Complete question is;
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
A) How many ways can this be done, if the order of the choices is taken into consideration?
B) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
A) 524160 ways
B) 4368 ways
Step-by-step explanation:
A) If the order of choices is taken into consideration, then it is a Permutation problem.
Formula for Permutation is;
P(n, r) = n!/(n - r)!
In the question, n = 16 and r = 5
Thus;
P(16, 5) = 16!/(16 - 5)!
P(16, 5) = 524160
B) If the order of choices is not taken into consideration, then it becomes a Permutation problem.
Formula for Combination is;
C(n, r) = n!/((r! × (n - r)!)
C(16, 5) = 16!/((5! × (16 - 5)!)
C(16, 5) = 4368
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Population Mean wage (m) = $24.57
a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
The Null hypothesis : μ = 24.57
1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
Alternative hypothesis : μ ≠ 24.57
1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
Sample size (n) = 30
Sample mean (Sm) = 23.89
Population standard deviation (σ) = 2.40
Obtaining Z:
Z = (Sm - m) / σ/√n
Z = (23.89 - 24.57) / 2.40/√30
Z = - 0.68 / 0.4381780
Z = - 1.5518805
Using the online p value calculator from Zscore
P value = 0.121142
= 0.1211
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?
Answer:
8 - 2i
Step-by-step explanation:
Just add the real parts together and then add the imaginary parts together
5 + 3 = 8
-4i + 2i = -2i
8 - 2i
Answer:
8-2i
Step-by-step explanation:
Please help please
Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
Helppppppp plzzzzzzzzzxzxzmfyfdtidt
Answer:
y=7
Step-by-step explanation:
Distribute: 9y-4y-4=31
Add like terms: 5y-4=31
Isolate: 5y=35
Divide each side by 5: y=7
ANSWER: y=7
Hope this helps
write an equation and use it to find the value of x will mark brainiest
Answer:
equation: (12x+19) + (22x-9) = 180
x= 5
Step-by-step explanation:
the equation was made by the fact that the angles would add up to equal 180 degrees since the line made by them is straight
(12x+19) + (22x-9) = 180 is the same as 12x + 19 + 22x - 9 = 180
add like terms: 34x + 10 = 180
subtract 10 from both sides: 34x = 170
divide both sides by 34 to find x: x = 5
Answer:
12x+19+22x-9=180Step-by-step explanation:
its a supplementary angles:
meaning two angles adds up to 180
therefore,
12x+19+22x-9=180
-------------------------------
to find the value of x:
12x+19+22x-9=180
12x + 22x = 180 - 19 + 9
34x = 170
x = 170 / 34
x = 5
help and ill give u brainly And points ASAp
PLEASE HELP!?!?!
a. c + 7 less than or equal to 3
b. c – 3 > 1
c. c – 7 < 3
Matching
Match the inequality to the graph of its solution.
Find the slope of the line through the points (3,2) and (4,5).
Answer:
[tex]m=3[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{5-2}{4-3}[/tex]
[tex]m=\frac{3}{1}[/tex]
[tex]m=3[/tex]
Mrs. Olen wants to join a gym. Francis Lewis Gym charges a new member fee of $150 plus $10 each month. Clintonville Gym charges a new member fee of $50 plus $35 each month.
Answer:Step-by-step explanation:
a. Let x = number of months
Amount charged by Francis Lewis Gym = 150 + 10x
Amount charged by Clintonville Gym = 50 + 35x
Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months
150 + 10x = 50 + 35x
Collect like terms
150 - 50 = -10x + 35x
100 = 25x
Divide both sides by 25
100/25 = x
4 = x
Answer: 4 months
b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.
Amount charged by Francis Lewis Gym = 150 + 10x
= 150 + 10(2)
= 150 + 20
= $170
Amount charged by Clintonville Gym = 50 + 35x
= 50 + 35(2)
= 50 + 70
= $120
She should join the Clintonville Gym if she plans to join a gym for 2 months.
Answer: Clintonville Gym
Find the exponential function evaluate of
Y=2.5x
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 2.52.5
y-intercept: (0,0)
x y
0 0
1 2.5
丼
PLEASE ANSWER IMMEDIATELY!!!
Answer:
C.
Step-by-step explanation:
Point lines A and B are pointed in the same each direction.
Point line straight C and G.
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
Answer:
B and C
Step-by-step explanation:
Both do not intersect AB and are not parralel to AB.
A biker cycles 9 miles in 2/3 of an hour.
The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)
Answer:
this is for you RSM people.
1 hour=13.5
2 hours=27
3 hours=40.5
3.5 hours=47.25
Step-by-step explanation:
The constant variation of the biker is the speed of the biker, Hence, the constant variation is 13.5 mph
Giveb the Parameters :
Distance biked = 9 miles Time taken = 2/3 hoursRecall :
Speed = distance / timeSpeed = 9 ÷ 2/3
Speed = 9 × 3/2
Speed = 27/2 = 13.5 miles per hour.
Therefore, the constant variation is 13.5 mph.
Learn more : https://brainly.com/question/18796573
HURRY AND AWNSER SISSYS
Answer:
Neither
Step-by-step explanation:
2(x-3)=x-5+x plz help
Answer:
x is undefined
Step-by-step explanation:
Simplify the expression, we get
2x-6=2x-5
This will not work
There are no solutions
Do you guys know the answer?
Some one please help it’s subtracting fractions
Convert any mixed numbers to fractions.
Then you get your initial equation
Applying the fractions formula for subtraction
Simplifying 72/16, the answer is
4 1/2
...........I need help......
The anwer is B, f(x)=9500-750x
Hope this helps, brianliest if you can!
Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.
[tex]\huge\boxed{125.}[/tex]
[tex]\boxed{-------------------------------------}[/tex]
Explanation...
So, 25 legislators represents 500,000 people.
We are trying to find how much legislators you need to represent 2,500,000.
500,000*5=2,500,000.
25*5=125.
Therefore, your answer is 125.
[tex]\boxed{-------------------------------------}[/tex]
Hope i helped!
[tex]\huge\boxed{Thanks,Plip.}[/tex]
Answer: 125
In Kennington, 25 legislators represent 500,000 people.
Find how many times 500,000 go into 2,500,000 people.
2,500,000 ÷ 500,000 = 5
Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.
25 x 5 = 125.
Answer = 125.
Hope this helps you!
Which sets of angles listed are complementary in this diagram?
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
From the given figure we need to identify the complementary angles.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
By complementary angles concept:
From the figure, ∠AEG+∠CEG=90°
∠AEF+∠FED=90°
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
To learn more about the complementary angles visit:
https://brainly.com/question/15592900.
#SPJ5
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
alternate interior angles
Step-by-step explanation:
I know for sure that this is one of the answers to your question sorry i didnt get to help more
Answer:
alternate interior angles
Step-by-step explanation:
Enter an equation in standard form to model the linear situation.
A barrel of oil was filled at a constant rate of 6.7 gal/min. The barrel had 12 gallons before filling began.
Answer:
jdfjafdsds
Step-by-step explanation:
231km 118m - 485km 829m in the smallest unit
Answer:
Uhhhhhh
Step-by-step explanation:
ABUNDA LA CACA BDHDHENSNGAGVD
Answer:
hard
Step-by-step explanation:
Simplify (4.5)(5)(−2).
Group of answer choices
45
4.5
−4.5
−45
Answer: -45
Steps: 4.5 × 5 × -2 = -45
Plz mark brainliest:)
Will give brainliest!
a
(1, 3) and (2, 7)
b
(3, 8) and (5, 12)
c
(1, 3) and (6, 13)
d
(5, 12) and (6, 13)
Answer:
B
Step-by-step explanation:
I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!
There are three consecutive even integers. Three times the smallest is twice the largest. What are the integers?
Answer:
8, 10, 12 are the integers
Step-by-step explanation:
Guess and check
78 feet wide and 27 feet long what is the perimeter?
Answer:
105
Step-by-step explanation:
When finding the perimeter add them together
9.831 rounded to the nearest tenth
Answer:
9.8
Can i get brainliest please?
Answer:
9.8
Step-by-step explanation:
Hoped that helped :)
There are four different sets of objects shown in the answer choices. Select all of the sets of objects that could be modeled by perpendicular lines. Two roads that meet at an intersection. The top of a desk and the floor. A tree and its shadow on the ground. Two stars seen in the sky.
Answer:
Step-by-step explanation:
Select all of the object sets that could be modelled by perpendicular lines.
A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.
OPTIONS:
(A) APPLICABLE
Two roads that meet at an intersection can be modelled by perpendicular lines. Use the definition above as a yardstick.
(B) APPLICABLE
The top of the desk to the floor will represent the dividing line while the floor itself will be the 180° line.
(C) NOT APPLICABLE
A tree and its shadow on the ground will only form a right-angled triangle
(D) NOT APPLICABLE
Two stars seen in the sky cannot be modelled by perpendicular lines. They can only be modelled by a straight line; a line which extends from the first star to the other.
Solve for the variable : 5y+6=3(y+4)
Answer:
y = 5
Step-by-step explanation:
Answer:
Y=3
Step-by-step explanation:
You would want to multiply y and 4 by 3.
5y+6=3(y+4)
×3 ×3
5y+6=3y+12
Now you want to have y by itself. You can first subtract 6 for starters.
5y+6=3y+12
-6 -6
5y=3y+6
5y=3y+6
-3y -3y
2y=6
Now you would want to divide.
2y=6
÷2 ÷2
y=3
You're answer would be y=3.
Tom buys some polos for $18 each.He has a coupon for $25 off the total price.If he pays $47, how many shirts,p,did he buy?
Answer:
he should have bought 4-5 unless he under paid but i'd say he bought 4 polo shirts
Step-by-step explanation: