Answer:
A company wants to select 3 new employees.
We have 8 candidates, 6 males, and 2 females.
1) What is the number of combinations in which the new employees can be selected?
We have 3 positions.
For the first position, we have 8 options.
For the second position, we have 7 options, because we already selected one.
For the third position, we have 6 options, because we already selected two.
The number of different combinations is (8*7*6)/(3*2*1) = 56
The division by 3*2*1 is because if we no divide by this, we are counting multiple times the same combination of employees, but they are contracted in different orders.
2) How many ways you can select only one male?
In this case, we have 3 positions, two of those positions must be for the 2 women, so in the other position, we can select only one male.
We have 6 different males for that position, so we have only 6 combinations in this case.
3) In how many ways we can select at least one male?
Previously found that we have 56 combinations in total.
We only have 2 women and 3 positions, so in all of these combinations, we have at least one male. So there are 56 combinations with at least one male.
The number of combinations in which these 3 new employees can be selected is equal to 56.
Given the following data:
Number of candidates = 8 candidates.Number of males = 6 males.Number of females = 2 females.Number of employees = 3 new employees.How to find the number of combinations?Since the company needs 3 employees, it simply means there are 3 vacant positions. Thus, the number of combinations in which these 3 new employees can be selected is given by:
_nC_r = \frac{n!}{r!(n-r)!}
Combination(n, k) = n!/(r!(n - r)!)
Combination(8, 3) = 8!/(3!(8 - 3)!)
Combination(8, 3) = 8!/(3!(5)!)
Combination = (8 × 7 × 6)/(3 × 2 × 1)
Combination = 336/6
Combination = 56.
How many ways can a single male be selected?Two (2) of the 3 vacant positions must be taken by 2 women, so we can only select one male. Thus, the number of ways is given by:
Number of ways = 6 × 1
Number of ways = 6.
In how many different ways can at least one male candidate be chosen?Choosing 1 male = 6 ways
Choosing 2 males = two males from 6 males and 1 male from two females.
Comb(6, 2) × 2 = 6!/(2!(6 - 2)!) × 2
Comb(6, 2) × 2 = 6!/(2!(4)!) × 2
Comb(6, 2) × 2 = 15 × 2
Comb(6, 2) × 2 = 30 males.
Choosing 3 males = three males from 6 males;
Comb(6, 3) = 6!/(3!(6 - 3)!)
Comb(6, 3) = 6!/(3!(3)!)
Comb(6, 3) = 20 males.
Total combination = 6 + 30 + 20
Total combination = 56.
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Evaluate.
42 + (
1
5
)2
A) 6
2
5
B) 8
2
25
C) 16
1
25
D) 16
2
25
Answer:
C
Step-by-step explanation:
Use what you learned in the lesson and the online content to answer the following question: Which renewable source of energy should the United States focus its research and development efforts to make this source of energy our country’s main energy source by the year 2050? Why?
Answer:
the sun
Step-by-step explanation:
Answer:
Today we have technology that allows us to capture the sun's free and unlimited energy. The United States should focus its research & development efforts to make solar energy our country's main energy source by the year 2050. Solar energy is a renewable source because of the sun, and it does not produce any waste products. We are able to use solar panels & other devices to create renewable electricity for just about anywhere. It is safer and cleaner than other resources. We should seek to do this throughout the whole country so it can help our environmental status and solve the problem of running out of limited resources.
Step-by-step explanation:
got 100% on edg2021
Help me somebodyyyyyyyy!!!! What is the area of this???
Answer:
32.4759526419
Step-by-step explanation:
If it is an equilateral triangle, that makes the height 5 * 1.5 = 7.5
That makes the base 15/sqrt(3).
That makes the area 112.5/2sqrt3 =
32.4759526419
Please help! Will mark brainliest!
Answer:
13x+2
Step-by-step explanation:
4x + 1
4x + 1
3x
2x
-----------
= 13x + 2
Paul rolled a number cube. What is the probability he will roll a 5 or 6
Answer:33
Step-by-step explanation:did test
Which measure of center best describes the following data?
Explain why. Jareds points scored in a basketball games: 12, 20, 32, 8, 14, 11, 15.
Answer:
Step-by-step explanation:
Which of these is a two-step equation?
A.X+9= 21
B.x = 11 + 2
C.2x+9= 21
D.x/3=9
Sawyer recorded the number of different types of pets his friends have in the table shown below:
Cats 2
Dogs 3
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table? (5 points)
Question 6 options:
1)
2)
3)
4)
Answer:
The second graph
Step-by-step explanation:
Solve: 4/7 - (-4/7)
Answer:
1 1/7
Step-by-step explanation:
Subtracting a negative is adding
4/7 +4/7
8/7
Changing to a mixed number
1 1/7
14. Calculate A bird
weighing 15 g eats 10 times
its weight in food in a week.
How much food does the
bird eat in a day?
Answer:
21.429 grams per day
Step-by-step explanation:
15g times 10 =150g
150g/7 =21.429g per day
Final answer:
A bird that eats 10 times its weight in food per week, with a weight of 15 g, consumes approximately 21.43 g of food per day.
Explanation:
If a bird weighing 15 g eats 10 times its weight in food in a week, we first calculate the total amount of food the bird eats in a week and then divide that by 7 to find the daily intake.
First, we calculate the weekly food consumption:
The bird's weight = 15 g
Total weekly food intake = 15 g × 10 = 150 g
Daily food intake = Total weekly intake ÷ 7
Daily food intake = 150 g ÷ 7 ≈ 21.43 g
Therefore, the bird eats approximately 21.43 grams of food per day.
PLEASE ANSWER ASAP :)
Answer:
(x+6)( x^2 -2)
Step-by-step explanation:
x^3 +6x^2 -2x-12
We can factor by grouping
x^3 +6x^2 -2x-12
Factor x^2 out of the first group and -2 out of the the second group
x^2 (x+6) -2 (x+6)
Now factor out (x+6)
(x+6)( x^2 -2)
NEED HELP ASAP
I need answers please
Answer:
Step-by-step explanation:
10) Cos (x-y) = cos x cos y + sin x sin y
cos 4x cox 3x + sin 4x sin 3x = Cos (4x - 3x)
= cos x
11) = 2*(1² + 2) + 2*(2² + 2²)
= 2*3 + 2*(4+4)
= 6 + 2*8
= 6 + 16
= 22
12) (3) 4x² - 3x - 8 = 0
Reason:
Sum of roots = - Coefficient of x/coefficient of x² = -(-3)/4 = 3/4
Product of roots = constant / coefficient of x² = -8/4 = -2
Which of the following expressions is a factor of the trinomial x^3 - x^2 - 6x l. x
II. x - 3
III. x + 2
Answer:
Both
Step-by-step explanation:
First,let's resolve the expression into factors
x^3-x^2-6x
x(x^2-x-6)
x(x^2-3x+2x-6)
x(x(x-3)+2(x-3))
x(×+2)(x-3)
Therefore,both of them are the factors of the expression
25% of what number is 39?
Answer:
156 is your answer
Step-by-step explanation:
I think hope it helps
What is The volume of the rectangular prisim?
Answer:
1 1/9 ft³
Step-by-step explanation:
Volume of rectangular prism = L×W×H
3/3 × 2/3 × 5/3 = 30/27 = 1 3/27 = 1 1/9.
Slope of -3 and y intercept of 2
Answer:
the answere is 100
Step-by-step explanation:
I just need the answer plz
Answer: i got −5s^3+2s^2−s−9
Step-by-step explanation:
The histogram shows the number of runners who ran a given number of miles each week. How many runners ran 5–6 miles a week?
Answer:
5 runners
Step-by-step explanation:
By looking at the graph, the number of runners in the 5-6 mile category is 5.
Answer:5
Step-by-step explanation:
The blueprint for the Pelham's living room has a scale of 2 inches=5 feet. The family wants to use a scale of 1 inch=44 feet. What is the width of the living room on the new blueprint?
(the original width is 8)
Using the original scale of 2 inches = 5 feet, the living room is 20 feet wide. With the new scale of 1 inch = 44 feet, the width of the living room on the new blueprint would be 2.2 inches.
Explanation:To solve this problem, one must first determine the actual width of the living room using the original scale. According to the original scale, 2 inches represent 5 feet. This would mean that the actual width of 8 inches would represent (8 / 2) * 5 = 20 feet. Now, set up a proportion with the new scale, which is 1 inch = 44 feet. If x is the width on the new blueprint, we would have x / 44 = 1 / 20, solving for x gives us x = 44 / 20 = 2.2 inches. Therefore, the width of the living room on the new blueprint would be 2.2 inches.
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NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Bo and Erica are yoga instructors. Between the two of them, they teach 39 yoga classes each week. If Erica teaches 15 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 17 Erica
B.
18 Bo; 21 Erica
C.
15 Bo; 24 Erica
D.
20 Bo; 19 Erica
Answer:
c
Step-by-step explanation:
39-15=24
24+15=39
HELP! ASAP! MARKING BRAINLIEST!!
Which pyramid has a greater volume, and how much greater is its volume?
A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches.
A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
a). The volume of the pyramid on the left is greater by 2 inches cubed.
b). The volume of the pyramid on the left is greater by 6 inches cubed.
c). The volume of the pyramid on the right is greater by 2 inches cubed.
d). The volume of the pyramid on the right is greater by 6 inches cubed.
Answer:
a). The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-step explanation:
The volume of a rectangular based pyramid is
V = [tex]\frac{1}{3}[/tex] w b h
Where w, and b are the lengths of the base of the pyramid, and h is the height of the pyramid
Substitute the values given for both pyramids into the equation, and solve for V
Left Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 7 * 6 * 3
Volume of Left Pyramid = 42 [tex]inches^{3}[/tex]
Right Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 4 * 3 * 10
Volume of Right Pyramid = 40 [tex]inches^{3}[/tex]
Subtract the two volumes to find the difference in volume
42 - 40 = 2 [tex]inches^{3}[/tex]
Answer:
The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-Step Explanation
For a moving object, the force acting on the object’s acceleration. When a force of 56 N acts on certain object, the acceleration of the object is 8 m/s^2. If the force is changed to 35 N, what will be the acceleration of the object?
Answer:
force
Step-by-step explanation:
Answer:
its force
Step-by-step explanation:
because i know
How many pennies are in $3.25
Answer:
325
Step-by-step explanation:
100*3.25=325
Answer:
325
Step-by-step explanation:
Multiply $3.25 by the pennies worth; $3.25 x 0.01 = 325
6. What is the expected value for the
age of a randomly chosen student in
this high school?
Answer choices
15.42
15.43
15.48
15.57
Answer:
15.48
Step-by-step explanation:
multiply the age by the number of students. Add the six numbers you get and divide by 1,000 (total amount of students)
or
15,480/1,000 = 15.48
Solve the ineqyality: -4-5x < -29
A. X > -5
B. 5
C. X<-5
D. *<5
Please select the best answer from the choices provided
Answer:
x > 5
Step-by-step explanation:
-4-5x < -29
Add 4 to each side
-4+4-5x < -29+4
-5x < -25
Divide by -5, remembering to flip the inequality since we are dividing by a negative
-5x/-5 > -25/-5
x > 5
Jimmy is about to pick a marble from the jar. How likely is it that he will pick a blue marble?
Answer:
depends on how many different colors there are in the jar and how many marbles there are.
Step-by-step explanation:
HELP FAST PLZZZZ FOR BBRAINLEST AND 50 POINTSS Which of the following algebraic expressions can be used to express the statement "five less than y squared?" 5 − 2y 2y − 5 y2 − 5 5 − y2
Answer: y² - 5
Step-by-step explanation:
Five less than y squared...
First, let’s establish the y squared.
It should look something like this:
y²
But, we know that we need 5 less than y squared.
Therefore, we know there needs to be subtraction.
I think about it this way:
When you have y squared, you need 5 less than it, or y squared - 5.
Therefore, your answer is y² - 5.
Answer:
y2 - 5
Step-by-step explanation:
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?
Answer:
141.89526818714 cubic inches
Step-by-step explanation \
Vm = Volume of the men's basketball
Vm = (4/3)*pi*r^3
Vm = (4/3)*pi*(5)^3 ... diameter = 10 --> radius = 10/2 = 5
Vm = 523.598775598299 cubic inches
Vw = Volume of the women's basketball
Vw = (4/3)*pi*r^3
Vw = (4/3)*pi*(4.5)^3 ... diameter = 9 --> radius = 9/2 = 4.5
Vw = 381.70350741116 cubic inches
Difference in volume = Vm - Vw
Difference in volume = 523.598775598299 - 381.70350741116
Difference in volume = 141.89526818714 cubic inches
This result is approximate
Answer:
141.9 in.3
Step-by-step explanation:
Just did the assignment on edge2020
4. A rectangular park has been constructed in
downtown Lilburn. The designer wants to put a gravel
walkway that cuts diagonally through the park. The
width is 8 ft and the height is 6 ft long. What is the
length of his walkway?
Answer:
10ft
Step-by-step explanation:
Think of the rectangle as two right triangles. Sides a and b on the triangle are 8ft and 6 ft. That's 8 squared + 6 squared = c squared. C is 10 ft.
The requried measure of the length of the walkway is 10 feet.
As mentioned in the question, The designer wants to put a gravel walkway that cuts diagonally through the park. The width is 8 ft and the height is 6 ft long.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
here,
As of the given condition apply Pythagoras' theorem,
length² = width² + height²
length = √6²+8²
length = √100
length = 10 feet
Thus, the requried measure of the length of the walkway is 10 feet.
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which answer choice shows the decimals in order from least to greatest?
A. 18.879, 18.31, 18.1, 17.899
B. 17.899, 18.1, 18.31, 18.879
C. 18.1, 18.31, 17.899, 18.879
D. 18.879, 17.899, 18.31, 18.1
Answer:
B. 17.899, 18.1, 18.31, 18.879