Answer:
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number)
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) = P(head) × P(even number)
P(even number)Assuming a fair coin and a fair die:
P(even number)Assuming a fair coin and a fair die:P(head)
P(even number)Assuming a fair coin and a fair die:P(head) =50%
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number)
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50%
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number)
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) =50%×50%=25%
Simplify the expression.
Answer:
D
Step-by-step explanation:
Find the value of x.
Answer:
x=21°
Step-by-step explanation:
40°+5x+14°+x=180°
5x+x=180°-40°-14°
6x=126°
x=21°
Answer:
x = 21
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x + 40 + 5x+14 = 180
Combine like terms
6x+54 =180
Subtract 54 from each side
6x+54-54 = 180-54
6x =126
Divide each side by 6
6x/6 =126/6
x = 21
Select the graphs that show a proportional relationship between x and y
What is the length of the line?
Choose 1 answer: A. 7 B. The square root of 10 C. Square root of 29 D.Square root of 21
Answer:
C
Step-by-step explanation:
= The square root of (5^2+2^2)= The square root of 29 ---> C
Simplify 10√3x +4√3x +5√3x
Add the like terms :
10√3x + 4√3x + 5√3x(10 + 4 + 5)√3x19√3x-(x − 2)(3x2 + 4x − 5)
The simplification of the algebraic expression to its simplest form is -3x³ + 2x² + 13x - 10
What is the simplest form of an algebraic expression?The simplest form of an algebraic expression is a stage at which the expression can no longer be further simplified.
From the given expression:
= -(x − 2)(3x² + 4x − 5)
= (-x +2)(3x² + 4x − 5)
Open brackets
= -3x³ - 4x² + 5x +6x² + 8x - 10
= -3x³ + 2x² + 13x - 10
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find the inverse of the given function f(x) = (-2x+1)^2 where x _< 1/2
Answer:
((√x) - 1 )/-2 = y (3rd answer)
Step-by-step explanation:
Swap the x and y in the original equation:
x = (-2y+1)^2
√x = -2y + 1
((√x) - 1 )/-2 = y
I believe the final answer is the third answer.
Bryan is making a wooden cube to hold his little sister's jewelry. The volumes the cube is
3
512 in ³. What is the length of one side of the jewelry box?
Answer:
8 in
Step-by-step explanation:
Volume of Cube = 512 in³
Formula : -
Volume of cube = side x side x side = side³
512 = 8 x 8 x 8 = 8³
So,
The length of one side of the jewelry box is 8 in.
5) A restaurant menu has 6 starters, 10 mains and 6 desserts.
A customer can choose from the following meals
a starter and a main,
a main and a dessert,
a starter, a main and a dessert.
Show that there are 480 different ways of choosing a meal at this restaurant.
Answer: 360
Step-by-step explanation: 6 times 6 times 10 = 360
URGENT, please help I am so lost
Answer:
Using the concept of linear equations, we find that we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze.
Step-by-step explanation:
Let x = amount of 20% antifreeze
Let y = amount of 70% antifreeze
Given that the total amount of antifreeze is 80 gallons
So, x + y = 80
Also given that the purity of the total antifreeze is 60%.
0.65x + 0.90y = 0.70(x + y)
65x + 90y = 70(x + y)
Simplify and solve the system of equations
65x + 90y = 70x + 70y
65x -70x+ 90y-70y = 0
-5x + 20y = 0
Now we have the following system of equations:
x + y = 50
-5x + 20y = 0
Multiply the first equation by 5 to get opposite coefficients for x;
add the equations to eliminate x
5x + 5y - 5x + 20y = 250
25y = 250
y = 10
Since the total mixed gallons is 50,
x = 50 - 10 = 40
So we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze
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how to figure out pythagoras theorem?
Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
What is the Pythagoras Theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In △ABD and △ACB,
∠A = ∠A (common)
∠ADB = ∠ABC (both are right angles)
Thus, △ABD ∼ △ACB (by AA similarity criterion)
Similarly, we can prove △BCD ∼ △ACB.
Thus △ABD ∼ △ACB,
Therefore, AD/AB = AB/AC.
We can say that AD × AC = AB².
Similarly, △BCD ∼ △ACB.
Therefore,
CD/BC = BC/AC.
We can also say that
CD × AC = BC².
Adding these 2 equations, we get
AB² + BC² = (AD × AC) + (CD × AC)
AB² + BC² =AC(AD +DC)
AB² + BC² = AC²
Hence proved
Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
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what is equivalent to the given equation -8(x+13)=2(x-7)+4x
(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).Option C is correct.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
⇒-8(x+13)=2(x-7)+4x
⇒-8x-13×8 = 2x-2×7+4x
⇒-8x-104=2x-14+4x
⇒-8x-104=6x-14
(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).
Hence, option C is correct.
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Solve the equation:
1-2 lnx = -4
~ [?]
X~
Round your answer to the nearest thousandth.
Answer:
x ≈ 12.182
Step-by-step explanation:
1 - 2lnx = - 4 ( subtract 1 from both sides )
- 2lnx = - 5 ( divide both sides by - 2 )
lnx = 2.5
x = [tex]e^{2.5}[/tex] ≈ 12.182 ( to the nearest thousandth )
Answer:
x = 12.182 (nearest thousandth)
Step-by-step explanation:
Given equation:
[tex]1-2 \ln x=-4[/tex]
Subtract 1 from both sides:
[tex]\implies 1-1 -2 \ln x =-4-1[/tex]
[tex]\implies -2 \ln x=-5[/tex]
Divide both sides by -2:
[tex]\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}[/tex]
[tex]\implies \ln x = \dfrac{5}{2}[/tex]
[tex]\textsf{As }\: \ln x=\log_ex \:\:\textsf{}[/tex], the natural logarithm can be canceled by giving both sides a base of e (Euler's number):
[tex]\implies e^{\ln x}= e^{\frac{5}{2}[/tex]
[tex]\implies x= e^{\frac{5}{2}[/tex]
[tex]\implies x=12.182\:\: \sf (nearest\:thousandth)[/tex]
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
92 + ( -5 )
2+2
Answer:
6
Step-by-step explanation:
Answer:
92 + ( -5 ) , 2+2
Step-by-step explanation:
1) 92 + ( -5 )
= 92 - 5
= 87
2) 2 + 2 = 4
Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
O B. Yes; there are no y-values that have more than one x-value.
• C. No; there are y-values that have more than one x-value.
O D. Yes; the graph passes the vertical line test.
Answer:
letter c
Step-by-step explanation:
YOUR LUCKY THAT THIS QUESTION IS IN MY LEARNING & PLEASE NEXT TIME PUT THE GRAPH THAT YOU ARE TALKING ABOUTKEEP ON LEARNINGIf you receive a 20% DISCOUNT off an item costing $20.00, how much money do you save?
The graph shows which system of inequalities
y < -2x + 6
y≤ x + 2
y≤ -2x + 6
y < x+2
Y < 2/3 x-2
≥ 2x + 2
None of the above
Answer:
A. y < -2x + 6
y≤ x + 2
Step-by-step explanation:
I put it in desmos.
Hope this helps!
If not, I am sorry.
A train travels at 100 milers per hour. An equation can be written that compares the time (t) with the distance (d). Define the domain and range
Answer:
The domain is t ≥ 0
The range is D ≥ 0
Step-by-step explanation:
[tex]rate = \frac{distance}{time}[/tex]
D(t) = 100t + d₀
t is the time measured in hours.
d₀ is the initial position of the train.
We can assume the distance they go is not negative so...
The domain is t ≥ 0
The range is D ≥ 0
Henry recorded the number of miles he biked each day for a week. His milles were 25,40,35, 25, 40, 60, and 75.
Enter the data into the statistics calculator
What is the standard deviation of the milles Henry bilked to the nearest tent?
Hi my name is aughhhhhhhhhhh
Answer:
Hello auggggh nice to meet you!
Step-by-step explanation:
X-intercept (3,0) and y-intercept (0, -6).
what it the answer to 1 ÷ 4 1/2=
Answer:
2/9 or 0.22222
Step-by-step explanation:
Which of the following is an example of why irrational numbers are not closed under addition?
√4+√4=2+2=4,
and 4 is not irrational
1/2+1/2=1, and 1 is not irrational
√10+(-√10) = 0, and 0 is not irrational
-3 +3 = 0, and 0 is not irrational
Answer:
√10 + (-√10) = 0, and 0 is not irrational
^ this one
hat is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2
Answer:
Step-by-step explanation:
area of square + 1/2 area of 1 triangle * 4
Given the quadrilateral below is a rhombus, solve for the length of the side of the rhombus.
Answer:
7.21
Step-by-step explanation:
There is a formula to find the area of a side of a rhombus given 2 diagonals.
It is: [tex]\frac{\sqrt{p^{2}+q^{2} } }{2}[/tex]
64 + 144 = 208
[tex]\sqrt{208}[/tex] = 14.42
14.42 / 2 =
7.21
State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.
[tex]5^x = 5^9[/tex]
Answer:
x=9
if
a^b = a^c
then b=c
so in this case x=9
please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22
[tex]\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right[/tex]
Put (1) to (2):
[tex]3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}[/tex]
Substitute the value of x to (1):
[tex]y=2\cdot2\\\boxed{y=4}[/tex]
Solution:
[tex]\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}[/tex]
A half-marathon is 13 miles, how many kilometers is that?
26 km
82.36 km
20.92 km
209.31 km
Answer:
The correct answer would be 20.92
Explain the difference between area and volume.
a. Area is a measurement of the distance around an object, while volume measures the amount of two-dimensional space inside an object.
b. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object represents the distance around it.
c. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object is a measurement of how much 2-dimensional space it has.
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Answer:
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Step-by-step explanation:
The difference between area and volume...
Area is expressed in square units (²), measured in 2D (length × width). Volume is expressed in cubic units (³), measured in 3D (length × width × depth).A. INCORRECT,
Area is not a measure of distance around an object that is perimeter. Volume = length × width × depth making it a 3D space inside an object NOT 2DB. INCORRECT,
Area of an object is not 3D space is inside, rather this is volumeVolume of an object represents the distance around it is not true, this is describing perimeterC. INCORRECT,
Area of an object is the amount of 3D space is is for volume not areaVolume of an object is a measurement of 2D space which not trueD. CORRECT,
Area of an object measures is a 2D space it occupies, length × widthVolume represents the amount of space inside a 3D object, length × width × depthLearn more about Area and Volume here: https://brainly.com/question/14306303
find the odds against rolling a number larger than 1 on a die
Answer:
.833 (83.3%)
Step-by-step explanation:
There are 6 numbers on a normal die. 5 of them are larger than 1. The odds would be 5/6
