answer and explanation are in the picture.
An electronics hobbyist has three electronic parts cabinets with two drawers each.
One cabinet has NPN transistors in each drawer, while a second cabinet has PNP transistors in each drawer. The third cabinet has NPN transistors in one drawer and PNP transistors in the other drawer. The hobbyist selects one cabinet at random and withdraws a transistor from one of the drawers.
a) What is the 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?
c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?
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
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Like normal, explain your answer and work.
Answer:
A. AB/BC = FE/EDStep-by-step explanation:
Parallel lines divide the transversals proportionally.
Correct choice is A only, the other options concern the parallel lines themselves:
A. AB/BC = FE/EDThe angles of a triangle add up to 180 degrees.
The second angle is 20 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)
Answer: 32 degrees
Step-by-step explanation:
small angle : x
middle angle: x + 20
large angle: 3x
Form an equation: 5x + 20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32
Help help this is 10 points
Answer:
The anwser you are looking for is number 2
Step-by-step explanation:
Solve m+7=8
What dose m =
i need help with this down below
Answer:
hi the answer is elven twelths or 11/12
Step-by-step explanation:
first you multiply 1/8 x 2/3 which is 1/12 +5/6= 11/ 12. because you cant simplify it anymore
hope this help
an electric wire which is 0.12 m long is cut into 3 pieces of the same length.How long is each pieces?
Answer:
0.04m
Step-by-step explanation:
0.12/3=0.04
Answer:
Step-by-step explanation:
Total length of a wire = 0.12 m
If the wire is divided into 3 equal pieces then
Length of each piece
= 0.12 / 3
= 0.04 m
hope it helps :)
Paisley has an action figure collection. She keeps 72 of the action figures on her wall,
which is 45% of her entire collection. What is the total number of action figures in
Paisley's collection?
Answer pls I will mark brainliest
Answer:
160
Step-by-step explanation:
Which of the following states the conditions that the graph meets?
OX2
Ox22
Oys2
Oy22
Camille has already baked 1 cake, and she can bake 2 cakes with each additional stick of butter she buys. Write an equation that shows the relationship between the number of additional sticks of butter and the number of cakes y
Answer:
1+2x=y
Step-by-step explanation:
X: Number of sticks
Y= number of cakes
There is already one cake, so you must add one to the equation. You multiply x by two since 1 stick of butter (x) makes two cakes.
Solve 15 < 4x on a number line
Answer:
that shall answer 15 < 4x on a number line
Step-by-step explanation:
view image for more clarity
please look at the photo below or above
Answer:
[tex]Opposite =- \frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]Number = \frac{4}{5}[/tex]
Required
Determine its opposite
To get the opposite of a number, we simply subtract it from 0.
So, we have:
[tex]Opposite =0 - \frac{4}{5}[/tex]
[tex]Opposite =- \frac{4}{5}[/tex]
Hence, the opposite is -4/5
9(2+2p) show distributive property
Answer:
9(2+2p)
9 x2 + 9 x 2p
18 +18p
Write the word sentences as an equation. Then solve the equation.
13 subtract from a number w is 15
An equation that represent this word sentences is ?
The solution is w = ?
Find the value of x in the following parallelogram: 3 5x - 6 3x-2 x = [?] Enter
Answer:
66
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
Find the missing side lengths. Leave your answers as radicals in simplest form
30°
X
10V3
y
Answer:
x=20
y=10
Step-by-step explanation:
so as you can see this is a 30-60-90 triangle this means that y is opposite the 30 degree angle so it is 10 root three divided by root three so it is ten and x is 2y=20
help me please I need this done I've been stuck on it for a while!
Answer:
Step-by-step explanation:
5 * 2^2*5 + 2^4
5^2*2^2+2^4
answer is B
m∠FDC=124°; m∠EAB=2x, m∠ACG=4x. Find: x, m∠ACD
Answer:
x=28 degrees
Step-by-step explanation:
4x = 28*4 = 112
180 degrees - 112 = 68
ACD = 68
Help need to do this in 10 min
List the integers that satisfy both these inequalities.
2x + 5 < 0
x>-8
Answer:
no satisfied
Step-by-step explanation:
because of the rules
estimate the product of 26.4×2.7
Answer:..
Step-by-step explanation:
Answer:
Step-by-step explanation:
okay, 26.4*2.7 = 26*3 (when estimated)
26*3=78(or just somewhere around 70)
help me plis What is the exact measurement of the line segment? A. B. C. D.
Answer: where is the line segment
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
All I want to know is the formula and I will do the rest...pls someone help me with the formula...
Hey in this type of questions there's no formula, you need to use your logic.
#Note that the full degree or a triangle is 180°
#The L in triangle is 90°
I see that you want to try to do it by yourself, i will give you the tips. to get the <BAD
#since <DAC is 90°, The ADB is 90° (180°-90°)
<BAD = 180° - 90° - 25° = 65°
Now, try to find <BCA yourself.
Tell me if you give up, i will tell you lol.
3. An exponential expression is point
considered in its simplest form
when the following are met
EXCEPT one, which is it? *
O A. No parentheses appear.
B. No powers are raised to powers.
O c No positive exponents appear
.
O D. Each base occurs only once.
Answer: C Powers doesn't have to be negative for it to be simplified example 3^5 is simplified we don't need it to be (1/3)^(-5), its simply unnecessary.
Hello pls help me with two of these questions;)
Answer:
1-A-15
2-C
Step-by-step explanation:
7-21 is an increase by 3 times, so 5*3=15
The second is kinda blurry, so it's a little hard to explain.
the three angles of a triangle are in the ratio 1:3:5 find the angles
Answer:
The ratio 1:3:5 by doubling each number is the same as 2:6:10 and the big one 10 is 10/(2+6+10) = 10/18 of the total, so multiplying top and bottom by 10 gives 100/180, so the biggest angle is 100° since the sum of all angles must be 180°.
PLEASE HELP SOLVE THIS WUESTION SOLVE FOR y
Answer:
y = 5
Step-by-step explanation:
12^2 + y = 13^ 2
144 + y = 169
169 - 144 = 25
sqrt of 25 = 5
y = 5
Answer:
A, y=5
Step-by-step explanation:
I just did it right now
I need help with this
Answer:
5√2
Step-by-step explanation:
With reference angle 45°
perpendicular (p) = 5
hypotenuse (h) = x
sin 45 ° = p / h
1/√2 = 5 / x
x = 5√2
Juan and his sister collected 108 shells while at the beach. Of the shells they collected, 79 were white. Write and solve an equation that can be used to find how many white shells Juan and his sister collected.
Answer:
108-79=29
Step-by-step explanation:
Answer:
it literally says that 79 of dem were white lol
Step-by-step explanation:
Fill in the missing values:
a) 17 out of 85 = ? %
b) ? out of 90 = 17%
c) 1026 out of ? = 54%
d) 8.1% of 90 = ?
e) ? % of 50 = 90
f) 88% of ? = 154
a. 20%
b. 15.3
c. 1900
d. 7.29
e. 180
f. 175
Way to doa. 17 out of 85 how many percentage?
17/85 × 100 = 20%b. what is 17% of 90?
? /90 × 100 = 17? /90 = 17 : 100? /90 = 0.17? = 90 × 0.17 ? = 15.3c. 1026 out of ? = 54%
1026/? × 100 = 541026/? = 0.54? = 1026 : 0.54? = 1900d. 8.1% of 90 = ?
90 × 8.1/100 = 7.29e. ?% of 50 = 90
50 × ?/100 = 90?/100 = 90:50?/100 = 9/5? = 9/5 × 100? = 180f. 88% of ? = 154
? × 88/100 = 154? = 154 : 88/100? = 175For moderators who see this#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(
A person is walking at a rate of 9 feet every 4 seconds.
(b) Given the rate in (a), how far would this
person travel in 14 seconds
Answer:
31.5 feet
Step-by-step explanation:
2.25 feet every second