In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?
Answers
Answer:
161700 ways.
Step-by-step explanation:
The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
3 transistors from a set of 100. So
[tex]C_{100,3} = \frac{100!}{3!(100-3)!} = 161700[/tex]
So 161700 ways.
Related Questions
Jane has 5.8 pints of juice.
Tim has 8.4 pints of juice.
About how many pints do they have ir
all?
Answers
Answer:
144 cups-14 pints
Step-by-step explanation:
What is the image of (-9,0) after a reflection over the x-axis?
Answers
Answer:
(-9, 0)
Step-by-step explanation:
When a point is reflected over the x-axis, the x-coordinate stays the same but the y-coordinate turns into its opposite. So, the x-coordinate would stay as -9. Because zero is neither negative nor positive, it doesn't have an opposite. So, the y-coordinate would still be 0.
Need to do this Help please
Answers
Answer:
Step-by-step explanation:
Now e have two figures
1 is ABCD and other is APQD ,
Now to find g and f,
Now the are both figure is ,
Area = length * width
Area ABCD = 39 cm^2
AB* BC = 39
(g+7) * ( f) = 39Again,
Area APQD = AP*QD= 16 cm ^2
(g)*(f)=16from here f =16/g putt it in above equation we get ,
(g+7)*16/g = 39
16*g-39*g+96 =0
-23g +96 = 0
g = 96/23
g =3 cm
Now for f putt in one of the above equation ,
f =16/3
f =5.33 cm
Answer:
f = 3cm g = 6cm
Step-by-step explanation: to find f
Subtract the area of APQD from ABCD then divide by 7
f = (39 - 18)/7
f = 21/7
f = 3
To find g, divide the area of APQD by 3
18/3 = 6
We can do this because of the givens: ABCD is a rectangle, PQ is parallel to AD, so BC=AD=PQ
Help me out with one as well too please
Answers
Answer:
107° is answer
x+73=180(cointerior angle)
x=180-73=107°
The present age of Andy and Mike are in the ratio 5:3. If Andy had been 7 years older and Mike 7 years younger, the age of Andy would have been 3 times the age of Mike. Find their present age
Answers
Answer: Andy is 35 and Mike is 21.
Step-by-step explanation:
Andy’s present age: Mike’s present age
= 5:3
Andy’s age in “if”: Mike’s age in “if”
=6:2
1 unit = 7
5 unit = 35 (Andy’s age)
3 unit = 21 (Mike’s age)
Five increased by the quotient of x and six is what?
Answers
Answer:
[tex]5+\frac{x}{6}[/tex]
Step-by-step explanation:
When we say the quotient of x and six, that means x divided by 6, or x/6, and since is says 5 is increased by this amount, we must add x/6 to 5 and get 5+x/6.
Answer:
i think 6 is divider
6 divide by a one number it give as 5
Multiply. Give your answer in lowest terms.
3 8
4 11
Answers
Answer:
6
11
Step-by-step explanation:
-x²-2x+7=-17 help lol
Answers
In this diagram, two perpendicular lines and two rays intersect at point T. What is the measure, in degrees, of angle QTR?
A. 24
B. 28
C. 32
D. 48
Answers
Answer:
QTR = 24
Step-by-step explanation:
Since lines are perpendicular the total sum is 90 for all three angles
90=42+2x+x
48=2x+x
48=3x
16=x
QTR=2x=2(16)=32
Write an equation of the line that passes through the pair of points.
(0, – 4), (5, – 4)
Answers
Answer:
[tex]y = -4[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0, -4)[/tex]
[tex](x_2,y_2) = (5, -4)[/tex]
Required
Determine the equation
First, calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]
[tex]m = \frac{-4 +4}{5}[/tex]
[tex]m = \frac{0}{5}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_2[/tex]
This gives:
[tex]y = 0(x - 0)-4[/tex]
[tex]y = 0-4[/tex]
[tex]y = -4[/tex]
29x+2=31
Giving brainliest if do correct..
Explanation also or reported
Answers
Answer:
x = 1
Step-by-step explanation:
29x + 2 = 31
-2 -2
29x = 29
----- -----
29 29
x = 1
You earn $42 for washing 7 cars. How much do you earn for washing one car? How much do you earn for washing 3 cars? How much do you earn for washing 5 cars?
Answers
Answer:
1 car = $6 ; 3 car = $18 ; 5car = $30
Step-by-step explanation:
$ 42 = 7 cars
so 1 car = $42÷7 = $6
so 3 cars = 3 × $6 = $18
so 5 cars = 5 × $6 = $30
Hope this helps you.
Is it the 2nd and 3rd one? I don't entirely understand
Answers
Answer:
Statements 1, 2, or 4 each imply a rectangle. Check all three.
Step-by-step explanation:
Whats is the slope of line that is perpendicular to the line y= -9x + 7
Answers
Answer: 1/9
Step-by-step explanation:
The slope of this line is -9. The slope of the perpendicular line is the opposite reciprocal. The reciprocal of -9 is -1/9, the opposite of that is 1/9
Dory lives 2.5 miles from school. Jim lives 3.2 kilometers from school. Ely lives 2300 meters from school, and Chris lives 3000 yards from school. Which lists the students from closest to farthest from school? (1 mi = 1.61 km; 1 m = 1.09 yd; 1 km = 1000 m) *
Answers
Step-by-step explanation:
olum herşey ingilizce normal mi bu ağaağagagâ
4 cm What is the volume of this prism? 6 cm 10 cm
Answers
Answer:
240 cm³
Step-by-step explanation:
Volume = lwh
10cm • 6cm • 4cm
10cm • 24 cm²
240 cm³
Translate the sentence into an equation. Five more than the quotient of a number and 6 is equal to 2. Use the variable w for the unknown number.
Answers
Answer:
The equation that represents the sentence is W + 6 + 5 = 2.
Step-by-step explanation:
Since it is required to propose an equation that reflects that five more than the quotient of a number and 6 is equal to 2, using the variable W for the unknown number, the following equation must be performed to determine what the unknown number is:
W + 6 + 5 = 2
W = 2 - 5 - 6
W = -9
Therefore, the unknown number is -9.
Use addition and subtraction to simplify (3x^2- 3x + 6 ) - (5x^2+2x + 9)
Answers
Answer:
-2x² - 5x - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(3x² - 3x + 6) - (5x² + 2x + 9)
Step 2: Simplify
[Distributive Property] Distribute negative: 3x² - 3x + 6 - 5x² - 2x - 9[Subtraction] Combine like terms (x²): -2x² - 3x + 6 - 2x - 9[Subtraction] Combine like terms (x): -2x² - 5x + 6 - 9[Subtraction] Combine like terms (Z): -2x² - 5x - 3Reduce/Simplify the fraction in its lowest terms.
24/48
Answers
[tex] \frac{24}{48} [/tex]
To find:The lowest term of the given fraction by simplifying.
Solution:[tex] \frac{24}{48} [/tex]
[tex] = \frac{24 \div 24}{48 \div 24} [/tex]
[tex] = \frac{1}{2} [/tex]
Please find the value of x
Answers
Answer: x = 118
Step-by-step explanation:
Find the slope of the line.
Slope = type your answer...
Answers
Answer:
slope= (-1)
...................
Find the solution of the system of equations.
10x – 2y = 44
-2x - 9y = 10
Answers
Answer:
Merhaba, siz kanadada İngilizcem konuşuyoruz vay canına sjsjs
Answer:
10x=44+2y
x=44+2y/10.....eq(i)
-9y=10+ 2x
-Y=10+2X/9....eq(ii)
Then solve by eq(i) and eq(ii)
The volume of a cylinder is 225π cm³ and its height is 9 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.
cm
Answers
Answer:
5cm
Step-by-step explanation:
Given data
volume = 225π cm³
Height= 9cm
r= ???
Volume of cylinder
v=πr^2h
substitute
225π= π*r^2*9
225= r^2*9
r^2= 225/9
r^2= 25
r= √25
r= 5cm
Hence the radius is 5cm
Evaluate the following expression for b = -10.
2 (b - 5) + 4
Answers
Answer:
−26 and (−1)×2×13=-26
Step-by-step explanation:
2(−10−5)+4
Subtract 5 from −10 to get −15.
2(−15)+4
Multiply 2 and −15 to get −30.
−30+4
Add −30 and 4 to get −26.
−26
Answer:
-26
Step-by-step explanation:
We substitute b for -10, so 2 ((-10) - 5) + 4
Using PEMDAS, we do the parenthesis first: 2 ((-10) - 5) + 4 = 2 (-15) + 4
Then we multiply: 2 (-15) + 4 = (-30) + 4
And finally, we add: (-30) + 4 = -26
What is the total surface area of the square pyramid in square inches?
Height is 11 in. Base is 7 in. Side Length is 11.5
PLEASE DO THIS QUICKLY
Answers
Answer:
Step-by-step explanation:
I assume that "side length" means the slant height of one of the triangular faces.
area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in
lateral area = all four triangles = 161 in²
base area = 7² = 49 in²
total surface area = lateral area + base area = 161+49 = 210 in²
The area of the pyramid is 1.4625 ft²
What is a Square Pyramid?If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8
Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.
The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:
SA = BA + (4 × FA)
=[tex]a^2+a\sqrt{a^2+4h^2}[/tex]
Where a= base length and height = h
Thus inputting the values we get
SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]
=49+7√533
=210.60 in²
Thus in ft.² we have 1.4625 ft²
Learn more about the pyramid here:
https://brainly.com/question/13057463
#SPJ6
When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your friend has rigged up some fireworks to be set off when you win. When you win, he sets off the fireworks every time. When you don't win, he accidentally sets off the fireworks 10% of the time. If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
Answers
Answer:
0.2275 = 22.75% probability that you actually won that round
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Fireworks going off
Event B: You won
Probability of fireworks going off.
100% of 1/35 = 0.0286(when you win)
10% of 34/35 = 0.9714(you lost). So
[tex]P(A) = 0.0286 + 0.1*0.9714 = 0.12574[/tex]
Probability of you winning and fireworks going off:
100% of 1/35, so [tex]P(A \cap B) = 0.0286[/tex]
If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275[/tex]
0.2275 = 22.75% probability that you actually won that round
A truck driver drove 13 hours and earned $520. What is the hourly rate?
Answers
Answer:
$40
Step-by-step explanation:
520/13=40
Answer:
Step-by-step explanation:
[tex]\frac{\$ 520}{13hr}=\$40/hr[/tex]
If you are making a cake for a work potluck, and the recipe calls for 2 cups of flour to serve 8 people, how many cups of flour will you need in order to make a large enough cake to serve 30 people?
Answers
Answer:-
7.5 cups of flour is required for 30 people
Step-by-step explanation:-
2 cups = 8 people
x cups = 30 people
[ Cross multiply ]
=> 2×30 = x × 8
=> (2 × 30)/8 = x
=> 60/8 = x
=> 7.5 cups = x
Thus, for 30 people 7.5 cups of flour is required.
Hope this helps you.
A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
the box that will have minimum surface area.
Answers
We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.
Therefore the box has length and breadth as 4 ft each and a height of 2 ft.
Use the table to write a linear function that relates Y to X
Answers
Answer:
y = 3/4x + 10
Step-by-step explanation:
The equation of a line is y = slope * x + y-intercept
To find the slope, you choose two points and do (y1-y2)/(x1-x2): Point 1 can be (4,13) and point 2 can be (8,16) so, slope = (13-16)/(4-8) = -3/-4 = 3/4
The y-intercept is the value of y when x is 0, so it would be 10.
Put it together and you get y = 3/4x + 10