Explanation:
There are 8 players. For each player, there are 7 people to shake hands with. So we have 8*7 = 56 handshakes so far; however, we double count since the sequence AB is the same as BA (where A and B are player names). Order does not matter when it comes to shaking hands. So we have to divide by 2 to fix the double count. We go from 56 to 56/2 = 28. There are 28 different combinations.
You can use the formula [tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex] with n = 8 and r = 2, but the formula is a bit confusing to be honest if you aren't familiar with it. The exclamation marks indicate factorials.
Extra info: The value 28 can be found in Pascals triangle. Look at the row that starts with 1, 8, ... then note how 28 is in the third slot. Keep in mind that you start at r = 0 and count up by 1. So r = 2 corresponds to the third slot.
Answer:
8 players in total
Step-by-step explanation:
Please help will mark brainliest
Answer:
26% of people from city B work less than 20 hours
Answer:
26%
Step-by-step explanation:
Look at the row for city B, first column is for "less than 20"
the length of a box of colored pencils is 6 inches, the width is 4 inches, and the height is 3/8 inch. what is the volume of the box?
Answer:
9cm3
Step-by-step explanation:
6 x 4 x 3/8=9cm3
Answer:
9 cm³
Step-by-step explanation:
V = l x w x h
= 6 x 4 x 3/8
= 24 x 3/8
= 9 cm³
which of the following data would best be displayed on a scatter plot to show a definite positive or negative correlation?
answers :
A. Favorite Ice cream flavors and the age of the people who chose them
B. Growth of marigolds and the amount of fertilizer fed to the plants
C. Daily temperatures in Raleigh
D. Number of babies born at several different hospitals
Answer:
╱▔▔▔▔▔▔▔▔▔▔▔▏
┈╱╭▏╮╭┻┻╮╭┻┻╮╭▏
▕╮╰▏╯┃╭╮┃┃╭╮┃╰▏
▕╯┈▏┈┗┻┻┛┗┻┻┻╮▏
▕╭╮▏╮┈┈┈┈┏━━━╯▏
▕╰╯▏╯╰┳┳┳┳┳┳╯╭▏
▕┈╭▏╭╮┃┗┛┗┛┃┈╰▏
▕┈╰▏╰╯╰━━━━╯┈┈▏
Step-by-step explanation:
In circle O, if LP congruent LK, find the measurement of the major arc PNK. A. 112 B.156 C.224 D.248
Answer:
1,5/5=279,3
Step-by-step explanation:
A manufacturer inspects 50 computer monitors and finds that 45 have no defects. What is the experimental probability that a monitor chosen at random has no defects? Express your answer as a percent.
Final answer:
The experimental probability that a randomly chosen monitor has no defects, calculated from inspecting 50 monitors and finding that 45 have no defects, is 90%.
Explanation:
To calculate the experimental probability that a monitor chosen at random has no defects, we divide the number of monitors with no defects by the total number of monitors inspected. In this case, 45 out of 50 monitors have no defects.
Therefore, the experimental probability = (Number of monitors with no defects) / (Total number of monitors) = 45/50 = 0.9
Expressing this as a percent, we multiply by 100 to get 90%. So, the experimental probability that a monitor chosen at random has no defects is 90%.
Kurt is flying his airplane over a campground. He spots a small fire below at an angle of depression of 32 degrees. If the horizontal distance from Kurt’s plane to the fire is 3600 feet, find the approximate altitude of his plane.
Answer:
3293 ft to nearest tenth = side
Step-by-step explanation:
To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).
sin (32) = 0.9271838546
3600/0.9271838546 = 3882.725074
= 3883 ft to nearest tenth. = slope
Then cos (32)x3882.725074 = 3292.737608
= 3293 ft to nearest tenth = side
The plane flying with an angle of depression of 32 degrees to a small fire below has an altitude of 2250 ft.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the horizontal distance from the kurt's plane to the fire is the adjacent side of the right triangle.
The altitude of the plane is the opposite side of the triangle.
Hence,
tan 32 = opposite / adjacent
tan 32° = h / 3600
cross multiply
h = 3600 tan 32°
h = 3600 × 0.6248693519
h = 2249.52966687
h = 2250 ft
Therefore, the approximate altitude of the plane is 2250 ft.
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Find the surface area of the prism.
Answer:
36 in.
Step-by-step explanation:
1/2 x (12+6) x 4
1/2 x 18 x 4
9 x 4
36
if 9y^2-21y+8 is written as p^2-7p+8 what is p in terms of y
Answer:
p = 3y
Step-by-step explanation:
Compare like terms in both expressions, that is
- 7p = - 21y ( divide both sides by - 7 )
p = 3y
and as a check
p² = (3y)² = 9y²
The value of p is in terms of y as p = 3y
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Given that if 9y²-21y + 8 is written as p²-7p + 8
⇒ 9y²- 21y + 8 = p²-7p + 8
Comparing similar terms in the two expressions, that is
⇒ - 7p = - 21y
Divide both sides by - 7
⇒ p = 3y
And p² = (3y)²
⇒ p² = (3y)²
⇒ p² = 9y²
⇒ p = 3y
Hence, the value of p is in terms of y as p = 3y
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5⁸
– = 5ⁿ
5⁴
work out the value of n.
Answer:
5 power 2 is the answer
Step-by-step explanation:
which of the following is true about the function y=0.5 x 2^x
Answer:
x
y
−
2
2
−
1
0.5
0
0
1
0.5
2
2
Step-by-step explanation:
Answer:
If the value of x increases by 1, the value of y will double.
Step-by-step explanation:
i just took the thingy
Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to
help answer the question.
0.00
0.25
0.50
0.75
1.00
Probability
0.5000
0.5987
0.6915
0.7734
0.8413
0.8944
0.9332
0.9599
1.25
1.50
1.75
P(-1.25 sz 50.25)
P(-1.25 5250 75)
P(O 25 sz 51.25)
P(O 75 525 125)
Answer:
c
or
P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)
Step-by-step explanation:
Morgan has a container holding 3.6 cups of ice cream. She splits it evenly between 8 friends. How many cups of ice
cream does each friend get?
Answer:
Each friend gets 0.45 cups of ice cream.
Step-by-step explanation:
Divide 3.6 by 8 and you get 0.45.
Find a unit vector u with the same direction as x =<40, 9>.
<4/5,3/5>
<9/41,40/41>
<40/41,9/41>
<40/49,9/49>
Answer:
<40/41,9/41>
Step-by-step explanation:
According to Algebra Lab, "To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector."
Magnitude of <40, 9> is 41
Divide that by the vector is
<40/41,9/41>
URGENT PLEASE Solve the equation using the quadratic formula. 3x^2 - 18 = -6
Answer:
x = 2 and x = -2
Step-by-step explanation:
The quadratic formula of a quadratic of the form ax² + bx + c is:
x = [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or x = [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Here, our equation is: 3x² - 18 = -6. Let's move all the terms to one side:
3x² - 12 = 0
a = 3 and c = -12. Notice that since there's no x term, b = 0.
Plug these into the quadratic formula:
x = [tex]\frac{0+\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{\sqrt{144} }{6}=12/6=2[/tex]
or
x = [tex]\frac{0-\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{-\sqrt{144} }{6}=-12/6=-2[/tex]
So, x = 2 and x = -2.
Answer: x = -2, x = 2
Step-by-step explanation:
The quadratic formula:
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a} \\\\AND\\\\x = \frac{-b-\sqrt{b^2-4ac} }{2a} \\[/tex]
You can find the variables a, b, and c in the standard form of a quadratic equation:
[tex]f(x)=ax^2 + bx+c[/tex]
Your equation:
[tex]f(x)=3x^2 + 0x -12[/tex]
The variables are:
a = 3
b = 0
c = -12
Substitute those for the variables in the quadratic formula:
[tex]x=\frac{-0+\sqrt{0-(4*3*-12)}}{2(3)} \\\\AND\\\\x=\frac{-0-\sqrt{0-(4*3*-12)}}{2(3)} \\[/tex]
You can simplify this to get:
[tex]x=\frac{-\sqrt{144}}{6} \\[/tex]
(or positive square root of 144.)
The square root of 144 is 12, and 12/6 = 2.
The x-values are -2 and 2.
Please giving 20 points!!!
Which of the following functions satisfies these two characteristics: f(0) = 0, f(2) = π *
f(x) = -2 sec(x)
f(x) = 7sin(x/4 - 1/29)
f(x) = π cos(πx)
f(x) = 2π cos(x - π/2)
Answer:
we choose f(x) = π cos(πx)
Step-by-step explanation:
Given the information:
f(0) = 0f(2) = πLet analyse all possible answers;
1/ f(x) = -2 sec(x)
when x= 0 we have: f(0) = -2 sec(0) = -2[tex]\frac{1}{cos(o)}[/tex] = -2 wrong
2. f(x) = 7sin(x/4 - 1/29)
when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong
3. (x) = π cos(πx)
when x= 0 we have: f(0) = πcos(π0) = cos(0) = π0 = 0
when x= 2 we have: f(2) = πcos(π2) = πcos(0) = π
True
4. f(x) = 2π cos(x - π/2)
when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0
when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong
So we choose f(x) = π cos(πx)
Identify the percent of change as an increase or a decrease.
24 songs to 78 songs
Answer:
225% increase
Step-by-step explanation:
Since the number went up from 24 to 78 this is an increase
To find out how much
(78- 24)/24 =2.25 * 100% =225% increase
The percent of change from 24 songs to 78 songs is a 225% increase.
To identify the percent of change from 24 songs to 78 songs, follow these steps:
Find the difference: Subtract the original number of songs from the new number of songs.Calculate the percent change: Divide the difference by the original number and then multiply by 100.Determine if it is an increase or decrease: Since the number of songs increased from 24 to 78, this is a 225% Increase.Therefore, the percent of change from 24 songs to 78 songs is a 225% increase.
Which expression correctly represents “nine less than the quotient of a number and four, increased by three”?
StartFraction n Over 4 EndFraction minus 9 + 3
StartFraction 4 Over n EndFraction minus 9 + 3
9 minus StartFraction n Over 4 EndFraction + 3
9 minus StartFraction 4 Over n EndFraction + 3
Answer: StartFraction n Over 4 EndFraction minus 9 + 3
n/4-9 +3
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given.
The quotient of a number means the result of the division of 2 numbers.
In this case the numbers are: a number (n) and 4 . n/4
Nine less than that quotient means we have to subtract 9 to the quotient.
n/4-9
Increase by three: we simply have to add 3
n/4-9 +3
Feel free to ask for more if needed or if you did not understand something.
Answer:
n/4-9 +3
Step-by-step explanation:
2020-2021 edge
find exact length of the third side
Answer: 12
^
Answer is |
Answer:
8
Step-by-step explanation:
The side opposite the right angle is called the hypotenuse (13), which is always the longer side.
Both of the smaller sides (5 and the third side) add up to the hypotenuse, in this case they both add up to 13.
You would have to take 5 away from 13 to find the answer.
13 - 5 = 8
Rosie went on a hiking trip. The first day she walked 18 kilometers. Each day since, she walked 90, percent of what she walked the day before.
What is the total distance Rosie has traveled by the end of the 10th, start superscript, start text, t, h, end text, end superscript day?
Round your final answer to the nearest kilometer.
Rosie traveled a total distance of approximately 117 kilometers by the end of the 10th day, using the formula for the sum of a geometric series and rounding to the nearest kilometer.
To find the total distance that Rosie traveled by the end of the 10th day, we use the formula for the sum of a geometric series. The first term of this series is 18 kilometers and each subsequent term is 90% of the previous term, indicating a common ratio r of 0.9.
