Answer:
U just said a random thing
Step-by-step explanation:
12. P (7,r) = 5040. Find r
A. 5
B. 6
C. 7
D. 8
Answer:
B
Step-by-step explanation:
P(7,r) = 5040
[tex]P(n,r)=\dfrac{n!}{(n - r)!}\\\\\\n = 7 \\\\\dfrac{7!}{(7 - r)!}=5040\\\\\\7! = (7-r)!*5040\\\\(7-r)!=\dfrac{5040}{7*6*5*4*3*2*1}\\\\\\(7-r)!=\dfrac{5040}{5040}\\\\\\(7-r)!=1\\\\[/tex]
(7 - r)! = 1!
7 -r = 1
7 = 1 + r
7 - 1 = r
r = 6
Answer:
12. B or C
13. C
14. A
15. A
Step-by-step explanation:
These problems involve various counting techniques. For combinations and permutations, there are formulas to aid in the counting. For other situations, you may need to list possibilities.
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12.P(7, r) = 5040 . . . . . given
P(7, r) = 7!/(7 -r)! = 5040
5040/(7 -r)! = 5040 . . . . . evaluate 7!
(7 -r)! = 1 . . . . . . . . . . . multiply by (7-r)!/5040
We know that both 0! and 1! = 1, so this has two solutions:
7 -r = 0 ⇒ r = 7
7 -r = 1 ⇒ r = 6
Both choices B and C are correct.
The attached calculator output confirms this result.
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13.The formula of choice C is correct:
C(n, r) = n!/((n-r)!r!)
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14.The number of permutations of the 9 letters is reduced by the numbers of permutations of letters that are indistinguishable. That is, the 9 letters can be rearranged 9! ways, but the 4 Es are indistinguishable, so a factor of 4! must be removed from that result. Similarly, the two Ns and two Ss are indistinguishable, so additional factors of 2! must be removed. The number of arrangements is ...
9!/(4!2!2!) . . . . matches choice A
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15.The 5 students can be arranged in 5 consecutive chairs in P(5, 5) = 5! = 120 ways. Those 5 consecutive chairs can start in chairs 1 through 6, so there are 6×120 = 720 ways the 5 students can sit together in 10 chairs.
I need these please
Answer:
Step-by-step explanation:
2x+30=180
2x = 150
x = 75
y=30
In a class of 60 children 3/10 we're absent. The rest were present. How many pupils are present.
Answer: 42
Step-by-step explanation:
Answer:
A class of 60 children
3/10 were absent
So we’re trying to find how many pupils are here (kids).
So lets use percentage.
Percentage means out of a hundred so 3/10 is 30/100.
Multiply 10 on each numerator/denominator and you’ll get 30/100.
Now 30/100 is 30 percent.
We are to find 30 percent of 60.
18 pupils are absent.
We’re trying to find who’s here so
60 - 18 = 42
42 pupils are present
Ruby invested $300 in an account paying an interest rate of 6.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 13 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 6.1\%\to \frac{6.1}{100}\dotfill &0.061\\ t=years\dotfill &13 \end{cases} \\\\\\ A=300e^{0.061\cdot 13}\implies A=300e^{0.793}\implies A\approx 700[/tex]
do the lengths 30.1, 0.8, 31 make a triangle & why
Step-by-step explanation:
If this were to make a triangle, then 30.1 and 0.8 would be the shorter sides and 31 would be the longest side.
The sum of the lengths of the shorter sides is 30.1+0
8=30.9.
Since this is less than the length of the segment that would be the longest side, by the triangle inequality theorem, these side lengths would not make a triangle.
30 POINTS sort these numbers from least to greatest
Answer:
(-2)3 -60, s5, 22, -5.1, 36, 78, 97
In a group of 25 students at lunch, 10 prefer ketchup on their hamburger, 10 prefer mustard on
their hamburger, and 5 like both ketchup and mustard on their hamburger. The rest of the
students in the group prefer neither. What is the probability that a student selected from this
group will prefer ketchup or mustard on their hamburger?
Answer:
15/25 or 3/5 or 60%
Step-by-step explanation:
P(K or M) = P(K) + P(M) - P(K and M)
= [tex]\frac{10}{25}[/tex] + [tex]\frac{10}{25}[/tex] - [tex]\frac{5}{25}[/tex]
= [tex]\frac{15}{25}[/tex]
= .6 or 60%
Judy spent 3 hours driving 165 miles She thinks
she can reach her final destination in 4 more hours
if she averages 65 miles per hour. What is the total
length of the trip in miles? [Hint: To find distance,
multiply rate (miles per hour) by time.]
Step-by-step explanation:
she drove already 165 miles.
she will reach her destination, if she drives 4 more hours by going 65 miles/hour.
that would mean she would travel
65×4 = 260 miles
in these 4 hours.
so, the total trip is then 165 + 260 = 425 miles.
but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.
as you can see above, it would make no difference for the calculation of the total trip length in miles.
this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.
if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.
so,
(165 + x)/(3 + 4) hours = 65/hour
(165 + x)/7 hours = 65/hour
165 + x = 65 × 7 hours / hour = 65×7 = 455 miles
x = 455 - 165 = 290 miles
she would have to go
290 miles / 4 hours = 72.5 miles/hour
for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.
and the total trip would be then
165 + 290 = 455 miles
I am not sure, which your teacher wants here.
65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.
again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).
An equilateral triangle forms a semi-regular tessellation with which of the following regular polygons
Answer:
Square and hexagon
Step-by-step explanation:
The half-life of a radioactive kind of tin is 10 days. If you start with 66,048 grams of it, how much will be left after 50 days?
Answer:
The answer is 2064
I need some help with this math problem
it's letter A
because
150×2=300
i hope this helps<3
Write the equation of the line in fully simplified slope-intercept form
Answer:
y=-3x-6
Step-by-step explanation:
What is the exact area of the following circle? *
Area = r^2 x pi
R = 1/2 diameter = 7.5 cm
Area = 7.5^2 x pi
Area = 56.25pi cm^2
Habeeb open a saving account and put 400 Naira into it at the end of 2 years the money had earned 24 Naira simple interest . At what rate percent per annum was the interest paid
Estimate the answer by rounding each fraction to the nearest whole or half and then subtracting.you have to download the image
Answer:
5 37/45
Step-by-step explanation:
9 3/5 - 3 7/9
Find like terms
9 27/45 - 3 35/45
Subtract whole numbers
9 - 3 = 6
Subtract fractions
27/45 - 35/45 = -8/45
Subtract both of the numbers
6 - 8/45 = 5 37/45
Solve the equation. 4^x + 2 = 4^12
Answer:
x = 10
Step-by-step explanation:
To solve, divide both sides by the base number then solve the exponents as an equation.
[tex]4^{x+2} = 4^{12}[/tex]
x = 10
A rollercoaster rises 80 feet before dropping 110 feet. Describe the height of the rollercoaster
Answer:80 + 110
Step-by-step explanation:
Algebra
9.5.3 Test (CST): Polynomials
Question 24 of 25
Add.
(2x - 7) + (3x - 1)
O A. 5x + 8
O B. 5x + 6
O C. 5x - 6
O D. 5x – 8
PREVIOUS
Previous
Can I get some help??
The simplified expression is 5x - 8.
So the correct answer is (D) 5x - 8.
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
To simplify the expression, we need to combine like terms.
(2x - 7) + (3x - 1)
= 2x + 3x - 7 - 1 (grouping like terms)
= 5x - 8 (combining like terms)
Therefore,
The simplified expression is 5x - 8.
Learn more about polynomials here:
https://brainly.com/question/2284746
#SPJ7
4,9,10,10,12,14,17,18,18,19
Answer:
what are you looking for? are you looking for mean,median,and mode,
Step-by-step explanation:
If so here they are.
Mean=13.1
The mean is the average of the numbers in the data set.
Median=13
The median is the middle number from it being sorted least to greatest.
mode=10,18
The mode is the number that appears most in a data set or sometimes numbers like right now it's numbers,both 10 and 18 appear twice.
Range=15
The range is the highest number subtracted by the lowest number. so what is 19 - 4?it is 15.
minimum=4
The minimum in a data set is the lowest number.
Maximum=19
The maximum is the highest number in a data set.
IQR is 8 because the IQR is based on the lower quartile subtracted by the higher quartile so 18 - 10=8
Hope this ws what you was looking for.
Hope it helps have a great afternoon:)
what is the average rate of change for this quadratic function fo rate interval from x=-4 to x=-2
Answer:
ill edit my comment later but is there a graph? its not enough info
Step-by-step explanation:
not enough info i think
Where do I plot the graph coordinates
Step-by-step explanation:
So... where it says Y=4x-1, take the 4x and plot it on the y axis, next on the equation it says -1, plot -1 on the left ( X-axis)
I hope this helps
An irregular polygon is shown below:
4 units
3 units
8 units
The area of the irregular polygon is
square units. (4 points)
Answer:
Step-by-step explanation:
Two rectangles: one is 4 x 3, one is (8 - 4) x (3 - 1)
areas are: 4 x 3 = 12 and 4 x 4 = 16
total area = 12 + 16 = 28 units²
The sum of two numbers is 64. The difference between the numbers is 14. Write a system
to find both numbers. Remember to show all work.
Answer:
They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:
x + y = 64
The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:
x - y = 14
Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.
Which of the following statements does NOT describe measurement? a. measurement is simply the attachment of a number to a quality that is defined by an expert b. in measurement ,we connect a numerical value to a property of an object that we seek to measure c.measurements in standardised unites provides a universal language that can be understood across the globe d. measurement is an action whereby we give a mathematical meaning to a phenomenon
Answer:
A is the correct answer
Step-by-step explanation:
Probably
5x = 40 what does the x going to equal
start by diving 5 from each side so you are lrft with x on the left side, 40/5=8. now our equation is x=8 and that's the answer!
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Given the following question:
[tex]5x=40[/tex]
When solving one-step equations, you need to remember we are trying to isolate the variable. In this case to isolate the variable we need to divide both sides by 5.
[tex]5x=40[/tex]
[tex]5x\div5=x[/tex]
[tex]40\div5=8[/tex]
[tex]x=8[/tex]
Which means the value of x will be "8."
Hope this helps.
The factory makes 400 cars per day.
If the
workday is eight hours long,
what is the hourly rate at which cars
are produced?
Answer:
The answer is 50 cars per hour
Step-by-step explanation:
Simply divide 400 by 8 to get your answer
Hope that helps!
What is the domain?
A: (1, 5]
B: (-2, 2]
C: [-2, 2)
D: [2, -2)
E: [1, 5)
Answer:
B...look at the x axis and what part of the acis the graph is on.
these numbers form an addition and subtraction fact family 6,7,13 what is the correct answer
Answer:
6, 7, 13. Choose the fact family formed by these numbers. 7 + 13 = 20 13 + 7 = 20 13 – 13 = 0 ... 6 x 7=42 42/7=6 Is correct my answer?
1 answer
·
Top answer:
7 + 6 = 13 13 = 7 + 6 13 – 6 = 7 7 = 13 – 6
Step-by-step explanation:
Answer:
13-6=7
13-7=6
7-6=13
6-7=13
Step-by-step explanation:
give brainly if it helps pls :D
4 1\10÷2
[tex]4 \frac{1}{10?} \div 2[/tex]
plssss help
2.05 I think if the question was just 4 1/10 ÷2
[tex]\longrightarrow \sf 2\dfrac{1}{20}[/tex]
Solution:-[tex]\begin{gathered}\\\implies\quad \sf 4 \frac{1}{10} \div 2 \\\end{gathered} [/tex]
Converting to mixed fraction-
[tex]\begin{gathered}\\\implies\quad \sf \frac{4\times 10+1}{10} \div 2 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{41}{10} \div 2 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{41}{10} \div \frac{2}{1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{41}{10} \times \frac{1}{2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{41}{20} \\\end{gathered} [/tex]
Writing final answer again in mixed form
[tex]\begin{gathered}\\\implies\quad \sf 2\frac{1}{20} \\\end{gathered} [/tex]
Quick will give brainlyest. What is the distance between points A and B? Use absolute value to explain your answer.
Answer:
Step-by-step explanation: