The value of function f(5) is 8.
What do you mean by function?A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
The general representation of a function is y = f(x).
Injective function or One to one function: When there is mapping for a range for each domain between two sets.
Surjective Function or Onto function: When there is more than one element mapped from domain to range.
Polynomial function: The function which consists of polynomials
Inverse function: The function which can invert another function.
Given:
x with entries -4, -1, 3 and 5.
f(-4) = 2
f(-1) = 5
f(3) = 4
f(5) = 8
The value of f(5) is 8.
To know more about Function visit:
brainly.com/question/12431044
#SPJ1
Answer: f(5) is -8
Step-by-step explanation:
took the quiz
What is another way to make 2.98?
Choose 1 answer:
B
1 one +8 tenths +18 hundredths
1 one 19 tenths 8 hundredths
1 one +10 tenths 8 hundredths
Answer:
Below
Step-by-step explanation:
1 + 19/10 + 8/100 = 1 + 1.9 + .08 = 2.98
you shuffle a standard deck of cards, then draw four cards.(a) what is the probability all four are the same suit? (b) what is the probability all four are red? (c) what is the probability each has a different suit?
a) Probability that all four are the same suit = 0.0106 b) Probability that all four are red =0.055 c) Probability each has a different suit = 0.105
Total number of cards =52
No. of cards for each suit =13
Total types of four suit =4 (heart, spades, diamonds, clubs)
Total numbers of ways = [tex]^{52}C_4[/tex] =270,725 ways
a) number of ways choosing four cards of the same suit
= [tex]^{13}C_4+^{13}C_4+^{13}C_4+^{13}C_4[/tex]
= [tex]4 \times ^{13}C_4\\[/tex]
= [tex]4 \times \frac{13!}{4!(13-4)!}[/tex]
=2860 ways
Probability that all four are the same suit is 2860/270,725 = 0.0106
b) Number of ways all four cards are red
=[tex]^{26}C_4[/tex]
= 4,950 ways
Probability that all four are red = 4950/270,725 =0.055
c) Number of ways each card has a different suit
=[tex]^{13}C_1\times^{13}C_1\times^{13}C_1\times^{13}C_1[/tex]
= 28,561 ways
Probability each has a different suit is 28561/270725 = 0.105
To know more about probability
https://brainly.com/question/11092157
#SPJ4
с A F E 2x In the diagram above JED= 27°." 1) Calallate I G B солав, angle angle EG B
Angle A is 27 degrees, angle B is 75 degrees then the angle C is 78 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let the triangle be ABC.
The angle A is 27 degrees.
The angle B is 75 degrees,
We need to find the angle of C
From Angle sum property the sum of three angles is 180 degrees.
∠A+∠B+∠C=180
27+75+∠C=180
102+∠C=180
∠C=78 degrees.
Hence, angle A is 27 degrees, angle B is 75 degrees then the angle C is 78 degrees.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ9
Complete Question below:
In Triangle ABC, angle A is 27 degrees, angle B is 75 degrees then the angle C?.
