If you chose the letters D and H for 20 turns, how many times are you most likely to win?
A. 1
B. 2
C. 3
D. 4
E. 5
edmentum
Answers
If you chose the letters D and H for 20 turns, the number of times you are most likely to win is; Option C: 3
What are the number of ways of winning?We are given the probability of winning for each letter as;
A = 5%
B = 10%
C = 15%
D = 5%
E = 5%
F = 25%
G = 10%
H = 10%
I = 10%
J = 5%
Now, we want to find the number of times you can win If you chose the letters D and H for 20 turns.
Thus;
Number of times you can win if you chose Letter D = 5% * 20 = 1 time
Number of times you can win if you chose Letter H = 10% * 20 = 2 times
Thus;
Total number of ways of winning = 1 + 2 = 3 times
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Related Questions
Square Root of -100 = Blank + Blank i
Answers
Answer:
10i
Step-by-step explanation:
How many lines of symmetry does this triangle have? 10 ОА. о OB. 1 O c. 2 OD. 3 O E 4
Answers
Answer: D
Step-by-step explanation: to know symmetry you must draw line from vertices of the figure ad the triangle has 3 vertices so you will draw 3 lines
Please solve for X and find the measure of B
Answers
Answer:
Step-by-step explanation:
A and B are both equal (corresponding parts)
A = B
5x - 5 = 3x + 13 Add 5 to both sides
5x = 3x + 13 + 5 Combine
5x = 3x + 18 Subtract 3x from both sides
5x - 3x = 18 Combine
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
Angle B
B = 3x + 13 Let x = 9
B = 3*9 + 13
B = 27 + 13
Angle B = 40
Fill in the table using this function rule
Answers
2 = 16 (24-4(2)=16)
5 = 4 (24-4(5)=4)
6 = 0 (24-4(6)=0)
For any parallelogram what is not always true
Answers
Answer:
The diagonals are congruent.
Step-by-step explanation:
Answer:
1) The diagonals are congruent.
3) The opposite angles are congruent.
4) The opposite sides are parallel.
Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?
if it does not work sorry
Find where (if anywhere) the function y=w 3
+w 2
−5w has a horizontal tangent line. (Extra Credit) Draw me.
Answers
The function y = w3 + w2 - 5w is a polynomial function of degree 3.
A horizontal tangent line occurs when the derivative of the function is zero.
Therefore, let's find the derivative of the given function:
dy/dw = 3w2 + 2w - 5
Now, let's set dy/dw equal to zero and solve for w:
3w2 + 2w - 5 = 03w2 + 2w = 5w(3w + 2) = 5w = 0 or w = -2/3 or w = 5/3
Thus, the function has horizontal tangent lines at w = -2/3 and w = 5/3.
To verify this, we can check the second derivative of the function:
d²y/dw² = 6w + 2At w = -2/3, d²y/dw² = 6(-2/3) + 2 = -2 < 0,
so the function has a local maximum at this point. At
w = 5/3, d²y/dw² = 6(5/3) + 2 = 12 > 0,
so the function has a local minimum at this point.
Extra Credit: To draw the function, we can first plot the horizontal tangent lines at
w = -2/3 and w = 5/3.
Next, we can plot the function for values of w near these points and connect them smoothly to create a graph.
The graph would be a curve with a local maximum at w = -2/3 and a local minimum at w = 5/3.
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work out m and c for the line: 5x-3y+4=0
Answers
Answer:
\(m = \frac{5}{3}\)
\(b = \frac{4}{3}\)
Step-by-step explanation:
The question requires you to rearrange the equation into the form:
y = mx + c
Which is the straight line equation, meaning rearrange for y:
Add 3y to both sides of the equation:
5x - 3y + 4 = 0
5x - 3y + 4 + 3y = 0 + 3y
5x + 4 = 3y
Divide both sides of the equation to isolate y:
\(\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}\)
\(y = \frac{5}{3}x + \frac{4}{3}\)
This means that \(m = \frac{5}{3}\) and \(b = \frac{4}{3}\).
Hope this helps!
Answer:
m = 5/3 and c = 4/3.
Step-by-step explanation:
5x - 3y + 4 = 0
-3y = -5x - 4
y = (-5/-3)x - 4/-3
y = 5/3 x + 4/3
y = mx + c
So m = 5/3 and c = 4/3
Suppose you want to save $5000 to put towards remodeling your house in 18 months. You found a bank whose interest rate for savings accounts is 4.5% compounded monthly, but you are unsure of how much to invest to have $5000 saved in 18 months.
Using the compound interest formula, how much should you invest in order to have $5000 saved in 18 months?
Answers
The required money to be invested in order to save $5000 is $4677.26.
What is compound interest?The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.
The principal for each interval is the sum of interest And the principal for the previous interval.
Suppose the amount to be invested be P.
The rate of interest for monthly compounding is given as 4.5/12 = 0.375%.
Time is given as 18 months.
This implies number of time period is 18.
Plug n = 18, r = 0.375% and A = 5000 in A = P(1 + r/100)ⁿ as,
⇒ 5000 = P(1 + 0.375/100)¹⁸
⇒ P = 4677.26
Hence, the amount of money that should be invested is obtained as $4677.26.
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Your family drives to 3 locations on a trip. The distance between the locations is 47.8, 72, and 65.9 miles. What is the total number of miles driven?
Answers
Answer: 185.7 miles
Step-by-step explanation:
To find the total distance, add the smaller distances together.
47.8 + 72 + 65.9 = 185.7
Find the values of x for which the function is continuous.
f(x) =
−3x + 7 if x < 0
x^2 + 7 if x ≥ 0
a.x ≠ 0
b.x ≥ 0
c.x ≥ root square 7
d.all real numbers
e.x ≠ 7
Answers
It looks like the given function is
\(f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}\)
The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if
\(\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7\)
To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :
\(\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7\)
To the right of x = 0, we have x > 0 and f(x) = x² + 7 :
\(\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7\)
So f(x) is continuous at x = 0, and hence continuous for all real numbers.
380 is 40% of which number
Answers
Answer:
950
Step-by-step explanation:
380x100 divided by 40=950
Answer: 950
Step-by-step explanation:
a baseball diamond is a square with side ft. a batter hits the ball and runs toward first base with a speed of . at what rate is his distance from second base decreasing when he is halfway to first base? at what rate is his distance from third base increasing at the same moment?
Answers
When the batter is halfway to first base in a baseball diamond, the rate at which his distance from second base is decreasing is 0 ft/s, while the rate at which his distance from third base is increasing is √2 ft/s.
To analyze the situation, we can consider the geometry of the baseball diamond. Since the diamond is a square, each side has a length of ft.
When the batter is halfway to first base, he forms a right triangle with second base and third base. The hypotenuse of this triangle represents the distance from second base to third base, which is √2 times the length of one side of the square.
At this moment, the batter is moving directly towards first base, which is perpendicular to the line connecting second and third base. Therefore, the rate at which his distance from second base is decreasing is 0 ft/s since he is not changing his distance from second base.
On the other hand, the rate at which his distance from third base is increasing can be calculated. Since the hypotenuse (distance from second base to third base) is √2 times the length of one side, we can differentiate with respect to time to find the rate of change. Thus, the rate at which his distance from third base is increasing is √2 ft/s.
Therefore, when the batter is halfway to first base in a baseball diamond, his distance from second base is not changing, while his distance from third base is increasing at a rate of √2 ft/s.
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Select all factors of the following polynomial: 5p3 + 45p2 + 40p
Answers
Answer:
\(\huge\boxed{5p;\ (p+1)}\)
Step-by-step explanation:
\(5p^3+45p^2+40p=5p(p^2+9p+8)=5p(p^2+p+8p+8)\\\\=5p\bigg[p(p+1)+8(p+1)\bigg]=5p(p+1)(p+8)\\\Downarrow\\\boxed{5p};\ \boxed{(p+1)};\ \boxed{(p+8)}\)
the factors for the given expression are
\(5p, p+1, p+8\)
Given :
Given expression is \(5p^3 + 45p^2 + 40p\)
Lets factor the given trinomial by factoring out GCF that is greatest common factor
Lets find out GCF from the given expression
all the terms are divisible by 5 and also we have 'p' in common
so GCf is 5p
\(5p^3 + 45p^2 + 40p\\5p\left(p^2+9p+8\right)\\\)
Now we factor \(\left(p^2+9p+8\right)\)
Product is 8 and sum is 9
So factors are 8 and 1
\(5p\left(p^2+9p+8\right)\\5p\left(p+1\right)\left(p+8\right)\)
So the factors are
\(5p, p+1, p+8\)
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Which of the following scenarios could be represented by the equation below?
1,000 + 1,200m = 1,500 + 1,175m
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,000 and $1,500 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,200 and $1,175 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,000 and $1,500 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,200 and $1,175 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,000 and $1,200 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,175 and $1,500 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,000 and $1,200 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,175 and $1,500 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,200 and $1,000 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,500 and $1,175 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,200 and $1,000 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,500 and $1,175 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,000 and $1,200 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,500 and $1,175 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
Answers
To rent an apartment at Cedar Ridge Apartments, Eli has to pay a security deposit of $1,000 and $1,200 a month in rent, m. To rent an apartment at Northview Apartments, Andrew has to pay a security deposit of $1,500 and $1,175 a month in rent, m. How many months will it take for Eli and Andrew to have spent the same amount on their apartment deposit and rent?
Had this same question on my math test.
The table shows the number y of muffins baked in x pans. What is the missing y-value that makes the table represent a linear function?
Answers
Answer:
24
Step-by-step explanation:
Edmond doubled the width of the crate. How do the perimeter and the area of the floor of the new crate compare to those of the original crate? Original:length = 1.2 metres width = 0.8 metres
Answers
Answer:
The area would be doubled also
The perimeter will be increased in a factor of 1.4
Step-by-step explanation:
Originally the area of new crate = L * B = 1.2 * 0.8 = 0.96 m^2
perimeter is 2(L+ B) = 2(1.2 + 0.8) = 4 m
Now let’s double the width , it becomes 0.8 * 2 = 1.6 m
Area would be 1.6 * 1.2 = 1.92 m^2 which is two times the previous area
The increased perimeter will be 2(1.6 + 1.2) = 5.6 m
This is an increase in factor of 1.4
researcher wants to support the claim that wearing earplugs will reduce the chance of hearing loss. the researcher conducted the appropriate 2 population t-test with a treatment and control group and got a p-value less than a significance level of 5%. the researcher then claimed with 95% confidence that wearing earplugs will reduce the chance of hearing loss. is this reasoning valid?
Answers
Two- tailed t- test, determined the 97.5% confidence level for p-value less than a significance level of 5%. So, researcher claims with 95% confidence that wearing earplugs will reduce the chance of hearing loss is also correct.
We have specify that a researcher wants to support the claim that wearing earplugs will reduce the chance of hearing loss.
Significance level= 5% = 0.05
P-value< 0.05
Now, the p-value for a two tailed test is computed by = 2× Area of the lower tail on one side. Here, P-value< 0.05, therefore Area of the lower tail on one side < 0.05 / 2
=> p-value for a one tailed test < 0.025
that represents the 97.5% confidence level. So, the researcher can actually claim here even at 97.5% confidence level that wearing earplugs will reduce the chance of hearing loss but even concluding at any confidence level less than 97.5% would be correct. Therefore the researcher is not incorrect in concluding here the given concluion at 95% confidence level.
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The scale along each als is 1.State the interval where f (2)
Answers
We have the following:
replacing:
\(\begin{gathered} f(2)The answer is the interval (-6, 9)
7n-4=31 what does n equals ?
Answers
Answer
n = 5
Explanation
We need to solve for n in the equation given
7n - 4 = 31
Add 4 to both sides
7n - 4 + 4 = 31 + 4
7n = 35
Divide both sides by 7
(7n/7) = (35/7)
n = 5
Hope this Helps!!!
Student borrowers now have more options to choose from when selecting repayment plans. The standard plan repays the loan in up to 10 years with equal monthly payments. The extended plan allows up to 25 years to repay the loan. Suppose that a student borrows $55,000 at 4.66% compounded monthly.
a) Find the monthly payment and total interest paid under the standard plan over 10 years.
b) Find the monthly payment and total interest paid under the extended plan over 25 years.
Answers
a) Monthly payment under the standard plan over 10 years:
It is given that, P = $55,000r = 4.66% per annum compounded monthly
n = 10 × 12 = 120 months
Let the monthly payment be A. Using the formula for monthly payments of a loan,
we have: P = A [{(1 + r)n - 1} / r]A = P / [{(1 + r)n - 1} / r]A = $55,000 / [{(1 + 0.0466 / 12)¹²⁰ - 1} / (0.0466 / 12)]
A = $580.29
Therefore, the monthly payment under the standard plan over 10 years is $580.29.
Total interest paid under the standard plan over 10 years:
Total interest paid = Total amount paid - Loan amount= (A × n) - P
= ($580.29 × 120) - $55,000
= $69,634.80 - $55,000
= $14,634.80
Therefore, the total interest paid under the standard plan over 10 years is $14,634.80.
b) Monthly payment under the extended plan over 25 years:
It is given that, P = $55,000r = 4.66% per annum compounded monthly
n = 25 × 12 = 300 months
Let the monthly payment be B. Using the formula for monthly payments of a loan,
we have: P = B [{(1 + r)n - 1} / r]B = P / [{(1 + r)n - 1} / r]B = $55,000 / [{(1 + 0.0466 / 12)³⁰⁰ - 1} / (0.0466 / 12)]B = $319.36
Therefore, the monthly payment under the extended plan over 25 years is $319.36.
Total interest paid under the extended plan over 25 years:
Total interest paid = Total amount paid - Loan amount= (B × n) - P= ($319.36 × 300) - $55,000
= $95,808.00 - $55,000= $40,808.00
Therefore, the total interest paid under the extended plan over 25 years is $40,808.00.
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Midpoints & endpoints
Answers
Answer:
The coordinates of A are (1, -4)
Step-by-step explanation:
The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)
However, in this problem, we're already given the midpoint. We're trying to find an endpoint. So, the equation changes into:
((x + 9) / 2 = 4, (y + 0) / 2 = -2)
For the x and y coordinates, multiply both sides by 2
(x + 9 = 8, y = -4)
(x = -1, y = -4)
Rewrite as coordinates.
(-1, -4)
Alice is playing a game in which she will roll 4 6-sided dice at the same time. She gets 5 points for each die that shows an even result. Let x represent the total number of points awarded on any given toss of the dice. What is the expected value of x? A. 1/2 B. 2 C. 10 D. 15 E. 20
Answers
The number of points is simply 5 times this random variable, and E(C*Y) = C*E(Y), where C is a constant and Y is a random variable, according to expected value principles. As a result, E(X) = 5*2 = 10.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
The number of dice that are showing an even number is a binomial random variable with n = 4, and p = 1/2 (because half the faces on the die are even and half are odd).
The expected value of this random variable is n*p = 4*1/2 = 2.
The number of points is simply 5 times this random variable, and by the rules of expected value, E(C*Y) = C*E(Y), where C is a constant and Y is a random variable. Thus E(X) = 5*2 = 10.
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Simplify the expression 7 - X-(-5x) - 10 + 4x.
Answers
=7-x+5x-10+4x
= -x+5x+4x+7-10
=4x+4x-3
=8x-3
Hope this can help.
Kathy is financing $218,675 to purchase a house. she obtained a 30/10 balloon mortgage at 3.35%. what will her balloon payment be?
Answers
With a principal balance of $218,675 and an interest rate of 3.35%, Kathy's balloon payment on her 30/10 balloon mortgage will be around $176,773.
A balloon mortgage is a type of loan with fixed monthly payments for a set amount of time, in this case 30 years, but a sizable final payment due at the end of the term, in this case after 10 years, known as the balloon payment.
We must figure out the remaining principal balance after the original 30-year period in order to calculate the balloon payment. To determine this amount, we can utilise an amortisation schedule.
Using the method for a fixed-rate mortgage, we can get the monthly payment using the loan amount of $218,675, the interest rate of 3.35%, and the period of 30 years. The equation is:
\(M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)\)
where n is the total number of payments (30 years multiplied by 12 months), M is the monthly payment, P is the loan balance, r is the monthly interest rate (3.35% divided by 12), and P is the loan amount.
By deducting the principal payments made over the first 10 years from the initial loan amount after calculating the monthly payment, we can calculate the residual principal balance after the first 10 years. The balloon payment will be made on this outstanding balance.
The result of the monthly payment calculation is $963.
Kathy will have paid 120 payments (120 divided by 10) after 10 years. Using the amortisation plan, we determine that there will be roughly $41,902 left on the principle balance after 10 years. This sum is the completed balloon payment.
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Find the mode of the following number of times each machine in a car factory needed to be fixed within the last year.
2,5,6,12,14,12,6,2,5,3,14,5
Answers
the mode of the given data set is 5.
To find the mode of the given set of data, we need to determine the value(s) that occur(s) most frequently.
The data set is: 2, 5, 6, 12, 14, 12, 6, 2, 5, 3, 14, 5
To find the mode, we can count the frequency of each value and identify the value(s) with the highest frequency.
Frequency of each value:
2 occurs 2 times
5 occurs 3 times
6 occurs 2 times
12 occurs 2 times
14 occurs 2 times
3 occurs 1 time
From the data, we can see that the value 5 appears most frequently, occurring 3 times. Therefore, the mode of the given data set is 5.
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Please Help 100 POINTS!!!
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
Solve the equation: sin x = 7/11. Round your answer to the nearest tenth.
Answers
Answer:
I'm about 99.9% sure you need to know what theta is (x) so you can solve this
Step-by-step explanation:
Either that or the answer would be 0.7
he owner of a local grocery chain claims that the true mean checkout time for customers is less than 12 minutes. in order to test her claim she took a random sample of 64 customers and obtained the sample mean checkout time of 11.4 minutes with a standard deviation of 2.4 minutes. compute t he test statistic value for testing the pair of hypothesis
Answers
The required value of the t-test statistic is -2 for testing the pair of hypotheses.
To compute the test statistic for this hypothesis test, we need to use the formula for the t-statistic:
t = (x - μ) / (s / √n)
where x is the sample mean, μ is the population mean (in this case, the true mean checkout time that the owner is claiming), s is the sample standard deviation, and n is the sample size.
Plugging in the given values, we get:
t = (11.4 - 12) / (2.4 / √64) = -0.6 / 0.3 = -2
So, the test statistic value is -2. This value can be used to determine the p-value, which can be compared to a significance level to determine whether to reject or fail to reject the null hypothesis.
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What is the difference between 4.091 and 2.174?
A
6.265
B
2.123
с
2.117
D
1.917
Answers
Answer:
D
Step-by-step explanation:
4.091-2.174= 1.917
dorothy is making passed appetizers. she has leftover raw salmon, dairy products, a baguette, and some random herbs. what can she make? when utilizing left over products for a passed appetizer, first determine is this going to be cold or hot? when you determine that, you will need a , and then your and garnish.
Answers
Experiment with different combinations and flavors to create unique and delicious passed appetizers using the leftover ingredients.
When utilizing leftover raw salmon, dairy products, a baguette, and random herbs for passed appetizers, Dorothy has several options to consider. The choice between cold or hot appetizers will depend on her preferences and the available cooking equipment. Here are a few ideas for both cold and hot appetizers:
Cold Appetizers:
Salmon Bruschetta: Slice the baguette and top each slice with thinly sliced raw salmon. Add a dollop of herbed cream cheese or yogurt on top and garnish with fresh herbs.
Smoked Salmon Canapés: Cut the baguette into small rounds and top each with a spread of cream cheese or crème fraîche. Place a piece of smoked salmon on top and garnish with dill or chives.
Salmon Tartare: Finely chop the raw salmon and mix it with diced onions, capers, and a creamy dressing made with dairy products. Serve it on toasted baguette slices and garnish with herbs.
Hot Appetizers:
Salmon Croquettes: Combine leftover raw salmon with mashed potatoes, herbs, and breadcrumbs. Shape the mixture into small patties and pan-fry them until golden brown. Serve with a dip made from dairy products and herbs.
Salmon Stuffed Mushrooms: Remove the stems from large mushrooms and fill the caps with a mixture of cooked salmon, cream cheese, herbs, and breadcrumbs. Bake them until the mushrooms are tender and the filling is golden.
Salmon and Cream Cheese Puff Pastry Pinwheels: Roll out puff pastry dough and spread a layer of cream cheese mixed with herbs. Place strips of smoked salmon on top and roll the pastry into a log. Slice into pinwheels and bake until golden and puffed.
Remember to adjust the recipes based on the available ingredients and personal preferences. Experiment with different combinations and flavors to create unique and delicious passed appetizers using the leftover ingredients.
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