The formula for the sum of the first n terms of a geometric series is [tex]\( S_n = \frac{a_1(1 - r^n)}{1 - r} \)[/tex], where [tex]\( a_1 \)[/tex] is the first term, r is the common ratio, and n is the number of terms.
Using this formula, the total distance [tex](\( S_{10} \))[/tex] that Rosie traveled after 10 days is:
[tex]\[ S_{10} = \frac{18(1 - 0.9^{10})}{1 - 0.9} \][/tex]
Calculating this, we get:
[tex]\[ S_{10} = \frac{18(1 - 0.3487)}{0.1} \][/tex]
[tex]\[ S_{10} = \frac{18(0.6513)}{0.1} \][/tex]
[tex]\[ S_{10} = \frac{11.7234}{0.1} \][/tex]
[tex]\[ S_{10} = 117.234 \][/tex]
To the nearest kilometer, Rosie traveled 117 kilometers by the end of the 10th day.
A large 24-inch pizza cut into 12 pieces and a medium 12-inch pizza with 7.85 inches of crust per slice. If she wants slice with more crust which option should she choose?
Answer:
Medium 12-inch pizza with 7.85 inches of crust per slice.
Step-by-step explanation:
You need to find out how many slices of pizza would be in each pizza.
In a 12 in. pizza you have 8 slices and in a 24 in. pizza you have 12 pieces.
You are looking for more crust not more pizza. So the first one just says 12 pieces it doesn't mention anything about crust so that's off the list. The second one says a medium 12-inch pizza with 7.85 inches of crust PER SLICE.
Then you'd multiply 8 slices by 7.85 which gives you 62.8.
Round 62.8 to the nearest whole... (63 in.)
Remember you are looking for crust!!! Not pizza!
I hope I've helped!!!!! Please leave a thanks and vote!
To compare the amount of crust per slice between the large 24-inch pizza and the medium 12-inch pizza, we need to calculate the circumference of each pizza and then determine the length of crust per slice.
For the large 24-inch pizza:
- Radius, [tex]\( r_{24} = \frac{24}{2} = 12 \)[/tex] inches
- Circumference, [tex]\( C_{24} = 2 \pi r_{24} = 2 \pi \times 12 \)[/tex] inches
- Crust per slice, [tex]\( \frac{C_{24}}{12} \)[/tex] inches
For the medium 12-inch pizza:
- Radius, [tex]\( r_{12} = \frac{12}{2} = 6 \)[/tex] inches
- Circumference, [tex]\( C_{12} = 2 \pi r_{12} = 2 \pi \times 6 \)[/tex] inches
- Crust per slice, [tex]\( \frac{C_{12}}{8} \)[/tex] inches (since the pizza is cut into 8 slices)
Now, let's calculate inches of crust per slice for both pizzas:
- For the large 24-inch pizza: [tex]\( \frac{C_{24}}{12}[/tex] = [tex]\frac{2 \pi \times 12}{12}[/tex] = [tex]2 \pi \)[/tex] inches of crust per slice.
- For the medium 12-inch pizza: [tex]\( \frac{C_{12}}{8} = \frac{2 \pi \times 6}{8} = \frac{\pi}{2} \)[/tex] inches of crust per slice.
Comparing the values, [tex]\( 2 \pi > \frac{\pi}{2} \)[/tex]. Therefore, if she wants a slice with more crust, she should choose the large 24-inch pizza.
is 2.2360679 a rational or irrational number?
Answer:
Rational
Step-by-step explanation:
2.2360679. A rational number is a number that terminate or can be written as a fraction. In this case, the number can be written as 22,360,679/10,000,000.
The number 2.2360679 is a rational number because it can be expressed as the fraction 22360679/10000000. Rational numbers can be written as fractions with integer numerators and denominators (where the denominator is not zero) or terminates.
Explanation:The number 2.2360679 is a rational number. A rational number can be expressed as a fraction, where both numerator and denominator are integers and the denominator is not zero. In this case, 2.2360679 can be written as an approximate fraction rounded to seven decimal places: 22360679/10000000.
On the other hand, an irrational number cannot be expressed as an integer fraction. It continues indefinitely without repeating, such as the number pi. Therefore, 2.2360679 is not an irrational number as it doesn't meet this criterion.
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Help, don’t understand this problem.
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
3x - 5y = - 9 → (1)
x + 2y = 8 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term, that is
- 3x - 6y = - 24 → (3)
Add (1) and (3) term by term to eliminate x
(3x - 3x) + (- 5y - 6y) = (- 9 - 24), that is
- 11y = - 33 ( divide both sides by - 11 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting in (2)
x + 2(3) = 8
x + 6 = 8 ( subtract 6 from both sides )
x = 2
Solution is (2, 3 )
Answer:
Step-by-step explanation:
hello :
here is an solution :
Use the order of operations to simplify this expression. 10.52 - 4.6 × 1.9 7.82 1.78 2.22 11.248
entre sus amigos Jorge tiene fama de fantásioso es habitual escuchar narrar como el verano pasado escaló el monte everest (8848m) y como una semana después buceo hasta el piso de la fosa marina de Tonga (-10882 m) ¿cual es la diferencia entre estos números?
Answer:
-2034
Step-by-step explanation:
make me brainliest please
write each number in a scientific notation
example: 2.500 = 2.5 x 10 to the power of 3
1. 300
2. 47,300
3. 24
4. 14,565
5. 7,001
6. 19,050,000
7. 33
Step-by-step explanation:
[tex]300 = 3 \times {10}^{2} \\ 47300 = 4.73 \times {10}^{4} \\ 24 = 2.4 \times {10}^{1} \\ 14565 = 1.4565 \times {10}^{4} \\ 7001 = 7.001 \times {10}^{3} \\ 19050000 = 1.905 \times {10}^{7} \\ [/tex]
Car Survey In a survey of 3,500 people who owned a certain type of car, 700 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer ASAP plz
Answer:
20%
Step-by-step explanation:
If you want to buy the car again, it means that they are satisfied. 700/3500=7/35=1/5
1/5=20%.
20% of the people were satisfied.
4+3 +3 + 10 + 5 = 25
What is the average value?
Answer:
There is 5 numbers (not including the sum/25)
The average is add up all the numbers and divide by amount of numbers
25/5=5
The average value is 5
Step-by-step explanation:
Two consecutive, odd integers have the property that when the smaller is add to twice the larger, the sum is 43. Find an equation that could be used to determine the smaller integer represents by the variable n.
Final answer:
To find two consecutive odd integers where the sum of the smaller integer and twice the larger is 43, we use the equation n + 2(n + 2) = 43, which simplifies to n = 13, identifying the smaller integer as 13.
Explanation:
The student is asking for an equation to solve for two consecutive odd integers such that when the smaller is added to twice the larger, their sum is equal to 43. Let's define the smaller integer as n, and since they are consecutive odd integers, the next integer would be n + 2. The equation that represents this situation is:
n + 2(n + 2) = 43
This equation can be simplified:
n + 2n + 4 = 43
Combining like terms, we get:
3n + 4 = 43
To solve for n, subtract 4 from both sides:
3n = 39
Then, divide by 3:
n = 13
Therefore, the smaller integer is 13.
PLEASE PLEASE HELP ME!!! THIS IS DUE IN 4 MINUTES PLEASEEEEEE!!What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 4 inches, which is the base of the triangle formed by the division.
20 in2
24 in2
32 in2
36 in2
the answer is 24in its easy
Evaluate 6 P 3. 720 240 540 120
Answer:120
Step-by-step explanation: i know i am a week late but ...
The value of expression ⁶P₃ will be 120. Then the correct option is D.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
The expression is given below.
⇒ ⁶P₃
Then the value of expression ⁶P₃ will be
⁶P₃ = 6! / (6 - 3)!
⁶P₃ = 6 x 5 x 4 x 3! / 3!
⁶P₃ = 6 x 5 x 4
⁶P₃ = 120
Then the correct option is D.
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