Answer:
5.35
Step-by-step explanation:
Hope that helps you
a science class has two times as many girls as it has boys. a. Describe possible numbers of boys and girls in the science class.
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 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.
(8x²-1) (3x²-4x+5) standard form
Answer:
24x⁴ - 32x³ + 37x² + 4x - 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(8x² - 1)(3x² - 4x + 5)
Step 2: Expand
Distribute/FOIL: 24x⁴ - 32x³ + 40x² - 3x² + 4x - 5Combine like terms: 24x⁴ - 32x³ + 37x² + 4x - 5Find the slope of the passing line through the points (-4,7) and (-9,4)
Answer:
m = 3/5
Step-by-step explanation:
Answer:
m = 3/5
Step-by-step explanation:
[tex]\frac{7-4}{-4-(-9)} = \frac{3}{5}[/tex]
Find the x-amd y-intercepts of the equation x-y=1
Answer:
x=9
y=8
Step-by-step explanation:
x-y=1
x=9
y=8
9-8=1
Mohan has starts his Shop,during the first month following events that take place.
I. Mohan start business with cash Rs. 50,000, goods Rs. 10,000 and furniture Rs. 1,000.
II. Purchased goods for cash Rs. 30,000
III. Purchased goods on credit Rs. 20,000
IV. Sold goods (cost Rs. 10,000) for Rs. 12,000
V. Bought furniture on credit Rs. 2,000
VI. Paid cash to a creditor Rs. 15,000
VII. Sold goods to Sohan costing Rs. 1,500 for Rs. 1,800
VIII. Purchased household goods for Rs. 15,000, giving Rs. 5,000 in cash and balance through
a loan.
Required:
a) Analyze the transactions
a) Show the effect on accounting equation.
b) Record the transactions in journal entries
c) Post the journal entries
d) Prepares unadjusted trial balance.
Answer:
Step-by-step explanation:
He will finally have an amount of 3,500 Rupees
Solve the following inequality.
(x-2)(x– 7)<0
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.
Write an expression for the sequence of operations described below. Add 10 to 2, multiply r by the result, then raise what you have to the 8th power
Answer:
10+2×r^8 I hope this helps
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? :(
solve the following polynomial equation 8x³-8=0
Answer
brainliest?
Step-by-step explanation:
There are three solutions:
x
0
=
2
x
1
=
3
+
2
i
x
2
=
3
−
2
i
Answer:
x=1,[tex]-\frac{1-i\sqrt{3} }{2}, -\frac{1+i\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Hope this helps.
Which of the following states the conditions that the graph meets?
OX2
Ox22
Oys2
Oy22
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
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
box 1 =
box 2 =
box 3 =
Answer: 3 7 8 ?
Step-by-step explanation:
Nora is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Nora need to invest, to the nearest dollar, for the value of the account to reach $7,600 in 20 years?
Answer:
P≈3216
3216
Step-by-step explanation:
Mr. White is renting a small truck for one week and a few additional days d. He does not have to pay a per mile fee. Evaluate the expression 280+80d to find how much he will pay for a 9-day rental.
The amount of money paid for the 9-day rental will be $1000.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mr White is renting a small truck for one week and a few additional days d. He does not have to pay a per-mile fee. The expression is 280+80d.
The amount of money for a 9-day rental will be calculated as,
A = 280+80d
A = 280+(80 x 9)
A = $1000
Therefore, the amount of money paid for the 9-day rental will be $1000.
To know more about an expression follow
https://brainly.com/question/22040802
#SPJ2
Quadrilateral EFGH is inscribed in a circle as shown.
G
E
н
mZF = (4x + 10°, mZG = (2x - 5)º, and m_H = (3x - 5)°. What is the value of x?
The value of the variable 'x' will be 25. Then the correct option is B.
What is a cyclic quadrilateral?If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.
Quadrilateral EFGH is inscribed in a circle as shown. ∠F = (4x + 10)°, ∠G = (2x - 5)º, and ∠H = (3x - 5)°.
Angles ∠F and ∠H will be supplementary angles. Then the equation is given as,
∠F + ∠H = 180
4x + 10 + 3x - 5 = 180
7x = 175
x = 25
The value of the variable 'x' will be 25. Then the correct option is B.
More about the cyclic quadrilateral link is given below.
https://brainly.com/question/15061291
#SPJ2
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
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 :)
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
Solve m+7=8
What dose m =
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 = ?
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:
solve (-2x -2) + (x -5)
Answer:
x-7
Step-by-step explanation:
Hope this helps and have a great day!!!!
Answer:
-x-7
Step-by-step explanation:
Identify the x-intercept and y-intercept of the line 2x-5y=10.
A. the x-intercept is (0, -2) and the y-intercept is (5,0)
B. the x-intercept is (0, 5) and the y-intercept is (-2,0)
C. the x-intercept is (2,0) and the y-intercept is (0, -5)
D. the x-intercept is (5,0) and the y-intercept is (0, -2)
pls help this is an ixl question and it really is hard
Answer:
It would be the first one... 10:25
Step-by-step explanation:
10/4=2.5
2.5*10=25
2.5*4=10
The 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