Answer:
S = {1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Step-by-step explanation:
A sample space is the set of all outcomes that may come. It consists of all the values that may result in result of an experiment.
In the given problem, we have to find the sample space of rolling a dice and flipping a coin
As the dice has 6 sides and coin has 2 sides
The number of outcomes are: 6*2 = 12
The outcome of dice can either be with heads of coin or tails of coin.
The sample space will be:
S = {1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Keywords: Sample Space
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answer:
easy, if the intercepts or roots or zeros of the equation are r₁ and r₂ then 2 factors of the equatain are (x-r₁) and (x-r₂)
so
we see it intercepts the x axis at 1 and 6
r₁=1
r₂=6
therefore 2 roots are (x-1) and (x-6)
answer is 2nd option
Step-by-step explanation:
if
Answer:
b
Step-by-step explanation:
took the quiz got it right
HELP ASAP!!!!!
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer:
The height would be 9.1923 ft
-x^2+2x-5^3-4x+5 in standard form
Answer:
[tex]x^{2}[/tex]-2x-120
Step-by-step explanation:
Answer:
-5x^3 - x^2 - 2x + 5
Step-by-step explanation:
Rewrite the given expression in descending powers of x:
-5x^3 - x^2 - 2x + 5
A shepkeeper bought a bottle of cooking oil at $ 4.54 He then sold it for $7.49. inclusive of GST. The GST of 7% of the selling pnce is to be paid to the government.
(A) Find the GST he had to pay (B) Find the profit in selling one bottle of cooking oil.
Answer:
GST = $0.32
PROFIT = $2.63
Step-by-step explanation:
GST = 7% of $4.54 = 0.32
Profit = 7.49 - ( 4.54 + 0.32)
= 7.49 - 4.86
= 2.63
need help please ! parallelogram
Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = [tex]\frac{180}{60}[/tex]
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = [tex]\frac{154}{14}[/tex]
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
Please help :)))))))!!!
Answer:
i think its the option one, not sure
Find the roots. List your steps correctly. 2 points each (Show ALL steps of work, check each answer, and state the solutions correctly for full credit) a. f (n) = n2 − 6n − 16
Answer:
use quizlet
Step-by-step explanation:
Answer:
8 and -2
Step-by-step explanation:
f (n) = n² − 6n − 16
n² − 6n − 16=0n²-2*3n+9=25(n-3)²=25n-3=5 ⇒ n=8n-3= -5 ⇒ n= -2John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for different hours?
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,100 and 2,100 and 3,100.
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,20 and 2,40 and 3,60
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,10 and 2,20 and 3,30.
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,40 and 2,80 and 3,120.
Answer:
The answer is B.
Step-by-step explanation:
You would pay about $20 each hour
Answer:
The answer is B)
Step-by-step explanation:
Simplify the radical expression.
4 sqrt 625x^12y^8
Answer:
[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[4]{625x^{12}y^8}[/tex]
Required
Simplify
We start by splitting the roots
[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{625}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]
Express 625 as exponents
[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]
From laws of indices
[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]
So,
[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex] becomes
[tex]\sqrt[4]{625x^{12}y^8} = {5^\frac{4}{4}} * {x^\frac{12}{4}} * {y^\frac{8}{4}}[/tex]
[tex]\sqrt[4]{625x^{12}y^8} = 5 * {x^3} * {y^2}[/tex]
[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]
Use the information to estimate the number of swimmers on the team.
A swim team is divided into age groups: Guppies Stingrays and Sharks. There are 20 swimmers in
the Stingray group. If we randomly select 10 swimmers and 4 are Stingrays. How many swimmers can
we estimate are on the team?
We can estimate that there are___Swimmers on the team
Need help
Answer:
50 Swimmers
Step-by-step explanation:
If 4/10 swimmers are stingrays, that means that roughly 40% of the swimmers are stingrays. If there are 20 Stingrays and that is 40% of 100% swimmers it means that stingrays make up 2/5 of the swim team members. You can use this equation to cross multiply:
20/x = 40/100
20/x = 4/10
20/x = 2/5
x = 50.
This shows that there are 50 people on the team.
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is, where I
represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of
the rectangle?
E:
7 in.
8 in.
09 in.
10 in.
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
c) Ali had x packets of nasi lemak and shared
them equally among 5 persons. Each
person received 3 packets.
Answer:15
Step-by-step explanation:
If each person gets 3 packets and there are 5 people you take 5*3 and get 15
What is the value of m in the equation zman=16, when n=8?
20
32
44
48
Answer:
32
Step-by-step explanation:
thats what i think, im 99.9% im correct
3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the
car if the car accelerates at 0.85 m/s??
Answer:
1,500 Kg
Step-by-step explanation:
Formual for froce is given by
force = mass * acceleration
Force exerted by 1 woman = 425 N
no. of women exerting force = 3
Force exerted by 3 woman = 425 * 3 N = 1275 N
Acceleration produced by 1275 N force = 0.85 m/s^2
Using formula force = mass * acceleration
1275 = mass * 0.85 m/s^2
=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg
Thus, mass of car is 1,500 Kg.
Which rule describes the translation KLMN - K’L’M’N
Niu has decorated x cards he started with 24 stickers and he used 4 stickers per card
Answer:
6
Step-by-step explanation:
4 stickers each x 6 cards = 24 stickers used
you can try random numbers until you get your answer
Answer:
Total number of cards = 6
Step-by-step explanation:
Number of cards = Total number of stickers/ number of stickers per card
= 24/4
= 6
Desmond wants to buy a card for his wife. Desmond calculates the amount of the card as $4.50. The actual price of card is $4. What is Desmond’s percent error?
Answer:
14.28 percent
Step-by-step explanation:
if f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).
Answer:
[tex]-7x-3[/tex]
Step-by-step explanation:
[tex](f-g)(x)[/tex] just means [tex]f(x)-g(x)[/tex].
So
[tex]-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3[/tex]
4t+ 3.5 = 2.25 solve the equation
Answer:
-0.3125
Step-by-step explanation:
Subtract 3.5 from both sides
4t = -1.25
Divide both sides by 4
t =. -0.3125
Answer:
1.3335
Step-by-step explanation:
Express the inequality using interval notation.
x < -4
Answer:
x< -4 = ( -∞, -4)
Our Town Bakery is counting the amount of cookies sold in 14 days. The bakery sold 316 cookies each day. How many coplies did they sell in all during those 14 days?
Answer:
4,424 cookies
Step-by-step explanation:
14 times 316 is 4,424 cookies.
I PROMISE YOU, FIRST PERSON TO ANSWER IT 'CORRECTLY' GETS BRAINLY. Monica found a pair of skis that cost $122 more than the times the cost of the sled. The cost of the pair of skis was $197. What was the cost of the sled?
Answer:
$75 for the sled. (I don't understand "more than the times the cost of the sled")
Step-by-step explanation:
I don't understand "more than the times the cost of the sled" but if you were trying to figure out the cost of the sled, then it would be:
197-122=
75
y = x^2- X-6
O A. (x-6)(x + 1)
O B. (x+3)(x-2)
O C. (x - 3)(x + 2)
D. (x-6)(x+5)
If the slant height of a right cone is 5 inches, and the radius of its base is 3 inches, what is the lateral area of the cone?
π square inches
Answer:
The laterals area is 15 [tex]\pi[/tex] square inches
Step-by-step explanation:
recall that the formula for the lateral area of a cone of radius R, when the slant height (hs) is given is defined by the formula:
[tex]lateral\,\,area=\pi \,R\,h_s[/tex]
Therefore, in this case, we have:
[tex]lateral\,\,area=\pi \,R\,h_s\\lateral\,\,area=\pi \,3\,*\,5\\lateral\,\,area=15 \, \pi[/tex]
That is 15 [tex]\pi[/tex] square inches
Answer:
15 pi square inches
Step-by-step explanation:
I just did it
Brainliest pls
Please hurry
What is the equation of the line that is parallel to the linear graph of
y = 2x – 1 and passes through the point (-1, 1)?
Answer:
y=2x+3
Step-by-step explanation:
Parallel: slope is 2
y-1=2(x+1)
y-1=2x+2
y=2x+3
Please help I don’t understand I need help please
Answer:
the range is from 0 to 6 , so 6
Step-by-step explanation:
Answer:
0-6
Step-by-step explanation:
i think
I need help asap lol
Answer:
13/38
Step-by-step explanation:
the number of kids who have 1 sibling is 13
the total is 38
13/38
2/5 +2/3 is equal to
Answer: 16/15
Step-by-step explanation:
2/5 + 2/3
(3/3)2/5 + (5/5)2/3
6/15 + 10/15 = 16/15
Answer:
1 1/15
Step-by-step explanation:
To solve this, you must find a common denominator.
The common denominator that comes to my mind is 15.
2/5 = 2*3/5*3
2/5= 6/15
2/3= 2*5/3*5
2/3= 10/15
6/15 + 10/15 = 16/15
16/15= 1 1/15
Solve the system of equations and choose the correct ordered pair.
Answer:
C (2,5)
Step-by-step explanation:
Adding the equations, we get 10x+y=25
Multiplying that by 2 we get 20x+2y=50
Add that with the first equation, we get 24x=48, x=2.
Plugging x as 2 in, we see y = 5
So its (2,5)
The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in3 = 0.00433 gal)
13 in.20 in.13 in.
The amount of water left is about
gallons.
This question is incomplete because it is not properly and correctly written.
Find attached to this answer a hand drawn sketch diagram of the Aquarium (rectangular prism) showing its dimensions.
Complete Question
The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in³ = 0.00433 gal)
The dimensions of the rectangular prism is given as:
Height = 13 in
Width = 13 in
Length= 20in
The amount of water left is about ____ gallons.
Answer:
The amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water
Step-by-step explanation:
Step 1
We are given a rectangular prism with the dimensions :
Height = 13 in
Width = 13 in
Length= 20 in
The first step would be to find the Volume of the Rectangular prism
Volume of the rectangular prism = Length × Width × Height
= 20in × 13in × 13in
= 3380 in³
From the question, we are given the hint that
1 in³ = 0.00433 gal
This means that 1 in³ of an object contains 0.00433 gallons of water.
Therefore, if
1 in³ = 0.00433 gal
3380 in³ =
Cross multiply
2880 in³ × 0.00433 gal
= 14.6354 gal
This means the Aquarium (rectangular prism) contains 14.6354 gallons of water.
Step 2
A spherical ball with the diameter of 8 inches was dropped into the aquarium.
We would find the volume of the spherical ball.
Volume of the Spherical ball = 4/3πr³
Radius = Diameter ÷ 2
= 8 inches ÷ 2 = 4 inches.
Volume of the Spherical ball = 4/3 × π × 4³
Volume of the Spherical ball = 268.08in³
Step 3
We would be converting the Volume of spherical ball to gallons because this gives us the quantity of water spilled due to the sinking of the spherical ball
If , 1 in³ = 0.00433 gal
268.08in³ =
Cross multiply
268.08 in³ × 0.00433 gal
= 1.1607864 gal.
Step 4
The fourth and final step is to subtract the volume of water in the aquarium from the volume of water spilled
14.6354 gal - 1.1607864 gal
= 13.4746136 gal
Approximately to the nearest tenth = 13.5 gal
Therefore, the amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water.