Here are 98,280 ways to lay off 12 employees from the company.
What is combination?
In mathematics, a combination is a way of selecting objects from a set, where the order in which the objects are selected does not matter. Combinations are used in various areas of mathematics and statistics, as well as in real-world applications such as probability theory, genetics, and computer science.
We can solve this problem using combinations. We need to choose 12 employees out of a total of 14+8+6=28 employees. The number of ways to do this is:
\({28 \choose 12} \\= \frac{28!}{12!16!} = 98,!280\)
Therefore, there are 98,280 ways to lay off 12 employees from the company.
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attempt 4 the rate of the given reaction is 0.420 m/s.0.420 m/s. a 3b⟶2c a 3b⟶2c what is the relative rate of change of each species in the reaction?
the relative rate of change of each species in the reaction can be determined using stoichiometry.
The stoichiometry of the reaction tells us that for every 3 moles of species A consumed, 2 moles of species C are produced. Therefore, the relative rate of change of species A can be calculated by multiplying the rate of the reaction (0.420 m/s) by the stoichiometric coefficient of A (-3), and dividing by the stoichiometric coefficient of C (2). Similarly, the relative rate of change of species B can be calculated by multiplying the rate of the reaction by the stoichiometric coefficient of B (-1) and dividing by the stoichiometric coefficient of C (2). The relative rate of change of species C is simply equal to the rate of the reaction.
the relative rate of change of each species in the reaction can be determined by applying stoichiometry. The relative rate of change of species A is (-0.630 m/s), the relative rate of change of species B is (-0.210 m/s), and the relative rate of change of species C is (0.420 m/s).
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PLZ HELP ASAP. WILL GIVE BRAINLIEST IF CORRECT
What is the length of the unknown side of the right triangle using the Pythagorean Theorem?
7
24
25
31
Answer:
25 is the answer.
Step-by-step explanation:
Answer:
25 because 7 squared plus 24 squared is 625 then you find the square root which is 25.
if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then, p(b) =
The chance of the event B is 0.4 when using the probability for the two independent two event formula.
In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).
Events classified as independent do not depend on other events for their occurrence.
Event A's likelihood of happening is P(A)=0.65.
The likelihood of the two events A and B intersecting is P(A∩B)=0.26.
Given that the likelihood of the two independent events is:
P(A∩B) = P(A)⋅P(B)
Then the probability of the event B will be,
P(B) = P(A)/P(A∩B)
P(B) = 0.65/0.26
P(B) =0.4
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24. Three boys played a "Word" game in which they each wrote down 10 words. Each boy scored three points if neither of the other boys had the same word. Each boy scored one point if only one of the other boys had the same word. No points were awarded for words which all three boys had. When they added up their scores, they found that they each had different score. Sam had 19 points, which was the smallest score, and James had the highest score. How many points did James score?
Answer:
Let be the number of times that Sam scored 3 points. If ≤ 4 then his maximum score would be 3 × 4 + 6 = 18 which is too small. If ≥ 7 then his minimum score would be 3 × 7 = 21 which is too big. Hence is either 5 or 6.
Suppose = 6. So Sam had 6 words not shared with the other boys, giving him 18 points. To get a score of 19, he must have shared one word with one other boy and picked three words shared with them both. That means that the other two boys also scored 0 points for those three words. To score more than 19 they must have scored 3 points for each of their 7 remaining words. However one of them has shared a word with Sam so scored a maximum of 19 points. Hence ≠ 6.
Hence = 5, giving Sam 15 points for these 5 words. To score 19, Sam must have scored 1 point for another four words and there must have been one word shared by all three boys. Each of the other two must have scored 3 points at least 6 times in order to score more than Sam. Also each scored 0 points for one word. That determines the scores for seven of each boy’s words. Between the two, they shared a word with Sam 4 times; and these could be divided between them either 2 each or 1 and 3. The former case leaves only one word each to fix and this could be either 1 point each or 3 points each. But that would give the two boys the same score. Therefore one boy had 3 words shared with Sam and so a score of 21. The other had only one word shared with Sam and the remaining two words must have scored 3 points, giving a total of 25. So James scored 25 points.
