Answer:
12.50
Step-by-step explanation:
The expected amount is $12.50.
What is the probability?The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
There are 8 possibilities, if coin is flipped three times.
HHH, HHT, HTH, TTH, HTT, THT and TTH,
where H is possibility of head and T is tail.
Now the probabilities,
0 tails: 1 way out of 8 total: P(0) = 1/8
1 tails: 3 ways out of 8 total: P(1) = 3/8
2 tails: 3 ways out of 8 total: P(2) = 3/8
3 tails: 1 way out of 8 total: P(3) = 1/8
The expected amount;
(1/8)X 0 + (3/8)X 5 +(3/8)X15 +(1/8)X40
= 15/8 + 45/8 + 40/8
= 100/8
= 12.50
Therefore, the expected amount is $12.50.
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In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline are diameters of circle PPP. What is the arc measure of \stackrel{\LARGE{\frown}}{CD} CD ⌢ C, D, start superscript, \frown, end superscript in degrees? ^\circ ∘ degrees
Answer:
The measure of the arc CD = 64°
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°
Which of the descriptions below best describes the location of the point (8, 0)?
Answer:
up 8 on the y axis
Step-by-step explanation:
5x−9y≥8
7x−4y<10
Is (2,2) a solution of the system?
Answer:
(2,2) is not a solution of the system.
Step-by-step explanation:
Given : Equations [tex]5x-9y\geq 8[/tex] and [tex]7x-4y<10[/tex].
To find : Is (2,2) a solution of the system?
Solution :
To know that the given point is the solution or not we have to put the values in equation if inequality is true then the point is the solution.
Substitute (2,2) in [tex]5x-9y\geq 8[/tex] ,
[tex]5(2)-9(2)\geq 8[/tex]
[tex]10-18\geq 8[/tex]
[tex]-8\geq 8[/tex]
It is not true.
Substitute (2,2) in [tex]7x-4y<10[/tex] ,
[tex]7(2)-4(2)<10[/tex]
[tex]14-8<10[/tex]
[tex]6<10[/tex]
It is true.
So, (2,2) is not a solution of the system.
The supplement of an angle is six times as large as the complement of the angle. What is the measure of the angle to the nearest whole degree?
Solution:
Complementary angles add up to 90° and supplementary angles add up to 180°
Let "a" be the required angle
Supplement of an angle = 180 - a
Complement of angle = 90 - a
The supplement of an angle is six times as large as the complement of the angle.
Therefore,
180 - a = 6(90 - a)
Simplify the above
180 - a = 540 - 6a
6a - a = 540 - 180
Combine the like terms
5a = 360
Divide both sides by 5
a = 72
Thus the measure of the angle to the nearest whole degree is 72 degrees
On Monday, Zach sends an e-mail message
to 4 friends. On Tuesday, each of these
friends forwards the message to 4 people. On
Wednesday, each of these people forwards
the message to 4 other people.
1. How many people were sent the
message on Wednesday? Explain
how you know.
On Wednesday, 64 people were sent the message as each of the 16 recipients forwarded the message to 4 other people.
Explanation:To determine the number of people sent the message on Wednesday, we need to consider the number of people who received the message on each day. On Monday, Zach sent the message to 4 friends, so there were 4 recipients. On Tuesday, each of the 4 friends forwarded the message to 4 other people, resulting in a total of 4 friends x 4 recipients = 16 recipients. On Wednesday, each of these 16 recipients forwarded the message to 4 other people, resulting in a total of 16 recipients x 4 recipients = 64 people sent the message on Wednesday.
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A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
(The cone has a radius of 8 inches and a height of 12 inches.)
Answer:
1875.6 in³
Step-by-step explanation:
(⅓×3.14×8²×12) + (⅔×3.14×8³)
1875.626667 in³
Factor each expression by factoring put the GCF.
(3n + 1)(4n + 1) + (n + 2)(4n + 1)
Solve the equation
3x +5 = 20
Pls
Answer:
x = 5Step-by-step explanation:
[tex]3x+5=20\qquad\text{subtract 5 from both sides}\\\\3x+5-5=20-5\\\\3x=15\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{15}{3}\\\\x=5[/tex]
Answer:
x = 5.
Step-by-step explanation:
3x +5 = 20
Subtract 5 from both sides:
3x + 5 - 5 = 20 - 5
3x = 15
Divide both sides by 3:
x = 15/3
x = 5.
Can you help me please?
Answer:
B.
Step-by-step explanation:
The least amount of water in a pool is zero gallons.
It takes 16 minutes to reach zero gallons (the pool is empty).
The domain is from 0 to 16.
Answer: B.
41 divided by 836 I don’t understand this every time i ask google it uses decimal points but I just need the answer to the question without using decimals
Answer:
[tex]\frac{41}{836}[/tex] Is just that.
Any other question?
brainliest please ;)
Answer:
41/836
Step-by-step explanation:
try using mathaway.com or tiger algebra solver
Find an equation of the line that passes through the points (-5, -3) and (3, 1)
[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\quad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-5)}}}\implies \cfrac{1+3}{3+5}\implies \cfrac{4}{8}\implies \cfrac{1}{2}[/tex]
[tex]\bf \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{1}{2}}[x-\stackrel{x_1}{(-5)}]\implies y+3=\cfrac{1}{2}(x+5) \\\\\\ y+3=\cfrac{1}{2}x+\cfrac{5}{2}\implies y=\cfrac{1}{2}x+\cfrac{5}{2}-3\implies y = \cfrac{1}{2}x-\cfrac{1}{2}[/tex]
Answer:
x - 2y - 7 = 0
Step-by-step explanation:
To find the equation of a line that passes through (-5, -3) and (3,1)
All we need to do is to use the find the slope and then plug it into the straight line equation
straight line equation : y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])
[tex]x_{1}[/tex] = -5 [tex]y_{1}[/tex] = -3 [tex]x_{2}[/tex] = 3 [tex]y_{2}[/tex] = 1
m = slope = [tex]y_{2}[/tex] - [tex]y_{1}[/tex] / [tex]x_{2}[/tex] - [tex]x_{1}[/tex]
= 1 -(-3) / 3 -(-5)
=4/8
=1/2
m=1/2
So, we can now plug in our value into the equation;
y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])
y - (-5) = [tex]\frac{1}{2}[/tex] [x - (-3)]
y + 5 = [tex]\frac{1}{2}[/tex](x+3)
y + 5 = [tex]\frac{x + 3}{2}[/tex]
cross-multiply
2(y + 5) = x + 3
2y + 10 = x + 3
take 2y and 10 to the right-hand side of the equation;
x + 3 - 2y - 10 = 0
x - 2y - 7 = 0
Therefore the equation of the line is x - 2y - 7 = 0
An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?
Answer:
462.25
Step-by-step explanation:
You divide 1849 by 4 to get 462.25
Answer:
462.25 parts are make per hour
Step-by-step explanation:
Step 1: Convert words into an expression
An automobile factory, 1849 parts are made in 4 hours. What is the average rate at which parts are made per hour?
1849/4 = x
Step 2: Solve
1849/4 = x
462.25 = x
Answer: 462.25 parts are make per hour
Dividing Polynomials with Tables Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. What is the value of A?
Answer:
5
Step-by-step explanation:
We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.
[tex]-3x+(A)x=2x[/tex]
We can simplify the equation if we add 3x to both sides, which then leaves us with this.
[tex](A)x=5x[/tex]
We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.
[tex]A=5[/tex]
Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.
[tex](x+1)(2x^{2}-3x+5)[/tex]
If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.
[tex]2x^{3}-x^{2}+2x+5[/tex]
Which of the following expressions represents the distance between 4.354.354, point, 35 and -2\dfrac{1}{5}−2
5
1
minus, 2, start fraction, 1, divided by, 5, end fraction on a number line?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\left\lvert -2\dfrac15 -4.35\right\rvert
∣
∣
∣
∣
∣
−2
5
1
−4.35
∣
∣
∣
∣
∣
open vertical bar, minus, 2, start fraction, 1, divided by, 5, end fraction, minus, 4, point, 35, close vertical bar
(Choice B)
B
\left\lvert 4.35+ \left(-2\dfrac15\right)\right\rvert
∣
∣
∣
∣
∣
4.35+(−2
5
1
)
∣
∣
∣
∣
∣
open vertical bar, 4, point, 35, plus, left parenthesis, minus, 2, start fraction, 1, divided by, 5, end fraction, right parenthesis, close vertical bar
(Choice C)
C
None of the above
The expression that represents the distance is [tex]|-2\dfrac{1}{5}-4.35|[/tex]
How to determine the expression?The points are given as:
4.35 and [tex]-2\dfrac{1}{5}[/tex]
The distance between points a and b is calculated using the following absolute value expression
Distance = |b - a|
This means that:
[tex]Distance = |-2\dfrac{1}{5}-4.35|[/tex]
Hence, the expression that represents the distance is [tex]|-2\dfrac{1}{5}-4.35|[/tex]
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Complete questionWhich of the following expressions represents the distance between 4.35 and -2 1/5 on a number line?
A: | -2 1/5-4.35|
B: | 4.35+(-2 1/5)|
C: None of the above.
What is the perimeter of rhombus ABCD?
10 units
20 units
units
units
Answer:
20
Step-by-step explanation:
What is 8/9 divided by 2/3?
Answer:
1 1/3
Step-by-step explanation:
I had to take the test as well Good luck!
The division is 1 1/3.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
8/9 divided by 2/3
Now, we have to perform the division
= 8/9 ÷ 2/3
= 8/9 * 3/2
= 24 / 18
= 12/9
=4/3
=1 1/3
Hence, the value of the division is 1 1/3.
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What are the end behaviors of f(x) = -2(x - 2)5?
O
A. Both ends go down.
O
B. The left end goes down; the right end goes up.
O'C. Both ends go up.
O
D. The left end goes up; the right end goes down.
Answer:
Step-by-step explanation:
D.The left end goes up and the right end goes down because this is a first order function
The end behavior of the function f(x) = -2(x - 2)^5 is that the left end goes up and the right end goes down. This is determined by the odd degree and negative leading coefficient of the function.
Explanation:The end behaviors of a function can be determined by looking at the highest degree term, also known as the leading term. In this case, for the function f(x) = -2(x - 2)^5, the highest degree is odd (5), and the coefficient, -2, is negative.
Odd degree with a negative leading coefficient means that the end behaviors of this function will be: as x approaches negative infinity (moves left), the function values will go toward positive infinity (up), and as x approaches positive infinity (moves right), the function values will go toward negative infinity (down).
So the correct option here is: D. The left end goes up; the right end goes down.
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What 2 measures of spread used when comparing data displays?
Answer:
Range and interquartile range
Step-by-step explanation:
Range is the difference between the highest and lowest values.
Interquartile range is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.
Solve for s.
8 – 4s = 8 +13
Answer:
[tex]-\frac{13}{4}[/tex]
Step-by-step explanation:
8 - 4s = 8 + 13
8 - 4s = 21
4s = 8 - 21
4s = - 13
s = -13/4
Solve for K, the constant of variation, in a joint variation problem where y=520, x=5, z=6.5. Solution is?
Answer:
K = 676
Step-by-step explanation:
When y is directly proportional to x and inversely poportional to z
We have
y = kx/z
When y =520
x = 5
z = 6.5
K =?
We have
520 = k x 5/6.5
Cross multiply
520 x 6.5 = 5k
3380 = 5k
Divide both sides by 5
3380/5 = 5k/5
676 = k
k = 676
The shortest leg of a right triangle is 27 units. The other leg is 36 units. What is the length of the hypotenuse?
Answer:
Length of Hypotenuse: 45
Step-by-step explanation:
To solve this we need to use the pythagorean theorem.
a^2 + b^2 = c^2
In this case: a = 27
b = 36
27^2 + 36^2 = c^2
729 + 1296 = 2025
then we need to find the square root of 2025
45^2 = 2025
why is Building equity in a home is a good thing
Answer:
Home equity can be a long-term strategy for building wealth.
Find the volume of a rectangular prism that has base 6 inches long and 9 inches wide. The height
of the prism is 4 inches.
Answer:
The answer is 216 I got It wrong at first but the other answer has it right so I changed mine so no one gets confused.
Step-by-step explanation:
Answer:
216 inches is the volume
Step-by-step explanation:
multiply length times width times height
find the area of the hexagen whose Vertices taken in order
are (5.0), (4,2), (1,3), (-2,2), (-3,-1) and (o,-47)
Answer:
Step-by-step explanation:
A(5,0),B(4,2), C(1,3),D(-2,2),E(-3,-1),F(0-4)
we divide the hexagon in triangles and trapeziums
area Δ BCD (with coordinates B(4,2),C(1,3),D(-2,2)) =1/2(2+4)×2=6
area Δ DEG (with coordinates D(-2,2),E(-3,-1),G(-2.-2))=1/2(2+2)×2=4
area ΔAOF(with coordinates A(5,0),O(0,0),F(0,-4))=1/2×5×4=10
area trapezium ABDH (with coordinates A(5,0),B(4,2),D(-2,2),H(-2,0))=1/2[(2+5)+(2+4)]×2=13
area trapezium OHGF (with coordinates O(0,0),H(-2,0),G(-2,-2),F(0,-4))=1/2[4+2]×2=6
Total area=6+4+10+13+6=39 sq units.
PLEEEEEEEEEEEEEEEEEEASE HEEEEEEEEEEEEEEELP!
Let a, b, and c be the length of 3 corresponding sides of the triangle. The following inequality must always be true since they form a triangle :
[tex]a+b>c[/tex]
(This inequality says that the sum of two sides must always be greater than the other side)
Let's use this inequality for x, 1.3, and 4.1
[tex]x+1.3>4.1[/tex]
(The reason why 1.3 is on the left side is because it is the smaller side)
Subtract both sides by 1.3
[tex]x>2.8[/tex]
x must always be greater than 2.8. Now, let's see what value x must be always less than.
[tex]1.3+4.1>x[/tex]
[tex]5.4>x[/tex]
x must be always less than 5.4. Let's combine both statements for x and we get:
[tex]2.8<x<5.4[/tex]
These are the only values of x that will make it possible for these sides to form a proper triangle.
Let me know if you need any clarifications, thanks!
~ Padoru
anyone got the answer Simplify 2x + x.
The Simplification of the expression of 2x + x can be written as 3x
What is Simplification of expression ?A mathematical expression is simplified when it is expressed in the simplest way possible. The expression is usually reduced to its simplest form by using fundamental features of numbers, exponents, algebraic principles, etc. to eliminate any repetitions or redundancies.
Given that 2x + x
Then we can factorize as
x(2+1)
=(x*3)
=3x
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Write an expression meaning 4 less than 5 times a number
Answer:
Expression: 5 x n - 4
Answer:
5n - 4
Step-by-step explanation:
Let the number be n. Then we get the expression 5n - 4.
Which graph shows the solution set for Negative five-halves x minus 3 less-than-or-equal-to 2?
A number line going from negative 8 to positive 2. An open circle is at negative 2. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 2. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the right of the circle is shaded. Then the correct option is D.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
–(5/2)x – 3 ≤ 2
(5/2)x ≥ –5
x ≥ –2
The value of x is greater than 2 and closed circle at (–2, 0).
Then the correct option is D.
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Which equation is equivalent y= 3x^2-15x+18
Answer:
Two solutions were found :
x = 6
x = -1
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(3x2 - 15x) - 18 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
3x2 - 15x - 18 = 3 • (x2 - 5x - 6)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 5x - 6
The first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 1 • -6 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + 1 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1
x2 - 6x + 1x - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
1 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-6)
Which is the desired factorization
Equation at the end of step 3 :
3 • (x + 1) • (x - 6) = 0
In Conclusion, the answer would be 0.
A bag contains two red marbles and three blue marbles. You randomly pick a marble.