Answer:
1/8
Step-by-step explanation:
The probability of getting tails on a single flip is 1/2.
Each of the flips is an independent event so you must multiply the probability of getting tails on each flip together.
So, your answer will look like this
[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] ; which equals;
1/8
Answer:
1/8
Step-by-step explanation:
To calculate the probability you have to name all possible results first. If you mark a result of a single coin flip as H for heads or T for tails all results of 3 flips can be written as:
Ω = { ( H , H , H ) , ( H , H , T ) , ( H , T , H) , ( H , T , T ) , ( T , H , H ) , ( T , H , T ) , ( T ,T , H ) , ( T , T , T ) }
Each triplet contains results on 1st, 2 nd and 3 rd coin. So you can see that in total there are 8 elementary events in Ω.
| Ω | = 8
Now we have to define event A of getting tails three times.
The only elementary event which satisfies this condition is ( T , T , T ) so we can write that:
A = { ( T, T , T ) }
| A | = 1
Now according to the (classic) definition of probability we can write, that:
P ( A ) = | A|/ | Ω | = 1 /8
So finally we can write the answer:
The Probability of getting 3 tails in 3 coin flips is 1 /8 .
Two different right cones are being considered by a design team to hold one liter (1000
cubic centimeters) of oil. Design A has a height that is double the diameter of the base.
Design B has a height that is triple the diameter of the base. Which design has a smaller
surface area? What percent less is that surface area?
Answer:
The surface area of Design A is smaller than the surface area of Design B.
The area of Design A is 94.65% of the Design B.
Step-by-step explanation:
The area of a right cone is given by the sum of the circle area of the base and the lateral area:
[tex] A = \pi r^{2} + \pi rL [/tex] (1)
Where:
r: is the radius
L: is the slant height
The slant height is related to the height and to the radius by Pitagoras:
[tex] L^{2} = H^{2} + r^{2} [/tex]
[tex] L = \sqrt{H^{2} + r^{2}} [/tex] (2)
By entering equation (2) into (1) we have:
[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]
Now, let's find the area of the two cases.
Design A: height that is double the diameter of the base, H= 2D = 4r
[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]
The volume of the cone is:
[tex]V = \frac{1}{3}\pi r^{2}H[/tex]
We can find "r":
[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]
[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]
The area is:
[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]
Design B: height that is triple the diameter of the base, H = 3D = 6r
The radius is:
[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]
The area is:
[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]
Hence, the surface area of Design A is smaller than the surface area of Design B.
The percent of the surface area of Design A is less than Design B by:
[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]
Therefore, the area of Design A is 94.65% of the Design B.
I hope it helps you!
HELPPPPPPPPPPPPPP MEHHHHHHHHHHHH I HAVE A D+ AND GRADE GO OUT THIS FRIDAY PLZZZZZZZZZ HELPPPPPPPPPPP
Write an equation for the line in slope-intercept
form.
Answer:
y = 2x + 3
Step-by-step explanation:
Evaluate F (-5) and f(2) without a calculator 
Answer:
f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.
PLS
HELP
ILL
GIVE
MORE
IF
ITS
RIGHT
Answer:
hello its me again and im trying to help you kid
Step-by-step explanation:
The answer to ur question is b
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answer:
20400
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
its £91 - £27.30 = £63.70
Step-by-step explanation:
£63.70 is how much she will pay
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume?
Answer: All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.
Step-by-step explanation:
A plane flies 220 miles in an hour with the jet stream. The return flight against the jet stream to the the original hangar takes 2
hours. Which system of linear equations can be used to find the rate of the jet stream and the speed of the plane?
A)
x + y - 440
x - y - 110
B)
x + y = 220
x-y-110
9.
x + y = 220
x+y=110
D)
x + y = 220
x - y = 220
Answer:
B
Step-by-step explanation:
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping. 2/3 of the caramel apples are covered with peanuts. 1/5 are covered with chocolate chips. 1/10 are covered with coconuts
The rest are covered with sprinkles. How many caramel apples are covered with sprinkles?
Answer:
Step-by-step explanation:
HELP ASAP HELP ASAP HELP HELP!!!!!!!!!!!
Answer:
Option 1
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
Select the correct answer.
What are the zeros of the quadratic function represented by this graph?
6
21
-X
.
2
2
4
6
-21
W
-61
+
Ο Α. .
1 and 3
OB. -3 and -1
Ос.
-3 and 1
OD.
-1 and 3
HELP pleaseeeeeeeeeeeee
Answer:
305 ft :)
Step-by-step explanation:
Which of these systems of equations is shown in the graph?
Answer:
C) y = -x - 2; y = 4x + 3
Hope this helps
The solution is Option C.
The system of equations is y = - x - 2 ; y = 4x + 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Let the second equation be represented as B
Now , the value of A is
y = - x - 2 be equation (1)
Now , the value of B is
y = 4x + 3 be equation (2)
On simplifying the equation , we get
The point of intersection on the graph is ( -1 , -1 )
Substituting the values in the equation , we get
when x = -1 and y = -1
y = - x - 2
-1 = - ( -1 ) - 2
-1 = + 1 - 2
-1 = -1
So , the solution to the equation is ( -1 , -1 )
And ,
y = 4x + 3
-1 = 4 ( -1 ) + 3
-1 = -4 + 3
-1 = -1
So , the solution to the equation is ( -1 , -1 )
Hence , the equations are y = - x - 2 and y = 4x + 3
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Condense logarithmic equation
Answer:
logm^3
Step-by-step explanation:
logm^5-logm^2
logm^5/m^2
log(m^5-2)
logm^3
What is the area of the square?
5 cm
200 cm?
O 100 cm
O 25cm
2
O 60cm
I need how you did it too
Answer:
100cm^2
Step-by-step explanation:
5×2=10 which is one side
base×height=area
10×10=100
find the product of 8(4/7-/18)
Answer:
keep it simple C
Step-by-step explanation:
HELP PLEASE HELPPPPPP MEEE WITH THISSS
9514 1404 393
Answer:
CEFA
Step-by-step explanation:
The perimeter is twice the sum of the side lengths.
P = 2(L+W)
__
1) P = 2(2x +(3x+2)) = 2(5x +2) = 10x +4 . . . . . letter C
2) P = 2((4x+1) +x) = 2(5x +1) = 10x +2 . . . . . . . letter E
3) P = 2(7 +(x+5)) = 2(x +12) = 2x +24 . . . . . . . letter F
4) P = 2(5 +(4x-3)) = 2(4x +2) = 8x +4 . . . . . . . letter A
The code word is CEFA.
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer:
Step-by-step explanation:
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Solve for y.
2 (y + 3) = 5y
Answer:
y=2
Step-by-step explanation:
Answer:2
Step-by-step explanation:i got it right thats all i know.can i get a branliest at least please.
Sabendo que 12 é raíz de p(x)=x²–mx+6 determine o valor de m A)25 B)2 C)14 D)12,5 E)7,5
Answer:
b
Step-by-step explanation:
A rectangular painting measures 1/2 yards wide and 5/4 yards long find the area of the painting in square yards.
Answer: 5/8 yards²
Step-by-step explanation:
The painting is in the shape of a rectangle as stated and the formula for finding the are of a rectangle is:
= Length * Width
The are of the rectangular painting is:
= 5/4 * 1/2
= 5/8 yards²
Witten in decimal form:
= 0.625 yards²
3x+-2y=-6
5x-2y=7
how do i solve this Elimination pls
Answer:
[tex]x=\frac{13}{2}, y=\frac{51}{4}[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}[/tex]
[tex]Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}[/tex]
A fishing boat was out to sea for 6 months and traveld a total of 9000 miles .In the first month , the boat traveled 659 miles . How many miles did the fishing boat travel during the last 5 months ?
Which one of these equations has one solution, and which has no solutions? (Math)
One solution means that x will only equal one number.
Many solutions means that no matter what number you replace x with, the equation will still be true.
No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.
One solution: x - 2 = 12
Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:
x - 2 (+2) = 12 (+2)
x = 12 + 2
x = 14
Many solution: x + 3 = 3 + x
Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:
If x = 1:
1 + 3 = 3 + 1
4 = 4
If x = 2:
2 + 3 = 3 + 2
5 = 5
etc.
No solution: x - 1 = x + 5
Check: No matter what number you plug in for x, both sides of the equation will not match. Check:
If x = 1:
1 - 1 = 1 + 5
0 ≠ 6
If x = 2:
1 - 2 = 2 + 5
-1 ≠ 7
etc.
~
Nathan solved an equation 4(x – 1) = −1(6x – 36) for x. His answers is x = 2. Is he 2
correct? If so, explain the steps he used to solve the equation. If he is not correct, explain what he should have done to solve the problem.
Answer:
He is not correct.
Step-by-step explanation:
he should have done
4(x-1) = -1(6x-36)
=> 4x-4 = -6x+36
=> 4x-4+4 = -6x +36+4
=> 4x+6x = -6x+6x+40
=> 10x = 40
=> (10x)/10 = 40/10
=> x = 4.
Two stakes are holding a small blimp in place. Stake A measures
an angle of elevation of 49° and Stake B measures an angle of
elevation of 58º. If the string attached to Stake A has a length of
148 feet, what is the length of the string attached to Stake B?
Answer: 131.7 ft
Step-by-step explanation: use 148 as side measure b, then solve for measure of side a
with two given angles and one given side, use law of sines.
a = b•sin(A)/sin(B) = 131.71071
c = b•sin(C)/sin(B) = 166.89278
if you want to find angle measures:
180-A-B
180-49-58=73
C=73
The length of the string attached to stake B is 166.3 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
An angle of elevation of stake A = 49°
The length of the string attached to stake A,a = 148 feet
An angle of elevation of stake B = 58°
Let the length of the string attached to stake B be b.
Then by law of sines,
[tex]\frac{Sine A}{a}=\frac{Sine B}{b}[/tex]
On substituting the above values,
⇒ [tex]\frac{Sine 49}{148}=\frac{Sine 58}{b}[/tex]
⇒ [tex]b=\frac{(Sine 58)(148)}{Sine49}[/tex]
⇒ [tex]b=\frac{(0.8480)(148)}{0.7547}[/tex]
⇒ [tex]b=166.29[/tex] ≈ [tex]166.3[/tex]
Hence we can conclude that the length of the string attached to stake B is 166.3 feet.
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Using the standard normal table, the probability that Seth’s light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about
Answer:
How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .
Answer:
89%
Step-by-step explanation:
brainliest please
Which geometric term best describes each figure
Answer:
Parallel lines
Step-by-step explanation:
parallel lines are lines that dont touch
Use a periodic table to calculate the applicable molar mass. Density of water is 1kg/1L.
A solution was made with 300 grams of (C3H5OH) and 500 grams of water.
What is the molarity of this solution?
Question 2 options:
0.19
0.81
10.33M
19 M
Answer:
What is the molarity of this solution is 0.81
Step-by-step explanation:
Answer option B) 0.81.
