Using it's concept, the sample space for the experiment is:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, BlueHence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}
The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.
You can learn more about sample space at https://brainly.com/question/25861936
review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps
Answer:
1-3-4-2-5
Step-by-step explanation:
[tex]tan\frac{\theta}{2}[/tex] <== Given
[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1
[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3
[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)
[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5
One kilometre is about 0.62 miles. It is 12 kilometres from Noah's house to the
ice skating rink. About how many miles is it from Noah's house to the ice
skating rink?
u'll get extra points if u answer guys!! pls help!!!!!
Answer:
7.44miles
Step-by-step explanation:
1km = 0.62miles
12km will be ; 0.62 × 12
= 7.44miles
The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.
Answer:
3, 5, ,7 or 9, 5, 1
Step-by-step explanation:
Let the three terms in AP be a - d, a & a + d
where a = First term and d = Common difference.
Condition 1: sum of three terms in AP is 15.
a - d + a + a + d = 15
3a = 15
a = 15/3
a = 5
Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:
a - d - 1, a - 1, a + d + 1
These terms are in G.P.
[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]
x + 7 when x = -11
What is the answer
0.081 to the nearest hundredth
Answer:
0.08
Step-by-step explanation:
a 1 in the thousandths place is dropped in standard rounding to the nearest hundredth.
Answer:
0.08
Step-by-step explanation:
In 0.081, 0 is the tenth, 8 is the hundredth, and 1 is the thousandth. So as you want to approximate to the nearest hundredth, you have to look at the number behind 8 which is 1. And, 1 is less than 5, so you don't have to round up.
Find a polynomial f(x) of degree 4 that has the following zeros. -7, 0, 1, 6
leave your answer in factored form.
please help! its my exam study guide and i need to finish it!
[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]
[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]
[tex]{ \color{darkred}{(2+√3)+(4-√3)}} = ?[/tex]
︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎
[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]
Answer:
6
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf(2 + \sqrt{3} ) + (4 - \sqrt{3}) [/tex][tex] \sf2 + \cancel {\sqrt{3} } + 4 - \cancel{\sqrt{3} }[/tex][tex] \sf6[/tex]What is 50 million + 32 hundred thousands + 41 hundred
Answer:
82041000
Step-by-step explanation:
50,000,000 + 32,000,000 + 41,000
Write -37.75 as a mixed number.
Answer:
[tex]-37\frac{3}{4}[/tex]
Step-by-step explanation:
0.75 is equivalent to three quarters, or (3/4).
3/4 would be the fraction. -37 would be the whole number.
[tex]-37.75 = \boxed{-37\frac{3}{4}}[/tex]
Hope this helps.
Answer:
- 37 3/4
Step-by-step explanation:
find the slope
a line that passes between (-5, 8) and (2,4)
Answer:
Step-by-step explanation:
formula : m=(y2-y1)/(x2-x1)
(4 - 8) / (2 - - 5)
-4 / 7
m = -4 / 7 = -0.57143
The triangle and rectangle have the same perimeter.find the value of x.
Answer:
[tex]x + 5 \: + \: x \: + 6 \: + x + 7 = 2x - 1 + x + 7 + x + 7 + 2x - 1[/tex]
[tex]3x + 18 = 6x + 12[/tex]
[tex]18 = 3x + 12[/tex]
[tex]6 = 3x[/tex]
[tex]x = 6 \div 3 = 2[/tex]
[tex]x = 2[/tex]
I hope this helps you !!(3x(3)+9X(2)+27X)/3X
3x | 3x^3+9x^2+27x |x^2+3x+9x
- 3x^3
-------
9x^2
- 9x^2
---------
27x
- 27x
--------
0
Answer:
x^2 + 3x + 9x
Hope you could get an idea from here.
Doubt clarification - use comment section.
The vertices of quadrilateral PQRS are listed.
P(3,7), Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS
A.
Quadrilateral PQRS is a square.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a rectangle.
D.
Quadrilateral PQRS is a parallelogram.
Answer:
It's C. for plato. It's a rectangle
Step-by-step explanation:
FILE BELOWAnswer:
its a rectangle .
Step-by-step explanation:
I NEED HELP WITH THESE
I am pretty sure of my answers, so I just need someone to double check. Explanation is not needed because I know how to solve it, just needs to be checked. You can put one it you want.
Answer:
(b) 500 km (b) 6 secondsStep-by-step explanation:
1.The semi-major axis length is √47196900 = 6870 km. That distance from the center of the Earth means the satellite is ...
6780 -6370 = 500 . . . km
from the surface of the Earth.
The satellite is a maximum of 500 km from the Earth.
(It is a minimum of 250 km from Earth.)
__
2.The equation has a zero at t=6. When the car's velocity is zero, it is at a complete stop.
The car comes to a complete stop when time is 6 seconds.
(The car is still being accelerated, so it doesn't stay stopped.)
__
I prefer a graphing calculator for a quick solution. You can also solve this equation algebraically.
0 = 0.5t^2 -10.5t +45 . . . . t when v(t) = 0
t^2 -21t +90 = 0 . . . . . . . multiply by 2
(t -6)(t -15) = 0 . . . . . . . . factor
t = 6 or t = 15 . . . . . . . only t=6 is in the domain of the function
The base of a triangle is 4 ft more than the height. If the area is 30ft2, find the base and the height.
Answer:
Base = 10 ft. and the height = 6.
