Answer:
A player can expect to win an average of 0.70 per lottery after playing the lottery sufficiently many times.
Step-by-step explanation:
The expected value for the amount of money to be won is 0.70 ;
The expected value of expected mean simply means the long run average because the expected mean refers to the average value of a random variable which is which is obtained over a large number of trials or experiment. In the case of lottery game, expected will thus be interpreted to mean the average winning (or loss) expected which a player earns or incurs after playing the lottery many times. It differs from the mean or average value earned after playing just a game or two as it refers to a long run average.
consider a population consisting of values 2, 3, 5, 7. what is the population standard deviation?
Answer:
The population standard deviation is 1.92.
Step-by-step explanation:
Population mean:
Sum of all values divided by the number of values. Thus:
[tex]M = \frac{2 + 3 + 5 + 7}{4} = 4.25[/tex]
Population standard deviation:
Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.
[tex]S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92[/tex]
The population standard deviation is 1.92.
2. On this spinner, the pointer is spun once. The colour is recorded.
The pointer is spun a second time. The colour is recorded.
a) Suppose you win if you spin the same colour on both spins.
What are your chances of winning?
b) Suppose you win if you spin two different colours.
What are your chances of winning?
Answer:
A=25% B=75%
Step-by-step explanation:
So first lets make a sample space. (Im using red, blue, green, and yellow)
rr, rb, rg, ry
br, bb, bg, by
gr, gb, gg, gy
yr, yb, yg, yy
So for A its 4/16 or 1/4=25%
For B its 12/16=3/4=75%
What is the square root of -1?
Answer: i
Step-by-step explanation:
It is imaginary, since if you try squaring numbers, ex: -1, 1,0,2 you always get a number bigger or equal to 0.
For years mathematicans argued weather the square root of -1 (or any negative number) should exist.
Then one day, a mathematician proposed a soulution, the square root of -1 could be i. Everyone liked that and so now the square root of -1 is i
what is the area, in square feet, of the figure ?
Answer:
The answer is 24
Step-by-step explanation:
The first step is to multiply 6x3=18 Then you multiply 4x3=12/2=6 Then you add 18+6=24 Your welcome :D
Quadratics by taking square roots: With Steps
Create a list of steps, in order, that will solve the following equation.
3(x + 2)2 = 48
Solution steps:
FIN
As:
Add 2 to both sides
Divide both sides by 3
MY
Multiply both sides by 3
Col
Subtract 2 from both sides
MY
Square both sides
Take the square root of both sides
Pro
Pro
Answer:
yan ata un nd ko sure hehe
What is 2/7 divided by 5/4? (No links)
Answer: 5/14
Step-by-step explanation:
An airplane travels 240 miles in 3 hours with the wind. The return trip against the wind takes 4 hours. What is the wind speed and the speed of the airplane in still air?
Answer:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600mi3hr=p−w600mi2hr=p+w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
Answer:
140miles/hour
Step-by-step explanation:
Speed of airplane + speed of wind
=240miles/3 hours + 240miles/4 hours
=80miles/hour +60miles/hour
= 140miles/hour
9×3 n =3 powered by 7 slove n
Answer:
81
Step-by-step explanation:
9 × 3n= 3^7
9×3n= 2187
27n= 2187
n= 2187/27
= 81
Hence n= 81
Solve: x^2 – 16x + 63 < 0
Answer:
7 < x < 9
Step-by-step explanation:
x^2 – 16x + 63 < 0
this is a parabola that opens up.
The parabola will be < 0 for values between the roots.
to picture this see the graph below.
Factor
(x - 7)(x - 9) < 0
Roots
x = {7, 9}
solution
7 < x < 9
A 15-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours since the candle was lit, and uppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit.
a. Write a function formula for f f(t)- [Preview] syntax error #
b. What is the domain of f relative to this contex? Enter your answer as an interval. # Preview, no answer given
c. What is the range of f relative to this context? Enter your answer as an interval *Preview no answer given
d. Solve f(t) 3.6 for it. 算 Preview
e. What does your solution in part (d) represent in this context? Select all that apply. The length of the candle (in inches) 3.6 hours after it was lit. How many bhous since the candle was lir wen i is36 mches loe OHow long it takes for the candle to burn out.
Answer:
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 \le t \le 12.5[/tex]
[tex]15 \ge f(t)t \ge 0[/tex]
The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches
Step-by-step explanation:
Given
[tex]a = 15[/tex] ---- candle length
[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)
Solving (a): The function, f(t)
This is calculated as:
[tex]f(t) = a + rt[/tex]
So, we have:
[tex]f(t) = 15 + -1.2 * t[/tex]
[tex]f(t) = 15 -1.2t[/tex]
Solving (b): The domain
The domain, in this case, represents time from 0 till the candle burns out.
Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 = 15 - 1.2t[/tex]
Collect like terms.
[tex]1.2t = 15[/tex]
Solve for t
[tex]t = 15/1,2[/tex]
[tex]t = 12.5[/tex]
Hence, the domain is: [tex]0 \le t \le 12.5[/tex]
Solving (c): The range
The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)
Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]
Solving (d): [tex]f(t) = 3.6[/tex]
Recall that:[tex]f(t) = 15 -1.2t[/tex]
Sp, we have
[tex]15 - 1.2t - 3.6[/tex]
Collect like terms
[tex]12t =15 -3.6[/tex]
[tex]12t =11.4[/tex]
Divide by 12
[tex]t =0.95[/tex]
find the consecutive odd numbers such that 6 times the smaller plus 3 times the larger comes to 105
Answer:
11 and 13
Step-by-step explanation:
let smaller odd number be x
larger odd nuber be x+2
according to the question algebraic expression can be written as
6x+3(x+2)=105
6x+3x+6=105
9x=105-6
9x=99
x=99/9
x=11
larger number=x+2
11+2
13
A sample of college freshmen was asked how many hours per week they spent playing video games. The following frequency distribution presents the results. Number of Hours Frequency - - - - - - - - - - Part 1 of 2 (a) How many classes are there
Answer:
Step-by-step explanation:
Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication.
Similarities and Differences in a Random Sample of 375 Married Couples
Number of Similar Preferences Number of Married Couples
 All four                     29
Three                     124
Two                     120
One                     66
None                     36  Â
Suppose that a married couple is selected at random.
Required:
Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common.
Answer:
P ( All four) = 29/375=0.07733
P ( Three A^) = 124/375= 0.33067
P ( Two A^) = 120/375= 0.32
P (One A^) = 66/375= 0.176
P (None A^) = 36/375= 0.096
Step-by-step explanation:
Number of Similar Preferences  Number of Married Couples
All four 29
Three 124
Two 120
One 66
None 36
Total 375
We want to determine the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common.
P ( All four) = 29/375=0.07733
P ( Three A^) = 124/375= 0.33067
P ( Two A^) = 120/375= 0.32
P (One A^) = 66/375= 0.176
P (None A^) = 36/375= 0.096
Probability is calculated by favorable outcome divided by the total outcome.
Similarly we obtained the probabilities of the couples that they will have 0, 1, 2, 3, or 4 personality preferences in common.
Evaluate: 7( 14 - 8) - 6²
5
6
7
8
please help if possible 3
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
7(14 - 8) - 6²
Step 2: Evaluate
Exponents: 7(14 - 8) - 36(Parenthesis) Subtract: 7(6) - 36Multiply: 42 - 36Subtract: 6Molly wants to buy a raincoat for her pet. If the raincoat cost $39.99 and has a sales tax rate of 7%. What will be the final price (with tax) of the raincoat?
Answer:
$42.7893 or $42.79 rounded
Whats 5x=234 please answer i will brainliest if i can
Answer:
x = 46.8
Step-by-step explanation:
I assume you are trying to find the value of x.
[tex]5x=234.[/tex]
To find x, divide the answer by the coefficient. The quotient is the value of 'x.'
[tex]234/5=46.8[/tex]
Therefore, 46.8 is the value of x.
Remember: Whenever you see a coefficient and a variable together—5x, 7y, 3t—this means to multiply them.
Help please need to do ASAP!!
Answer:
D) 3x^4 + 22x^3 + 31x^2 - 6
Step-by-step explanation:
1. Use distributive property throughout your equation.
2. Remove all opposites.
3. Add up all like terms.
4. Finish equation!
Sorry I wasn’t able to show you how I did it, but it’s hella hard to type out. Hopefully you got the concept and it helps. Good luck! :)
Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?
Answer:
11
Step-by-step explanation:
because they empty 6 bags and there are 5 bags left to that is 11 all together
The total number of bags of leaves b is given by the equation b = 11 bags
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of bags be = b
The number of bags emptied by Cora's brother = 6 bags
The number of bags left with Cora = 5 bags
So , the equation will be
The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora
Substituting the values in the equation , we get
The total number of bags b = 6 + 5
The total number of bags b = 11 bags
Therefore , the value of A is 11 bags
Hence , the number of bags of leaves is 11 bags
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
A survey of 200 families showed that
75 had a dog;
58 had a cat;
25 had a dog and a cat;
77 had neither a cat nor a dog nor a parakeet;
5 had a cat and dog and a parakeet.
How many had a parakeet only?
Answer:
15 is the answer , the total people who has dogs , cats , parakeets and none is equals to 185 then from 200 you minus 185 which is 15 so 15 people had parakeets only
PERR AMD A PEERN2 SJE
Answer:
3 peers
Step-by-step explanation:
Answer:
Three? Is it three?
Step-by-step explanation:
At-home medical test kits have increased in popularity in recent years. This year, 380 million test kits are expected to be sold. This represents a 114% increase from the number of kits that were sold last year. How many medical test kits were sold last year?
Answer:
326.8 million
Step-by-step explanation:
You just get 14% of 380 million and subtract it from 380 million
Will give brainiest and extra points if the answer is correct
Answer:
The range in the average rate of change in temperature of the substance is from a low temperature of [tex]-22^{\circ}[/tex] to a high of [tex]16^{\circ}[/tex].
Step-by-step explanation:
In the sinusoidal function [tex]y=a\sin(b(x-c))+d[/tex], [tex]|a|[/tex] represents the amplitude and [tex]y=d[/tex] represents the equation of the midline.
By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at [tex]y=d-|a|[/tex] and the maximums must occur at [tex]y=d+|a|[/tex].
Thus, the minimum, or low, occurs at [tex]y=-3-|-19|=-3-19=\boxed{-22}[/tex] and the maximum, or high, occurs at [tex]y=-3+|-19|=-3+19=\boxed{16}[/tex].
Find the value of given PSRQ is a parallelogram
Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.
This means angle r = 180-145 = 35 degrees.
36x -1 = 35
Add 1 to both sides:
36x = 36
Divide both sides by 36
X = 1
Answer:
Work attached below :D
A brand new car was purchased for $28,000 in year 2000. The car value has dropped to
$20,000 in year 2003. What could be considered as the rate of depreciation?
(Round your answers to the nearest 10th.)
Answer:
The rate of depreciation is 11.87% per year.
Step-by-step explanation:
Given that a brand new car was purchased for $ 28,000 in year 2000, and the car value has dropped to $ 20,000 in year 2003, to determine what could be considered as the rate of depreciation, the following calculation must be performed:
20,000 x (1 + X / 1) ^ 3 = 28,000
20,000 x X ^ 3 = 28,000
20,000X ^ 3 = 28,000
X = 1.1187
Therefore, the rate of depreciation is 11.87% per year.
complete the following operations using the standard algorithm then order the answer from smallest to largest.
9514 1404 393
Answer:
1000100₂10100₄643₈Step-by-step explanation:
[tex]\begin{array}{rrr}100111_2&732_8&3213_4\\+11101_2&-67_8&+221_4\\\cline{1-3}1000100_2&643_8&10100_4\end{array}[/tex]
It can be convenient to convert these to base 8 for comparison. (Bases 2, 4, and 8 are easily interconverted by regrouping the base-2 bits of the number.) Using periods to mark groups of bits, we have ...
1000100₂ ⇒ 1.000.100₂ ⇒ 104₈
10100₄ ⇒ 01.00.01.00.00₂ ⇒ 0.100.010.000₂ ⇒ 0420₈
Then the numbers in order are, smallest to largest, ...
1000100₂ ⇒ 104₈10100₄ ⇒ 420₈643₈_____
When the sum of digits in a column equals or exceeds the base, then 1 is carried to the next column to the left, and the excess is written as the sum of the column. In base 2, this means 1+1 = 10. In base 4, this means 3+1=10, or 1+2+2=11.
Subtraction of a larger digit from a smaller one can be done by "borrowing" 1 (the amount of the base) from the next column to the left. In base 8, for example, this means 32-7 = 23.
These rules are identical to the rules that apply in base ten arithmetic.
Choose all of the following relationships that represent functions
I need help I have been stuck on this for years. Plz anything helps
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.
Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).
What the answer? quickly please?
Answer:
the 1st choice
Step-by-step explanation:
MARK BRAINLIEST
help with this please. Thanks
9514 1404 393
Answer:
3.0
Step-by-step explanation:
The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values
x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3
x ≈ 3.0
If f (x) is an exponential function where f(-2.5) = 9 and f(7) = 91, then find
the value of f(12), to the nearest hundredth.
Find the average of -8, -1, and 3
Im doing a test pls help quick!
Answer:
-2
Step-by-step explanation:
To find the mean, add all of the values together. With that sum, divide it by the amount of addends/values. In this case 3.
-8 + -1 + 3 = -6
-6/3= -2
hope this helps :D
