HELP! Suzi, Dmitri, and 11 of their classmates are playing a game. The game will have a single winner. If the game is fair, what is the probability that NEITHER Dmitri nor Suzi wins?
Answer:
I would say 2:13
Step-by-step explanation:
There are 11 classmates playing and if you add Suzi, and Dmitri, that would make it a total of 13 people playing.
If Neither Dmitri nor Suzi will, that would be 2 people in a total of 13.
solve the inequality
[tex]2(4 + 2x) \geqslant 5 + 5[/tex]
Answer:
Step-by-step explanation:
8 + 4x ≥ 10
4x ≥ 2
x ≥ 2/4
x ≥ 1/2
what is the number of possible permutations of 8 objects Taken 3 at a time
The number of possible permutations of 8 objects taken 3 at a time is 336.
The formula for PermutationThe formula to calculate the permutation of 'n' object taken 'r' at a time is [tex]P_{r}=\dfrac{n!}{(n-1)!}[/tex].
How to find the number of possible permutations?The formula for calculating the permutation is [tex]P_{r}=\dfrac{n!}{(n-r)!}[/tex] where 'n' is the number of distinct objects taken 'r' at a time.
Thus we will substitute n=8 and r=3, we will get
[tex]P_{3}=\dfrac{8!}{(8-3)!}\\P_{3}=\dfrac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{5!}\\P_{3}=\dfrac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{5\times 4\times 3\times 2\times 1}\\P_{3}=8\times 7\times 6\\P_{3}=336[/tex]
So, the number of possible permutations of 8 objects taken 3 at a time is 336.
Learn more about Permutation here-https://brainly.com/question/1216161
#SPJ2
The interior angles of a triangle are 42°,56° and 2x°. Find the value of x.
Answer:
41 degrees
Step-by-step explanation:
Since the sum of the interior angles of a triangle will always be 180 degrees:
42+56+2x=180
2x=82
x=41
Hope this helps!
Answer:
X=41°[tex]solution \\ 42 + 56 + 2x = 180(sum \: of \: angle \: in \: triangle) \\ or \: 98 + 2x = 180 \\ or \: 2x = 180 - 98 \\ or \: 2x = 82 \\ or \: x = \frac{82}{2} \\ x = 41[/tex]
hope this helps...
Good luck on your assignment...
Dr.Chavez drew a rectangle on a coordinate plane to estimate the size of a lake. Each unit represents 1 mi. The coordinates of the rectangle are the origin, (0,7.65), (12.8, 7.65) and (12.8,0). Based on the information, what is the perimeter of the lake?
Answer:
40.9 mi
Step-by-step explanation:
The four points will make the rectangle, and each pair of points in sequence will create a side of the rectangle. So, to find the length of each side, we need to find the distances between each pair of points in sequence:
distance between (0,0) and (0, 7.65) -> |7.65 - 0| = 7.65 mi
distance between (0,7.65) and (12.8, 7.65) -> |12.8 - 0| = 12.8 mi
distance between (12.8, 7.65) and (12.8, 0) -> |0 - 7.65| = 7.65 mi
distance between (12.8, 0) and (0, 0) -> |0 - 12.8| = 12.8 mi
So the perimeter is 7.65 + 12.8 + 7.65 + 12.8 = 40.9 mi
Answer:
40.9 mi
Step-by-step explanation:
will make it simple and short
in a surveying measurements with coordinates, we always take it from the Zero. So each coordinates must be subtracted from Zero to get the length of each point.
therefore the perimeter = 0 + 7.65 + 12.8 + 7.65 + 12.8 + 0 = 40.9 mi
-7/10+7/15+1/-20+-9/10+11/15+11/-20
what is the answer please help me .....!!!!
Answer:
-1
Step-by-step explanation:
-7/10+7/15+1/-20+-9/10+11/15+11/-20
= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20
= -16/10 + 18/15 + 12/-20
= -8/5 + 6/5 + -3/5
= (-8+6-3)/5
= -5/5
= -1
which expression is equivalent to 7/12?
if i understand correctly what you mean by this question the answer could be
14/24
28/48
you can just keep multiplying the top and the bottom by the same number to get an equivalent fraction
im sorry if i understood the question wrong, i hope this helped a little bit
Disclaimer: The options are missing. The options to the question are:
A.7x1/12; B.7/7x12/12; C.1/7x7/12; D.12x1/7
The expression equivalent to 7/12 is 7x1/12. So, option A. is the right choice.
What are equivalent fractions?Two fractions are said to be equivalent fractions when they both give the same value in their reduced or simplest form.
How do we solve the given question?We are asked to find the expression equivalent to 7/12 from the given options.
To solve the question, we reduce all the options to their simplest form. The option = 7/12 will be our answer.
A. 7 * 1/12 = 7/12B. 7/7 * 12/12 = 1*1 = 1C. 1/7 * 7/12 = 1/12D. 12 * 1/7 = 12/7As we can see only option A. 7 * 1/12 = 7/12 in its simplest form, so it is the right option.
Learn more about equivalent fractions at
https://brainly.com/question/875439
#SPJ2
The day after her birthday party 1/3 of Emma’s birthday cake is left is the remaining cake is shared equally among Emma her brother Owen and their mother and father what fraction of the original Kikoo each of them get
Answer:1/4
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
1/3 ÷ 4
1/3 x 1/4 = 1/12
how to find the distance from a velocity-time graph?
Answer:
Calculating the distance travelled
Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.
Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.
½ × base × height.
½ × 6 × 2 = 12 m 2
(10 – 6) × 2 = 8 m 2
Answer:
Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.
Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.
½ × base × height.
½ × 4 × 8 = 16 m 2
(10 – 4) × 8 = 48 m 2
Step-by-step explanation:
Is the real number rational or irrational? rational irrational
Answer:
rational
Step-by-step explanation:
Answer:
Rational.
Step-by-step explanation:
A real number is rational.
Suck at maths! HELP!
Answer:
Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.
If h(x)=x-7and g(x)=x^2, which expression is equivalent to(g*h)(5)?
Answer:
(g*h)(5) is g(h)=x
Step-by-step explanation:
because if h(x)=x-7 and g(x)=x^2.
use the discriminant to determine the nature of the roots of the quadratic equation
The given equation is in the form ax^2 + bx + c = 0, where
a = 2
b = -12
c = 18
Those a,b,c values are plugged into the discriminant formula below
d = b^2 - 4ac
d = (-12)^2 - 4(2)(18)
d = 144 - 144
d = 0
The discriminant is zero, so there is only one real root. This root is specifically a rational number.
I need help .... can y’all help me
6. C.
7. B.
8. B.
9. B.
10. C
Which expression is equivalent to -36 – 8?
Choose 1 answer:
A.36 + 8
B.-36 + (-8)
C.8 – 36
D.-8+36
Answer:B
Step-by-step explanation:
-36 – 8=-44
36+8=44
-36 + (-8)=-44
8 – 36=-28
-8+36=28
As you can see only B equals -44 just like the expression given,
Hope my explanation helps
B. Nina buys a variety of cereal bars. The box contains 5 blueberry bars, 3 strawberry bars, and
2 apple bars. Write the ratio that represents each relationship in words, in colon form, and in
fractional form.
