Answer:
Because you are recounting people several times. Say for example, let us number those people
{1,2,3,4} for the four girls and {1,2…7} for the boys.
One possible combination by your way is to fix one boy and girl each, say
{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.
Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.
A correct way would be to choose girls and then choose 5− boys for 1≤≤4
So we get ∑4=1(4)(75−)=441
Answer:
We need group of 4 out of group of 5 + 6 = 11 people.
Part A
i)
2 boys and 2 girls:
5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 waysii)
4 boys or 4 girls:
5C4 + 6C4 = 5 + 15 = 20 waysiii)
No restrictions:
11C4 = (11*10*9*8)/(4*3*2) = 330 waysPart B
Combination of 3 boys and 1 girl:
5C3*6C1 = (5*4/2)*6 = 60Total number of ways is 330 (found above)
Required probability:
P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%find the value of x and y
Answer:
x = 58
y = 39
Step-by-step explanation:
x = 58 (Vertically opposite angles)
x + 2y + (x-14) = 180 (Angles in a straight line)
=> x + 2y + x - 14 = 180
=> 2x + 2y = 180 + 14
=> 2(58) + 2y = 194
=> 116 + 2y = 194
=> 2y = 194 - 116
=> 2y = 78
=> y = 78/2
=> y = 39
a rectangle and square equal perimeter if the rectangle has width 8 cm and length 12 cm what is the area of square
Answer:
Step-by-step explanation:
100 sq cm
CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THINK YOU
Answer:
[tex]10\frac{7}{18}[/tex]
Step-by-step explanation:
First revert it to improper fraction.
[tex]\frac{13}{2} +\frac{35}{9} \\\\[/tex]
Now put them to a common denominator.
[tex]\frac{187}{18}[/tex]
=> [tex]10\frac{7}{18}[/tex]
plz anser this nathanmalhotra (if your not them dont anserw) From midnight to 7:00 am, the temperature rose 3/10 °C each hour. If the temperature at midnight was −1°C, what was the temperature at 7:00 am?
Answer:
11/10°C
Step-by-step explanation:
7 x 3/10 = 21/10
Temperature at midnight = -1°C
Temperature at 7.00 am = 21/10°C -1°C = 11/10°C
Answer:
1.1°C
Step-by-step explanation:
Assuming we are starting at midnight, we know that at midnight it is -1°C. We want to find the temperature at 7:00 AM. Or 7 hours later than midnight. The question says that every hour the temperature rises by 3/10°C. In 7 hours, we need to multiply 3/10*7=21/10=2.1 °C. So, it rises by 2.1 °C. Next add that to the -1 from midnight. Do 2.1+-1=1.1 °C.
Hope this helps!
binomial theorem to expand (x+4)^4
Answer:
Step-by-step explanation:
(x+4)^2.(x+4)^2
= x^4 +16x^3+96x^2+256x+256
Find the missing side
Answer:
x=21
Step-by-step explanation:
they are corresponding to each other
what is the product of 172837286 and 17368364????
Answer:
3.0019009e+15
Step-by-step explanation:
the word and is multiplication so multiply the two numbers
Answer:
3.001900896*10^15 is the answer
а
The radius
of
a circle is 10cm and
the length of a chord is 12 cm.
Then , calculate the distance between
the chord and centre of
a circle
Step-by-step explanation:
by referring to the diagram,
a = 8
verify that :- 5/8x(7/9-11/6)=(5/8x7/9)-(5/8x11/6)
please answer
plsss help (on pic)
First will put brainliest
Answer:
7 over 2x-2
Step-by-step explanation:
Answer:
g^-1 •7
7g^-1
7•1/g
answer is 7/g
I hoped I helped!! :)
Can someone help me?It's urgent and thank you!
Answer:
y = square root x2 - 5
Step-by-step explanation:
y=[tex]\sqrt{x} -5[/tex]
(the top option)
¿Cuánto mide el lado de un terreno cuadrado, si su área 144 m2?
Answer:
72
Step-by-step explanation:
all you had to do was divide by 2
Can i get some help pls!
Answer:
Graph the system on linear equations.
Step-by-step explanation:
(-4, 4) & (-4, -6)
Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
“But if you give me 4 marbles wwe would have the same number said Mary to Sam.
How many marbles do they have altogether?
Answer:
54 marbles
Step-by-step explanation:
The question is a word problem leading to a simultaneous equation
Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,
If Mary gives Sam 5 marbles, we have;
x + 5 = 2 × (y - 5)...(1)
If Sam gives Mary 4 marbles, we get;
x - 4 = y + 4...(2)
From equation (1), we get;
x + 5 = 2 × (y - 5) = 2·y - 10
x = 2·y - 10 - 5 = 2·y - 15
x = 2·y - 15...(3)
From equation (2), we have;
x - 4 = y + 4
∴ x = y + 4 + 4 = y + 8
x = y + 8...(4)
Equating the two values of 'x' in equation (3), and equation (4), we get;
2·y - 15 = y + 8
2·y - y = 8 + 15 = 23
∴ y = 23
From equation (4), we get;
x = y + 8 = 23 + 8 = 31
x = 31
The total number of marbles they have altogether = x + y
However, x + y = 23 + 31 = 54
Therefore;
The total number of marbles they have altogether = 54 marbles.
which event has exactly 12 possible outcomes?