Step-by-step explanation:
mark me brainliest!!
Bearing a to b is 280 what is bearing b to A
Answer:
please see photo attached for detailed analysis.
(4x - 6)
(x+6y)”
Solve for y
Hey there!
(4x - 6)(x + 6y)
= (4x - 6)(1x + 6y)
= 4x(1x) + 4x(6y) - 6(1x) - 6(6y)
= 4x^2 + 24xy - 6x - 36y
Therefore, your answer is:
4x^2 + 24xy - 6x - 36y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Susan made 168 cupcakes and gave some to her 21 students.
She then had 1/2 of her cupcakes left. On average, how many
cupcakes did she give to each of the 21 students?
Answer:
4
Step-by-step explanation:
The procedure and the answer, Pleaseeeee
Answer:
looooookkkkkk at the picture
A group of friends decided to share
4 chocolate bars. If each friend only
ate of a chocolate bar, how many
friends shared the chocolate bars?
Answer:is it 3?
Step-by-step explanation:
sorry if im wrong im not sure
The height of males aged between 17 and 20 follows a normal distribution, with a mean of 71.1 inches and a standard deviation of 2.3 inches.
If the number of males between ages 17 and 20 is 11.0 million, how many males in this age group have heights between 69 inches and 73 inches?
A)3.6 million
B)4.1 million
C)6.8 million
D)9.7 million
Answer:
B
Step-by-step explanation:
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help i hate maath
4 2/8+9 4/8
13 6/8 or 13 3/4 they are both right answers
Solve for d.
4d - 4 = 5d – 8
d =
Answer:
Step-by-step explanation:
-d - 4 = -8
-d = -4
d = 4
Answer:
d= 4
Step-by-step explanation:
4d - 4 = 5d – 8
Subtract 4d from each side
4d-4d - 4 = 5d-4d – 8
-4 = d-8
Add 8 to each side
-4+8 = d-8+8
4 =d
1.Given the following:
D: μ≥1000;
E: μ<1000
D and E represent respectively.
Select one:
a. H(a) and H(0)
b. H(0) and H(a)
c. Type I error and Type II error
Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
How to determine D: μ≥1000; E: μ<1000?Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).
The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.
The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.
Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
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A manager that owns 3 local area car maintenance garages was researching certifications of mechanics that worked for her company. consider the following Venn Diagram.
1.How many mechanics work for her company
2.How many are certified to do work on brakes
3.How many are certified by ASE to do work on brakes **and** tune-ups?
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
A bank charge a 10$ fee to open an account. Which are the following equation bet repreent the total amount in account,m, when tarting with d, in dollar
The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.
Although the question does not specify the options, but I have specified my answer as follows:
Given:
The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.
Account Opening Charges: $10
Starting amount: $d
The total amount in the account: $m
Let us say the depositor deposits an amount $k for 'i' number of months
Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.
I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.
The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time
⇒m=d-10+k×i
This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.
Therefore, the following equation is m=d-10+k×i.
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A group of 25 students is asked which of football or rugby they play regularly.
• 10 say they play both.
15 say they play rugby.
4 say they do not play either of the sports.
.
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ח
R
a) Complete the Venn diagram.
The universal set, &, contains all of the
25 students.
[3]
b) One of these students is chosen at random.
What is the probability that this person plays football?
Answer:
a) see explanation
b) 40%
Explanation:
a) sorry, i can't specifically help with this one unless you attach a picture of the venn diagram. but the way venn diagrams work is that you draw several circles, each representing a trait (i.e. plays rugby). circles will overlap if someone has more than one trait (i.e. plays both sports).
b) the probability is 10 ÷ 25 × 100% = 40%.
i hope this helps! :D
Find the slope-intercept equation of the line that passes through (4, -3) and has a slope of 1.
Answer:
y=1x-y
Step-by-step explanation:
so we use y-y1=m(x-x1)
Y1=-3 X1=4 M=1
Y-(-3)=1(x-4)
Y+3=1x-4 Subtract 3 from both sides
Y=1x-7
1
What is the solution to the equation
1/x = x+3/2x^2
?
O X=-3
O x= -3 and x = 0
O x = 0 and x = 3
O x=3
\( \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3\)
Answer:The answer is option d. X = 3
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation:
Two times the sum of a number and five is 20
Answer: The number is 5
Step-by-step explanation:
I assume you are asking for finding the number.
For this kind of question, just accord to the statements and write an equation.
--------------------------------------------------------------------
Let x = the number
2(x+5)=20
x+5=10
x=5
Answer:
x = 5
Step-by-step explanation:
Let the unknown number be x
\(2(x + 5) = 20\)
Expand
\(2(x + 5) = 2x + 10 \\ 2x + 10 = 20\)
Collect like terms and simplify
\(2x = 20 - 10 \\ 2x = 10\)
Divide both sides of the equation by 2
\( \frac{2x}{ 2} = \frac{10}{2} \\ x = 5\)
Suppose the population of a certain state is 6,215,000. If 435,050 are children under 5 years of age, 4,972,00 are between the ages of 5 and 65, and 807,950 are over 65, what percentage of people make up each age group?
(A) under 5: ___
(B) between 5 and 65: ___
(C) over 65: ___
Answer:
A) 435,050/6,215,000= 0.07= 7%
B) 4,972,000/6,215,000= 0.8= 80%
C) 6,215,000-(4,972,000+435,050)= 807,950
807,950/6,215,000=0.13=13%
Find the total area of the shaded regions, giving the answer to 3 significantfigures.
If we want to find the area of the shaded region, we would have to find the area of the circle and the area of the triangles, and subtract the last result from the area of the big shape.
Area of the circle
Using the formula for the area of the circle, we have:
\(\begin{gathered} A=\pi\cdot r^2 \\ A=\pi(10\operatorname{cm})^2\text{ (Replacing the values)} \\ A=\pi(100\operatorname{cm})(\text{ Raising 10 to the power of 2)} \\ A=314\text{ cm}^2 \end{gathered}\)Area of the triangles:
Angle θ is equal to 360° divided by 8 given that we have 8 equal parts. Angle θ =45.
We are going to find the area of each triangle with the formula A=(1/2)(a)(b)(sin(C). In this case a=10 cm ,b=10 cm and sin(C)=sin(45)=0.707.
Replacing in the formula, we have:
\(\begin{gathered} A=\frac{1}{2}(10)(10)\sin (45) \\ A=\frac{1}{2}\cdot100\cdot0.707cm^2\text{(Multiplying)} \\ A=35.35\text{ cm}^2\text{ (Multiplying)} \end{gathered}\)The area of the 8 triangles is: 35.35 x 8 cm^2 = 282.8 cm^2 (Multiplying)
Area of the shaded region
Area of the circle - Area of the triangles = 314 cm^2 - 282.8 cm^2 = 31.2 cm^2
The answer is 31.2 cm^2 rounded to three significant figures.
Samuel used 1 3/4 cups of dry oatmeal to make 4 servings. Which proportion could be used to calculate the amount of dry oatmeal needed to make 3 servings?
Answer:
1 3/4 / 4
x / 3
Step-by-step explanation:
The answer is about 1.31 cups.
hope this helps
A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between them is 70°. What is the area of the parking lot?
The area of the parking lot is 4606 square meter.
What is parallelogram?
It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.
What is the area of parallelogram?
The area of a parallelogram is the product of its base and height.
We have,
length of two adjacent sides are 70meters and 100meters.
And base of parallelogram is 70m. (length of parallelogram is its base)
Angle between the adjacent sides is 70 degrees.
Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.
For the height of the parallelogram
In ΔADE, we have
\(sin70=\frac{DE}{AD}\) \((sinx=\frac{perpendicular}{hypotenuse})\)
⇒ \(0.9397=\frac{h}{70}\)
⇒ \(0.9397\)×70\(=h\)
⇒ h=65.8m
Formula to find the area of parallelogram:
Area= base× height
so, the area of parking lot=base × height
substitute the value of base and height of the parallelogram in the above formula.
Therefore,
\(Area=65.8\)×\(70\)
\(Area=4606m^{2}\)
Hence, the area of the parking lot is 4606 square meter.
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What is (2)(-3)(-4)
Answer:
No, No, Yes, Yes.
Step-by-step explanation: 2 times -3 = -6. -6 times -4 = 24.
So, with that said, the first one multiples out to -24.
The second multiplies out to again -24.
12 times 2 = 24.
A negative and a negative multiply to become a positive, so -4 times -6 = 24.
Answer:
24 i belive
so you should choose
Step-by-step explanation:
(6) (-4) = no
(-3) (8) =no
(12) (2) =yes
(-4) (-6)= yes
Help please, check photo
The value of x in function cos(3pi/2+2x/3)=1/2 is x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n.
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)
We are given;
6sinx=5, 6cosx=7, sin2x=0, sin(x+pi/3)+1=0, cos(2x/3-pi/4)=\(\sqrt{2} /2\), cos2x-1=0, 2sin3x=-1, cos(3pi/2+2x/3)=1/2
Now,
1. 6sinx=5
sinx=5/6
x=0.98511078
2. sin2x=0
x=n*pi/2
3. sin(x+pi/3)+1=0
x-intercept= (pi/6+2n*pi)
y-intercept= (0, \(\sqrt{3}\)/2 -1)
4. cos(2x/3-pi/4)=\(\sqrt{2}/2\)
x= (pi/4+n*pi, pi+n*pi)
6. cos2x-1=0
x=n*pi
7. 2sin3x=-1
x= 7pi/18 + 2pi*n/3, 11pi/18+2pi*n/3
8. cos(3pi/2+2x/3)=1/2
x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n
For any value of integer n
Therefore, the answer of trigonometric function will be x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n.
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A store bought a swing set at a cost of $90 and marked it up 180%. Later on, the
store marked it down 50%, What was the final discount price?
First, let's calculate the store's selling price after marking up the swing set by 180%:
Selling price = Cost price + Mark up
Selling price = $90 + (180% of $90)
Selling price = $90 + $162
Selling price = $252
So the store's selling price for the swing set was $252.
Next, the store marked it down by 50%, which means the new selling price is:
New selling price = Selling price - (50% of Selling price)
New selling price = $252 - (50% of $252)
New selling price = $252 - $126
New selling price = $126
Therefore, the final discount price of the swing set is $126.
Зr — Зу = — 18
9x — 6y= — 48
Please help!
Answer:
The answer should be (-4,2)
Step-by-step explanation:
Which Event Has Exactly 12 Outcomes A.) Tossing A Coin And Randomly Choosing One Of The 4 Different Cards B.) Rolling A Number Cube With Sides Labeled 1-6 And Then Rolling The Number Cube Again C.) Tossing A Coin 6 Times D.) Rolling A Number Cube With Sides Labeled 1-6 And Tossing A Coin
Solution for A student at a local community college has an internship at a nearby hospital with Dr. Dynamite. The doctor sometimes uses the patient's body surface area to calculate how much medicine he she should receive. The formula for the body surface area is the following where w=weight (in .lbs). h=height (in. cm), and BSA is measure square meters: BSA= √wh/3600
Part 1: If patient Z weights 240 pounds and has a height of 183 cm, what is his/ her BSA.
Pat 2: If patient Y weights 185 pounds and has a BSA of 2 √2m^2, what would be his/her height.
Part 3: Using the BSA formula, solve for w , the weight.
Answer:
3.49285 for part 1
Step-by-step explanation: