Answer:
665280
Step-by-step explanation:
12x11x10x9x8x7=665280
There are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
What is Probability?Probability is defined as the branch of mathematics that deals with the numerical description of how likely an event is to occur, or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, roughly where 0 indicates the improbability of the event and 1 indicates certainty.
It is based on the probable probability of something happening while the theoretical probability is based on the logic behind the probability. For example, if a coin is tossed, the theoretical probability of getting a head is ½.
In above example,
There are 6 policemen
Number of coaches assigned are 12
So, the number of ways are 12x11x10x9x8x7=665280 ways
Thus, there are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
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Find the length of the unknown side
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Answer:
c=?=13
Step-by-step explanation:
Using the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where a=5 and b=5, and solving for c=?
[tex]5^2+12^2=c^2[/tex]
[tex]25+144=c^2[/tex]
[tex]169=c^2[/tex]
[tex]c=\sqrt{169}[/tex]
c=13
Expand the logs and show work
Henry made the scatterplot shown.
The scatterplot shows the data points, and it also shows the linear model that
Henry drew. Which statement best describes the linear model?
A The linear model describes the data well because points are scattered above
and below the line.
B The linear model describes the data well because all the points are close to
the line.
C The linear model does not describe the data well because the line does not
go through any of the points.
D The linear model does not describe the data well because most of the points
are located above the line.
Answer: The linear model does not describe the data well because most of the points are located above the line.
Step-By-Step Explanation: The scatterplot shows the data points, and it also shows the linear model that Henry drew.
which inequality shows the relationship between the plotted points on the number line -5>-2?
PLEASE HELP ME NB IS ASWERING MY QT SO HELP ASAPP!!
Answer:
Step-by-step explanation:
Help, with math! due soon!
Answer:
a) (4, 5)
b) (3, -1)
c) (4, 4)
d) (-3, 2)
e) (3, 1)
f) (7, 8)
Step-by-step explanation:
I hope this helped. If it did mark brainliest pls :)
Which number has an absolute value greater than 5
A -6
B -5
C 0
D 5
Answer:
A -6
Step-by-step explanation:
The reason why this is your answer is because -6's absolute value is 6
As we know, 6 is higher than 5
so hence, your answer is A -6
EXTRAS:
Absolute values of other answer choices...
-5 = 5
0 = 0
5 = 5
Answer:
The number that has an absolute value greater than 5 is -6 so that answer will be A
BRAINLIEST! and MAX POINTS!
Given the following numbers:
π,2√5,√8,√3,√27
part A. Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.
Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.
part B. Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.
I know this is super random but I was never shown in class how to actually do this type of problem so if you could give an explanation it would be so so helpful :)
____________________________________
Winifred bought a bib necklace, which is just a big necklace in the shape of a dinner bib, at a 45% discount. If the discount saved her $63, what was the necklace's original price?
$140 was the original price.
discount : 45%
45% ⇒ $63
1% ⇒ $(63/45)
1% ⇒ $1.4
original price is always 100%
100% ⇒ $(1.4*100)
100% ⇒ $140
Let the original price of the necklace be ,'x',
then,
According to the question,
(45/100)x = 6345x = 6300x = 6300/45x =140Hence ,the necklace she bought worths $140 without the discount given to her.
[ Thanks to starrysoul100 ]
If the area of a triangle is 16 units. And the base is 4, what is x?
Answer:
the area of triangle formula is A = B*H / 2 so it means 16 square = (x+4) x /2 so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6 so x = -2 -6 = -8 or x= -2 +6 = 4 x must be positive so x = 4
Step-by-step explanation:
i really hoped this helped you.
What is the volume of the triangular prism below?
and can someone tell me how to do this
Answer:
4.5 ft^3
Step-by-step explanation:
note to convert 18 in. to feet = 1.5 feet
divide the length value by 12
(3×10^6)+(3×10^6)
give your anwser in standard form.
Answer:
Solve in parenthesis first(exponents:
(3 x 10^6) + (3 x 10^6)
Will be:
(3 x 1,000,000) + (3 x 1,000,000)
Multiply in the parenthesis:
(3,000,000) + (3,000,000)
Add them:
= 6,000,000
Standard form:
6 x 6^10
Use the order of
PEMDAS:ParenthesisExponentsMultiplicationDivisionAdditionSubtraction!Write the absolute value equations in the form |X-B|=C (where B is a number and C can be either number or an expression) that have the following solution sets X=15
Answer:
|x - 15| = 0Step-by-step explanation:
|x - 15| = 0 ⇔ x - 15 = 0 ⇔ x = 15
Select the correct answer.
