A = 1/2ha +1/2hb solve for b
Answers
Answer:
A=1+1+2ha+2hb
A=2+2ha+2hb
A=2ha+2+2hb
A=4ha+2hb
4 = 4
A=½
Related Questions
a scarf is made of 65% cotton.If the scarf weighs 18 ounces,then how much cotton is in the scarf( STEPS PLEASEE)
Answers
Answer: 11.7 ounces
Step-by-step explanation:
65% of 18 is:
0.65*18=11.7
Therefore, the answer is 11.7 ounces.
Answer:
There are 11.7 oz of cotton in this scarf.
Step-by-step explanation:
The scarf weighs 18 oz. We are told that 65% of the makeup of the scarf is cotton. To determine how much cotton is in the scarf, we multiply the scarf's full weight, 18 oz, by 0.65 (0.65 is the decimal fraction equivalent of 65%):
0.65(18 oz) = 11.7 oz
There are 11.7 oz of cotton in this scarf.
(1) Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S=74; X=70;T=6 months; σ2=.50 Rf=10% (2) What is the intrinsic value of the call? (3) What stock price is necessary to break-even? 4 If volatility were to decrease, the value of the call would (5 If the exercise price would increase, the value of the call would ? 6 If the time to maturity were 3-months, the value of the call would ? 77 If the stock price were $62, the value of the call would ? 8 What is the maximum value that a call can take? Why?
Answers
(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.
(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.
(4) If volatility were to decrease, the value of the call would decrease.
(5) If the exercise price would increase, the value of the call would decrease.
(6) If the time to maturity were 3-months, the value of the call would decrease.
(7) If the stock price were $62, the value of the call would be zero.
(8) The maximum value that a call option can take is unlimited.
In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:
C = S*N(d1) - X*e^(-rT)*N(d2)
where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.
Using the given values, we can calculate d1 and d2:
d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))
= [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))
= 0.9827
d2 = d1 - σ2T^(1/2) = 0.7327
Using these values, we can calculate the value of the call option:
C = S*N(d1) - X*e^(-rT)*N(d2)
= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)
= $7.70
The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.
If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.
If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.
The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.
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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a queen and then without replacement a face card?express your answer as a fraction or decimal rounded to four decimal places
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
total cards = 52
Step 02:
probability:
p(event) = favorable outcomes / total outcomes
total cards = 52
total queens = 4
total face cards = 12
first event (queen):
p(queen) = 4 / 52
second event (face card):
without replacement
p(face card) = 11 / 51
total probability (queen and face card):
\(p(queen\text{ }and\text{ }face\text{ }card)=\frac{4}{52}*\frac{11}{51}=\frac{44}{2652}=0.0166\)The answer is:
p (queen and face card) = 0.0166
write the general conic form equation of each circle:
(x+12)^2 + (y+5)^2 =9
(x-12)^2 + (y-5)^2 =10
thanks!
Answers
The general conic form equations of each circle (x+12)² + (y+5)² =9 and (x-12)² + (y-5)² =10 are x²+y²+24x+10y+160=0 and x²+y²-24x-10y+159=0.
What is the equation of a circle?General conic form of Equation of a Circle:
The general equation of any type of circle is represented by: x² + y² + 2gx + 2fy + c = 0, for all values of g, f and c.
Where (g, f) is the center and c is the radius.
We have two equations;
(x+12)² + (y+5)² =9 ........(1)
(x-12)² + (y-5)² =10........(2)
Now, equation 1:
(x+12)² + (y+5)² =9
x²+24x+144 +y²+10y+25 =9
x²+y²+24x+10y+144 +25 -9 =0
x²+y²+24x+10y+160=0
Now, equation 2:
(x-12)² + (y-5)² =10
x²-24x+144 +y²-10y+25 =10
x²+y²-24x-10y+144 +25 -10=0
x²+y²-24x-10y+159=0
After comparing both equation's result to the standard form,
we get the required result.
Therefore, x²+y²+24x+10y+160=0 and x²+y²-24x-10y+159=0 are the general conic form equation of each circle.
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he - Venn diegram below describes the probablity of students who wlll lake Chem istry = and Spanish at Jafferson High School next year; Where A Student takes chemistry and B Students takes Spanish_ Suppose one student Is chosen at random Use Ihe above vann dlagram . Find the value of P(A L 8) and describe In words. a.) 0.6; The probability that the student takes both chemistry and Spanish. b.) 0.1; The probability that the student takes both chemistry and Spanish_ c.) 0.1; The probability that the student takes either chemistry or Spanish; bul not both. d.)0.6; The probability that the student takes either chemistry or Spanish, or both.
