A coin is tossed 3 times. what is the probability of getting:
Answer correctly please
Answers
The probability of all heads, all tails, exactly two tails, exactly one head will be 1/8, 1/8, 3/8, and 3/8 respectively.
The complete question is given below.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Then the total number of the event will be
Total event = 2³
Total event = 8 {HHH, HHT, HTH, THH, HTT, THT, HHT, TTT}
Then the probability of all heads will be
⇒ 1/8
Then the probability of all tails will be
⇒ 1/8
Then the probability of exactly two tails will be
⇒ 3/8
Then the probability of exactly one head will be
⇒ 3/8
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Related Questions
the ratio of Â, B and C in triangle ABC is 2:3:4. calculate the size of each angle
Answers
Answer:
40°, 60°, 80°
Step-by-step explanation:
sum the parts of the ratio , 2 + 3 + 4 = 9 parts
the sum of the 3 angles in a triangle = 180° , then
180° ÷ 9 = 20° ← value of 1 part of the ratio , then
2 parts = 2 × 20° - 40° = ∠ A
3 parts = 3 × 20° = 60° = ∠ B
4 parts = 4 × 20° = 80° = ∠ C
Calculate the area of the following composite figure. (Please i need help with this)
Answers
The area of the composite shape in the diagram given is: 100 square inches.
How to Find the Area of a Composite Figure?Area of a composite figure = sum of the areas of the shapes that make up the figure.
Area of the composite shape = 2(area of triangle) = 2(1/2bh)
Area of the composite shape = 2(1/2×10×10)
Area of the composite shape = 100 square inches.
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Write the equation of the line that passes through the points (-3,3) and (4, -1).
put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line,
Answers
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{4 +3} \implies \cfrac{ -4 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{4}{7}}(x-\stackrel{x_1}{(-3)})\implies y-3=-\cfrac{4}{7}(x+3)[/tex]
I need help
30 POINTS!!!!
Answers
Answer:
A. Upward
B. (-2, -1)
C. X= -3, -1 ||| Y= 3
D. X=-2
Step-by-step explanation:
A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.4 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.
Complete the equation for the relationship between the thickness and number of weeks.
y=_____
Answers
The equation for the relationship between the thickness and number of weeks is y = 3.8 - 0.2x
How to write equation?Ice lost per week = 0.2 metersIce remaining after 7 weeks = 2.4 metersNumber of weeks = xRelationship between the thickness and number of weeks = yIce lost at 7 weeks = 7(0.2) = 1.4 meters
Total thickness of ice before loss = Ice remaining after 7 weeks + Ice lost at 7 weeks
= 2.4 + 1.4
= 3.8 meters
The equation:
y = Total thickness of ice before loss - (Ice lost per week × Number of weeks)
= 3.8 - (0.2 × x)
y = 3.8 - 0.2x
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Which list correctly orders A, B, and C from least to greatest when A=171, B = -6, and C=1-51?
A, B, C
B, C, A
C, B, A
A, C, B
Answers
Which represents the value of c?
C=
(3) sin(40%)
sin (45°)
c=
(3) sin(45°)
sin (40%)
c=
sin(40%)
(3) sin(45°)
c=
sin(45°)
(3) sin(40%)
Answers
Side a is given information: 3cm, and we can find angle A (which is the angle opposite side a) by subtracting the other two angles from 180 because the total interior angle measures of a triangle add to equal 180°.
Angle A = 180 - (95+45) = 40°.
This can be substituted into the equation for the law of sines.
sin(40)°/3 = sin(45)°/c
—Cross multiply
c•sin(40)° = 3•sin(45)°
—divide both sides by sin40 to get the variable c alone and we get:
c = (3)sin(45°)/sin(40°)
this also simplifies to 3.3 cm.
The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10 inches. the height of the prism is 14 inches. find the surface area of the prism.
Answers
The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²
What is the Surface Area of a Triangular Prism?Surface area = perimeter of base × height of prism + 2(base area)
= (s1 + s2 + s3)L + 2(1/2bh)
Given the following:
side of base (s1) = 6 in.side of base (s2) = 8 in.side of base (s3) = 10 in.Length of prism (L) = 14 in.Triangular base length (b) = 6 in.h = 8 in.Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)
Surface area = 384 in.²
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Evaluate 5(x - 1) - 2 when x = 3
Answers
Answer:
8
Step-by-step explanation:
Given algebraic expression:
5(x - 1) - 2
To:
Evaluate this expression using x = 3
Solution:
5(x - 1) - 2Evaluate by plugging x = 3 to this expression:
5(3-1)-2Simplify using PEMDAS.
5(2)-210-28We can conclude:
By evaluating x = 3 to the given expression,the answer will be 8.
Solve for x in the equation x squared 4 x minus 4 = 8.
Answers
Answer:
±2√3
Step-by-step explanation:
Equation :
x² -4 = 8
x² -12 = 0
Using the quadratic formula then simplifying gives you :
±2√3
I know this lacks explanation but please brainliest
Answer:
x=2 or -6
Step-by-step explanation:
×^2+4×-4=8
8 will enter inside and become -8
x^2+4x-4-8=0
x^2+4x-12
(x^2+6x)(-2x-12)
x(x+6)-2(x+6)
(x-2)(x+6)
x=2 or x=-6
A flower pot hangs from a brace. △MNQ and △MNP form the brace what is the value of x?
Answers
The value of x from the given triangle formed by the pot hanging from a brace is; x = 50°
How to find the missing angle in a triangle?
We are given from the diagram that;
∠NMP = 110° and ∠NPM = 30°
Sum of angles in a triangle is 180°.
Thus;
∠MNP = 180 - (110 + 30)
∠MNP = 40°
Thus;
x = 90 - 40
x = 50°
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Yuson must complete 15 hours of community sevice. She does 3 hours each day. Which linear equation represents the hours Yuson still has to work after x days?
A. Y=3x + 15
B. Y= -3x - 15
C. Y= -3x + 15
D. Y= 3x - 15
Answers
Answer:
C) y = -3x + 15
Step-by-step explanation:
Let's start with the hours required, 15. For each day worked we can subtract 3 hours. X days would mean 3x hours. Subtract that from the goal of 15 hours:
15 - 3x
The time remaining, y, is given by the equation 15 - 3x.
Rearrange the equation to match the format in the options,
y = 15 - 3x
y = -3x + 15
Option C
help please and I'll mark you brainiest.
Answers
The probability will include:
P(A and 1) = 1/24P(C and 2) = 1/12.P(B and 3) = 1/12.P(A and 4) = 1/12How to calculate the probability?The probability of P(A and 1) will be:
= 1/4 × 1/6
= 1/24
The probability of P(C and 2) will be:
= 1/4 × 2/6
= 1/12
The probability of P(B and 3) will be:
= 2/4 × 1/6
= 1/12
The probability of P(A and 4) will be:
= 1/4 × 2/6
= 1/12
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Solve for x
−5(-3x-3)+5x+4=-1
Answers
Q: Sam challenges Tom to a race. If Sam can run 6 meters per second and Tom can run at 7 meters per
second. After a minute and a half how far apart will they be?
Answers
Answer:
90 meters
Step-by-step explanation:
so, what we know is that there are 90 seconds in one minute and a half.
Sam can run 6 meters per second. which means after 90 seconds, he should have run 540 meters.
Tom can run 7 meters per second. This means after 90 seconds, he should have run 630 meters.
630-540 = 90
give brainliest please!
hope this helps :)
What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!
Answers
Answer:
y = 1/3x - 2:
y - intercept: - 2x - intercept: 6y = 12 - 6x:
y - intercept: 12x - intercept: 2y = 3x - 7:
y - intercept: -7x - intercept: 7/3Step-by-step explanation:
Hello!
Slope Intercept FormThe slope-intercept form of a line is [tex]y = mx + b[/tex]
y = output, ordinatem = slopex = input, abscissab = y-intercepty = 1/3x - 2The y-intercept is the "b" value of the line, given as -2.
To find the x-intercept, we simply replace the y-value with 0:
0 = 1/3x - 22 = 1/3x6 = xy - intercept: - 2
x - intercept: 6
____________________________________________________
y = 12 - 6x
You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.
Solving for the x-intercept (remember, replace y with 0):
0 = -6x + 12-12 = -6x2 = xy - intercept: 12
x - intercept: 2
____________________________________________________
y = 3x - 7Simply take the "b" value, -7, to find the y-intercept of -7.
Solve for the x-intercept:
0 = 3x - 77 = 3xx = 7/3y - intercept: -7
x - intercept: 7/3
Additional Note:
You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.
The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.
The equation in Question 4 shows a relationship between the length of arc EF in circle AB and the radius of circle AB. So, for a given central angle, what does the length of the arc it intersects depend on?
Answers
For a given central angle, the length of the arc it intersects depends on the radius of the circle and the central angle.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
Length of an Arc = 2π×R×(θ°/360°)
where
θ is the angle, that which arc creates at the center of the circle in degree.
The measurement of the length of an arc formed by a central angle that intersects the circle at two points is given as,
[tex]\rm {Length\ of\ the\ arc} = 2\pi \times \text{Radius of the circle}\times \dfrac{\text{(Measurement of central angle)}}{360^o}[/tex]
Now, the length of the arc EF will be,
Arc EF = 2π × (AB) × (θ/360°)
Where θ is the measurement of the central angle.
Hence, For a given central angle, the length of the arc it intersects depends on the radius of the circle and the central angle.
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Answer: Plato/edmentum sample answer
Step-by-step explanation:
For a given central angle, the length of the arc it intersects depends only on the radius of the associated circle.
A population of beavers decreases exponentially at a rate of 7.5% per year. What is the equivalent monthly rate to the nearest hundredth of a percent
Answers
Answer:
0.65%
Step-by-step explanation:
i took the test
14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of this total. If they divide this expense equally between them, How much does each friend pay?
Answers
The amount each friend does pay is £9.75
How to calculate the pay of each friend using fractions and arithmetic operations?We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.
From the given information:
The 5% of 130 = £6.5Total amount paid = £130 + £6.5 = £136.5Therefore, the cost of each friend is = [tex]\dfrac{136.5}{14}[/tex]
The cost of each friend = £9.75
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PLEASE HELP ASAP
What is the missing statement for the sixth step in the proof below?
Answers
Answer:
C
Step-by-step explanation:
The last reasoning is the side angle side theorem. In the whole proof, there is no mention of an angle. So the answer has to involve prooving that the angle in between the two sides that have been proven similar is the same in both traingles. This is best accomplished by statement C.
True or false? The graph represents a function
Answers
Answer:
true
Step-by-step explanation:
The statement is true because every graph associated a unique x-value for each y - value
Please help and thanks
Choose the correct answer
2x>12x and 7x<14
Answers
Answer:
C - x < -6 and x < 2
Step-by-step explanation:
2x ">" -12 and 7x < 14. with negative numbers, the bigger the number the less it is. -12 < -6 because negative numbers work the opposite way that positive numbers do. I hope this helps you!!!!
the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle
Answers
Answer:
length = 6cm , breadth = 4cm
Step-by-step explanation:
Let's assume length = l
breadth = b
Given perimeter of a rectangle = 20 cm
2(l+b) = 20
l+b = 20/2
l+b = 10
l = 10 - b____(1)
Given area of rectangle = 24 cm²
l×b = 24____(2)
(1) in (2) => l × b = 24
(10-b) × b = 24
10b - b² = 24
10b = 24 + b²
0 = b² - 10b + 24
b² - 10b + 24 = 0
b² + 6b + 4b + 24 = 0
b(b+6) +4(b+6) = 0
(b+4)(b+6) = 0
b+4 = 0. &. b+6 = 0
b = -4. b = -6
breadth must be less than length and it should be positive
So b = 4 cm
b=4 in (1)
(1)=> l = 10 - b
l = 10 - 4
l = 6
If y=2x-1 is changed to y = x+ 2,
how would the graph of the new
function compare with the first one in terms of steepness and shift?
Answers
The graph of the function y = x+2 is steeper than the graph y = 2x-1.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given functions are:-
y=2x-1y = x+2The graph of the functions is attached with the answer below. In the graph, we can see that the slope of the graph y = x+2 is steeper than the graph of y = 2x - 1.
The two graphs intersect at the point ( 3,5 ) so it is the solution of the two linear equations.
Hence the graph of the function y = x+2 is steeper than the graph y = 2x-1.
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A craftsperson must attach a lead strip around all four sides of a stained glass window that is
6 4/5 in. by
15 14/25 in. before it is installed. find the length of lead stripping needed.
Answers
Answer: 37.9 inch the length of lead stripping .
Step-by-step explanation:
Given ,
Sides of windows are [tex]6\frac{4}{5}[/tex] and [tex]15\frac{14}{25}[/tex]
[tex]= (6\frac{4}{5} + 15 \frac{14}{25} ) * 2\\ \\=\frac{34}{5} + \frac{389}{25} * 2\\\\ \frac{170}{25} + \frac{389}{25}* 2 \\\\= \frac{559}{25} * 2\\\\= \frac{948}{25} \\\\= 37.9 inch[/tex]
So , the answer is 37.9 inch
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The following cone has a height of 12 cm and a slant height of 16 cm. A right angle is formed between the height and radius of the cone
what is the length of the radius
Answers
Step-by-step explanation:
[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]
[tex] \sf Height_{\blue{cone}}=12 \: cm [/tex][tex] \sf Slant \: height_{\blue{cone}}=16\: cm [/tex][tex]\pink{\large{\underline{\underline{\sf To \: find:-}}}}[/tex]
[tex] \sf Radius_{\blue{cone}}=? [/tex][tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]
We know that,
[tex]\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}[/tex]
[tex] \sf (Radius)^2 = (16)^2-(12)^2[/tex]
[tex] \sf (Radius)^2 = 256-144=112[/tex]
[tex] \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm[/tex]
One day Maria spends 6/20 of the day asleep. Calculate in hours and minutes the amount of time she spends asleep.
Answers
Answer:
7 hours and 12 minutes
Step-by-step explanation:
there are 24 hours in a day, so multiply 6/20 by 24 to find the number of hours:
6*24/20 = 36/5 = 7 1/5 hours
we now know maria sleeps for 7 whole hours
next, there are 60 minutes in an hour, so multiply 1/5 by 60 to get 12 minutes
Find the area and volume of a 11 inch cube (pls write do the equation in steps)
Answers
Answer:
1331 inches cubed
Step-by-step explanation:
V=LHW
since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.
Hope this helped!
This table shows input and output values for a linear function f(x)
What is the difference of outputs for any two inputs that are three values apart.
Express your answer as a decimal.
Answers
The answer is 0.75 because I took the test and that's what the answer was :)
Please help! Giving brainlist!
Answers
The slope is 5/2
The slope formula is:
m = y2 - y1 / x2 - x1
Our points are:
(-1, 4) and (1, 9)
Just insert them into the formula and simplify to get your answer:
m = 9 - 4 / 1 + 1
m = 5/2