1) Write the equation of the line passing through point P with slope m, if
a) P(1,4) and m = 3
c) P (3,0) and m = −1
b) P(-1,-2) and m = 4
d) P(0,0) and m = -5
Answer:
a) y - 4 =3(x - 1)
b) y + 2 = 4(x+ 1)
c) y = -(x - 3)
d) y = -5x
Step-by-step explanation:
You did not say which form, so I put them in the point-slope form of a line that follows the pattern:
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(a)
given m = 3 , then
y = 3x + c ← is the partial equation
to find c substitute (1, 4 ) into the partial equation
4 = 3(1) + c = 3 + c ( subtract 3 from both sides )
1 = c
y = 3x + 1 ← equation of line
(b)
given m = 4 , then
y = 4x + c ← is the partial equation
to find c substitute (- 1, - 2 ) into the partial equation
- 2 = 4(- 1) + c = - 4 + c ( add 4 to both sides )
2 = c
y = 4x + 2 ← equation of line
(c)
given m = - 1 , then
y = - x + c ← is the partial equation
to find c substitute (3, 0 ) into the partial equation
0 = - 3 + c ( add 3 to both sides )
3 = c
y = - x + 3 ← equation of line
(d)
given m = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (0, 0 ) into the partial equation
0 = - 5(0) + c = 0 + c ⇒ c = 0
y = - 5x ← equation of line
please answer asap i need helpp
Answer:
110°
Step-by-step explanation:
]%}}%¶¢{^[€{¢¶¢¶€¶
Answer: 110˚
Step-by-step explanation:
Complementary angles have a sum of 90˚
With this knowledge, we can say <B = 90 - <A = 90 - 20 = 70˚
Supplementary angles have a sum of 180˚
With this knowledge we can say <C = 180 - <B = 180 - 70 = 110˚
∴ Measure of angle C = 110˚
A plane is flying at a speed of 175 miles per hour.
The pilot plans on flying at this speed for the next
250 miles, plus or minus 25 miles. Find
the minimum and maximum number of hours th
plane will travel at that speed.
The maximum number of hours is 1.6 hours and the minimum number of hours is 1.6 hours.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, a plane is flying at a speed of 175 miles per hour.
The distance covered by the pilot, d = 250 ± 25 miles
We know that, speed = Distance/Time
The equation for the maximum number of hours is given as;
175 =(250+25)/t
t=275/175
t=1.6 hours
The equation for the minimum number of hours is given as;
175 =(250-25)/t
175=225/t
t=225/175
t=1.3 hours
Therefore, the maximum number of hours is 1.6 hours and the minimum number of hours is 1.6 hours.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
#SPJ9
a poll is given, showing 61% are in favor of a new building project. let x be the number of people who favor the new building project when 25 people are chosen at random. what is the distribution of x? x ~ ? (,) please show the following answers to 4 decimal places. what is the probability that exactly 16 people out of 25 favor the new building project? what is the probability that at least 16 people out of 25 favor the new building project? what is the probability that at most 16 people out of 25 favor the new building project? what is the probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project?
The probability that exactly 16 people out of 25 favor the new building project is 0.1285.
The probability that at most 16 people out of 25 favor the new building project is 0.3528.
The probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project is 0.9088.
A binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has two possible outcomes (success or failure) and the trials are independent.
The distribution of x, the number of people who favor the new building project when 25 people are chosen at random, can be modeled using a binomial distribution.
In this case, the probability of success (favoring the new building project) is 0.61, and the probability of failure (not favoring the project) is 0.39. The number of trials is 25, since we are choosing 25 people at random.
Thus, we can write x ~ Bin(25, 0.61), which means that x follows a binomial distribution with 25 trials and a probability of success of 0.61.
To find the probability that exactly 16 people out of 25 favor the new building project, we can use the binomial probability formula:
[tex]P(X = k) = (^n_k) * p^k * (1 - p)^{n - k}[/tex]
where X is the random variable (in this case, the number of people who favor the project), k is the number of successes we are interested in (in this case, 16), n is the number of trials (25), p is the probability of success (0.61), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.
Plugging in the values, we get:
P(X = 16) = (25 choose 16) * 0.61¹⁶ * 0.39⁹ = 0.1285
Therefore, the probability that exactly 16 people out of 25 favor the new building project is 0.1285.
To find the probability that at least 16 people out of 25 favor the new building project, we need to add up the probabilities of all the events where the number of successes is 16 or greater. We can do this using the cumulative distribution function (CDF) of the binomial distribution, which gives us the probability of X being less than or equal to a certain value.
Using a calculator or a table, we can find that P(X ≥ 16) = 0.3528.
Therefore, the probability that at least 16 people out of 25 favor the new building project is 0.3528.
To find the probability that at most 16 people out of 25 favor the new building project, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring). In this case, the complement event is the number of people who favor the project being greater than 16.
Using the same CDF, we can find that P(X > 16) = 0.6472. Therefore,
P(X ≤ 16) = 1 - P(X > 16) = 1 - 0.6472 = 0.3528
We can do this using the binomial probability formula for each possible value of k, and then summing the results.
P(12 ≤ X ≤ 19) = P(X = 12) + P(X = 13) + ... + P(X = 19)
Using a calculator or a table, we can find the probabilities for each value of k, and then add them up:
P(12 ≤ X ≤ 19) = 0.0309 + 0.0746 + 0.1322 + 0.1821 + 0.2001 + 0.1821 + 0.1322 + 0.0746 = 0.9088
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
Amir notices that 3 out of every 50 cars that pass by his window
are green. If he observes 400 cars, what is the best estimate for how
many of them will be green?
Answer:
24 cars are green
Step-by-step explanation:
We know
Amir notices that 3 out of every 50 cars that pass by his window are green.
So, the ratio is 3:47
To get from 50 to 400, we time 8.
If he observes 400 cars, what is the best estimate of how many will be green?
We take
3 x 8 = 24 cars are green
So, there will be 24 cars that are green.
A pyrotechnician plans for two fireworks
to explode together at the same height In the air. They travel
at
speeds shown below. Firework B is launched 0.25 s before Firework A. How many seconds after
B Firework B launches will both fireworks explode?
Firework A
Firework B
340 ft/s
260 ft/s
The mentioned scenario can be calculated using the distance equation, the number of seconds in which explosion would occur is 1.125 seconds.
What is the relationship between time, speed and distance ?The distance covered by the object is equal to the product of the speed of object and the time required for it.
Distance = Time x speed
Firework A :
D = 360xt - - - (1)
Firework B:
D = 280x(0.25) + 280xt
D= 70 + 280xt - - - (2)
Equate equation (1) and (2) :
360t = 280t + 70
Collect like terms
360t - 280t = 70
80t = 70
t = 70/80
t = 0.875 seconds
0.875 + 0.25 = 1.125 seconds
Hence, the fireworks will explode after 1.125 seconds of launching Firework B.
To know more about time, speed & distance check: brainly.com/question/7287026
#SPJ9
903-814 with solution
Answer:
89
Step-by-step explanation:
903 - 814 =
= (900 + 3) - (800 + 14) =
= 900 + 3 - 800 - 14 = 100 - 11 =
= 89
How many 200 mL glasses can be filled using a 2.2 L bottle of cola?
Answer:
11 glasses
Step-by-step explanation:
There are 200 ml glasses and we have 2.21 liter of bottels. So first of all covert liter into ml so we get 2210 ml of coca cola.now divide 2210 by 200 so we get 11 glasses
An expression is given.
Which expression is equivalent to the given expression?
A
−13x+12-13x+12−13x+12
B
10x2−7x−1210x^2-7x-1210x
2
−7x−12
C
10x2−23x+1210x^2-23x+1210x
2
−23x+12
D
7x2−23x−77x^2-23x-77x
2
−23x−7
The equation -13x+12-(-13x+12)-13x+12 = -13x+12 is equivalent to the given expression that is -13x+12.
10x^2 - 23x + 12 = (5x - 3)(2x - 4) = 0
So the solutions to the equation are x = 3/5 or x = 2.
Therefore, this expression is not equivalent to -23x + 12 for all values of x.
10x^2 - 7x - 12 = 0 can be factored as (2x - 3)(5x + 4) = 0.
So the solutions to the equation are x = 3/2 or x = -4/5.
Therefore, this expression is not equivalent to -7x - 12 for all values of x.
-13x+12-(-13x+12)-13x+12 = -13x+12
-13x+12 = -13x+12
This expression is equivalent to -13x+12 .
7x^2 - 23x - 77 = (7x + 11)(x - 7) = 0
So the solutions to the equation are x = -11/7 or x = 7.
Therefore, this expression is not equivalent to -23x - 7 for all value x.
The given expressions of each case are not equivalent to the given equations for all values of x, except −13x+12-(-13x+12)-13x+12 = -13x+12 which is equivalent to -13x+12 .
To know more about Equations:
https://brainly.com/question/8743486
#SPJ4
______The given question is incorrect, the correct question is given below:
An expression is given on equation
Which expression is equivalent to the given expression of each case
?
A
10x2−23x+1210x^2-23x+1210x = −23x+12
B
10x2−7x−1210x^2-7x-1210x = −7x−12
C
−13x+12-(-13x+12)-13x+12 = -13x+12
D
7x2−23x−77x^2-23x-77x = −23x−7
Find y in equilateral AABC. (A) 90° (B) 70° (C) 60° (D) 45°
Variable y in equilateral 60°, Thus correct option is C) 60°.
What does an equilateral triangle mean?An equilateral triangle is one with equal-sized sides on all three sides and angles that can all reach a maximum of 60 degrees. An equilateral triangle is a triangle with three equal sides, also referred to as a "regular" triangle. Since all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle. Three equal angles of 60 degrees also make up an equilateral triangle.
The sum of all the angles in a triangle is 180.
It is given that the triangle ABC is an equilateral triangle.
So ∠A+∠B+∠C =180°
∠A=B=∠C
3∠A=180°
∠A=60°
Therefore y in ΔABC is C) 60°
To learn more about equilateral triangles, refer to the link below:
brainly.com/question/17264112
#SPJ1
Calculate the area of a four-sided regular pyramid if its base edge is a=10cm, and its side edge is b=12cm.
The area of a four-sided regular pyramid, given the base edge and the side edge is 340 cm ² .
How to find the area ?The area of a four-sided regular pyramid can be found by the formula :
= Area of base + 1 / 2 x perimeter of base x side edge
Area of base :
= 10 x 10
= 100 cm ²
Perimeter of base ;
= 10 + 10 + 10 + 10
= 40 cm
The area of the four-sided regular pyramid is;
= 100 + ( 1 / 2 x 40 x 12 )
= 340 cm ²
Find out more on the area of a pyramid at https://brainly.com/question/22744289
#SPJ1
Factorise 3y²+12y ‼️‼️‼️
Answer:
3y(y + 4)
Explanation:
[tex]3y^{2} + 12y\\3(y^{2} + 4y)\\3y(y + 4)\\[/tex]
7 plums cost 63p
5 limes cost 60p
work out the cost of 1 plum
The cost of one plum in pence is 9p. The cost of 1 lime in pence is 12p.
Comparing the cost plum is cheaper.
The cost of 1 plum can be found by dividing the total cost of 7 plums by 7:
63 p / 7 = 9 p
Therefore, the cost of 1 plum is 9 p.
The cost of 1 lime can be found by dividing the total cost of 5 limes by 5:
60 p / 5 = 12 p
Therefore, the cost of 1 lime is 12 p.
Comparing the costs of 1 plum and 1 lime, we see that 1 plum costs 9 p and 1 lime costs 12 p. Therefore, the plum is cheaper per item.
To know more about Cost:
https://brainly.com/question/30147827
#SPJ4
____The given question is incomplete, the complete question is given below:
A grocery shop sells plums and limes. 7 plums cost 63 p. 5 limes cost 60p a) Work out the cost of 1 plum, in pence (p).
b) Work out the cost of 1 lime, in pence (p).
c) Which type of fruit is cheaper per item?
A car traveled at an average speed of 100 KM per hour for 5 hours and consumed fuel at a rate
of 13 KM per liter. What is the approximate cost of 5-hour trip if the price of fuel is R78 per liter?
The approximate cost of 5-hour trip if the price of fuel is R78 per liter by finding the average speed is R3000.68.
