Question 10(Multiple Choice Worth 5 points) (Theoretical Probability MC) A colored spinner with eight equal sections is given. spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow Using the fair spinner, determine P(less than 6) when the spinner is spun once. 0.125 0.25 0.625 0.875
Answers
If the spinner is divided evenly into 8 sections, then the probability P(less than 6) is = 0.625, the correct option is (c).
The spinner has eight equal sections which consists of 3 colored blue, 1 red, 2 purple, and 2 yellow.
The total number of sections in the spinner is = 8,
So, the probability of getting less than 6 is the probability of getting blue or purple.
The probability of getting blue is = 3/8 and
The probability of getting purple is = 2/8.
So, the probability of getting "less-than-6" is = (3/8) + (2/8) = 5/8 = 0.625.
Therefore, the required probability is (c) 0.625.
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The given question is incomplete, the complete question is
A colored spinner with eight equal sections is given. spinner divided evenly into 8 sections with 3 colored blue, 1 red, 2 purple, and 2 yellow Using the fair spinner, determine P(less than 6) when the spinner is spun once.
(a) 0.125
(b) 0.25
(c) 0.625
(d) 0.875
Related Questions
Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. cos 13π 15 cos − π 5 − sin 13π 15 sin − π 5 Find its exact value.
Answers
As per the addition formula, the value of the trigonometric function is -0.809.
In statistics, function is defined as a relationship between inputs where each input is related to exactly one output.
Here we have to find the value of the trigonometric function cos(13/15)cos(-/5)-sin(13/15)sin(-/5) by using the addition and subtraction formula.
Here we have the following trigonometric function:
=> cos(13/15)cos(-/5)-sin(13/15)sin(-/5)
Now, we have to use the trigonometric addition formula,
=> Cos (A+B) = Cos A Cos B - Sin A Sin B
To solve the given function,
Here let us rewrite the given function based on the addition formula, then we get,
=> Cos ( 13π/15 + (-π/5) )
=> Cos( 12π/5)
=> Cos(144°)
=> -0.809
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what is the density of the rock???!!!!!!!!!!
Answers
Answer:
he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).
Step-by-step explanation:
help for brainliest !
Answers
Answer:
<EGF = 54
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
<EGF = 1/2 arc EF
<EGF = 1/2 (108)
<EGF = 54
Evaluate the following limits. lim n -> ∞ sum i = 1 to n ((i ^ 2)/(n ^ 2)) * (1/n) (Picture of equation for clarification)
Answers
Given:
Required:
To find the limit value of the given function.
Explanation:
\(\begin{gathered} =\lim_{n\to\infty}[\frac{1^2}{n^3}+\frac{2^2}{n^3}+........+\frac{n^2}{n^3}] \\ =\lim_{n\to\infty}\frac{1^2+2^2+3^2+.........+n^2}{n^3} \\ =\operatorname{\lim}_{n\to\infty}\frac{\sum_^n^2}{n^3} \\ =\operatorname{\lim}_{n\to\infty}\frac{1}{n^3}\times\frac{n(n+1)(2n+1)}{6} \\ =\operatorname{\lim}_{n\to\infty}\frac{n^3(1+\frac{1}{n})(2+\frac{1}{n})}{6n^3} \end{gathered}\)Cancel out the same terms from the numerator and denominator.
\(=\lim_{n\to\infty}\frac{(1+\frac{1}{n})(2+\frac{1}{n})}{6}\)Now apply the limit.
\(\begin{gathered} =\frac{(1+\frac{1}{\hat{\infty}})(2+\frac{1}{\infty})}{6} \\ =\frac{(1+0)(2+0)}{6} \\ =\frac{2}{6} \\ =\frac{1}{3} \end{gathered}\)Final Answer:
The limit value of the given function is
\(\frac{1{}}{3}\)\(\frac{1{}}{3}\)
AGAIN HELP!!!!!!!!!!!!!!!STILL TRYING TO TEACH MYSELF LOL
Answers
= 70
Ken writes the outline for a radio show 6 times a week for 49 weeks each year. He also writes a blog 2 times a week for 52 weeks each year. Which equation can be used to find how many more radio show outlines Ken writes than blogs each year?
Answers
The number of more radio shows outlines Ken writes than blogs each year is 190.
We are given that;
Shows in 49 weeks= 6
Shows in 52 weeks= 2
Now,
One possible equation to find how many more radio show outlines Ken writes than blogs each year is:
(6 * 49) - (2 * 52)
This equation is based on multiplying the number of times Ken writes a radio show outline or a blog per week by the number of weeks he does so in a year, and then subtracting the total number of blogs from the total number of radio show outlines. The equation simplifies to:
294 - 104= 190
Therefore, by algebra the answer will be 190
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Factor the polynomial expression x2 + 5.
Answers
Answer:
Step-by-step explanation:
Please write this as x^2 + 5.
Roots are ±i√5.
The corresponding factors of x^2 + 5 are (x + i√5) and (x - i√5)
Find the product of 5√6 and √11 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
Result:
√
The result is
because it
integers and its decimal expansion
✓be written as the ratio of two
terminate or repeat
Answers
Answer:
Step-by-step explanation:
When you multiply radicals together, the only rule that needs to be followed is that the index is the same on both. These are both square roots (so the index is a 2 on each radical) so we can multiply the radicals together to get 5√66. That does not simplify at all and is irrational (since the decimal goes on without repeating)
The time it takes to travel a given distance varies inversely as the average rate of travel. If it takes 4 hours to drive to Roanoke while driving an average of 55 mph, what would be the average rate of travel it takes if you drive the same distance in 3 hours and 40 minutes?
Answers
Step-by-step explanation:
distance = rate X time
d = 55 m/hr * 4 hr
d = 220 miles
distance / time = rate
220 miles / (3 2/3 hr ) = 60 m/hr
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
Answers
the answer
155
324
5/9 (87/3(1/12)= 155/324
3 more than 2 times a number is equal to that number plus 4. What is the number?
Answers
Answer:
n=1
Step-by-step explanation:
3 more than 2 times a number can be represented by: 3+2n (with n representing "number")
equal to that number plus 4 can be represented by: = n+4
put it together and solve:
3+2n=n+4
-3 -3
2n=n+1
-n -n
n = 1
We can check to confirm:
3+2(1) = 1+4
5=5 which is correct
Francis was tasked to divide a mixed number by a whole number using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 only once.
Each box should contain only one digit
Answers
The possible quotient expression is 1 2/3 / 4
How to determine the possible quotient expression?The digits are given as:
1, 2, 3, 4, 5, 6, 7, 8, 9
Mixed numbers are represented as:
a b/c
From the list of numbers, we can assume that:
a= 1, b =2 and c = 3
So, we have:
1 2/3
So, the remaining numbers are:
4, 5, 6, 7, 8, 9
Each of the numbers is an whole number.
So, we can represent the whole number with 4
So, we have:
1 2/3 / 4
Hence, the possible quotient expression is 1 2/3 / 4
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What is 1000000000*20009643
Answers
Answer:
I think this just help u..
Step-by-step explanation:
1000000000*20009643=2.0009643*10¹⁶
PLEASE HELP!!! Options: for A-G
1. AAS
2. Definition of segment bisector
3. Definition of angle bisector
4. ASA
5. CPCTC
6. Line segment JM
7. Line segment HJ
8. Line segment HM
9. Line segment KM
10. SAS
11. SSS
12. Transitive property of congruency
13. Given
14. Reflexive Property of Congruency
15. SSA
16. Line segment KJ
17. Line segment KH
Answers
Answer:
a. Definition of Segment Bisector
b. Line segment KM
c. Given
d. Definition of segment bisector
e. Reflexive property of congruence
f. SAS
g. CPCTC (Corresponding parts of congruent triangles are congruent)
Firm XYZ is holding a long position in a $20 million interest rate swap that has a remaining life of 15 months. Under the terms of the swap, six-month LIBOR is exchanged for 4% per annum (both rates are compounded semiannually). The risk-free interest rate for all maturities is currently 5% per annum with continuous compounding. The six-month LIBOR rate was 4.5% per annum two months ago. a. Compute the current value of the swap to firm XYZ Code your answer in the box below. Clearly comment your working. Display your final answer by running the section. b. Suggest a reason why XYZ entered into the swap in the first place. Type answer here (14 + 6 = 20 marks)
Answers
a. The value of the swap to firm XYZ is -$23,225.33.
b. This would help to protect the firm against an increase in interest rates.
a. Calculation of the value of the swap to firm XYZ
The value of the swap to firm XYZ can be calculated using the following formula:
Value of Swap = Value of Fixed Leg - Value of Floating Leg
Where Value of Fixed Leg = VFL = (Coupon Rate * Principal * (1 - (1 + r)-n / r))
Value of Floating Leg = VFL = (Interest Rate * Principal * (1 - (1 + r)-n / r))
Where, Coupon Rate = 4% p.a. Principal = $20 million
Interest Rate = LIBOR + Spread, Spread = 0, therefore,
Interest Rate = 4.5% p.a.
Time to Maturity, n = 15 months
Remaining Time to Next Payment = 6 - 2 = 4 months
Therefore, the current six-month LIBOR rate is required to calculate the value of the swap as follows:
Current six-month LIBOR rate = 4.5% * (4/6) + x% * (2/6)x = ((Value of Swap/Principal + (1 - (1 + r)-n / r)) * r) / (1 - (1 + r)-n / r) = 0.0251%
Value of Fixed Leg = VFL = (0.04 * 20,000,000 * (1 - (1 + 0.05/2)-30 / (0.05/2))) = $1,328,816.76
Value of Floating Leg = VFL = (0.0451 * 20,000,000 * (1 - (1 + 0.05/2)-10 / (0.05/2))) = $1,352,042.09
Value of Swap = $1,328,816.76 - $1,352,042.09 = -$23,225.33
Therefore, the value of the swap to firm XYZ is -$23,225.33.
b. Suggest a reason why XYZ entered into the swap in the first place
Firm XYZ might have entered into the swap in the first place to mitigate the risk of a rise in interest rates in the future. By entering into a fixed-for-floating interest rate swap, the firm has fixed its borrowing cost for the duration of the swap at 4%, regardless of the future interest rate changes.
Therefore, this would help to protect the firm against an increase in interest rates.
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Tell whether the relation is a function. Explain your reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
Answers
What is the x intercept of the line below?
Answers
Answer:
There is no x intercept
Step-by-step explanation:
Answer:
no x intercept
Step-by-step explanation:
it is parallel with the x axis. They will never touch
find the range of the function f(x)=2x+4
Answers
Answer:
(0,4)
Step-by-step explanation:
this is highest and only Y intercept. the range of a graph is all of the Y intercepts. and the domain of a graph is all of the x-intercepts
ASAP! Pls help me , i wanna finish already , im so stressed out:(
Answers
Answer:
\($1,800\)
ezra determined that the graph shown below is vertically compressed by a factor of 1/3 from the graph of y=|x| do you agree or disagree? why?
Answers
Answer:
Step-by-step explanation:
no graph was shown
Jack and Marci’s restaurant bill was $50. They usually leave an 18% gratuity, but because they received exceptional service, they decided to leave a larger tip instead. Slide the bar on the interactive tool to increase the amount of the tip. What percent of the bill would an $11 tip be? What percent of the bill would a $12.50 tip be?
Answers
Answer:
What percent of the bill would an $11 tip be?: 22%
What percent of the bill would a $12.50 tip be? 25%
Step-by-step explanation:
Edegunity
Answer:
1. 22%
2. 25%
Step-by-step explanation:
edginuity
Can someone help me with this pls
Answers
Answer:
I don't know??????????
Step-by-step explanation:
Write the solution set of the given homogeneous system in parametric vector form. + = X1 3x1 + 3x2 +6X3 = 0 - 9x1 - 9x2 - 18X3 = 0 - 7x2 - 7x3 = 0 = where the solution set is x = x2 X3 X = X3
Answers
The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.
To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.
The augmented matrix for the given system is:
[3 3 6 | 0]
[-9 -9 -18 | 0]
[0 -7 -7 | 0]
Using row operations, we can transform this matrix to row-echelon form:
[3 3 6 | 0]
[0 -6 -12 | 0]
[0 0 -7 | 0]
Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.
Therefore, the solution set in parametric vector form is:
x = [-2t - 2s, t, s], where t and s are arbitrary parameters.
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On a number line, M is
Located at -5 and N is
Located at 3. the midpoint
OF MN is Located at?
Answers
Answer:
-1
Step-by-step explanation:
Hello!
The midpoint of the two values is half the absolute value of their difference added to the lowest value.
Find the Midpoint\(O = \frac12|M - N| + M\)\(O = \frac12|-5 - 3| - 5\)\(O =\frac12 |-8| - 5\) \(\hookrightarrow\) The absolute value turns any number into the positive form\(O = \frac12(8) - 5\)\(O = 4 - 5\)\(O = -1\)The midpoint is -1.
P is directly proportional to (q+2)2
when q = 1, p = 1.
find p when q = 10.
Answers
P = 16 when q = 10 because P is directly proportional to (q+2)^2 and k = 1/9 was found by P = 1 when q = 1.
How to find value the of P?If P is directly proportional to (q+2)^2, we can write this as:
P = k(q+2\()^2\)
where k is a constant of proportionality.
To find the value of k, we can use the given condition that when q = 1, P = 1:
1 = k(1+2\()^2\)
1 = k(3\()^2\)
1 = 9k
k = 1/9
Now we can use this value of k to find P when q = 10:
P = (1/9)(10+2\()^2\)
P = (1/9)(12\()^2\)
P = (1/9)(144)
P = 16
The reason for this answer is based on the given information that P is directly proportional to (q+2\()^2\). Using the proportionality constant k, which was determined by the condition that P = 1 when q = 1.
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z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8
Answers
Answer:
12
Step-by-step explanation:
This is a joint variation problem:
z varies directly as x and y
Interpreting this;
z ∝ xy
Therefore;
z = kxy
z = 6, x = 2, y = 6
Now find k,
6 = 2 x 6 x k
6 = 12k
k = \(\frac{1}{2}\)
To find the value of z;
x = 3, y = 8
z = \(\frac{1}{2}\) x 3 x 8 = 12
What is the length of segment BE?
A) 2
B) 4
C) 6
D) 8
Answers
Answer:
4........
plz follow me....
Under a dilation with respect to the origin, the image of P(-15, 6) is P(-5,2).
What is the scale of the dilation
Answers
Answer:
The scale is 1/3
Step-by-step explanation:
5.98 + 9.2 = ___________ work the answer out
Answers
And 9.2 is 920 and not 92 bc 9.2 equals 9.20.
So 598+920= 1518
Than you Have to put comma like in the previous numbers.
9.20
5.98
15.18
you can buy a pair of 1.75 diopter reading glasses off the rack at the local pharmacy. what is the focal length of these glasses in centimeters ?
Answers
the focal length of these glasses is approximately 57.14 centimeters.
The focal length (f) of a lens in centimeters is given by the formula:
1/f = (n-1)(1/r1 - 1/r2)
For reading glasses, we can assume that the lens is thin and has a uniform thickness, so we can use the simplified formula:
1/f = (n-1)/r
D = 1/f (in meters)
So we can convert the diopter power (P) of the reading glasses to the focal length (f) in centimeters using the formula:
P = 1/f (in meters)
f = 1/P (in meters)
f = 100/P (in centimeters)
For 1.75 diopter reading glasses, we have:
f = 100/1.75
f = 57.14 centimeters
Therefore, the focal length of these glasses is approximately 57.14 centimeters.
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