1 5/8 = e
2 3/4 = m
1 1/2 = d
2 1/4 = I
1 3/8 = c
2 7/8 = n
1 1/8 = a
Step-by-step explanation:
Factor the polynomial function over the complex numbers.
f(x)=x4−x3−2x−4
Enter your answer in the box.
f(x)=
Answers
Answer:
2Step-by-step explanation:
Given function
f(x)=x⁴−x³−2x−4Factoring the polynomial
x⁴−x³−2x−4 = (x⁴−4) − (x³+2x) =(x² + 2)(x² - 2) - x(x² + 2) =(x² + 2)(x² - x - 2) =(x + i√2)(x - i√2)(x - 2)(x + 1)As we see there are 2 complex factors
Answer:
(x+1)(x-2)(x+i√2)(x-i√2)
Step-by-step explanation:
Can somebody answer this Asp please
Answers
Answer:
the answer is the third one C
g A spotlight on the ground is shining on a wall 20m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building
Answers
Answer:
0.3 m/s
Step-by-step explanation:
[tex]\dfrac{dx}{dt}=\text{Speed of person}=0.8\ \text{m/s}[/tex]
As the two triangles in the diagram are similar to each other we have
[tex]\dfrac{y}{12}=\dfrac{2}{8}\\\Rightarrow y=12\times \dfrac{2}{8}\\\Rightarrow y=3\ \text{m}[/tex]
Again as the triangles are similar we have
[tex]\dfrac{y}{2}=\dfrac{12}{12-x}\\\Rightarrow x=12-\dfrac{24}{y}[/tex]
Differentiating the above equation with respect to time we get
[tex]\dfrac{dx}{dt}=\dfrac{-24\times-1}{y^2}\dfrac{dy}{dt}\\\Rightarrow \dfrac{dy}{dt}=\dfrac{dx}{dt}\times\dfrac{y^2}{24}\\\Rightarrow \dfrac{dy}{dt}=0.8\times \dfrac{3^2}{24}\\\Rightarrow \dfrac{dy}{dt}=0.3\ \text{m/s}[/tex]
The speed at which the shadow is changing is 0.3 m/s.
i don’t have timeee plsss hurry!
Answers
Answer:
there is no remainder but its 11
Answer:
Quotient is 11 and the remainder is 0
Step-by-step explanation: 143÷13 is 11 so therefore there would be no remainder :)
You must be at least 48 inches tall to ride an amusement park ride, and your little sister is 39 inches tall. How
many inches i must she grow before she may ride the ride?
Whats the inequality ?
Answers
Answer:
9
Step-by-step explanation:
48-39=9
Answer:
9
Step-by-step explanation:
person above me is correct
Five less than twice a number is ten
Answers
Nine
“five less” than “twice a” number is “nine”.p-by-step explanation:
Determine if the rates are equivalent.explain your reasoning 25 hours in 5 days 8 hours in 2 days
Answers
Answer:
No they are not equal
Step-by-step explanation:
25/5 and 8/2 are not equal 25/5 is equal to 5 and 8/2 is equal to 4.
Hope this helps☺️
t is no more than 2 units from 9
Answers
Answer:
11 or 7
Step-by-step explanation:
9 + 2 = 11
9 - 2 = 7
5/6%1/3 math question
Answers
Answer:
0.277(continued)
Step-by-step explanation:
The length of Amy's rectangular kitchen is 12 feet. If the area of the room is at least 96 square feet, what is the smallest width the room could have? Show your work
Answers
Answer:
8 feet is the shortest possible with the room could have
Step-by-step explanation:
12×8=96
Answer:
8 is the smallest width the room could be
Step-by-step explanation:
s represents the number that is the smallest the room could be
12s = 96
divide both sides by 12
12s/12 = 96/12
s = 8
Help me
I will mark is the most brilliant answer
Answers
Answer:
Number one is D/12.5
Step-by-step explanation:
correct me if im wrong plz
If the absolute value of the correlation is approximately one, then the points lie close to a line that slopes upward or downward?
Answers
Answer:
if it is positive then it goes upward and if negative it goes downward..so if it is approximately 1 then it will be constant or straight...
estimate the product choose a method 63 * 18
Answers
Answer:
[tex]the \: product : 63 * 18 = 63 \times18 \\ 63 * 18 = 1,134.[/tex]
how many gallons is in 152 cups
Answers
Answer:
9.5
Step-by-step explanation:
You're welcome have a nice
There were 600 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $1,160.
How many adults and how many children attended? Use the elimination method.
A. 290 adults and 310 children
B. 160 adults and 440 children
C. 320 adults and 280 children
D. 280 adults and 320 children
Answers
A conical water tank with vertex down has a radius of 11 feet at the top and is 20 feet high. If water flows into the tank at a rate of 10 ft3/minft3/min, how fast is the depth of the water increasing when the water is 12 feet deep?
Answers
Answer:
0.073 ft/min
Step-by-step explanation:
The radius of the tank = 11 feet and the height of the tank = 20 feet. The depth of water = h = 12 feet, let r be the radius of the water, hence:
[tex]\frac{r}{h}=\frac{11}{20}\\ \\r=\frac{11}{20}h\\ \\The \ volume\ of\ the \ tank\ is:\\\\V = \frac{1}{3} \pi r^2 h=\frac{1}{3}\pi (\frac{11}{20}h)^2.h=\frac{121}{1200}\pi h^3 \\\\Given\ that\ rate=\frac{d}{dt}(V)= 10ft^3/min\\\\\frac{dV}{dt}= \frac{d}{dt}( \frac{121}{1200}\pi h^3)\\\\\frac{dV}{dt}=\frac{121}{1200}\pi (3h^2\frac{dh}{dt})\\\\\frac{dV}{dt}=\frac{121}{400}\pi h^2(\frac{dh}{dt})\\\\Given\ water\ is\ 12ft\ deep, i.e.\ h=12.Substituting:\\\\[/tex]
[tex]10=\frac{121}{400}\pi (12^2)\frac{dh}{dt} \\\\\frac{dh}{dt} =0.073\ ft/min[/tex]
How many solutions does 49m+9=49m+83 have
Answers
None. You cancel out 49m on both sides and get 9 = 83, that is not true so there aren't any solutions.
The sum of three numbers is 15. The sum of the first number and three times the second number is 15. The sum of the second number and
the third number is 8. What are the three numbers?
Answers
Answer:
Im not sure if this is correct
x=7
y=8/3
z=16/3
Step-by-step explanation:
The three equations are
x+y+z=15
x+3y=15
y+z=8
you can use substitution for the first and third equation so it would be
x+8=15
x=7
then use sub for the second equation
7+3y=15
3y=8
y=8/3
and you can finish by using sub for the third equation
8/3+z=8
3z=16
z=16/3
I hope this is correct
What is 15-4x=10x+45?
Answers
Answer:
-15/7
Step-by-step explanation:
Answer:
-15 ⁷
Step-by-step explanation:
Kelly needs to buy 5 notebooks and 3 folders for school. If notebooks cost $6 and folders cost $2, how much money does Kelly need for school supplies?
Answers
Answer:
$36
Step-by-step explanation:
1 notebook costs $6
1 folder costs 2$
Therefore, the cost of 5 notebooks= 6X5 (six times five) =$30
Similarly, the cost of 3 folders= 2X3 (two times three) =$6
Total amount= $30+$6 = $36
So the total amount Kelly needs is 36 dollars
Label these on a number line below
Answers
Answer:
You know there is a video to help and there is hints in khan Academy.
Step-by-step explanation:
An item on sale costs 40% of the original price. If the original price was $75, what is the sale price?
Answers
Answer:
$45
Step-by-step explanation:
75 * 0.40= 30
75-30= 45
find the value of
sin 0.4
Answers
Answer:
In radians: 0.3894
In degrees: 0.00698
Step-by-step explanation:
Plug it into a calculator.
2) Michelle was 3 miles from home. 2 hours later, she was 15 miles from home.
What is her speed?
Answers
If she was 3 miles from home already, you would subtract 3 from 15 and you would get 12. Divide 12 by 2 and you get 6. Therefore she would be moving at a pace of 6 MPH.
If ĐPQR = 50°, what is the measure of its complement?
Answers
Answer:
The measure of its complement is 40°
Step-by-step explanation:
The sum of the measures of the complementary angles is 90°If the measure of an angle is x°, then the measure of its complement is 90° - x°∵ The measure of angle PQR equal 50 degrees
∴ m∠PQR = 50°
∵ Angle x is the complement angle of angle PQR
→ That means the sum of the measures of angle x and angle PQR is 90°
∴ m∠x + m∠PQR = 90
→ Substitute measure of angle PQR by 50°
∴ m∠x + 50 = 90
→ Subtract 50 from both sides
∴ m∠x + 50 - 50 = 90 - 50
∴ m∠x = 40°
∴ The measure of its complement is 40°
Christine is a saving money to buy a game . So far she has saved $36 , which is 3/4 of the cost. How much I does the game cost.
Answers
Answer:
The game costs $48
Step-by-step explanation:
Good luck!
3.7 x 10 to the power of 6 written in decimal form
Answers
Answer:
3,700,000
Step-by-step explanation:
