Answer:
This can be done using the choose function.
The number of combinations are given by:
(
n
k
)
=
n
!
k
!
(
n
−
k
)
!
where
n
is the total number of students and
k
is the number of students to be picked. So we have
n
=
20
and
k
=
5
:
(
20
5
)
=
20
!
5
!
(
20
−
5
)
!
=
20
!
5
!
15
!
Evaluate directly with a calculator:
20
!
5
!
15
!
=
15504
we can simplify this before calculation by hand:
20
!
5
!
15
!
=
20
×
19
×
...
×
2
×
1
5
×
4
×
3
×
2
×
1
×
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
(
15
×
...
×
1
)
(
5
×
...
×
1
)
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
15
×
...
×
1
(
5
×
...
×
1
)
15
×
...
×
1
=
(
20
×
19
×
18
×
17
×
16
)
(
5
×
4
×
3
×
2
×
1
)
Simplify the numbers matched up by color:
=
(
4
×
19
×
9
×
17
×
4
)
(
1
×
1
×
3
×
1
×
1
)
=
(
4
×
19
×
3
×
17
×
4
)
(
1
×
1
×
1
×
1
×
1
)
=
3
×
4
×
4
×
17
×
19
=
48
×
323
=
15504
1. If x: 5 = 12:21 find the value of x.
Answer:
x = 2.85 = 20/7
Step-by-step explanation:
x : 5 = 12 : 21
=》x/5 = 12/21
Cross multiply,
21 *x = 5*12
21x = 60
x = 60/21
x = 2.85 = 20/7
________
Hope it helps ⚜
Answer:
[tex]\huge\boxed{\sf x = 2.86}[/tex]
Step-by-step explanation:
Given proportionality:
x : 5 = 12 : 21
We know that:
Product of means = product of extremes
Means : 5,12
Extremes : x,21
5 × 12 = x × 21
60 = 21 x
Divide both sides by 21
60/21 = x
2.86 = x
x = 2.86
[tex]\rule[225]{225}{2}[/tex]
Elaine drives her car 70 miles and has an average of a certain speed. If the average speed had been 3mph more, she could have traveled 77 miles in the same length of time. What was her average speed
Answer:
30 miles/hr
Step-by-step explanation:
d / r = time distance divided by rate = time
70 / r = time and 77/(r+3 ) = time r = her original average speed
'time' is the same for both so we can equate the equations
70/r = 77/(r+3) cross multiply
70r + 210 = 77r
7r = 210
r = 30 m/hr
the town of abridge currently has a population of 300,000 each year the population will reduce by 7% how many fewer people will live in abridge in 5 years compared with now give your answer to 3 sf
Answer:
91,300 to 3 s.f.
Step-by-step explanation:
The population is reduced by a percentage 100-7 = 93% ( or 0.93) per year.
So after 5 years thatwould be 300,000(0.93)^5
= 208707
that is 300,000 - 208,706
= 91293
= 91,300 to 3 s.f.
what is the value of x?
Answer:
If you mean the angle at X... 70°
Step-by-step explanation:
Angles on a straight line sum up to 180°115° + Y = 180°Y = 180° - 115° = 65°Angles in a triangle sum up to 180°X + Y + Z = 180°(4k + 5)° + (6k + 10)° + 65° = 180°We turn everything into degrees4k° + 5° + 6k° + 10° + 65° = 180°We then sum up the "like" terms (as in, we put all the k together, and put all the normal numbers together)10k° + 80° = 180°10k° = 180° - 80° = 100°k° = 100° ÷ 10 = 10°At X:6k° + 10° = 6 × 10° + 10° = 60° + 10° = 70°Please I need help and an explanation :0
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
According to properties of arc on a circle, angles subtended by an arc on circle at its boundaries are equal to one another.
Hence ~
[tex] \qquad \dashrightarrow \tt \: \angle C = \angle W [/tex]
[tex]\qquad \tt \dashrightarrow \:12x + 15 = 3x + 78[/tex]
[tex]\qquad \tt \dashrightarrow \:12x - 3x = 78 - 15[/tex]
[tex]\qquad \tt \dashrightarrow \:9x = 63[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 63 \div 9[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 7[/tex]
Therefore, value of x is 7
Angles drawn inside chords and radius hence they are equal
12x+15=3x+789x=63x=63/9x=7unit 11: volume & surface area homework 8
The volumes of the pyramids are listed below:
V = 1437.333 cm³V = 75,398 km³V = 59.2 ft³V = 393.3 yd³V = 1134.116 m³V = 403.333 mm³V = 405.6 in³V = 886.808 ft³How to determine the volume of a pyramidVolume is the space occuppied by an object. In this question we must determine the volumes of pyramids of circular base and polygonal base (V). All the formulas needed are described below:
Volume of the pyramidV = (π/3) · B · h (1)
Base of the pyramid - CircleB = (π/4) · R² (2)
Base of the pyramid - Regular polygon
B = (n · L²)/(4 · tan 0.5α) (3)
Base of the pyramid - Right triangleB = (1/2) · b · z (4)
Base of the pyramid - RectangleB = b · z
Where:
R - Radiusn - Number of sides of the polygon.l - Side lengthα - Internal angle, in degree.h - Height of the pyramidb - Base of the right triangle/rectangle.z - Length of the right triangle/rectangle.Now we proceed to solve each pyramid:
1) Square, n = 4, α = 90°, L = 14 cm, h = 22 cm
B = 196 cm², V = 1437.333 cm³
2) Circle, R = 3 km, h = 8 km
B ≈ 28.274 km², V = 75,398 km³
3) Right triangle, b = 12 ft, z = 3.7 ft, h = 8 ft
B = 22.2 ft², V = 59.2 ft³
4) Rectangle, b = 23 yd, z = 9 yd, h = 5.7 yd
B = 207 yd², V = 393.3 yd³
5) Circle, R = 9.5 m, h = 12 m
B ≈ 283.529 m², V = 1134.116 m³
6) Regular pentagon, B = 110 mm², h = 11 mm
V = 403.333 mm³
7) Square,n = 4, α = 90°, L = 13 in, h = 7.2 in
B = 169 in², V = 405.6 in³
8) Regular triangle, n = 3, α = 120°, L = 16 ft, h = 24 ft
B ≈ 110.851 ft², V = 886.808 ft³
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
Find the slope of the line passing through (6, -2) and (-5, 5)
Answer: [tex]-\frac{7}{11}[/tex]
Step-by-step explanation:
The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.
Sub the values in
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]
Now solve
[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]
what plus 23 equals 180
Answer:
157
Step-by-step explanation:
To find this, we just have to reverse the problem and subtract 23 from 180:
[tex]180-23=157[/tex]
So your answer is 157.
Hope this helps! Have a good day! :)
157
Step-by-step explanation:
180-23= 157
The answer is 157
At Central High School, there are 48 football players and 20 cheerleaders. What is the ratio of cheerleaders to football players?
Answer:
The answer should be 5:12.
Step-by-step explanation:
Since the question asks what's the ratio of cheerleaders to football players, the ratio before simplifying would be 20:48.
So, just find the greatest common divisor of 20 and 48, which would be 4.
20/4 = 5
48/4 = 12
Therefore, the answer to this question and the ratio of cheerleaders to football players is 5:12.
solve for x
[tex] \binom{1}{2} ^{3x + 1} = 32[/tex]
how do i solve for x
Answer:
Yes diciembre Eqsakdulien
The graph of a linear equation has a slope of 4 and an x-intercept at (2, 0). What is the y-intercept of the graph?
Answer:
y-intercept = -8
Step-by-step explanation:
Slope-intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Given:
slope (m) = 4point (x₁, y₁) = (2, 0)Substituting the given values into the slope-point form of a linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=4(x-2)[/tex]
[tex]\implies \sf y=4x-8[/tex]
Comparing the final equation with the Slope-intercept form of a linear equation, we can see that the y-intercept is -8
Solve the following....
[tex]x+4=3(x-2)[/tex]
Answer:
x = 5
Step-by-step explanation:
x + 4 = 3(x - 2) ← distribute parenthesis by 3
x + 4 = 3x - 6 ( subtract 3x from both sides )
- 2x + 4 = - 6 ( subtract 4 from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
Answer:
Solution of equation is 5Step-by-step explanation:
In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .
Solution : -
[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]
Step 1 : Solving parenthesis on right side :
[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]
Step 2 : Subtracting 4 on both sides :
[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]
On further calculations we get :
[tex] \longrightarrow \quad \: x = 3x - 10[/tex]
Step 3 : Subtracting 3x on both sides :
[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: - 2x = - 10[/tex]
Step 4 : Dividing both sides by -2 :
[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]
Therefore , value of x is 5 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
x + 4 = 3 ( x - 2 )5 + 4 = 3 ( 5 - 2 )9 = 3 ( 3 )9 = 9L.H.S = R.H.S Hence, Verified.Therefore, our answer is correct .
#Keep Learning
Help please
(it needs more characters so ♀️
Answer:
5.1 is the correct answer
hope it will help you
Write the decimal in standard form.
seventy-three thousandths
7300
7×10³+3×10²+0×10¹+0×10⁰
please give me brainliest
(LCM) of 28, 42 and 63
Answer:
252
Step-by-step explanation:
The least common multiple is the product of all factors in the greatest number of their occurrence.
LCM = 2 x 2 x 3 x 3 x 7
LCM = 2^2 x 3^2 x 7
LCM = 252
The least common multiple of 28, 42 and 63 is 252.
Answer:
LCM = 252.
Step-by-step explanation:
First find their prime factors:
28 = 2*2*7
42 = 2*3*7
63 = 3*3*7
So, only including like factors once, LCM =
2*2*3*3*7
= 252
Please help worth 15 points
Answer:
[tex]30.25\pi ft^2[/tex]
Step-by-step explanation:
Which letter is the height?
Answer:
I'm pretty sure y is the height.
The population of a town is increasing at a rate of 3.5% per year. In 2010, the town had a population of 24,500. Find the population of the town in 2021. (if you can please give a short explanation)
well, from 2010 to 2021 is 11 years later, so
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]
Plot G(8,-6) , H(2,-6) , J(7,4) , and K(7,10) in a coordinate plane. Are GH and JK congruent?
Answer:
Yes GH ≅JK
Step-by-step explanation:
The line GH and JK are congruent because they measures are equal.
JK line is vertical so the x-coordinate is constant and the difference in y is 10-4 = 6 and
GH line is horizontal so the y-coordinate is constant and the difference in x is 8-2 = 6
Select the correct answer from each drop-down menu. Consider functions h and k.
h(t) = 5x^2 - 1
k(u) = √5x+1
For I > 0, the value of h(k(x)) is ____the value of k(h(x))
options-
equal to
not equal to
For I > 0, functions h and k ____ inverse functions
options-
are
are not
Answer:
(a) Not equal to
(b) Are not
Step-by-step explanation:
Help a fella out:)))))))))
Answer:
See below
Step-by-step explanation:
the x + 4 will shift the graph 4 units LEFT
the - 8 part will shift the graph 8 units DOWN
A car dealership offers two types of discounts.
Discount 1: Take 5% off the original price of a care built last year and then receive a $3,500 rebate.
Discount 2: Take 10% off the original price of a car built this year and then receive a $1,250 rebate.
A customer is deciding between two cars.
Car R was built last year and has an original price of $25,340.
Car S was built this year and has an original price of $22,860.
Based on this information, which statement is true?
Question 10 options:
The customer would pay $24,073 for Car R.
The customer would pay $19,324 for Car S.
The customer would pay $23,107 for Car R.
The customer would pay $21,824 for Car S.
Answer:
3.55,11.25,48.20,49.413,42.184
Step-by-step explanation:
$3,500 + 0.05% = $3.55
$1,250 + 0.010% = $11.25
$25,340 + $22,860 = $ 48.20
$25,340 + $ 24,073 = $ 49.413
$22,860 + $ 19,324 = $42.184
1/6 of a wall painted in 3/10 of an hour, how much did he paint in 1 hour
NEED HELPP I DONT UNDERSTAND??!!!
Is it possible to split a jackpot of $2,783,000 equally among 9 winners? Explain your answer.
Answer:
No it isnt possible
Step-by-step explanation:
it is not because 2,783,000 is not divisible by 9
please help i don’t understand
Answer:5
Step-by-step explanation:
10
2
Given the graph above, choose the coordinate point that is NOT a
solution.
(6.0)
(10,6)
(-8,6)
(0,0)
Answer: Choice C
(-8, 6)
===============================================
Reason:
This point is not in the shaded region. Points in the shaded region are solution points to make the inequality true. Points on the dashed boundary line do not count as solution points.
Answer:
-8,6
Step-by-step explanation:
all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area
What does the red arrow represent in the dot plot?
O outlier
O mean
O spread
O median
NO LINKS!!!
The red arrow represents an outlier in the given dot plot. which the correct answer would be an option (A).
What is the dot plot?A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like graphic used in statistics for very small data sets with discrete values.
An outlier is a value in a random sampling from a population that is significantly different from the other values. In some ways, this definition leaves it up to the analyst (or a consensus process) to determine what is abnormal. Normal observations must first be characterized before anomalous observations may be identified.
The dot plot is given in the question,
According to the given dot plot,
Most data are clustered around [12, 14], while 24 is distant from this interval.
Thus, the red arrow represents an outlier in the given dot plot.
Hence, the correct answer would be option (A).
To learn more about the dot plot click here:
https://brainly.com/question/22746300
#SPJ2
(will mark brainlist )
a=&b=-6.C=13
a=-6.5=-8. C=13
a=-6.5=-S.C=-13
a=-&b=-6.C=-13
Answer:
A) 8, -6, 13
Step-by-step explanation:
See attached image.
You have $300. Your sister has at most $50 less than you. Write an inequality that matches the situation. Give an amount of money your sister could have.