Answer: 1/36
Explanation: In this problem, we're given that a number cube is rolled twice and we're asked to find the probability of rolling a 4 and a 4.
It's important to understand that the two rolls of the number cube are independent events because the results of one role does not affect the results of the other roll.
To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.
So let's first find the probability of rolling
a 4 with our first role of the number cube.
We can find the probability of an event using the following ratio:
number of favorable outcomes over total number of outcomes
Since there's only one way to roll a 4 and there are six possible outcomes 1, 2, 3, 4, 5, and 6, the probability of rolling a 4 is 1/6.
Next, we find the probability of rolling a 4 with our second roll of the number cube, which would also be 1/6.
Now, to find the probability of rolling a 4 and a 4,
we simply multiply the probabilities.
Now multiply 1/6 x 1/6 by multiplying across the top and bottom.
This gives us 1/36.
So the probability or likelihood of rolling a 4 two times in a row is 1/36.
Which of the following is equal to7 1/4?
Answer:
[tex]B. \sqrt[4]{7} [/tex]
[tex] {7}^{ \frac{1}{4} } = \sqrt[4]{7} [/tex]
Answer:
b
Step-by-step explanation:
teérrt
Gia is painting her wall. 1 liter of paint can cover 10 square meters. She has a rectangular wall that
measures 4 meters by 5 meters.
How many liters of paint will Gia need to cover her wall
The quantity of paint will be 2 litres for 20 square meters area.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Gia is painting her wall. 1 litre of paint can cover 10 square meters. She has a rectangular wall that measures 4 meters by 5 meters.
The total area of the wall = 4 x 5 = 20 square meters
Paint for 10 square meters area = 1 litre
Paint for 20 square meters area = 1 x 2 = 2 liters
Therefore, the quantity of paint will be 2 litres for 20 square meters area.
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Select the expression that is equivalent to 48 + 12.
Answer:
Where are the expressions?
Answer:
48+12=60
60÷2=30
your answer is 30+30
Preston signed up for overdraft protection at his bank. This bank charges an overdraft fee of $30 for insuffcient funds. Preston has a balance of $50. He then purchased a pair of tennis shoes using his bank debit card. If the total charge for the tennis shoes is $52, what will be Presont's new balance?
Answer:
-$32
Step-by-step explanation:
Given that
Overdraft fee = $30
Preston Balance = $50
Total expenditure = $52
As per the given question the solution of new balance is provided below:-
To reach the new balance of Presont's first we need to find out the overdraft balance which is as follows:-
Overdraft balance = Balance - Total expenditure
= $50 - $52
= -$2
Since there is a balance of $50 but Pretson purchased for $52 value that results -$2 overdraft balance. In order to determine the new balance we simply added the overdraft fee and overdraft balance which is shown in negative sign.
Now according to the question the New balance of Presont's = Overdraft balance - overdraft fee
= -$2 - $30
= -$32
okay i got the first one down what about this one GUYS PLEASE HELP BECAUSE I HAVE TO BE SOMEWHERE AND IF I DONT GET THIS THEN I CANT GO PLEEEAASEE REEEEEEE
Answer:
6
Step-by-step explanation:
PLEASE HELP ME ASAP I WILL GIVE 100 points and name you know
PLEASSSSSSSSSSSSSSSSSSEEEEEEEEEEEEEEEEEEEE
How are human activities affecting global warming?
Answer:
Human activities such as driving cars, and working at factories contribute to global warming significantly because burning fossil fuels in cars releases carbon dioxide, which is the largest source of greenhouse gas emissions in the U.S. and as these gases build up, they trap heat in the atmosphere, causing climate change.
Solve: -(1/8)d -4 = -(3/8)
Answer:
d = -29
Step-by-step explanation:
-(1/8)d -4 = -(3/8)
Multiply everything by 8 to get rid of the fractions
8*-(1/8)d -4*8 = -(3/8)*8
-d -32 = -3
Add 32 to each side
-d+32 -32 = -3+32
-d = 29
Multiply everything by -1
d = -29
What is the square root of 3/4•3
Answer:
1.5 is your answer
Step-by-step explanation:
Answer:
5.0625
Step-by-step explanation:
Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts of your response with commas. recall that yenvelope (the second term) varies slowly whereas ycarrier (the third term) varies quickly. both yenvelope and ycarrier should be trigonometric functions of unit amplitude.
Answer:
[tex]C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )[/tex]
Step-by-step explanation:
Given
[tex]Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)[/tex]
using a trigonometrical identity
sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)
and here the condition is
the choice is in between sinax and cosax
where a > b
so we get using above equation
[tex]C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )[/tex]
What is the half life for the zombie population
Answer:
.
Step-by-step explanation:
Tyler is buying a chrome book which cost $89 the tax in his county is 3.75% how much will he pay for the chrome book including tax
Answer:
$122.375
Step-by-step explanation:
To find the total amount and tax, we need to multiply the original price by 1.375 in our case to get tax and the original price:
89×1.375=
$122.375
Can someone help me with this one plz?
-5(X+2)=-20
How do I solve for x
Answer:
x = 2
Step-by-step explanation:
-5(x + 2) = -20
-5x - 10 = -20
-5x = -20 + 10
-5x = -10
x = -10/-5
x = 2
Answer:
Step-by-step explanation:
-5(x+2)=-20
-5x -10=-20
-5x=-10
x=2
the trapezium is down on a centimetre grid find the area of the trapezium
Answer:
21 square cm
Step-by-step explanation:
[tex] b_1 = 9 \:cm, \: b_2 = 5 \:cm, \: h = 3\: cm\\
Area\: of\: trapezium\\
= \frac{1}{2} (b_1 +b_2)\times h\\\\
= \frac{1}{2} (9 +5)\times 3\\\\
= \frac{1}{2} \times 14 \times 3\\\\
= 7 \times 3\\\\
= 21 \: cm^2 [/tex]
mia bought 10 boxes of brownies at the store for a total of $64. The tax on the purchase was $5. What was the cost of each box?
Which equation represents this scenario?
a. 10r + 5 + 64
b. 5(10r) = 64
c. 10r - 64 = 5
d. 5 - 10r = 64
Let r represent cost of each box.
We have been given that Mia bought 10 boxes of brownies. So cost of 10 boxes would be [tex]10r[/tex].
We have been given that Mia bought 10 boxes of brownies at the store for a total of $64. The tax on the purchase was $5. So the total cost of 10 boxes would be cost of 10 boxes plus tax.
We can represent this information in an equation as:
[tex]10r=64+5[/tex]
We can subtract 64 from both sides as:
[tex]10r-64=64-64+5[/tex]
[tex]10r-64=5[/tex]
Therefore, our required equation is [tex]10r-64=5[/tex] and option 'c' is the correct choice.
Please help please help me now
Answer:
<B=39.80
Step-by-step explanation:
tan(b)=5/6
b=[tex]tan^{-1}[/tex](5/6)
b=39.80557109
b=39.80 to the nearest hundredth.
Answer:
[tex] \angle B= 39.81\degree[/tex]
Step-by-step explanation:
[tex] \because \tan \angle B = \frac {AC}{BC} \\\\
\therefore \tan \angle B = \frac {5}{6} \\\\
\therefore \tan \angle B = 0.833333333\\
\therefore\angle B= \tan^{-1}(0.833333333)\\
\therefore\angle B= 39.805569965\degree \\
\huge \purple {\boxed {\therefore\angle B= 39.81\degree}} [/tex]
if you are given the coordinates of a, b, c, and d, how could you prove that abcd is a rectangle? select all that apply
Answer:
A, C and D.Step-by-step explanation:
Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°. So, those are all the characteristics we need to demonstrate.
Additionally, the diagonals of a rectangle bisect each other.
Having said that, the choices A, C and D can help to demontrate that the figure is a rectangle.
You prove that abcd is a rectangle by the options A, Cand D.
We have given that figure ABCD
we have to determine that ABCD is a rectangle.
Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°.
So, those are all the characteristics we need to demonstrate.
What is the rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Additionally, the diagonals of a rectangle bisect each other.
Having said that, choices A, C, and D can help to demonstrate that the figure is a rectangle.
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I need help ASAP please!!
△GHI ≅ △KLM what is the m∠KLM
Answer:
64°
Step-by-step explanation:
Both triangles represent a right angle by the small box in the angle.
Right angles = 90°
Since the triangles are congruent, then they would have the same measurements in their angles an sides. All triangles also have a sum of 180°. So, we can just subtract (26 + 90) from 180 to get the third angle.
180 - (26 + 90)
180 - 116
64
So, the m∠KLM is 64°.
What is the sum of the first 5 terms of this geometric series? Use . -4 + 12 + (-36) + ⋯
Answer:
-244
Step-by-step explanation:
You are multiplying by -3.
-4+12+(-36)+108+(-324)= -244
2. Xander was given 10 cups of birdfeed to pour into four birdfeeders. He poured 2 cups of feed into
one feeder, 4 cups of feed into the second feeder, 2 cups of feed into the third feeder, and 1 cup into
the fourth feeder. He did not put birdfeed anywhere else. Which expression best represents the
amount of birdfeed leftover after Xander poured birdfeed into the four birdfeeders?
a. 10 +2 +4 +2+1
b. 2 + 4 + 2 +1-10
C. 4 - 10 +2 +2 +1
d. 10-2-4-2 - 1
Answer:
D.
Step-by-step explanation:
10 - 2 - 4 - 2 - 1 since he went to dump all those so you have to subtract them from the original amount.
At a sale, dresses were sold for $140 each. If the dresses originally cost $200 each,
what percentage of its original price was a dress sold for?
Answer:
30%
Step-by-step explanation:
140 is 70% of 200 which means that the dresses were on sale by 30%
140/200 =
140 ÷ 200 =
0.7 =
0.7 × 100/100 =
0.7 × 100% =
(0.7 × 100)% =
70%;
Then subtract from 100% to get 30%
A set of cloth napkins costs $6.67. How much would it cost to buy 10 sets of cloth napkins?
Answer:
$66.70 for 10 sets
Step-by-step explanation:
Multiply the cost of 1 set by the number of sets wanted
$6.67 * 10
66.70 for 10 sets
Answer:
$66.70
Step-by-step explanation:
In order to figure out the cost of 10 sets of napkins, you have to multiply the cost of one set by 10.
find the area of the shape below
Answer:
105 squared cm
Step-by-step explanation:
Area of the shape = area of rectangle with dimensions 6 cm by 9 cm + area of trapezoid with bases 6 cm, 11 cm and height 6 cm.
[tex] = 9 \times 6 + \frac{1}{2} (6 + 11) \times 6 \\ \\ = 54 + 17 \times 3 \\ = 54 + 51 \\ = 105 \: {cm}^{2} \\ [/tex]
A circle is centered at T(-6,3)T(−6,3)T, left parenthesis, minus, 6, comma, 3, right parenthesis and has a radius of 111111.
Where does the point N(3,-3)N(3,−3)N, left parenthesis, 3, comma, minus, 3, right parenthesis lie?
Answer:
The point N lies inside the circle
Step-by-step explanation:
A circle is centered at the point T(-6,3) and has a radius of r=1.
To determine if the point N(3,-3) is inside or outside the circle, the distance between N and the point T must be lower than 11.
To calculate the distance between points T and N you use:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where x1 and y1 are the coordinates of T, and x2 and y2 the coordinates of N.
[tex]d=\sqrt{(3-(-6))^2+(-3-3)^2}=\sqrt{9^2+6^2}=10.81[/tex]
d < 11
The distance d is lower than the radius of the circle. Hence, the point N lies inside the circle
Here's a screenshot from Khan academy for your question!
Active
Instruction
Finding the Square Root of a Perfect Square
Which statements about square roots are true? Check all that apply.
The square root of a positive number cannot be negative.
All positive numbers have two square roots.
0 18 = 9 because 9(2) = 18.
49 = 7 because 7(7) = 49.
25 = 5 because 52= 25.
Answer:
Step-by-step explanation:
The square root of a positive number cannot be negative. False. There are two square roots, one positive and one negative.
All positive numbers have two square roots. True. See above.
0 18 = 9 because 9(2) = 18. Unable to answer; "0 81" is invalid. Note that
√81 = ±9
49 = 7 because 7(7) = 49. Invalid statement. 49 never equals 7. Perhaps you meant √49 = ±7
25 = 5 because 52= 25. Invalid statement. Perhaps you meant √25 = ±5.
Please, before you do any more square root problems, learn how to type the " √ " symbol or equivalent, such as "sqrt( "
Factor completely. 10x^3 + 2x^2 + 5x + 1
Answer:
(5x + 1)x(2x^2+1)
Step-by-step explanation:
What are the solutions to the equation x2 + 6 x = 40
Answer:
x=4 or x=-10
Step-by-step explanation:
x² + 6x = 40
x² + 6x - 40 = 40 - 40
x² + 6x - 40 = 0
Use quadratic formula:[tex]\frac{b-+\sqrt{b^{2} -4ac} }{2a}[/tex]
a=1 , b=6 , c= -40
[tex]\frac{-(6)-+\sqrt{6^{2} -4.1.(-40)} }{2.1}[/tex]
[tex]\frac{-(6)-+\sqrt{196} }{2.1}[/tex]
x=4 or x=-10
Hope this helps ^-^
The mean temperature for the first 4 days in January was -7°C.
The mean temperature for the first 5 days in January was -6°C.
What was the temperature on the 5th day?
Answer:
the answer is -11
Step-by-step explanation:
yeah the answer is - 11
Mae Ling earns a weekly salary of $335 plus a 5.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,200 worth of merchandise?
Answer:
Mae Ling earns a weekly salary of $335.
She also earns 5.0% commission on sales. If she sold 4200 worth of merchandise, she would get 4200 x 5/100 = 210$
Totally, she earns 335 + 210 = 545$
Hope this helps!
:)
Answer:
$545
Step-by-step explanation:
Commission is basically the percentage of the profit made that the salesperson gets to keep. The weekly salary is a fixed amount, so that won't change.
Here, Mae Ling sells $4200 worth of merch, which is the profit made, so the commission will be 5% of that:
5% * 4200
Remember that % is just "out of 100", so 5% = 5/100:
(5/100) * 4200 = $210
Add this to the salary:
335 + 210 = $545
She would make $545.
What is the solution to the system of equations?
Answer:
(3,2)
Step-by-step explanation:
Here's your given:
y = 4x - 10
y = 2
Because they both equal y, that means they equal each other:
2 = 4x - 10
Add 10 on both sides:
12 = 4x
Then, divide 4 on both sides:
3 = x
This represents the x coordinate.
Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:
y = 2
This represents the y coordinate.
Put the two values together to get: (3,2)