Answers
From the Venn diagram , the value of required probability P(A∪B) is given by :
Option a). 0.6 . The probability that students takes both Spanish and Chemistry.
Let us consider 'A' be the probability of the students who takes Chemistry.
And 'B' be the probability of the students who takes Spanish.
From the Venn diagram we have,
Probability of A 'P(A) ' = 0.2 + 0.1
= 0.3
Probability of B 'P(B)' = 0.3 + 0.1
= 0.4
Probability of A∩B 'P(A∩B)' = 0.1
Probability of A∪B is given by :
P(A∪B) = P(A) + P(B) - P(A∩B)
Substitute the value we get ,
⇒ P(A∪B) = 0.3 + 0.4 - 0.1
⇒ P(A∪B) = 0.6
P(A∪B) represents the probability of the students that takes both Chemistry and Spanish.
Therefore, the value and explanation of P(A∪B) is equal to :
Option a). 0.6 , the probability of the students that takes both Chemistry and Spanish.
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The above question is incomplete , the complete question is:
The - Venn diagram below describes the probability of students who will take Chemistry and Spanish at Jefferson High School next year, where A Student takes chemistry and B Students takes Spanish. Suppose one student is chosen at random Use the attached Venn diagram .
Find the value of P(A∪B) and describe in words.
a.) 0.6; The probability that the student takes both chemistry and Spanish.
b.) 0.1; The probability that the student takes both chemistry and Spanish.
c.) 0.1; The probability that the student takes either chemistry or Spanish; but not both.
d.)0.6; The probability that the student takes either chemistry or Spanish, or both.
Venn diagram is attached.
Please help me with this equation... can you also please show your work? thank you.
Answers
Answer:
41
Step-by-step explanation:
7 × 9 - 34 + 24 ÷ 2
63 - 34 + 12
41
Which problem situation can be represented by this inequality? 25 + 12.50c ≥ 22.50c − 95 A Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $22.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total? B Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $22.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $12.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total? C Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor purchased a vintage comic book from the store for $95.00 and then purchased c more comic books for $22.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total? D Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $22.50 each and then spent $25.00 on a comic book portfolio. Victor purchased a vintage comic book from the store for $95.00 and then purchased c more comic books for $12.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total?
Answers
The problem situation that can be represented by this inequality is A. Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $22.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total?
How to illustrate the information?It should be noted that an inequality is used to illustrate the expressions that are not equal.
In this case, it should be noted that the inequality given is illustrated as 25 + 12.50c ≥ 22.50c − 95.
Therefore, the information that illustrates this is that Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $22.50 each.
In conclusion, the correct option is A.
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Solve the following equationX-3(x+2)=4 X - 3 ( x + 2 ) = 4
Answers
Given: X-3(x+2)=4X-3(x+2)=4
Find: the solution of the given equation
Explanation:
\(\begin{gathered} X-3(x+2)=4 \\ X-3x-6=4 \\ X-3x=10......................(1) \\ 4X-3(x+2)=4 \\ 4X-3x-6=4 \\ 4X-3x=10...........................(2)\text{ } \end{gathered}\)on solving equation (1) and (2) , we get
Answer:
x = -5
Step-by-step explanation:
Solve for 'x':x - 3(x + 2)= 4
x - 3x - 3*2 = 4 {Distributive property}
x - 3x - 6 = 4
Combine like terms in LHS,
-2x - 6 = 4
Add 6 to both sides,
-2x = 4 + 6
-2x = 10
Divide both sides by (-2)
x = 10 ÷ (-2)
\(\sf \boxed{x= -5}\)
plz help :-)
The perimeter of an equilateral triangle is 9n - 12. Write an expression to represent the length of each side.
Answers
Answer:
\(9n - 12 \rightarrow \frac{1}{3} (9n - 12) \\ = \frac{3}{3} (3n - 4) \\ l = 3n - 4\)
The perimeter of an equilateral triangle is 9n - 12. Write an expression to represent the length of each side.
Solution:The perimeter of an equilateral triangle is 9n - 12.We know, perimeter of a triangle is the sum of the three sides of the triangle.Also, in an equilateral triangle, all the sides are equal.Therefore, the length of each side of the triangle
\( = \frac{9n-12}{3} \\ = \frac{3(3n - 4)}{3} \\ = 3n - 4\)
Answer:The length of each side of the triangle is 3n-4.
Hope it helps!!
PLEASE HURRY!!
Which equation requires the multiplication property of equality to be solved?
A. 6 a = 420
B. a + 6 = 420
C. a/6 = 420
D. a minus 6 = 420
Answers
The equation that requires the multiplication property of equality to be solved is:
\(\boxed{\sf \dfrac{a}{6}=420}\)
What is the multiplication property of equality?Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.
The multiplication property states that:
If a = b, then a · c = b · cOut of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.
That is:
\(\text{If} \ {\sf \dfrac{a}{6}=420}\)
\({\sf \dfrac{a}{6}\times6=420\times6\)
\(\sf a=2520\)
Hence, the equation that requires the multiplication property of equality to be solved is:
\({\sf \dfrac{a}{6}=420}\)
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in a household, a business is run for an average of 6 hours per day. the total power consumed by a computer and its printer is 230 watts. in addition, a 100-w light bulb runs during the same 6 hours. if their utility charges 11.75 cents per kwh, how much do the owners pay every 30-days?
Answers
The amount that the owners will pay every 30 days is $6.98.
The total electricity consumed per hour equals power consumed by computers and printers plus light.The total electricity consumed per hour is 230 watts plus 100 watts.The total electricity consumed per hour equals 330 watts per hour.The total monthly electricity consumption equals total monthly electricity consumption * 6 hours * 30 daysThe total electricity consumed per month equals 330 watts x 6 hours x 30 days.The total electricity consumed is 59,400 wattsThe total electricity consumed is 59.4 kwhThe monthly electric bill equals the total electricity consumed multiplied by the utility charges per kwh.The monthly electric bill equals 59.4 kwh x 11.75 cents.The monthly electric bill is 697.95 cents.The monthly electric bill is $6.98.Therefore, the amount that the owners will pay every 30 days is $6.98.To learn more about power, visit :
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You have $3.50 made up in quarters and nickels. In total, you have 26 coins. How many of each coin do you have?
Answers
Answer:
15 nickels and 11 quarters
urgent !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The answer is in the picture. Also the working out is.
If a binomial trial has a probability of success of 0.5, how many successes
would you expect out of 2000 trials?
OA. 1400
B. 600
O C. 1000
D. 1800
Answers
The expected number of successes in 2000 trials with a probability of success of 0.5 is 1000. option C
To determine the expected number of successes in a binomial trial with a probability of success of 0.5 and 2000 trials, we can use the formula for the expected value of a binomial distribution.
The expected value (E) of a binomial distribution is given by the formula:
E = n * p
Where:
E is the expected value
n is the number of trials
p is the probability of success
In this case, we have n = 2000 and p = 0.5. Substituting these values into the formula, we get:
E = 2000 * 0.5
E = 1000
Therefore, the expected number of successes in 2000 trials with a probability of success of 0.5 is 1000.
Based on the options provided:
Option A suggests 1400 successes, which is greater than the expected value of 1000.
Option B suggests 600 successes, which is less than the expected value of 1000.
Option C suggests 1000 successes, which matches the expected value of 1000.
Option D suggests 1800 successes, which is greater than the expected value of 1000.
Among the given options, the closest one to the expected value of 1000 is Option C, which suggests 1000 successes. Therefore, Option C is the correct answer.
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what will be the value of k so that the equation \(kx^{2} -4x+1\) has two equal roots (same roots)
Answers
The value of k so that the equation has two equal roots is 4
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the value of k in the equation?The quadratic equation is given as
kx^2 - 4x + 1
A quadratic equation is represented as
ax^2 + bx + c
This means that
a = k, b = -4 and c = 1
When the equation has equal roots, we have
b^2 = 4ac
So, we have
(-4)^2 = 4 * k * 1
Evaluate
k = 4
Hence, the value of k is 4
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What is the value of the account after 8 years, if interest is being paid at 2.3%, if no
other deposits or withdrawals are made? Write answer with just numbers, do not
type $ or use commas. Round to the nearest hundredth.
Answers
The value of the account after 8 years, if no other deposits or withdrawals are made is $1199.51
Calculating the amount after eight yearsTo calculate the value of an account after a certain period of time with a fixed interest rate, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount in the account
P = the initial amount or principal
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time period (in years)
Plugging in the values into the formula, we get:
A = 1000(1 + 0.023/1)^(1*8)
Evaluate
A = 1199.51
Therefore, the value of the account after 8 years with an interest rate of 2.3%, assuming an initial investment of $1,000 and no other deposits or withdrawals, is approximately $1199.51.
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Which expression represents the number -2i(5- i) + (17- 8i) rewritten in a + bi
form?
O 15-18i
O 15-2i
O 19 - 18i
O 11 + 8i
Answers
Answer:
(a) 15 -18i
Step-by-step explanation:
You want the simplified form of the expression -2i(5- i) + (17- 8i).
Complex numbersFor many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.
-2i(5- i) + (17- 8i) = -10i +2i² +17 -8i
= -2 +17 +(-10 -8)i
= 15 -18i
__
Additional comment
Your scientific or graphing calculator can probably help you evaluate such expressions.
i need help this is dude tomorrow
Answers
Answer:
The answer will be 10 , the last item .
What is the surface area of the sphere
O 36T Square units
O 114 square units
O 144n square units
O 576n square units
Answers
Answer:
144 π³
Step-by-step explanation:
Area of a sphere = 4 π r²
in this case, r = 6π
so, Area of THIS sphere = 4 π (6π)² = 4 . 36 π³ = 144 π³
Answer:
144 pi^3 sq units
Step-by-step explanation:
quiere cercar con alambre un terreno rectangular que mide 180 m (metros) de largo por 85 m de ancho.¿cuantos metros de alambre necesita? ¿Con qué concepto matemático relacionas esta situación?
You want to wire a rectangular piece of land that is 180 m (meters) long by 85 m wide. How many meters of wire do you need? With what mathematical concept do you relate this situation?
Answers
Answer:
The wire required to fence is 530 m.
Step-by-step explanation:
Length, L = 180 m
Width, W = 85 m
The perimeter of the wire is
P = 2 (L + W)
P = 2 (180 + 85)
P = 530 m
So, the wire required to fence is 530 m.
BOTH A & BA 5-card hand is drawn from a deck of standard playing cards.(a)How many 5-card hands have at least one club?(b)How many 5-card hands have at least two cards with the same rank?
Answers
a. There would be 2,023,203 5-card hands have at least one club.
b. There would be 1,329,168 5-card hands have at least two cards with the same rank
(a) To find the number of 5-card hands with at least one club, we can find the total number of 5-card hands and subtract the number of 5-card hands with no clubs.
Total number of 5-card hands = C(52,5) = 2,598,960
Number of 5-card hands with no clubs = C(39,5) = 575,757
So, the number of 5-card hands with at least one club = 2,598,960 - 575,757 = 2,023,203.
Therefore, there are 2,023,203 5-card hands with at least one club.
(b) To find the number of 5-card hands with at least two cards with the same rank, we can use the principle of inclusion-exclusion.
Number of 5-card hands with at least one pair = C(13,1) × C(4,2) × C(12,3) × C(4,1)³
Number of 5-card hands with at least two pairs = C(13,2) × (C(4,2))² × C(11,1) × 4
Number of 5-card hands with at least three of a kind = C(13,1) × C(4,3) × C(12,2) × (C(4,1))²
Number of 5-card hands with at least one four of a kind = C(13,1) × C(4,4) × C(12,1) × C(4,1)
So, the total number of 5-card hands with at least two cards with the same rank = Number of 5-card hands with at least one pair + Number of 5-card hands with at least two pairs + Number of 5-card hands with at least three of a kind + Number of 5-card hands with at least one four of a kind
= (13 × 6 × 220 × 256) + (78 × 6 × 11 × 4) + (13 × 4 × 66 × 256) + (13 × 1 × 12 × 4)
= 1,098,240 + 13,728 + 216,576 + 624
= 1,329,168.
Therefore, there are 1,329,168 5-card hands with at least two cards with the same rank.
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Given v =(-12,-4), what are the magnitude and direction of v? Round the magnitude to the thousandths place and the direction to the nearest degree.
11.314; 18°
11.314; 198°
12.649; 18°
12.649, 198°
Answers
Step-by-step explanation:
Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649
Angle = arctan(-4/-12) = 198 degrees
The Magnitude: 12.649 and Direction: 18° (option c).
To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:
Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)
Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)
where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.
Let's calculate:
Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)
Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°
Since we need to round the direction to the nearest degree, the direction is approximately 18°.
So, the correct answer is:
Magnitude: 12.649 (rounded to the thousandths place)
Direction: 18° (rounded to the nearest degree)
The correct option is: 12.649; 18°
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mr patels home heating system uses oil at the beginning of december there was 500 litres of oil in his tank in anticipation of winter he bought enough oil to fill the tank completely the oil cost 60p per liter and he pain a total amount of 900 at the begining of feb had 300 leters oil left in his tank again he bought enough to fill it completly the cost of ail had incest by 5% work out te totle of the oil cost in feb
Answers
Answer:
£756
Step-by-step explanation:
To fill the tank completely, Mr. Patel needed:
500 liters initially + (total capacity of the tank - 500 liters) = 500 + (tank capacity - 500) = tank capacity
To find the tank capacity, we need to know how many liters of oil Mr. Patel bought initially:
Total cost of oil bought initially = 900
Cost per liter of oil = £0.60
Number of liters of oil bought initially = 900 / 0.60 = 1500
Therefore, the tank capacity is:
500 + (tank capacity - 500) = 1500
Tank capacity - 500 = 1000
Tank capacity = 1500 liters
At the beginning of February, Mr. Patel had 300 liters of oil left in his tank, so he needed to buy:
1500 - 300 = 1200 liters of oil
The cost of oil had increased by 5%, so the cost per liter was:
£0.60 + (£0.60 x 0.05) = £0.63
Therefore, the total cost of the oil in February was:
1200 x £0.63 = £756
what is the answer help!!1!!!!111!!
Answers
Answer:
15x
Step-by-step explanation:
50x - 35x= 15x
15x = 375
And if you simply further
375/15=25
So x=25
Answer:
15x = 375
Step-by-step explanation:
50x = 35x + 375
50x - 35x = 375 (we place 35x in the left side of the equation, because the left side is for x's, and the right one is for basic numbers. Since it is a positive number in the right side, in the left side it becomes an opposite number, so it will -35x)
15x = 375 / : 15 (we subtract 35x from 50x)
x = 25
Find the distance between the following points:
A(9,2) and B(3,6).
Answers
Answer:
d = 2\(\sqrt{3}\)
Step-by-step explanation:
\(d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}\)
b. Are the event of having a license and the event of being an adult independent events? Justify your answer.
Answers
The probability of having a license would be affected by the probability of being an adult.
Given that we need to determine if the event of having a license and the event of being an adult independent event,
The event of having a license and the event of being an adult may or may not be independent events, depending on the specific context and circumstances.
To determine if two events are independent, we need to check if the occurrence or non-occurrence of one event affects the probability of the other event.
For example, let's consider a scenario where having a license refers to possessing a valid driver's license, and being an adult means being at least 18 years old. In many jurisdictions, obtaining a driver's license is typically age-dependent, where individuals can only acquire a license once they reach a certain age (e.g., 16 or 18 years old).
In this case, the events of having a license and being an adult are likely not independent. Being an adult is a prerequisite for obtaining a license in this context.
Therefore, the probability of having a license would be affected by the probability of being an adult.
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The data set shows the ages of members in a book club. What is the club's median age? 32 19 61 26 38 26 55 37 26 34.5 36.75
Answers
Step-by-step explanation:
with the population size being 11 the median is 34.5
How do you write an equation for a parabola with the vertex and Y intercept?
Answers
To write an equation for a parabola with the vertex and y-intercept, the equation of vertex form y=a(x-h)^2+k is used.
What is a parabola?
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
Consider an example where vertex is (2,1) and y-intercept is (0,-3).
The equation of parabola needs to be deduced using these points.
The equation of a parabola in vertex form is -
y=a(x-h)^2+k
Here, a is a constant and (h ,k) are the coordinates of the vertex.
So, (h,k)=(2,1)
⇒y=a(x−2)^2+1
To obtain the value of a, substitute (0,−3) into the equation -
-3=4a+1
4a=-4
a=-1
⇒y=-1(x−2)^2+1
Now, distribute and simplify -
y=-1(x−2)^2+1
y=-(x^2-4x+4)+1
y=-x^2+4x-4+1
y=-x^2+4x-3
On, graphing this equation a parabola is obtained.
Therefore, to write an equation of parabola vertex form is used.
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Find the Area of the figure below, composed of a rectangle and one semicircle, with
another semicircle removed. Round to the nearest tenths place.
18
14
:C
PLEASE HELP 10 POINTS !!!!!!!!
Answers
Answer:
112
Step-by-step explanation:
8*14=112
3.14*4²=50.24
50.24/2=25.12
112-25.12+25.12=112
if the columns of an n × n matrix a are linearly independent as vectors in ℝn, what is the rank of a?
Answers
The rank of a matrix is the number of linearly independent columns or rows in the matrix.
What is the rank of the matrix ?If the columns of an n × n matrix A are linearly independent as vectors in ℝn, then the rank of A is n. This is because linearly independent vectors are not multiples of each other, and therefore do not reduce to a smaller set of linearly independent vectors when the matrix is put in reduced row echelon form. As a result, the rank of the matrix is equal to the number of columns, which is n. Therefore, the rank of A is n.
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