To find the the total distance travelled by the car in 5 hours at an average speed of 100 km/h is:
Distance = Speed x Time
Distance = 100 km/h x 5 h
Distance = 500 km
The total amount of fuel consumed during the trip is:
Fuel consumed = Distance / Fuel efficiency
Fuel consumed = 500 km / 13 km/l
Fuel consumed = 38.46 liters (rounded to two decimal places)
The cost of the fuel consumed during the trip is:
Cost of fuel = Fuel consumed x Price per liter
Cost of fuel = 38.46 liters x R78/liter
Cost of fuel = R3000.68 (rounded to two decimal places)
Therefore, the approximate cost of the 5-hour trip is R3000.68, assuming that the only cost incurred is for the fuel consumed during the trip.
To know more about average speed:
https://brainly.com/question/28741251
#SPJ4
Rewrite the equation in Ax+By = C form.
Use integers for A, B, and C.
y-2=-5(x-3)
Answer:
5x + y = 17
Step-by-step explanation:
y -2 = -5(x -3)
y-2 = -5x + 15 Add 5x to both sides
5x + y - 2 = 5x - 5x + 15
5x + y - 2 = 15 Add 2 to both sides
5x + y + 2 - 2 = 15 + 2
5x + y = 17
Given that the roots of the equation x^2-8x+k=0 satisfy 3x+4x=29, find k
a = 1st zero or root of the quadratic
b = 2nd zero or root of the quadratic
[tex]x^2-8x+k=0\implies (x-a)(x-b)=0\implies x= \begin{cases} a\\ b \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -ax-bx=-8x\implies -a-b=-8\implies -b=a-8\implies b=8-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{3a+4b=29}\qquad \implies \qquad \stackrel{\textit{substituting from above}}{3a+4(8-a)~~ = ~~29}\implies 3a+32-4a=29 \\\\\\ -a+32=29\implies 32=a+29\implies \boxed{3=a}\hspace{5em}\stackrel{ 8~~ - ~~3 }{\boxed{b=5}}[/tex]
[tex]~\dotfill\\\\ (x-3)(x-5)=0\implies x^2-8x+\stackrel{ \textit{\LARGE k} }{15}=0[/tex]
These tables represent the relationships between x and y for two different sets of data. Which statements correctly describe the relationships between x and y for each table? Table A represents a multiplicative relationship because y is 2.5 times x, O and Table B represents an additive relationship because y is 2 more than O X. Table A represents an additive relationship because y is 1.5 more Othan x, and Table B represents a multiplicative relationship because y is 3 times x. Both data sets represent multiplicative relationships. In Table A, y is 2.5 times x, and in Table B, y is 3 times X. Both tables represent additive relationships. In Table A, y is 1.5 more than x, and in Table B, y is 2 more than x.
Answer:
Both data sets represent multiplicative relationships. In Table A, y is 2.5 times x, and in Table B, y is 3 times X
Step-by-step explanation:
Self-explanatory
Every value of y in Table A is 2.5 times x value
and
every value of y in table B is 3 times x value
You are using a recipe to bake some
cookies. The recipe calls for the following
ingredients:
3 3/4 cups flour
1 1/4 cups brown sugar
2 eggs
1/4 teaspoon salt
1/3 teaspoon baking soda
1 1/4 butter
1 1/2 cups white sugar
You've decided to only make 1/2 a batch.
How much of each ingredient do you need?
The required measurement of the ingredient has been shown below for half a batch of cookies.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
When making 1/2 a batch of the cookie recipe, you will need to halve the amount of each ingredient.
Here is the list of ingredients for half a batch:
1 7/8 cups flour
5/8 cup brown sugar
1 egg
1/8 teaspoon salt
1/6 teaspoon baking soda
5/8 cup butter
3/4 cup white sugar
Thus, the required measurement of the ingredient has been shown above for half a batch of cookies.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ1
Solve for X
This was on a Geometry Honors quiz
The value of x in the triangle is 8 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, the sides x of the triangle can be found using proportion as follows:
x / x + 8 = x + 8 / 32
cross multiply
32x = (x + 8)(x + 8)
32x = x² + 8x + 8x + 64
x² + 16x - 32x + 64 = 0
x² - 16x + 64 = 0
Therefore,
x² - 16x + 64 = 0
x² - 8x - 8x + 64 = 0
x(x - 8) - 8(x - 8) = 0
(x - 8)(x - 8) = 0
Therefore,
x = 8
learn more on similar triangle here: brainly.com/question/888590
#SPJ1
How do you factor with a leading coefficient greater than 1?
Factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique or quadratic formula.
Factoring a polynomial with a leading coefficient greater than 1 can be more challenging than factoring a polynomial with a leading coefficient of 1. However, there are several methods and techniques that can be used to factor such polynomials.
One common method for factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique. This involves grouping the terms of the polynomial in pairs and factoring out the greatest common factor of each pair.
The resulting expressions can then be further factored or combined to obtain the final factorization of the polynomial.
Another method for factoring polynomials with a leading coefficient greater than 1 is to use the quadratic formula, which can be used to find the roots of a quadratic polynomial. Once the roots are found, the polynomial can be factored as a product of linear factors.
In some cases, it may also be helpful to use a combination of these techniques, along with other algebraic manipulations, such as completing the square or long division.
Overall, factoring a polynomial with a leading coefficient greater than 1 may require more patience and creativity than factoring a polynomial with a leading coefficient of 1, but with practice and persistence, it is possible to develop the skills and techniques needed to factor such polynomials efficiently and accurately.
To learn more about factoring click on,
https://brainly.com/question/30331732
#SPJ4
Phillips company bought 40 percent ownership in jones bag company on january 1, 20x1, at underlying book value. During the period of january 1, 20x1, through december 31, 20x3, the market value of phillips' investment in jones' stock increased by $2,000 each year. In 20x1, 20x2, and 20x3, jones bag reported the following: Year Net Income Dividends
20X1 $ 8,000 $15,000 20X2 12,000 10,000 20X3 20,000 10,000 The balance in Phillips Company’s investment account on December 31, 20X3, was $54,000.
Required:
In each of the following independent cases, determine the amount that Phillips paid for its investment in Jones Bag stock assuming that Phillips accounted for its investment by carrying the investment at fair value, or using the equity method.
Fair value $
Equity method $
The initial investment cost using the equity method would be:
Investment account balance + Phillips' share of retained earnings = Initial investment cost = $54,000 + $10,400 = $64,400
Fair Value Method:
The cumulative increase in fair value over the three years would be:
$2,000 + $2,000 + $2,000 = $6,000
Therefore, the initial investment cost would be:
$54,000 - $6,000 = $48,000
Equity Method:
By the equity method, Phillips would have recorded its share of Jones Bag's earnings each year, as well as its share of dividends received. Phillips' share of Jones Bag's earnings and dividends would be based on its 40% ownership interest.
Phillips' share of Jones Bag's earnings and dividends would be as following:
Year Earnings Dividends
20X1 $3,200 $6,000
20X2 $4,800 $4,000
20X3 $8,000 $4,000
$40,000 - $14,000 = $26,000
Phillips' share of retained earnings would be 40% of $26,000, or $10,400.
To know more about Investment:
https://brainly.com/question/17252319
#SPJ4
solve the equation 4x+2y-8=0
Answer:
X=0
Y=4
Step-by-step explanation:
4X+2y-8=0
2y=4x+8
y=2x+4
Substituting y in the equation
4x+2(2x+4)-8=0
4x+4x+8-8=0
8x=0
X=0
Substituting in equation y=2x+4
y=2(0)+4
Y=4
% of $52 = $39 ?
Complete the following statement. Write your answer as a decimal or whole number.
Answer:
75%
Step-by-step explanation:
If you have a calculator, you can divide 39/52. If not,
39/52 = x/100
52x = 3900
x = 75
75/100 = 75%
each of two persons tosses three fair coins. what is the probablity they obtain same number of heads
The probability of obtaining the same number of heads is 3/8 or 0.375 when each of two persons tosses three fair coins.
The probability that two persons will obtain the same number of heads depends on the number of possible combinations of heads and tails that can be obtained by each person.
Since each coin flip results in either a heads or tails, there are 2 possible outcomes for each flip. Therefore, for three coin flips,
there are 2^3 or 8 possible combinations of heads and tails.
Out of these 8 combinations, there are 3 in which both persons have the same number of heads (i.e., 0 heads, 1 head, or 3 heads).
So, the probability of obtaining the same number of heads is 3/8 or 0.375.
Learn more about probability :
https://brainly.com/question/30034780
#SPJ4
Solve: s=4+sqrrt s+2
s = 2
s = 7
s = 2 or s = 7
no real solution
There is no real solution to the given equation s = 4 + sqrt(s+2) with value of s = 2, s = 7, s = 2 or s = 7.
To solve the equation:
s = 4 + sqrt(s+2)
We can start by isolating the square root term on one side:
s - 4 = sqrt(s+2)
Then, we can square both sides to eliminate the square root:
(s - 4)^2 = s + 2
Expanding the left side:
s^2 - 8s + 16 = s + 2
Bringing all terms to one side:
s^2 - 9s + 14 = 0
We can solve for s using the quadratic formula:
s = (9 ± sqrt(9^2 - 4(1)(14))) / 2(1)
s = (9 ± sqrt(49)) / 2
s = (9 ± 7) / 2
So the two possible solutions are:
s = 8/2 = 4
s = 2/2 = 1
However, we need to check if these solutions satisfy the original equation.
If we plug s=4 into the equation, we get:
4 = 4 + sqrt(4+2)
4 = 4 + sqrt(6)
This is not true, since the right-hand side is greater than the left-hand side.
If we plug s=1 into the equation, we get:
1 = 4 + sqrt(1+2)
1 = 4 + sqrt(3)
This is also not true.
Therefore, there is no real solution to the equation s = 4 + sqrt(s+2).
To know more about Equations:
https://brainly.com/question/30066982
#SPJ4
Answer:
B
Step-by-step explanation:
how many sides does a polygon have if the sum of the interior angles is 3960
A polygon with a sum of interior angles of 3960 has 22 sides.
The sum of the interior angles of a polygon can be calculated using the formula:
(n-2) * 180
where n is the number of sides of the polygon. This formula is derived from the fact that the total degree measure of a polygon is equal to the sum of the degree measures of its interior angles. In a polygon with n sides, there are n angles, each measuring 180 degrees. So the total degree measure of a polygon with n sides is n * 180.
Now, if we subtract the degree measures of two angles, we are left with the sum of the degree measures of the remaining n-2 angles. This is why the formula for the sum of the interior angles of a polygon is given as (n-2) * 180.
To find the number of sides of a polygon given its sum of interior angles, we can rearrange the formula as follows:
n = (Sum of interior angles / 180) + 2
So, if the sum of the interior angles is given as 3960, we can plug that into the formula:
n = (3960 / 180) + 2
n = 22
Therefore, a polygon with a sum of interior angles of 3960 has 22 sides.
To learn more about polygon please click on below link.
https://brainly.com/question/18487663
#SPJ4
How many sides does a polygon have if the sum of the interior angles is 3960?
PLS HELP!!! I NEED IT FOR LESS THAN 20 MINUTES
Answer:
51 stamps
Step-by-step explanation:
since salman's amount is going from 5 to 45 its being multiplied by nine. to keep the ratio true, you need to multiply the other two numbers by 9 too. Nathan then has 12 stamps and Gordon has 63. 63-12=51
