Answer:
Step-by-step explanation:
From the given information,
Considering both cases when p = 0.5 and when p ≠ 0.5
the probability that the gambler will quit an overall winner is:
[tex]P = \dfrac{1 - (\dfrac{1-p}{p} )^K}{1- (\dfrac{1-p}{p})^N } \ \ \ is \ p \neq 0.5 \ and\ K/N = \dfrac{1}{2}[/tex]
where ;
N.k = n and k = m
Hence, the probability changes to:
[tex]P = \dfrac{1 -(\dfrac{1-p}{p})^m}{1 -(\dfrac{1-p}{p})^{m+n}}[/tex] is p ≠ 0.5 and k/N = [tex]\dfrac{m}{m+n}[/tex] is P = 0.5
Need to also show work but confused
Answer:
S = 2
Step-by-step explanation:
1st step: Simplify both sides of the equation
4/5 s - 3/4 s = 1/10
4/5 s + -3/4 s = 1/10
(4/5 s + -3/4 s) = 1/10 (combine like terms)
1/20 s = 1/10
1/20 s = 1/10
step 2: multiply both sides by 20
20 * (1/20 s) = 20 * (1/10)
s = 2
Hope this helped!
Find the slope of the line passing through the pair of points. (0, 21), (9, 0)
Answer:
m =-7/3
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(0,\:21\right),\:\left(x_2,\:y_2\right)=\left(9,\:0\right)\\\\m=\frac{0-21}{9-0}\\\\m = \frac{-21}{9} \\\\Use\:3\:to\:divide\:through \\m=-\frac{7}{3}[/tex]
Jack met Jill Jill had 16 gallons of water in a bucket jack has ? gallons of water in his bucket answer the equation to figure out how much gallons he has in his bucket.If 3 =B and C=2 A=1 What does D eqaul when you figure it out multiply the number that D is equal to 5 times then the number you end up with needs to be multiplied 12 times the number you get subtract 100 from it then you have your answer.
Answer:
140
Step-by-step explanation:
A=1 B=2 C=3 D=4
4 x 5= 20
20 x 12=240
240 - 100=140
Answer: 140
Answer:
140
Step-by-step explanation:
A golf ball has a diameter of 1.6 cubic inches. How many golf balls will fit inside of a storage unit that is 10 feet wide, 20 feet long, and 8 feet high? (Volume of a sphere = 4/3 π r3 1291962 balls 1291962 balls 2764800 balls
Answer:
1291962 golf balls
Step-by-step explanation:
golf ball: 4/3П(0.8)^3=2.14 in^3
storage unit: 120(240)(96)=2764800 in^3
2764800/2.14=1291962 golf balls
Number of golf balls that will fit inside of a storage will be 1291962 golf balls
diameter of golf ball = 1.6 in³
radius will be = 0.8 in³
it is known that 1 ft = 12 in
What is volume ?
Volume is a three dimensional space occupy by the body of particular shape such as here :
volume (V) of sphere golf ball with radius r : [tex]\frac{4}{3}\pi r^{3}[/tex]
[tex]\begin{aligned}V&= \frac{4}{3}\pi r^{3} \\&=\frac{4}{3}\pi (.8)^{3}\\&\approx 2.14 \text{\:in}^{3}\end{aligned}[/tex]
Volume of rectangle ([tex]V_{1}[/tex]) with length (l= 10x12 in.), breadth (b =20x12 in.) and height (h = 8x12 in.) : lbh
[tex]\begin{aligned}V_{1}&=lbh\\&=120\cdot240\cdot96\\&=2764800 \text{\:in}^3\end{aligned}[/tex]
therefore, number of golf balls will fit inside of a rectangular storage
will be : [tex]\frac{V_{1}}{V}[/tex]
[tex]\begin{aligned}\text{no. of golf ball}&= \frac{V_{1}}{V}\\&=\frac{2764800 \text{\:in}^3}{2.14}\\&\approx 1291962\end{aligned}[/tex]
number of golf balls will be 1291962.
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Jen and Marcus got 13 miles up river before they ran out of gas. They floated
12 miles back down river before they reached the shore. How far did they
get?
What is the reciprocal of 5?
Answer:
reciprocal of 5 is 1 /5.......
subtract fractions 9 1/10 - 4 3/4 =
Answer:
4.35
Step-by-step explanation:
The fraction is 23/5.
To find the fraction of given problem.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
Let the two fractions be a/b and c/d then:
a/b−c/d=ad−bc/bd
It must have like denominators to subtract fractions.
For = 9 1/10 - 4 3/4= 9 1/10 - 19/4
Taking LCM of 10 and 4 is 20.
=9 1/10 - 19/4
=[tex]\frac{91*2-19*2.5}{20} \\\\\frac{182-47.5}{20} \\\\\frac{92}{20}[/tex]
After cancel out numerator and denominators
=23/5
So, the fraction is 23/5.
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ASAP Find the measure of the third angle of a triangle if the measures of the other two angles are given. 118.6 and 42.3 A. 19.1 B. 36.7 C. 39.1 D. 29.1
Answer:
A. 19.1
Step-by-step explanation:the total measure of a triangle is 180°
118.6+42.3+x=180
160.9+x=180
x=180-160.9
x=19.1°
Analyses were run. The following is the (edited) output for the test:
Hypothesis test results:
U1: favored team-home game
U2: favored team- away game
Difference Sample Mean Std. Err. DF T-Stat P-value
U1-U2 .11 0.67168534 94.155815 0.16376716 0.4351
From the output we learn that:
A. the data provide sufficient evidence reject the H0; thus, we cannot conclude that the
mean point spread of home games is higher than that of away games.
B. the data do not provide sufficient evidence reject the H0; thus, we can conclude that
the mean point spread for home games is higher than that of away games.
C. the data do not provide sufficient evidence to reject H0; thus, we cannot conclude that
the mean point spread of home games is higher than that of away games.
D. the data provide sufficient evidence to reject H0; thus, we can conclude that the mean
point spread for home games is higher than that of away games.
Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.
Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.
In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.
What is f(0)?
O 12 only
O 2 and 3 only
0 -2,-1.1, and 2 only
O-2, -1, 1, 2 and 12
Answer: The 1st option is correct! :D
Hopefully this will help others as well!
Step-by-step explanation:
The coefficient of determination is used to: compute correlations for truncated ranges. compare the relative strength of coefficients. identify curvilinear relationships. test correlations for causality.
Answer: compare the relative strength of coefficients.
Step-by-step explanation: The Coefficient of determination usually denoted as R^2 is obtained by taking the squared value of the correlation Coefficient (R). It's value ranges from 0 to 1 and the value obtained gives the proportion of variation in the dependent variable which could be attributed to it's correlation or relationship to th independent variable. With a R^2 value close to 1, this means a large portion of Variation in a variable A could be explained due to changes in variable B while a low value signifies a low variance between the variables. Hence, the Coefficient of determination is used in comparing the relative strength of the Coefficients in other to establish whether a weak or strong relationship exist.
Find the length of the hypotenuse , c, using the Pythagorean theorem (a^2+b^2=c^2) round the nearest tenth if necessary
Answer:
19.4 units
Step-by-step explanation:
The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],
Where,
c is the longest/hypotenuse, a and b are the length of the other two legs.
Therefore,
[tex] c^2 = (16)^2 + (11)^2 [/tex]
[tex] c^2 = 256 + 121 = 377 [/tex]
[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)
How do you estimate an irrational vsquare root? Use COMPLETE sentences! Make sure you use LOTS of details. Word Bank Square Root Square Estimate Predict - Perfect Squares Whole Number Number Line Left/Right Tick Marks Upper/Lower Radical Consecutive
Answer:
Step-by-step explanation:
Lets illustrate one method by an example:
Find the square root of 12:
The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.
We might predict it to be 3.5
If we square 3.5 we get 12.25 so we are pretty close.
It is less than 3.5 so we might try 3.4 .
Working 3.4^2 out we get 11.56 so we know the square root is between 3.4 and 3.5 Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.
This is called the method of trial and improvement and requires you to do long multiplications.
The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundreth.
Answer:
So the breadth of the rectangle is y= 3.39 inches
And the length is = x= 4y= 4* 3.39= 13.56 inches
Step-by-step explanation:
Let the length of the rectangle be given by x and the breadth be defined by y.
Then according to the area of rectangle
Area= Length * breadth
But length is 4 times its width so x= 4y
Therefore putting the values
Area= Length * breadth
46= x*y
46= 4y*y
46/4= y²
or
y ²= 11.5
Now taking the square root of both sides we get
y= √11.5=3.39116 inches
So the breadth of the rectangle is y= 3.39 inches
And the length is = x= 4y= 4* 3.39= 13.56 inches
a reason
Determine if 0.362799791799176191... is rational or irrational and give
for your answer.
Answer:
It is irrational because there isn’t any repeating parts.
solve for p -5(p + 3/5) = 4
Answer:
p =-7/5Step-by-step explanation:
[tex]-5\left(p+\frac{3}{5}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5\left(p+\frac{3}{5}\right)}{-5}=\frac{4}{-5}\\\\Simplify\\p+\frac{3}{5}=-\frac{4}{5}\\\\\mathrm{Subtract\:}\frac{3}{5}\mathrm{\:from\:both\:sides}\\p+\frac{3}{5}-\frac{3}{5}=-\frac{4}{5}-\frac{3}{5}\\\\Simplify\\p=-\frac{7}{5}\\\\p=-\frac{7}{5}[/tex]
A new Community Sports Complex is being built in maddison. The perimeter of the rectangular playing field is 232 yards. The length of the field is 7 yards less double the width what are the dimensions of the playing field
Answer:
width are 33 dimensions
Find 8x+y when x=2 and y=5.
Answer:
21
Step-by-step explanation:
8x+y, when x=2 and y=5,
then 8*2+5. Because the 2 is right next to the 8, it isn't '82', but '8*2'
According to PEMDAS, multiplication is done first, so
8*2= 16,
16+5, which is 16+5= 21
HELP ME QUICK!!! this has to be turned in in 46 min
Answer:
the answer is most likely A
Step-by-step explanation:
PLEASE HELP! If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units
Answer:
Step-by-step explanation:
volume=1/3×area of base×height=1/3×6×6×√7=12√7 cubic units
what is the 2 step equation -1=(5+x)6
Multiply. (2x-1) (x^2+x-3)
Show steps please
Answer:
2x^3+x^2-7x+3
Step-by-step explanation:
To do this you have to multiply the first term in the first parenthesis so you would multiply 2x by x^2 x and -3 so you get 2x^3+2x^2-6x for the first part and then you would multiply -1 by the terms again so you would get -x^2-x+3 so you would get 2x^3+2x^2-6x-x^2-x+3 then you would add add teh like terms together so you get 2x^3+x^2-7x+3 as the final answer
Weights of babies at the local community hospital have a distribution that is approximately normal with a mean weight of 7.43 pounds and a standard deviation of 1.25 pounds. A premature baby can be classified as being less than 5.51 pounds. A. Find the probability of a randomly selected baby weighing less than 5.51 pounds. B. If 25 babies are randomly selected, what is the probability that their weight will be less than 5.51 pounds?
Answer:
Step-by-step explanation:
Hope this helped
simplify the expression -1/2(-5/6 +1/3) thank you :)
Answer:
1/4
Step-by-step explanation:
-1/2(-5/6 +1/3)
PEMDAS
parentheses first
(-5/6 +1/3)
Get a common denominator
-5/6 + 1/3 *2/2
-5/6 + 2/6 = -3/6 = -1/2
Substitute this back in
-1/2 ( -1/2)
Multiply
1/4
which statement best explains the value of 18 - (-5)?
Answer:
The additive inverse of −5 is +5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 13.
4(-6)+y=10
can someone hellp
Answer:
y = 34
Step-by-step explanation:
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Remember to follow PEMDAS. First, multiply -6 with 4:
-6 * 4 = -24
-24 + y = 10
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Add 24 to both sides:
-24 (+24) + y = 10 (+24)
y = 10 + 24
y = 34
y = 34 is your answer.
~
Answer:
y = 34Step-by-step explanation:
[tex]4\left(-6\right)+y=10\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\-4\times\:6+y=10\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:6=24\\-24+y=10\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-24+y+24=10+24\\\\Simplify \\y=34[/tex]
$7.825 per hour × $32.125 hours round answer to the thousandth of a dollar???
-33 - 4x = 2 - 3(4x - 7)
Answer:
-33-4x=-1(4x-7)
-33-4x=-4x+7.
-33-7=-4x+4x.
=-40.
The best method for obtaining a representative sample is to choose a _____ from the population of interest.
Answer:
Random sample
Step-by-step explanation:
In statistics, a sample randomly taken from an investigated population, usually known as a random sample. To avoid having bais from our response and for it to have the best chance of it being indicative of the entire population, our sample must be random. This random sample chosen must contain subjects related to the data in the population we what to obtain a result from.
Simplify the expression 2x - 7 + 4x
Answer:
6x−7
Step-by-step explanation:
2x−7+4x
=2x+−7+4x
Combine Like Terms:
=2x+−7+4x
=(2x+4x)+(−7)
=6x+−7
Answer:6x-7
The like terms in the expression are 2x and 4x, so therefore you add them together and you get 6x.