tossing a coin 6 times
tossing a coin and randomly choosing 1 of 4 different cards
rolling a number cube with sides labeled 1 -6 and then rolling the number cube again
rolling a number cube with sides labeled 1-6 and tossing a coin
please help me TwT
Answer:
rolling a number cube with sides labeled 1-6 and tossing a coin
Step-by-step explanation:
What are the values of x in the equation x2 - 6x + y =
A)x= -2 or x = 8
B)x= -1 or x = -11
C)x= 1 or x = 11
D)x = 2 or x = -8
a rule in quadratic equ states that
if summation of the roots should be -b/a of the equa
comparing the equ x² - 6x + y=0
with. ax² + bx +c =0
we see that in the equ, a= 1, b=-6
so the sum of the roots is -(-6)/1= +6
looking the the option the only one that agreed is option A
-2 + 8= 6
there fore the values of x are -2 or 8
Which number(s) below belong to the solution set of the equation? Check all
that apply
x + 9 = 26
A. 17
B. 234
C. 52
D. 35
E. 26
F. 3
Answer:
A
Step-by-step explanation:
x + 9 = 26
x = 17
Answer:
A.17
Step-by-step explanation:
17+9=26
3. Which of the following is equivalent to
3-3
Step-by-step explanation:
must be _1/27 in my opinion it's that
pls help my computers about to die lol
Answer:
Elapsed 10 hours and 50 minutes
Step-by-step explanation:
So it's 5:25 pm to 4:15 am.
It goes by 50 mins to get from 5:25 to 6:15.
Now the hours.
It has passed 10 hours to get 6:15 pm to 4;15 am.
Compare. Use >, <, or =.
123,546,789 >, <, or =, 123,456,789
please help
Step-by-step explanation:
123,546,789 > 123,456,789
#CMIIWThe graphs below have the same shape. What is the equation of the red
graph?
F(x) =
A. F(x) = (2 - x)
B. F(x) = (3-X)
C. F(x) = 3 - X2
D. F(x) = 2 - x?
The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
What is the general equation of parabola?The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].
Where,
(h, k) are the vertices of the parabola.
According to the given question.
We have two graph.
The blue and red graph both represents the equation of downward parabola.
Since, blue graph represents the equation of downward parabola.
Whose equation is given
[tex]G(x) = 5 - x^{2}..(i)[/tex]
The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]
Where, (h, k) are the vertices of the parabola.
Compare the equation (i) with (ii)
We get
(h, k) = (0, 5) and a = -1.
Now, the red graph which also represents the downward parabola whose vertices are (0, 2)
Therefore, the equation red graph is given by
[tex]F(x) = a(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = 2 - x^{2}[/tex]
Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
Find out more information about equation of parabola here:
https://brainly.com/question/4074088
#SPJ3
Helpppp and explain :)
Answer:
Problem 1: 25
Problem 2: 693
Step-by-step explanation:
Problem 1:
f(x) = -5n + 1
g(x) = -6n + 2
(f + g)(-2) = f(-2) + g(-2)
f(-2) = -5(-2) + 1
f(-2) = 10 + 1
f(-2) = 11
g(-2) = -6(-2) + 2
g(-2) = 12 + 2
g(-2) = 14
(f + g)(-2) = 11 + 14
(f + g)(-2) = 25
Problem 2:
f(x) = 7 + 2x
g(x) = 5x - 2
fg(7) = f(7) × g(7)
f(7) = 7 + 2(7)
f(7) = 7 + 14
f(7) = 21
g(x) = 5(7) - 2
g(x) = 35 - 2
g(x) = 33
Therefore:
fg(7) = 21 × 33
fg(7) = 693
Someone please help me thanks
Answer:
a. 7.2
Step-by-step explanation:
CAH (cos = adj/hyp)
cos53 = b/12; cross multiply
cos53*12 = 7.2
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 cos 5θ
Answer:
y-acis
Step-by-step explanation:
the function graph is symmetric about
- y-axis when it is an even function
-the origin ehen it is an even function
A symmetrical graph about the x-axis is not a function graph
f(×) is a even if and only if f(×) =f(×)
f(×) is a odd if and only f(×)=f(×)
We have the function r(0) = 4cos (50)
(only symmetry about the y-acis or about the origin)
Check r(-0)
r(-0) = 4cos (5-0) = 4cos (-50 = 4 cos (50)
Used cos (-× = cos ×
We have r(0). Therefore the graph of r(0) is symmectric about the y-axis.
convert 4 years to months
Answer:
48 months
Step-by-step explanation:
12 times 4 48
Answer:
48 months
There's 12 months in 1 year.
So we would multiply 12 months by 4 years to get 48 months
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
Answer:
$34,341
Step-by-step explanation:
Given :
Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
To obtain the best value for the mean salary ; we obtain the weighted average ;
Σ(salary * weight factor) / Σ weight
[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)
= 34341.34 / 1
Average salary = 34341.34
= $34,341 ( nearest dollar)
Practice D. Factor each trinomial.
1.
x² – 2x- 8
I
2.
y2 – 13y + 42
3.
m2 - 6m - 7
Help me answer those three factor please
Answer:
So 1) x²-2x-8
= x(x-2-8/x)
2) y²-13y+42
= y(y-13+42/y)
3) m²-6m-7
= m(m-6-7/m)
Hope it helps
Consider the trapezoid shown below.
6 in.
4 in.
6 in.
6 in.
(not drawn to scale)
Answer:
36
Step-by-step explanation:
1/2bh
1/2 (6*4) =12
Considering there are three triangles we will multiply by 3
12*3=36
solve for " x "
[tex]x = 42 - 9[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:33}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]x = 42 - 9[/tex]
➼[tex]\:x = 33[/tex]
Therefore, the value of [tex]x[/tex] is 33.
[tex]\sf\pink{Thank\:you. \:ヅ}[/tex]
Answer:
x =33
Step-by-step explanation:
x = 42-9
We are solving for x, which is already isolated
42-9 = 33
x = 33
Check 33+9 = 42
