Therefore, the probability of rolling either a total greater than 9 or a multiple of 5 is 17/36.
Let's first find the probability of rolling a total greater than 9. To do this, we can list all the possible outcomes of rolling two number cubes and count the number of outcomes that have a total greater than 9. There are 36 possible outcomes, since each cube can show one of six numbers. Of these outcomes, there are 12 that have a total greater than 9: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6) on either cube. Therefore, the probability of rolling a total greater than 9 is 12/36 = 1/3.
Next, let's find the probability of rolling a multiple of 5. Again, we can list all the possible outcomes and count the number of outcomes that have a multiple of 5. There are 36 possible outcomes, and 7 of these have a multiple of 5: (1,5), (2,5), (3,5), (4,5), (5,1), (5,2), and (5,3). Therefore, the probability of rolling a multiple of 5 is 7/36.
Now we need to subtract the probability of both events occurring simultaneously. There are two outcomes that satisfy both conditions: (5,5) and (6,4). Therefore, the probability of rolling both a total greater than 9 and a multiple of 5 is 2/36 = 1/18.
To find the probability of rolling either a total greater than 9 or a multiple of 5, we add the probabilities of these events and subtract the probability of both occurring simultaneously:
P(total > 9 or multiple of 5) = P(total > 9) + P(multiple of 5) - P(total > 9 and multiple of 5)
= 1/3 + 7/36 - 1/18
= 12/36 + 7/36 - 2/36
= 17/36
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What is 43.2 divided by 16?
Use partial quotients to show your work.
Answer: 43.2 divided by 16 equals two point seven (2.7).
Step-by-step explanation: Look at the TXT file below for proof!
Mark this answer as the "Brainilest" if you get it correct so other people can refer to this!
Answer: 27
HOPE THIS HELPS
y= 24 will this be a vertical or horizontal line?
It will be a horizontal line
Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x?(1 point)
Responses
23−7x−4+11x
14(2x+5+11x)
14(2x+5)+11x
23−18x−45+11x
The Distributive Property applied on 23−18x−45+11x.
What is Distributive Property?The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Given:
23−9(2x+5)+11x
According to Distributive Property
a x ( b + c) = a x b + a x c
So, 23−9(2x+5)+11x
= 23- 18x - 45 + 11x
= -22 - 7x
Hence, the Distributive Property applied on 23−18x−45+11x.
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Which polygon has fewer than five lines of symmetry?
Answer:
Regular Polygons
Step-by-step explanation:
A plant starts with 1 branch. Every year,
each branch becomes 3 branches. A
sketch of the plant for the first 3 years is
shown. How many branches will the plant
have in year 10?
TYP
I V
Year 1
Year 2
Year 3
How many branches would the plant
have in year 10 if the plant ad
5 branches the first year? (Each branch
still becomes 3 branches every year.
Answer:
120
Step-by-step explanation:
we go add 3+1=4 and then 4×3=12 and then 12×10=120
The total amount of the food came to $47. 50. But the restaurant also charges 6% sales tax on the total. The server was not great, so you left a 15% tip. How much will they pay at the restaurant’s register, including sales tax and tip?
The pay at the restaurant’s register, including sales tax and tip will be $ 57.475.
The sales tax amount = 47.50 × 6%
Calculating percentage on Right Hand Side of the equation
The sales tax amount = 2.85
Total amount of bill and sales tax = 47.50 + 2.85
Performing addition on Right Hand Side of the equation
Total amount of bill and sales tax = $50.35
Tip amount = 47.50 × 15%
Performing multiplication on Right Hand Side of the equation
Tip amount = 7.125
Total amount of bill and sales tax = 50.35 + 7.125
Performing addition on Right Hand Side of the equation
Total amount of bill and sales tax = $57.475
Hence, the total pay is $ 57.475.
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Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.
Answer:
the common factor in the given algebraic expressions: x(a-b), y (b-a)
Step-by-step explanation:
(x-y)(a-b)the region bounded by the given curves is rotated about the specified axis. find the volume of the resulting solid by any method. x = (y − 7)2, x = 16
The volume of the solid formed by rotating the region bounded by x = (y - 7)^2 and x = 16 about the x-axis can be found using the method of cylindrical shells with the integral ∫(0 to 9) 2πx * (16 - (y - 7)^2) dy.
To find the volume of the solid formed by rotating the region bounded by the curves x = (y - 7)^2 and x = 16 about the x-axis, we can use the method of cylindrical shells. The region is bounded by y = 0 and y = 9, which are the limits of integration.
The height of each cylindrical shell is given by h(x) = 16 - (y - 7)^2. We can express this as h(x) = 16 - (x^(1/2) - 7)^2. Using the formula for volume V = ∫(0 to 9) 2πx * h(x) dx, we integrate this expression with respect to x. Evaluating the integral will give us the volume of the resulting solid.
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what is the expected number of sixes appearing on three die rolls
To find the expected number of sixes appearing on three die rolls, we can calculate the probability of rolling a six on each individual roll and then multiply it by the number of rolls.
The probability of rolling a six on a single roll of a fair die is 1/6, since there are six equally likely outcomes (numbers 1 to 6) and only one of them is a six.
Since the rolls are independent events, we can multiply the probabilities together to find the probability of rolling a six on all three rolls:
(1/6) * (1/6) * (1/6) = 1/216
Therefore, the probability of rolling a six on all three rolls is 1/216.
To find the expected number of sixes, we multiply the probability by the number of rolls:
Expected number of sixes = (1/216) * 3 = 1/72
So, the expected number of sixes appearing on three die rolls is 1/72.
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1. Two containers are being filled with water. One begins with 10 gallons of water and is filled at a rate of 2.5 gallons per minute. The other begins with 24 gallons and is filed at 2.25 gallons per
minute.
Part A: Write an equation that represents the amount of water w, in gallons, with respect to time t, in minutes, for each container
Part B: Solve the system of equations. Show your work
Part C: How long would it take for both of the containers to have the same amount of water? How much water would be in each container?
Answer: PART A:
w-3.5 t=8
w-3.25t=24
PART B:
t=64
and w= 232
PART C:
It will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
PART A:
Let the water is filling in 't' minutes.
and 'w' denotes the amount of water in the container.
for container 1:
One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.
The equation is given by:
or
for container 2:
The other begins with 24 gallons and is filled at 3.25 gallons per minute.
The equation is given by:
or
PART B:
on solving equation (1) and equation (2) by method of elimination we get:
subtract equation (2) by equation (1) to obtain:
t=64
and putting the value of t in equation (1) to obtain:
w= 232
PART C:
Hence it will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
What are the solutions of the equation? y=-7(x-3)(x+4)
Answer: y=−7x^2−7x+84
Step-by-step explanation: Hope this help :D
Wyatt is paying back a loan with a nominal interest rate of 13.62%. if the interest is compounded quarterly, how much greater is wyatt’s effective interest rate than his nominal interest rate?
a. 0.96 percentage points
b. 0.40 percentage points
c. 0.25 percentage points
d. 0.71 percentage points
please select the best answer from the choices provided a b c d
0.71 percentage points greater is wyatt’s effective interest rate than his nominal interest rate.
What is intrest?Interest is a fee paid by a borrower to a lender for the use of borrowed money. It is calculated as a percentage of the amount borrowed, and is usually paid periodically at intervals. Interest is generally considered to be a form of compensation for the time and risk taken by the lender in providing a loan or other form of credit.
The effective interest rate is calculated by taking the (1 + nominal interest rate/number of compounding periods per year) to the number of compounding periods per year power minus 1. In this case, the effective interest rate would be 0.1362 x (1 + 0.1362/4)^4 - 1, which is 0.1439 or 14.39%. The difference between the nominal interest rate of 13.62% and the effective interest rate of 14.39% is 0.71 percentage points.
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Please help !!! It’s emergency
Given the quadratic equation ax^2 + bx +c, complete the square to derive the quadratic formula
Answer:
The derivation of this formula can be outlined as follows: Divide both sides of the equation ax2 + bx + c = 0 by a. Transpose the quantity c/a to the right side of the equation. Complete the square by adding b2 / 4a2 to both sides of the equation.
Answer:
in photo
Step-by-step explanation:
find the coordinates of the intersection of the diagonals of ABCD with the given vertices
A(3,6) B(5,8) C(3,-2) and D(1,-4)
The coordinate from point of intersection is (3, 11)
What is the coordinate of the intersecting diagonalsTo find the intersection point of the diagonals of ABCD, we need to find the point where the lines containing the diagonals intersect.
The diagonal connecting A and C has slope:
m₁ = (y₂ - y₁) / (x₂ - x₁)
= (-2 - 6) / (3 - 3)
= undefined
This is because the line is vertical, and so has no slope. However, we can still write an equation for this line using the x-coordinate of point C:
x = 3
The diagonal connecting B and D has slope:
m₂ = (y₂ - y₁) / (x₂ - x₁)
= (-4 - 8) / (1 - 5)
= -3/2
We can write an equation for this line using point-slope form and the coordinates of point B:
y - y₁ = m₂(x - x₁)
y - 8 = (-3/2)(x - 5)
y - 8 = (-3/2)x + 15/2
y = (-3/2)x + 31/2
Now we can find the point of intersection by solving the system of equations given by the two lines:
x = 3
y = (-3/2)x + 31/2
Substituting x = 3 into the second equation, we get:
y = (-3/2)(3) + 31/2
y = 22/2
y = 11
The coordinate is (3, 11)
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How many different committees of six people can be selected from nine people?
ANSWER
\(84\)EXPLANATION
To find the number of committees of six people that can be selected from nine people, we apply Combination:
\(^nC_r=\frac{n!}{(n-r)!r!}\)Therefore, we have:
\(\begin{gathered} ^9C_6=\frac{9!}{(9-6)!6!} \\ \Rightarrow\frac{9\cdot8\cdot7\cdot6!}{3!6!} \\ \Rightarrow\frac{9\cdot8\cdot7}{3\cdot2\cdot1} \\ \Rightarrow84 \end{gathered}\)Hence, there are 84 different ways of selecting.
It takes Santa a total distance of 1800 miles to cover a portion of his
Texas route, he does this in 3 hours, how fast is Santa moving? *
2400 mph
600 mph
350 mph
150 mph
please help!! hurry
Answer:
the answer is 600mph
Step-by-step explanation:
because 1800miles/3 hours=600mph
Answer:
600 mph
Step-by-step explanation:
In order to find the answer you must solve using this formula:
S=D/T
Where S is speed, D is distance, and T is time
You have time and distance, so you have to plug those into the formula:
S=1800/3
Then all you have to do is divide 1800/3 and get 600 for speed.
**Unit 10: Circles, Homework 6: Arcs & Angle measures**
I need help doing this question (I would really appreciate it):
Answer: 5
Step-by-step explanation:
Explanation in image
The measure of x using the circle property is 5 degree.
Given:
<A = 17x - 23
As, sum of all parts or angles in a circle is equal to 360 degrees
So, 81 + 74 + x = 360
x + 155 = 360
x = 360- 155
x = 205 degree
Now, using the formula
angle A = Far arc- near arc / 2
17x - 23 = (205 - 81) /2
17x - 23 = 62
17x = 62 + 23
17x = 85
Divide both side by 17
x= 5
Thus, the value of x is 5.
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Solve the quadratic equation 9x ^ 2 - 6x = 11 using the quadratic formula.
Answer:
x = 1.48803, x= -0.821367
Step-by-step explanation:
9x²-6x=11
9x²-6x-11=0
use quadratic formula: x = [- b ± √b²- 4ac)]÷ 2a
Answer:
x =1+2{3 over 3
Step-by-step explanation:
Question attached as screenshot below: Please help me with my homeworkI am paying attention
The limit is 1/5
Explanation:Given the function:
\(\frac{\sqrt[]{x^2+24}-5}{x-1}\)Taking this limit as x approaches 1, we have:
\(\begin{gathered} \frac{\sqrt[]{1^2+24}-5}{1-1}=\frac{\sqrt[]{25}-5}{1-1} \\ \\ \frac{5-5}{1-1}=\frac{0}{0} \end{gathered}\)This result means we need to apply a different method.
We apply L'hopital's rule, by taking the derivatives of the numerator and denominator as follows:
\(\begin{gathered} \frac{2x\times\frac{1}{2}(x^2+24)^{-\frac{1}{2}}}{1} \\ \\ =x(x^2+24)^{-\frac{1}{2}} \end{gathered}\)Now, taking the limit as x approaches 1, we have:
\(\begin{gathered} 1(1^2+24)^{-\frac{1}{2}} \\ \\ =\frac{1}{\sqrt[]{25}}=\frac{1}{5} \end{gathered}\)Tommy and Arnold are playing with water balloons. Arnold is standing by a bush that is 20 feet from where Tommy is standing. Tommy released a water balloon at 5 feet above the ground and hits Arnold’s chest- which is also 5 feet above the ground. The balloon reached a maximum height of 15 feet off the ground. using Tommy’s location as the starting point, help Tommy write an equation that describes the path of the water from the point of release to Arnold's chest. Using the equation y=a(x-h)^2+k
Answer:
The equation that describes the path of the water balloon is:
\(y =-\frac{1}{10}\cdot (x-10)^{2}+15\)
Step-by-step explanation:
The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from \(A(x,y) = (0\,ft, 5\,ft)\) and hits Arnold at \(B(x,y) = (20\,ft, 5\,ft)\). Given the property of symmetry of quadratic function, water ballon reaches its maximum at \(C(x,y) = (10\,ft,15\,ft)\), which corresponds to the vertex of the standard equation of the parabola, whose form is:
\(y = a\cdot (x-h)^{2}+k\) (Eq. 1)
Where:
\(a\) - Vertex parameter, measured in \(\frac{1}{ft}\).
\(h\), \(k\) - Horizontal and vertical components of the vertex, measured in feet.
\(x\), \(y\) - Horizontal and vertical location of the ball, measured in feet.
If we know that \(x = 0\,ft\), \(y = 5\,ft\), \(h = 10\,ft\) and \(k = 15\,ft\), the vertex parameter is:
\(5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft\)
\(a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}\)
\(a = - \frac{1}{10}\,\frac{1}{ft}\)
The equation that describes the path of the water balloon is:
\(y =-\frac{1}{10}\cdot (x-10)^{2}+15\)
3) There are 4 oranges, 7 bananas, and 5 apples in a basket.
Ryan randomly selects a piece of fruit and then Kaylle
randomly chooses a piece of fruit. What is the probability
that they both choose bananas?
Answer:
7/256
Step-by-step explanation:
4+7+5=16, so the odds of getting a specific fruit is the amount of the fruit/16 (e.g. oranges is 4/16). The odds of one person getting a banana is 7/16. 16*16=256, so the odds of two people selecting a banana is 7/256.
Which expression is equivalent to5(h+9)
Answer:
The answer would be 5h+45
Step-by-step explanation
5 (h+9)
You need to convert this equation into the equation
you multiply 5 by h and get 5h
Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45
Once you have 5h and 45 just put it together with the addition symbol which will will equal:
5 (h+9) = 5h + 45
Your Welcome! (hopefully this answers your question)
Please answer the question and leave an explanation on how to solve each part. Thank you in advance
The solution that we have here is a combination question not a permutation.
How to solve for the combination2.You can order pizza with: 1, 2, 3, 4 toppings for $10.
The ways to do the ordering are
18C1 = 18 ways18c2= 18!/(18-2)!2! = 153 ways of ordering18c3 = 18!/(18-3)!3! = 816 ways of ordering18C4 = 18!/(18-4)!4! = 3060 ways of orderingIn total there would be 3060+816+153+18=4047 ways of ordering for the pizza.
3. Given 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and there are no restrictions, we would have
2¹⁸ ways of ordering = 262144 ways
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consider the following artificial data set: 5, 5, -10, 6, -3, -3 what is the sample size?
The sample size is 6.
A sample size refers to the number of observations or elements in a sample, and it is an important factor in statistics because it determines the representativeness and reliability of the sample.
When a sample size is small, there is a higher chance that the sample may not accurately represent the population, leading to biased results. On the other hand, when the sample size is large, the sample is more likely to accurately reflect the population, and the results are more reliable.
In this case, the sample size is 6, which could be considered a small sample size, but depending on the context and the purpose of the analysis, it could still provide meaningful results. However, it's always advisable to have a larger sample size for more robust results.
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Someone pls help me with this I will make you brain
Answer:
f(2) = 2
f(3) = -9
so the value of f(2) is larger than f(3) is your answer
5+ k When K= 6 what should I do?
Answer: 11
Step-by-step explanation:
5 + k If k is equal to 6 then input 6 in for k and solve.
5 + 6 = 11
Answer:
11
Step-by-step explanation:
If it says K = 6, just replace K with 6.
5 + k
5 + 6
11
The table summarizes data about the median debt for
graduating students from a sample of universities in two
states, California and New York
median debt less than
$9.000
median debt at least
$9.000
total
California
universities
130
445
575
shoe preference
New York
universities
271
343
total
202
716
918
concludes that
so possible
ation between
d shoe
ence is Jada's
sion reasonable?
n your reasoning
Is there an association between the state and the amount
of median debt for graduates? Explain your reasoning.
Answer:
No
Step-by-step explanation:
There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.
6 weeks = _________ days
you guys so good help me out
Answer:
6 weeks is equals to 42 days
3 3/5 x (-8 1/3) iready please help
Answer: -30
Step-by-step explanation:
I just plugged it into a calculator hehe.
Please quick A car travels 320 miles on 10 gallons of gas. How far could the car travel on 25 gallons of gas?
Answer:
800 miles.
Step-by-step explanation:
He would travel 800 miles because 320 divided by 10 is 32. 32 multiplied by 25 is 800.
Hope this helps!