What is the equation of the parabola opening upward with a focus at and a directrix of ?
A. f(x) = 1/32(x - 9)^2 + 19 =
B. f(x) = 1/32(x + 9)^2 + 19 =
C. f(x) = 1/16(x - 9)^2 + 19 =
D. f(x) = 1/16(x + 9)^2 - 19 =
Answer:
b
Step-by-step explanation:
on plato
The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.
What is the equation of the parabola?The equation can be written as
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix.
Here, We have the upward parabola;
(h, k) = (-9, 7) and p = (7 - (-9))/ 2 = 8.
So the equation is
f(x) = 1/32(x + 9)^2 + 19
The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.
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Jace gathered the data in the table. he found the approximate line of best fit to be y = –0.7x 2.36. a 2-column table with 5 rows. the first column is labeled x with entries 0, 1, 4, 5, 7. the second column is labeled y with entries 3, 1, 0, negative 2, negative 2. what is the residual value when x = 5? –3.14 –0.86 0.86 3.14
The residual value is the difference in the value of the y coordinate between the real value and the expected value. The residual value will be equal to -0.86.
What is residual value?The residual value is the difference in the value of y coordinate between the real value and the expected value.
Residual Value = Real value of y - The predicted value of y
The value of y in the table is -2 when the value of x is 5. And as per the function, the value of y when the value of x is 5 can be written as,
[tex]y = -0.7x+2.36\\\\y = -0.7(5)+2.36\\\\y= -3.5+2.36\\\\y=-1.14[/tex]
Now, the residual value can be written as,
[tex]\text{Residual Value} = \text{(Value of y in the table)} - \text{(Value of y as per the function)}\\\\\text{Residual value} = -2 - (-1.14)\\\\\text{Residual value} = -2+1.14\\\\\text{Residual value} = -0.86[/tex]
Hence, the residual value will be equal to -0.86.
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Answer:
-0.86
Step-by-step explanation:
cuz im a slay queen boss
circles can be found along the Gambia
River in western Africa. The stones
are believed to be over 1000 years old.
In one of the circles at Ker Batch,
three stones have approximate
coordinates of A(3, 1), B(4, -2),
and C-6, -2).
a. What are the coordinates of the
center of the stone circle?
b. Each unit of the coordinate
plane represents 1 ft. What is the
diameter of the stone circle?
Answer:
-6 4
Step-by-step explanation:
hope it helps you have a great day
PLEASE HELP If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of getting exactly 1 heads?
The probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.
To find the probability of getting exactly 1 head when a fair coin is tossed 9 times, we can use the concept of binomial probability. The probability of getting a head on a single coin toss is 1/2, and the probability of getting a tail is also 1/2.
In this case, we want to calculate the probability of getting exactly 1 head out of 9 tosses. This can be represented as a binomial probability with parameters n (number of trials) and p (probability of success).
Using the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where n is the number of trials, k is the number of successful outcomes, and p is the probability of success.
In our case, n = 9, k = 1, and p = 1/2.
Plugging these values into the formula:
P(X = 1) = (9 choose 1) * (1/2)^1 * (1 - 1/2)^(9 - 1)
P(X = 1) = 9 * (1/2) * (1/2)^8
P(X = 1) = 9 * (1/2)^9
P(X = 1) = 9/2^9
P(X = 1) ≈ 0.017
Therefore, the probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.
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Solve equation using SQAURE ROOTS, show work. Round to the nearest hundredth if needed
Answer:
x=8, x=4
Step-by-step explanation:
Add 4 to both sides
[tex](x-6)^2=4[/tex]
Square root
[tex](x-6)= \sqrt{4}[/tex]
x - 6 = ±2
x = 8
OR x = 4
So, x=8 or x=4
The graph of the function y = 2x^2 + bx + 8 is shown.
What is the value of b?
The value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
[tex]\rm y = 2x^2+bx+8[/tex]
The above function shows the equation of the parabola.
From the graph, we can see the point(2, -8) lie on the graph of the function,
So point(2, -8) will satisfy the function.
Plug y = -8 and x = 2 in the function.
[tex]\rm -8 = 2(2)^2+b(2)+8\\\\-16 = 8+2b\\-24 = 2b \\b = -12[/tex]
Thus, the value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.
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what is 252 in index form
Answer: The factors of 252 can either be prime or composite. Subsequently, 252 is an even composite number itself which comprises of factors that are either prime or composite.
Step-by-step explanation:
Factor pair Pair factorization
2 and 126 2 × 126 = 252
3 and 84 3 × 84 = 252
4 and 63 4 × 63 = 252
6 and 42 6 × 42 = 252
Make n the subject of the formula y=m^2 - 4n^2
Answer:
Make n the subject of the formula y =m² -4n² .
Step-by-step explanation:
it's the same i hope it can help.
solve using the square root method
Help soon
There are 6 white socks, 3 blue socks, and 1 black sock in a basket. One sock is randomly picked and replaced. Then another sock is picked.
What is the probability of getting a blue sock then a black sock?
3/100
1/30
4/90
1/5
Answer:
the answer is 3/100
Step-by-step explanation:
the probability=
pr(blue)*pr(black)
=3/10*1/10
=3/100
hope this helps
please give brainest
I need help with this please
Answer:
The measure of the angle is exactly x.
PLEASE ANSWER! 5 STAR RATING - THANKS (PROFILE TOO) - BRAINLIEST IF I CAN
Each year, a school sends 50 students to a
conference.
Last year, the cost was $12.50 per student.
This year, the cost per student has increased
by 16%.
What is the total cost to send 50 students to
the conference this year?
a $625
b $633
c $725
d $841
Answer:
c) $725
Explanation:
Last year price: $12.50
If increased by 16%, 100% + 16% = 116%
116% * $12.50
$14.5, each student
Total cost for all 50 students
$14.5 * 50
$725
Is 2g + 2d equivalent
to 2(g + d) ? Why or why not?
Answer:
Yes
Step-by-step explanation:
When opening the parenthesis of 2(g + d), the 2 is being multiplied by each addend. Therefore, 2(g + d) is 2g + 2d simplified.
Find the value of x that makes m congruent to n
Answer:
x=10
Step-by-step explanation:
13x=130
because they are parallel we know that line m and n are equal angles
since 13x° and 130° aee both obtuse angles they are equal
so set them equal 13x=130
and solve for x
divide both sides by 13
(13x)/13 = 130/13
leaving us with x=10
The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?
The amount of time his teammate have to catch the ball is equal to 1.774 seconds.
Given the following function:
f(x) = -16t² + vt + s.Displacement, s = 6ft.Velocity, v = 25 ft/s.How to calculate the amount of time?In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:
f(t) = -16t² + 25t + 6.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c =0
Where:
a = -16.
b = 25.
c = 6.
Solving the function by using the quadratic formula, we have:
t = [-b ± √(b² - 4ac)]/2a
t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)
t = [25/32 ± (-1/32)√1009]
t = 25/32 ± (-0.993)
t = 0.781 ± 0.993
t = 0.781 + 0.993
Time, t = 1.774 seconds.
Note: We ignored the negative value because time cannot be negative.
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Answer:
B
Step-by-step explanation:
The verified dude saisd so
What is the volume??
Answer:
V=828.96cm²
Step-by-step explanation:
V=（4/3）∏r³*（1/2）+（1/3）∏r²h
r=6cm
h²=(2√34)²-6²=4*34-36=100
h=10cm
V=2/3*6³∏+1/3*36*10∏=144∏+120∏=264∏=264*3.14=828.96cm²
A person going to a party was asked to bring 2 different bags of chips. Going to the store, she finds 11
varieties.
How many different selections can she make?
I
Answer:
Step-by-step explanation:
...
11C2=55
The ratio of girls to boys in the school marching band is 3 to 2. If there are 24 boys in the marching, how many of the students in the marching band are girls.
A.42
B.28
C.32
D.36
Answer:
D. 36
Step-by-step explanation:
Ratios are a way to represent of how much there is one thing to another. It's a more simplistic representation.
For example, if there were 625 adults and 375 children, we don't say there are 625 adults to 375 children, we say there are 5 adults to 3 children.
All I did was divide both the number of children and adults by 125 and we have a ratio of 5:3 for adults to children respectively.
In this problem, we have a ratio of 3:2 for girls to boys. This 3:2 ratio is a simplistic representation of the number of girls to boys. We know that there are 24 boys.
Dividing 24/2 = 12
12 is the proportion which we multiply by the ratio to get the true numbers for boys and girls.
2 * 12 = 24 boys
3 * 12 = 36 girls
So there are 36 girls in the marching band.