Step-by-step explanation:
Area of triangle = 1/2bh
base is 4 + h ⇔ base = 4 + h
height = h
Using the formula for the area of triangle substitute into the formula the given facts.
A = 1/2bh
30 = 1/2(4 + h) (h)
30 = 1/2(4h + h²) Multiply both sides by 2
60 = 4h + h²
-60 = -60 Add -60 to both sides
0 = h²+ 4h -60
(h + 10)(h - 6) = 0 Factor
h + 10 = 0 h - 6 =0
h = -10 h = 6
reject any negative number and use the positive answer for h.
So h = 6 and the base = 4 + 6 ; base = 10
Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed
Answer:
Step-by-step explanation: This is the answer
Example 8: Over the track-and-field season, the height Fred cleared in the high jump increase from 1.81 m to 1.96 m. a) Find Fred's percent increase in height. W b) What final height would Fred have to clear for a 20% increase in height over the track-and-field season?
Answer:
a. about 8.3%
b. 2.172 m
Step-by-step explanation:
a. 1.81 * x = 1.96
x = 1.083
Percent increase is approximately 8.3%
b. 1.81 * 1.2 = x
x = 2.172 m
Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.
Answer:
2
Step-by-step explanation:
Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is
which among the following
We have:
[tex]1-\frac{1}{3} >0[/tex] ; [tex]1- \frac{11}{17}>0[/tex] ; [tex]1-\frac{132}{157}>0[/tex] ⇒ right
[tex]\frac{-1}{7}, \frac{-51}{107},\frac{-347}{949} <0[/tex] ⇒ wrong
[tex]\frac{7}{5}, \frac{131}{47} ,\frac{945}{711} >1[/tex] ⇒ wrong
ANSWER: [tex]\frac{1}{3} ,\frac{11}{17} ,\frac{132}{157}[/tex]
ok done. Thank to me :>
As a hurricane approaches, the air temperature changes −7.8°F every hour.
Which value represents the change in air temperature over 1.25 hours?
−9.75°F
−9.05°F
−6.55°F
−6.24°F
The change in air temperature over 1.25 hours is -9.75°F
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
As a hurricane approaches, the air temperature changes −7.8°F every hour. The amount of change after 1.25 hours is:
Change = −7.8°F every hour * 1.25 hours
Change = -9.75°F
Therefore the change in air temperature over 1.25 hours is -9.75°F
Find out more on linear equation at: https://brainly.com/question/14323743
Solve the equation. -10=2y
Answer:
y=-5
Step-by-step explanation:
-10/2=2y/2
-5=y
y=-5
Answer:
y = - 5
Step-by-step explanation:
You have yo divided the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
What is the answer to 1010 + 0101? (Binary) *
Answer:
1111 is the answer to your question.
Xavier has 29 baseball
cards he'd like to share
with his 3 best friends.
Each friend gets an equal
number of cards. How
many baseball cards will
be left over?
Math
Answer:
2
Step-by-step explanation:
29 % 3 = 9
3x9 = 27
29 - 27 = 2
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 Seconds.
Step-by-step explanation:
The answer is 217 seconds because 60x3+37=217.
HELPPPP ASAPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
someone please please please answer!!!
Answer:
7.07 or "5 × square root of 3"
Step-by-step explanation:
in an isosceles triangle, the longest side is equal to "x × square root of 3" while the other two sides equal x. hope this helps
(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?
Answer:
19
Step-by-step explanation:
in question given ,x = 2, y = 3, z = 5 in this way
(3x+3z+2w) and find the value of w . according to given values and put
Answer:
4 +30/w . . . . for any w≠0
Step-by-step explanation:
The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.
The ratio requirement means ...
(x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5
Considering the first equality, we can multiply by 6 and subtract the right side.
3(x -y +z) -2(y -z +2w) = 0 ⇒ 3x -5y +5z -4w = 0
Considering the first and last expressions, we can multiply by 10 and subtract the right side.
5(x -y +z) -2(2x +z -10) = 0 ⇒ x -5y +3z = -20
These two equations have solutions ...
x = 10 -z +2w
y = 6 + 0.4z +0.4w
Using these expressions in the ratio of interest, we have ...
(3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w
= (30 +4w) : w
Expressed as a mixed number, the ratio of interest is ...
(30 +4w)/w = 4 +30/w . . . . an infinite number of solutions
__
For positive values of w that are divisors of 30, there are 8 possible values:
(w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)
_____
Check
It might be interesting to substitute the expressions for x and y into our original equation(s).
(x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)
(y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)
(2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)
All of these expressions are identical, as they should be.
9
11 (a) Grapes cost £2 per kilogram.
Calculate the cost of 380g of grapes.
Answer:
£0.76
Step-by-step explanation:
1kilogram = 1000grams
1000g of grapes costs £2
380g costs = (380 × 2)/ 1000
760/1000 = £0.76
Solve using substitution,
y = -3
x + 3y = -6
Please help
Answer:
x=3
Step-by-step explanation:
x+3(-3)=-6
x-9=-6
+9 +9
x=3
Answer:
x=3 y=-3
Step-by-step explanation:
solve for x then substitute x in the original problem then solve for y
PLEASE HELP ASAP! harold makes a plan to save $500 per month for the next 5 years. He is depositing it in an interest bearing account at 2% APR (compounded monthly). What will be Harold’s balance at the end of 5 years?
Answer:
50
Step-by-step explanation: