Answer:
a) 0.5 = 50% probability that an NPN transistor will be selected.
b) 0.3333 = 33.33% probability that it came from the cabinet that contains both types
c) 66.67% probability that it comes from the cabinet that contains only NPN transistors
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.
a) What is the probability that an NPN transistor will be selected?
1/3 probability that the first cabinet is chosen. This cabinet has two transistors, both of which are NPN, so 100% probability of selecting a NPN transistor.
1/3 probability that the second cabinet is chosen. This cabinet has two transistors, both of which are PNP, so 0% probability of selecting a NPN transistor.
1/3 probability that the second cabinet is chosen. This cabinet has two transistors, one of which is NPN, so 50% probability of selecting a NPN transistor.
So
[tex]p = \frac{1}{3}*1 + \frac{1}{3}*0 + \frac{1}{3}*0.5 = \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = 0.5[/tex]
0.5 = 50% probability that an NPN transistor will be selected.
b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?
Here we use the conditional probability formula.
Event A: NPN transistor
Event B: From the third cabinet.
50% probability that an NPN transistor will be selected, so [tex]P(A) = 0.5[/tex].
1/6 probability that it is from the third cabinet and NPN, so [tex]P(A \cap B) = \frac{1}{6}[/tex]
The desired probability is:
[tex]P(B|A) = \frac{\frac{1}{6}}{0.5} = 0.3333[/tex]
0.3333 = 33.33% probability that it came from the cabinet that contains both types.
c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?
Either it comes from the cabinet with only NPN transistors, or it comes from the cabinet with both types of transistors. The sum of the probabilities of these outcomes is 100%. So
x + 33.33 = 100
x = 66.67
66.67% probability that it comes from the cabinet that contains only NPN transistors
How many blocks with dimensions of 3x1x1 can fit in a unit cube?
x
1
2
3
Ο Ο Ο Ο
6
9
Answer:
None
Step-by-step explanation:
None. A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.
On a separate sheet of paper practice drawing a 10ft. Vertical line at three different scales using American system:
1) 1/2” = 1’;
2) 1/2” = 1’;
3)1/8” = 1’;
Draw also 12m. Vertical line at three different scales using the Metric System
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
A street on a block plan is drawn at a scale of 1”=50’. When the drawing is measured with a ruler, the street is 1/2” wide. How wide is the actual street? Explain
Answer:
A street on a block plan is drawn at a scale of 1”=10’. When the drawing is measured with a ruler, the street is 5” wide. How wide is the actual street? Explain
Answer:
In your own words describe the three types of scale answer here:
En una Homs de paper separada, practique el dibujo de una linea vertical de 10 pies a tres escalate diferentes untilizando Sistema Americano:
1/2 “=1’;
1/2 “=1’;
1/8 “=1’;
Dibuja tamben una linea vertical de 12m. A tres escalas diferentes untilizando el Sistema Metrico:
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
Una Calle en un plano de bloque se dibuja a una escala de 1 “=50 cuando el dibujo se mide con una regal, la calle tiene 1/2 “de ancho qué anchura real tiene la Calle? Explique
Una Calle en un Plano de bloque se dibuja a una escala de 1 “= 10 cuando el dibujo de mide con una regal, la Calle tiene 5 “ de ancho qué anchura real tiene la Calle? Explique
En sus palabras descibe las tres tipos de escala.
Escribe Aqui:
Help me
Answer:
Step-by-step explanation:ok
The doctor prescribes Sam a 140 ml bottle of medicine with the instructions to take 5 ml twice a day. How long does the medicine last? Show your solution
Answer:
14 days
Step-by-step explanation:
14
A srtuv
B srvut
C vrust
D rsvut
Answer:
B. srvut
Step-by-step explanation:
To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.
Hope this helps :)
the ratio of the base to the leg of an isosceles triangle is 2:7. if the perimeter of the triangle is 304 feet, find the length of the base
Step-by-step explanation:
I hit a expected tomorrow:No for completion of a
The required base of the isosceles triangle is given as 38 feet.
What is the isosceles triangle?A triangle with two sides and two congruent angles is called an isosceles triangle.
here,
For a given isosceles triangle,
side/base = 2 / 7
side = 2/7 base = 7 /2 sides
According to the question,
The perimeter of the triangle is 304 feet,
2 side + base = 304
2 [7/2 base] + base = 304
8 base = 304
base= 304 / 8
base = 38 feet
Thus, the required base of the isosceles triangle is given as 38 feet.
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A principal of $7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)
Answer:
$2,874.19
Step-by-step explanation:
Hope this helps
George walks to a friend's house.
Answer:
George is a good friend :)
Step-by-step explanation:
17
Select the correct answer from the drop-down menu.
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as
x+2x+6 < 50, where x represents the smaller number.
From the set {13, 14, 15, 16, 17), the values of x for which the inequality holds true are
Reset
Next
Answer:
13 and 14
Step-by-step explanation:
From the inequality
x + 2 x + 6 < 50
we work out the answer for x isolating it on one side of the inequality as shown below
3 x + 6 < 50
3 x < 50 - 6
3 x < 44
x < 44/3 ≅ 14.6666...
Therefore, select from the set the numbers: 13 and 14.
(0,7)(6,-3) find the slope
Answer:
-5/3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 -7)/(6-0)
= -10 / 6
= -5/3
How to convert 2 years 4 months to years
Answer:
2 1/3 years
Step-by-step explanation:
4 months = 1/3 years
2 + 1/3 = 2 1/3 years
Answer:
2.25 years
Step-by-step explanation:
WHAT IS 3³ . (12 - 2) ÷ 2?
Answer:
if the period is a multiplication sign then its 135
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
following the PEMDAS rule, of course
Please help this question finding a side on a triangle
Answer:
The side of the hypotenuse is 12.233 centimeters.
Step-by-step explanation:
The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:
[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.
Then, we clear the variable within (1):
[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]
[tex]x = 13.233\,cm[/tex]
The side of the hypotenuse is 12.233 centimeters.
what is -11/40 - 0.278 in decimal form
(pls this is due tmr)
Answer:
-0.553
Step-by-step explanation:
First we convert the fraction into a decimal: -11/40 = -0.275
Then, add both numbers because when you subtract a negative from a positive, you are basicaly adding the numbers.
-0.275- 0. 278= -0.553
Have a great day!
what is the answer to this image
Answer:
A
Step-by-step explanation:
You are wayyyy to young to be on this site. I mean... 5TH GRADE!!!!
Describe, in words, how the figure at the right was translated.
Answer:
8 up, 6 left
Step-by-step explanation:
Locate any point from triangle A and go up 8 steps to get on the same level as triangle A'. Then, move to the left 6 steps.
The graph translated 6 unit left and 8 unit upward.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, A figure "A" that translated at different position in cartesian plane.
Since, A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape.
Thus, we can observe only one point on the figure and calculate the movement of the figure.
Lets focus on the left bottom corner of the figure.
It moves from the coordinates (1, -5) to the coordinates ( -5, 3)
Since Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis
So, we can say it translated to the lefty by 6 unit.
Same it goes with vertical translation.
Therefore, The graph translated 6 unit left and 8 unit upward.
Learn more about coordinates here:
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Christine has her own dog-walking business. She charges her customers $20 per day to walk their dog.
Make a table to show how much she earns for walking 1 to 8 dogs.
Please help me !
Answer:
Number of dogs (x) | Amount charged to walk a dog (y)
1 | 20
2 | 40
3 | 60
4 | 80
5 | 100
6 | 120
7 | 140
8 | 160
Step-by-step explanation:
Charge for walking a dog = $20 per dog
Number of dogs = x
Amount charged to walk a dog in a day = y
Unit rate = 20
Equation to represent this is: y = 20x
Let's use this to form a table for walking 1 to 8 dogs:
For 1 dog (x):
y = 20(1) = $20
For 2 dogs (x):
y = 20(2) = $40
For 3 dogs(x):
y = 20(3) = $60
For 4 dogs:
y = 20(4) = $80
And so on till we get to tl8 dogs.
This, we should have the following table:
Number of dogs (x) | Amount charged to walk a dog (y)
1 | 20
2 | 40
3 | 60
4 | 80
5 | 100
6 | 120
7 | 140
8 | 160
find the values of x and y
Answer:
x = 79 y = 22
Step-by-step explanation:
x would be the same as the other side so 79 * 2 would be 158. A whole triangle is 180. 180 - 158 = 22
Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.
Answer:
Step-by-step explanation:
1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval
Step-by-step explanation:
1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval
Answer:
As per the graph we have:
1: the range
[-4, +∞)2: positive interval
(-∞, 1) ∪ (5, +∞)3: increasing interval
(3, +∞)4: maximum point
Undefined5: domain
x = (-∞, +∞)6: decreasing interval
(-∞, 3)7: negative interval
(1, 5)F(x)=(x-7)^2-64
Please help
Answer:
x-intercepts/ roots= (-1,0), (15,0)
f(0)= -15 (y-intercept)
Axis of symmetry: x = 7
Vertex: (7, -64)
Domain: All real numbers
Range: [-64, infty)
i will give brainliest and also 10$
33.85 or 32.75 sorry if I am wrong
Step-by-step explanation:
for this one you have you multiply 17 by itself like this 17x17=289 but you also have to do it with the 28 to like this 28x28=784, now what you do it add up the 289+784=1,073 then you square root 1,073 which gives you 32.75 round it to the nearest tenth of needed so your will be between 33.85 or 32.75
write a word problem that can be modeled by the equation x + 5 = 12
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.
Answer:
x = 54
Step-by-step explanation:
Since both triangles are similar, therefore,
[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]
[tex] \frac{77}{66} = \frac{63}{x} [/tex]
[tex] \frac{7}{6} = \frac{63}{x} [/tex]
Cross multiply
[tex] 7*x = 63*6 [/tex]
[tex] 7x = 378 [/tex]
Divide both sides by 7
x = 54
[tex]5 \frac{5}{6} - 1 \frac{1}{4} = [/tex]
The answer is
[tex] \frac{55}{12} [/tex]
and in mix fraction it will be
[tex]4 \frac{7}{12} [/tex]
and in decimal form,
[tex]4.583333[/tex]
[tex]answer \: = 4 \frac{7}{12} [/tex]
Way to do5⅚ - 1¼ =
35/6 - 5/4 =
140/24 - 30/24 = 110/24 = 4 14/24 = 4 7/12
Help please someone
Answer:
60°
Step-by-step explanation:
the relationship between angle RST and its arc TR is:
2m∠(RST)=m(arcTR);
using this formula m∠(RST)=0.5*m(arcTR);
m∠(RST)=60°
Answer:
<S = 60
Step-by-step explanation:
The arc TR and the central angle (T to the center then to R ) are equal.
So the Central angle is 120o
S anywhere on the minor arc is 1/2 the central angle.
<S = 1/2 120
<S = 60
Which graph represents the solution to this inequality? 16x-80x<37+27
Answer:
The answer for this would be B.
Of the flowers in Bella’s garden, 5/8 are tulips. What percent of the flowers in the garden are tulips?
Answer:
62.5
Step-by-step explanation:
Vectors x and y have lengths 18 and 24 respectively, and the cosine of the angle between them is StartFraction 5 Over 9 EndFraction. Find the scalar projection of x onto y and their dot product.
Answer:
xy = 10
x · y = 240
xy = 10
x · y = 240
It is indeed correct on Edge 2021
Answer:
10
240
Step-by-step explanation:
Edge 2021
can someone please help me
Answer:
AB = 10
CW = 8
angle BAD = 50
angle CDB = 65
angle DWA = 90
angle WCD = 25
Step-by-step explanation:
use the known facts that a rhombus = 360 degrees, pythagorean theorem, etc. if you want a full explanation lmk and i can edit my response
1/3 of 5/8 as a fraction
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
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