1. strawberry bars to blueberry bars
2. apple bars to blueberry bars
3. strawberry bars to total bars
4. apple bars to total bars
5. blueberry bars to total bars
6. apple bars to strawberry bars
Answer:
The requested ratios in words, colon form, and fraction form are:
1. strawberry bars to blueberry bars = 3 : 5 = 3/5
2. apple bars to blueberry bars = 2 : 5 = 2/5
3. strawberry bars to total bars = 3 : 10 = 3/10
4. apple bars to total bars = 2 : 10 = 2/10= 1/5
5. blueberry bars to total bars = 5 : 10 = 5/10 = 1/2
6. apple bars to strawberry bars =2 : 3 = 2/3
Step-by-step explanation:
Let's start by doing an inventory of what Nina has:
Apple bars = 2
Blueberry bars = 5
Strawberry bars = 3
Total bars = 10
The requested ratios then are:
1. strawberry bars to blueberry bars = 3 : 5 = 3/5
2. apple bars to blueberry bars = 2 : 5 = 2/5
3. strawberry bars to total bars = 3 : 10 = 3/10
4. apple bars to total bars = 2 : 10 = 2/10= 1/5
5. blueberry bars to total bars = 5 : 10 = 5/10 = 1/2
6. apple bars to strawberry bars =2 : 3 = 2/3
URGENT PlZ Help
which statement is an example of the transitive property of congruence
[tex]the \: answer \: is \: of \: option \: a \\ \\ for \: example \\ \\ if \: a = b \: and \: b = c \\ then \: we \: can \: say \: a = c \\ hope \: it \: helps[/tex]
Answer:
A is the answer
Step-by-step explanation:
The transitive property is if ABC=DEF and DEF=GHI, then ABC=GHI. The concept is the same here, just with different letters.
when a number,n is increassed by two and then the result is divided by five the quotient is equal to 14. write an equation and solve it to find the value of n.
Answer:
68
Step-by-step explanation:
(n+2)/5=14
n+2=14*5
n+2=70
n=70-2
n=68
Answer:
68
Step-by-step explanation:
Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1?
–6 is in the domain of f(x) but not in the range of f(x).
–6 is not in the domain of f(x) but is in the range of f(x).
–6 is in the domain of f(x) and in the range of f(x).
–6 is neither in the domain of f(x) nor in the range of f(x).
Answer:
Option B.
Step-by-step explanation:
The given function is
[tex]f(x)=-2\sqrt{x-7}+1[/tex]
The above function is defined if (x-7) is greater than 0.
[tex]x-7\geq 0[/tex]
Add 7 on both sides.
[tex]x\geq 7[/tex]
It is means domain of the function is [tex][7,\infty)[/tex]. So, -6 is not in domain.
We know that
[tex]\sqrt{x-7}\geq 0[/tex]
Multiply both sides by -2. So, the sign of inequality will change.
[tex]-2\sqrt{x-7}\leq 0[/tex]
Add 1 on both sides.
[tex]-2\sqrt{x-7}+1\leq 0+1[/tex]
[tex]f(x)\leq 1[/tex]
It is means range of the function is [tex](-\infty,1][/tex]. So, -6 is in Range.
Since –6 is not in the domain of f(x) but is in the range of f(x), therefore the correct option is B.
Answer:
B
Step-by-step explanation:
Find the area of the shaded region. Can I have the steps explained please?
Answer:
76.3 cm²
Step-by-step explanation:
step 1
area of circle= πr²= 3.14*5²= 78.6 cm²step 2
area of 60° sector= 60/360*area of circle= 1/6*78.6= 13.1 cm²step 3
Area of equilateral triangle = √3/4a²= √3/4*5²= 10.83 cm²step 4
Area of circle - area of sector + area of triangle= 78.6 - 13.1 + 10.8= 76.3 cm²The diameter of a bicycle wheel is 50 cm. How many complete rotations does it make over a distance of 3km?
Answer:
47.12388
Step-by-step explanation:
Wheel Diameter = Wheel 2 x Radius; 50 cm / 2 = 25 cm.
For one rotation of the wheel, the distance travelled = circumference of the wheel.
Circumference = 2 x pi x radius = 2 x 3.1415926858 x 25 cm = 157.07 cm approx.
Distance travelled with 30 turns of the wheel = 30 x 157.07 = 4712.39cm approx.
Distance in meters = 4712.39cm / 100 = 47.12388 meters approximate (1 cm = 1/100th of a meter).
hope it helps you
The requried bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.
What is the circumference?The circumference of the bicycle wheel is equal to its diameter multiplied by π (pi).
Here
Circumference = diameter x π = 50 cm x 3.14 ≈ 157 cm
To find the number of rotations, we need to divide the distance traveled by the circumference of one rotation:
Number of rotations = Distance ÷ Circumference
Number of rotations = 300000cm ÷ 157 cm = (3000 m ÷ 157 cm) ÷ (100 cm ÷ 1 m) = 1910.82
Therefore, the bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.
Learn more about circumference here:
brainly.com/question/6465134
#SPJ3
Simplify 3x(2x + 4y)
Answer:
[tex]6x^2+12xy[/tex]
Step-by-step explanation:
By the distributive property:
[tex]3x(2x+4y)= \\\\3x(2x)+3x(4y)=\\\\6x^2+12xy[/tex]
Hope this helps!
factorise 32 x cube minus 8 y square
Answer: [tex]8(4x^3-y^2)[/tex]
Step-by-step explanation:
[tex]32x^3-8y^2[/tex]
[tex]8(4x^3-y^2)[/tex]
Simplify square root of c^2d^6 / square root of 4c^3d^-4
a. d^2 / 2 square root c
b. d^5 / 2 square root c
c. d^5 / 2-c
d. d^2 / 4c
Answer: B on ed, i just took my test
Step-by-step explanation:
Answer:
on edge 2021
Step-by-step explanation:
just took the test :)
A sequence is defined by the recursive function f(n + 1) = –10f(n). If f(1) = 1, what is f(3)?
Answer:
f(3) = 100
Step-by-step explanation:
Using the recursive formula and f(1) = 1 , then
f(2) = - 10 f(1) = - 10 × 1 = - 10
f(3) = - 10 f(2) = - 10 × - 10 = 100
Answer:
100
Step-by-step explanation:
What is the slope of the line represented by the equation f(t)=2t-6
Answer:
The slope would be 2
Step-by-step explanation:
Your slope-intercept form is always y=mx + b
The b is always your constant
The mx is your slope
The y is your output
Answer: Slope: 2 & Y-int: -6.
Step-by-step explanation:
I will try to explain it in my own simple way for you to understand, however, I may be wrong.
The form, y=mx+b, think of f(t) as y, the 2t as m, the t as x, and the -6 as the y-intercept. Since the -6 is the opposite of +b, in the y=mx+b, it would be -6.
Hope this helped.
What’s the answer to this ??
Answer:
Option C
Step-by-step explanation:
zero's are
(2, 0) and (0, -2)
y= x-2, x<3
(3, 2) and (4,3)
y=x-1, x≥3
These are covered in Option C
Find the surface area of a cylinder with a diameter of 4 cm, and a height of
8 cm. (use 3.14 for Pi) *
Answer:
125.66
Step-by-step explanation:
May someone please help me with this question
Answer:
2+i or 2-i (D)
Step-by-step explanation:
First you use the quadratic formula. X= (-b +/- [tex]\sqrt{b^{2}-4ac }[/tex])/2a
a=1
b=-4
c=5
X= (4 +/- [tex]\sqrt{16-20}[/tex])/2
X=(4 +/- [tex]\sqrt{-4}[/tex])/2
The square root of -4 is 2i. i=√-1. Therefore 2i= 2√-1 .If you simplify that, it becomes √-4i.
X= (4+/- 2i)/2
X= 2+/-i
X= 2+i or 2-i
YEAR 9 MATHS- PLEASE HELP
The shape A has been reflected on the line drawn to give shape B.
State the equation of the line.
Answer:
y=2
Step-by-step explanation:
since the line is horizontal, on the point 2 on the y axis, the equation is 2. If, however the line were to be diagonal, it would have been different, as would it if the line were vertical(in which case, the equated would start x =)
Hope this helps
Answer: y =2
Step-by-step explanation: