A player spins two spinners. The outcome of each spinner is 1, 2, or 3. Each outcome is
equally likely. Define the random variable X to be the maximum of the two numbers on the
spinners. What is E[X]?
Answers
There are nine possible outcomes for the two spinners: (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), and (3, 3). The probability of each outcome is 1/9, since there are three possible outcomes for each spinner and each outcome is equally likely.
For each possible outcome, we can calculate the value of X, which is the maximum of the two numbers on the spinners. For example, if the outcome is (1, 2), then X = 2. If the outcome is (3, 3), then X = 3.
We can then multiply the value of X for each outcome by its probability, and sum the results to find the expected value of X.
For example, the expected value of X for the outcome (1, 1) is 1 * (1/9) = 1/9. The expected value of X for the outcome (1, 2) is 2 * (1/9) = 2/9. The expected value of X for the outcome (1, 3) is 3 * (1/9) = 3/9. And so on.
We can do this for all nine outcomes to find the expected value of X. The expected value of X is the sum of all the expected values of X for each outcome, which is:
E[X] = (1/9) + (2/9) + (3/9) + (2/9) + (3/9) + (3/9) + (3/9) + (3/9) + (3/9) = 20/9 = 2.222...
So, the expected value of the random variable X, which is the maximum of the two numbers on the spinners, is approximately 2.222.
Related Questions
2 (5x + 3)
solve and show like terms
Answers
Answer:
10x+6
Step-by-step explanation:
you would times the 2 by the 5 and the 2 by the 3 which gives you 10x+6
Pls help I’ll brainlest and give extra points
Answers
Answer:
No, he should not. He will only have $200 left over which he needs to put aside for savings and buying food and other goods and utilities. He should not buy until he has saved up more.
Step-by-step explanation:
Write the expression without using exponents.
(−9x)4
Answers
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
for such more question on exponents
https://brainly.com/question/4077992
#SPJ8
2 - 5x = -18 help quick please
Answers
x = 4
Step-by-step explanation:Hi there !
2 - 5x = - 18
2 + 18 = 5x
20 = 5x
5x = 20
x = 20 : 5
x = 4
Good luck !
The parent function f(x) = x is translated up 3 units and made steeper by a factor of 2. What is the equation of the new line?
plesse help!
Answers
Answer:
y = 2x + 3
Step-by-step explanation:
Separate each instruction and apply each one individually to the function.
First, "translated up 3 units" -- this means that we add 3 to x.
y = x + 3
Next, "made steeper by a factor of 2" -- this means that we multiply x by 2.
y = 2x + 3
So, y = 2x + 3 is the equation of the new line.
Note: I chose to replace f(x) with y. However, it can also be replaced by any other lettered function, such as g(x), h(x), etc.
The entire graph of the function h is shown in the figure below.Write the domain and range of h using interval notation.Please write in proper format shown in box.
Answers
The domain of a function are all the values that x can take for the case of this function, the domain ranges from -3 to 2. The correct notation is:
\(\lbrack-3,2)\)We use parentheses when the number is not included and bracket when we do include it.
The range is the values that Y can take and in this case it goes from -5 to 4. The correct notation is:
\(\mleft\lbrack-5,4\mright\rbrack\)In this case both are brackets since it includes those values
Write the equation of the line that it is parallel to 2X = 1−3Y and passes through (-5,7) .
Answers
Answer:
3y=1-2x....
y=1/3-2/3x.....m=-2/3
y=-2/3x+b replacement(-5,7)
b=11/3
y=-2/3x+11/3
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Answers
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
For such more questions on Credit Card Payoff
https://brainly.com/question/26867415
#SPJ8
identify which equations have one solution, infinitely many solutions, or no solution 3u+40+2u=6u-30-u
Answers
Answer:
I did the math there is no answer
PLEASE ACCOMIDATE I WILL GIVE 5 STAR IF AWNSER
A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled.
What is the total area of the figure?
75 m2
63 m2
61.5 m2
45 m2
Answers
Based on the description, the total area of the figure would be 45 square meters.
How to find the total area of the figure?To find the total area of the figure, we need to divide it into two triangles and one rectangle.
The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.
The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.
Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:
36 + 4.5 + 4.5 = 45 square meters
So the answer is 45 m2.
Learn more about area in https://brainly.com/question/27683633
#SPJ1
What is an equivalent expression to 4x - 9 + 23x
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(27x-9\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Simplifying the Expression:}}\\\\4x - 9 + 23x\\----------\\\rightarrow 4x + 23x - 9\\\\\rightarrow \boxed{27x-9}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
27 x - 9
Step-by-step explanation:
Simplify the expression
4 x - 9 + 23 x
combine like terms
4 x + 23 x - 9
27 x - 9
(1) In an investigation of toxins produced by molds that infect corn crops, a biochemist prepares extracts of the mold culture with organic solvents and then measures the amount of the toxic substance per gram of solution. From 6 preparations of the mold culture, the following measurements of the toxic substance (in milligrams) are obtained:1.4, 1.5, 1.8, 1.9, 2.5, 2.2Find a 99% confidence interval for the mean weight (in milligrams) of toxic substance per gram of mold culture in the sampled population.(2) Which of the following statements is true regarding part (a)?(A) The population mean must be inside the confidence interval. (B) The population does not need to be normal. (C) The population must be normal. (D) The population standard deviation ? must be known. (E) The population must follow a t-distribution.
Answers
Answer:
Following arew the solution to this question:
Step-by-step explanation:
Build the 99% trust period of harmful chemicals for both the community, because no information is provided mostly on population standard, they just use t-test procedure to find the necessary trust period.
The confidence interval of 99 percent for both the mean community is provided by,
\((\bar{x} \pm t_{\frac{\alpha}{2}} \frac{s}{\sqrt{n}})\)
Use Minitab as seen below to get the necessary result:
T study one: weight
Variable N Mean stDev SE Mean 99% CI
weight 6 1.883 0.417 0.170 (1.197, 2.569)
The overall population weight of a toxic material in the above output is 99 percent (1.197, 2.569).
They may say of the 99% trust interval, the 99% trust between about 1.197 mg and 2.569 mg will lie throughout the average population.
Therefore, the option (A) is valid
One of conditions would be that the overall population should be standard in attempt to discover the standard deviation. This is the true option (C).
Given SSxx is 950 and SSxy is 205.2. Calculate and interpret the value of r if the data
consist if 12 number of samples with y = 120 and Σy² = 2028
Answers
Step-by-step explanation:
To calculate the correlation coefficient (r) given SSxx, SSxy, and other information, we need to use the following formula:
r = √(SSxy / SSxx)
Given SSxx = 950 and SSxy = 205.2, we can substitute these values into the formula:
r = √(205.2 / 950)
Calculating the value:
r = √(0.216)
r ≈ 0.465
The correlation coefficient (r) is approximately 0.465.
Interpretation: The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the value of r = 0.465 indicates a positive linear relationship between the variables, but it's not a strong relationship. The closer the value of r is to 1 or -1, the stronger the relationship. Since r = 0.465 is relatively close to zero, it suggests a weak positive linear association between the variables being an analyzed.
hope it help you
The Pearson's correlation coefficient (r) based on given data is approximately 0.44, implying a moderate positive correlation.
Explanation:The formula for calculating Pearson's correlation coefficient (r) in this case is given as: r = SSxy / sqrt(SSxx * SSyy). However, we don't have the value for SSyy directly, but we can calculate it. We know that SSyy = Σy² -(Σy)² / n. Given that Σy² is 2028 and Σy is 120 and number of samples n is 12, we can calculate SSyy as: SSyy = 2028 - (120)² / 12 = 52. Now, substitute SSxx = 950, SSxy = 205.2 and SSyy = 52 in the formula to find r: r = 205.2 / sqrt(950 * 52), giving us an r-value of approximately 0.44. This value of r suggests a moderate positive correlation between the variables in the dataset.
Learn more about Pearson's correlation coefficient here:https://brainly.com/question/34388750
#SPJ3
please help thank you !!
Answers
Answer:
80 gallons
Step-by-step explanation:
First to find this, we must divide 10 by 4, and yes I know this will give us a decimal, but it must be done. This division will give us 2.5, we must then multiply 2.5 by 32, as we are given 32 gallons for 4 loads of dishes, and if 2.5 times 4 loads is 10 loads, then we must multiply 32 by 2.5 as well, giving us the answer, 80 gallons
Answer:
80 gallons
Step-by-step explanation:
The answer is 80 gallons when using the distributive, and communitive property of multiplication and division.
Feel free to give brainliest. I hope everyone has an excellent day!
K'
-8,8
,
L'
8,8
,
M'
-4,8
i need help finding the new coordinate. and scale factor is 1/2
Answers
Answer:
Step-by-step explanation:
To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.
For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).
You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).
I hope this helps! Let me know if you have any questions.
A study was conducted of Long Beach School District schools regarding how
many require school uniforms. In 2006, of the 296 schools questioned, 184 said
they required school uniforms. (Gentile & Imberman, 2009) Find the proportion
of schools that require a school uniform.
Answers
The alternative hypothesis is Ha : μa ≠ μb Ha : μa - μb ≠ 0
Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
By using the appropriate symbols, it becomes
The null hypothesis is
H0 : μa = μb H0 : μa - μb = 0
The alternative hypothesis is
Ha : μa ≠ μb Ha : μa - μb ≠ 0
Learn more about Proportions at:
https://brainly.com/question/19994681
#SPJ1
Consider this expression.
-4x^2 + 2x − 5 (1+x)
What expression is equivalent to the given expression?
__x^2 + ___ x +___
Answers
The expression that is equivalent to the given expression -4x² + 2x − 5 (1+x) is -4x² - 3x − 5
What expression is equivalent to the given expression?From the question, we have the following parameters that can be used in our computation:
-4x² + 2x − 5 (1+x)
Open the brackets
So, we have
-4x² + 2x − 5 (1+x) = -4x² + 2x − 5 - 5x
Collect the like tsrms
So, we have
-4x² + 2x − 5 (1+x) = -4x² + 2x - 5x − 5
Evaluate the like terms
This gives
-4x² + 2x − 5 (1+x) = -4x² - 3x − 5
Hence, the expression that is equivalent to the given expression is -4x² - 3x − 5
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
Priya rewrites the expression 8 − 24 as 8( − 3). Han rewrites 8 − 24 as2(4 − 12). Are Priya's and Han's expressions each equivalent to 8 − 24? Explain your reasoning.
Answers
The given expression is
\(8y-24\)Priya rewrite the expression as
\(8(y-3)\)Expanding priya's expression gives
\(\begin{gathered} 8(y-3)=8\times y-8\times3 \\ 8(y-3)=8y-24 \end{gathered}\)Hence Priya's expression is equivalent to 8y - 24
Han's rewrite the expression as
\(2(4y-12)\)Expanding Han's expression gives
\(\begin{gathered} 2(4y-12)=2\times4y-2\times12 \\ 2(4y-12)=8y-24 \end{gathered}\)Hence, Han's expression is equivalent to 8y - 24
is X a positive, negative or zero? x + 5 = -8
Answers
Answer:
Negative
Step-by-step explanation:
x + 5 = -8
Subtract 5 from both sides to get x by itself
x = -13
Answer:
X is negative
Step-by-step explanation:
The total cost of three ice cream cones with
sprinkles is $15. The price of a single ice
cream cone is $4 plus the price of sprinkles, s.
Which equation represents the situation?
Answers
Answer:
15=3(4+s); s=1
Step-by-step explanation:
Working as a waiter, Michael earns $7 an
hour plus tips. Last night he received $35 in tips and earned a total of $84. How
many hours did he work?
Answers
Answer:
7Hrs because 84-35=49
49/7=7
I will give brainiest to whoever answers correctly !!
Answers
Answer:
$37623.04
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or:
\(I=p*r*t\)
Where:
P is the principal amount, $1088.00.
r is the interest rate, 839.5% per year, or in decimal form, 839.5/100=8.395.
t is the time involved, 4....year(s) time periods.
So, t is 4....year time periods.
To find the simple interest, we multiply 1088 × 8.395 × 4 to get that:
The interest is: $36535.04
Usually now, the interest is added onto the principal to figure some new amount after 4 year(s),
or 1088.00 + 36535.04 = 37623.04.
How many integers satisfy each inequality?
-102
Answers
Answer:At integers -2 and -3 the value of the equation is zero, hence satisfies the inequality. So overall 4 integers satisfy the inequality.
i got 1 2 3 4 5 6 7 8 ems in my bank account
Step-by-step explanation:
What is the formula forfinding the area of a circle using its radius or diameter.
Answers
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
For more information on the Area of Circle, click:
https://brainly.com/question/14068861
find c. (geometry) plz help
Answers
Answer:
14.9 cm
Step-by-step explanation:
\( \frac{ \sin(12) }{10} = \frac{150}{a} = \frac{ \sin(18) }{c} \\ c = \frac{10 \times \sin(18) }{ \sin(12) } = \\ c = \frac{3.09}{0.2079} = 14.86 = 14.9\)
find the first three common multiplies
6 and 8
Answers
Answer:
24,48,72
Step-by-step explanation:
multiples of 6- 6,12,18,24,30,36,42,48,54,60,66,72
multiples of 8- 8,16,24,32,40,48,56,64,74,80
Elena wants to tile the top of a circular table. The diameter of the tabletop is 28 inches. What is the perimeter?
Answers
Answer:
86.96 inches.
Step-by-step explanation:
C = 2πr
d = 2r
Solving for C
C = πd = π · 28 ≈ 87.96459 inches
How many centiliters are in 0.00005 liters?
0.00005 L = [?] cL in standard form.
Answers
The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.
What is the number of centilitres in 0.00005 litres?Recall that; it follows from metric systems that;
100 centilitres = 1 litres.
On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;
= 0.00005 × 100 centilitres
= 0.005 centilitres.
Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.
Read more on standard form;
https://brainly.com/question/20956320
#SPJ1
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
Answers
Answer:
\(115 \dfrac{1}{2}\:cm^3\)
Step-by-step explanation:
The volume of a rectangular prism is the product of each of the sides of the prism
Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)
the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)
To perform this multiplication, convert mixed fractions to improper fractions first
Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)
\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)
\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)
Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)
\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)
Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)
Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder
\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)
\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)
y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
For more questions on graph:
https://brainly.com/question/19040584
#SPJ8
