Answer:
the Probability of Fair coin = 0.2664=26.64 % and
Probability of Bent coin = 0.7336= 73.36 %
Step by step Explanation:
The fair coin has a 60% probability of coming up heads, same thing with the bent coin , when the coin was thrown up ten times,it comes up heads 8 times,
Here we were told to find the probability fair coin vs. probability bent coin
A)THE FAIR COIN::
The probability of getting Head Coin = 1/2
Probability of getting tail Coin = 1/2
Then the Probability of head 8 times out of 10 can be calculated using combination
= ¹⁰C₈ × (1/2)⁸ ×(1/2)²
= 45/1024
= 0.0439
Therefore, the Probability of head 8 times out of 10= 0.0439
B)BENT COIN
the probability of getting Head Coin = 0.6
= 6/10
= 3/5
NOTE: 60%=0.6
The probability of getting tail Coin = 1 - 3/5
= 2/5
Then, the probability of getting head 8 times out of 10 can be calculated using combination;
= ¹⁰C₈ × (3/5)⁸ × (2/5)²
= 45 × 6561 ×( 4 / 5¹⁰)
= 0.1209
Therefore, the probability of getting head 8 times out of 10 = 0.1209
We can now calculate the Probability of Fair coin
(Probability of head 8 times out of 10 in fair coin )/(Probability of head 8 times out of 10 in fair coin )+(the probability of getting head 8 times out of 10 in bent coin)
= (0.0439 )/(0.0439 + 0.1209)
= 0.2664
Probability of bent coin can as well be calculated as 0.1209 /(0.0439 + 0.1209)
= 0.7336
Therefore, the Probability of Fair coin = 0.2664=26.64 % and
Probability of Bent coin = 0.7336= 73.36 %
please heellllpppp ....
Answer:
x ≈ 2.3 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )
4 × cos55° = x , thus
x ≈ 2.3 cm ( to 1 dec. place )
PLEASE HELP ME The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m. Which of the following choices is the length of the other leg? 5 4 5 None of these choices are correct.
Answer:
The length of the other leg is 8.94 m.
Step-by-step explanation:
Given that,
Hypotenuse of a right triangle is 12 m
The length of the one of the legs of a right triangle is 8 m
We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,
[tex]H^2=b^2+h^2[/tex]
H = hypotenuse = 12 m
b = base = 8 m
[tex]h^2=H^2-b^2\\\\h^2=12^2-8^2\\\\h=\sqrt{80}\\\\h=8.94\ m[/tex]
So, the length of the other leg is 8.94 m.
I REALLY need help with this! Could someone please help me?
Answer:
It's the first option
Step-by-step explanation:
The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle (in this case AB and AC) is parallel to the third side (BC) and half as long.
Suppose a firm in a competitive market earned $1,000 in total revenue and had a marginal revenue of $10 for the last unit produced and sold. What is the average revenue per unit, and how many units were sold?
Answer:
$5 and 50 units
Step-by-step explanation:
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
60
Step-by-step explanation:
There were some pieces of candy in a bowl. Shirley took half of them. Then Rose took half of the pieces left in the bowl. After that, Susan took half of the remaining pieces of candy. In the end there were 8 pieces of candy left in the bowl. How many candies were there in the bowl at the beginning?
Answer:
Number of pieces of candy in the bowl=64
Step-by-step explanation:
Let
x=number of pieces of candy in a bowl
Shirley took=1/2 of x
=1/2x
Remaining
x-1/2x
= 2x-x/2
=1/2x
Rose took half of the pieces left in the bowl=1/2 of 1/2x
=1/2*1/2x
=1/4x
Remaining
1/2x-1/4x
=2x-x/4
=1/4x
Susan took 1/2 of the remaining pieces of candy=1/2 of 1/4x
=1/2*1/4x
=1/8x
Remaining 8
1/8x=8
x=8÷1/8
=8*8/1
=64
x=64
Can someone please help me please?
Answer:
Step-by-step explanation:
Can somebody please help me with this
Step-by-step explanation:
1x²-8x+15= 0
x²-2*1*4*x+ 16-1=0
x²-2*1*4*x+4² = 1
(x-4)² = 1
x-4 =1 or x-4= -1
x= 5 or x=3
so the solutions are 5 and 3
2r²+18r+56=0
r²+2*1*9*r+ 81-25=0
r²+2*1*9*r+9² = 25
(r+9)² = 25
r+9 = 5 or r+9 = -5
r= -4 or r = -14
so the solutions are -4 and -14
3x²+2x-24=0
x²+2*1x +1-25=0
x²+2*1*x+1² = 25
(x+1)² = 25
x+1= 5 or x+1= -5
x = 4 or x= -6
so the solutions are 4 and -6
4p²+12p-54 = 0
p²+2*6*p+36-90=0
p²+2*6*p+6² = 90
(p+6)² = 90
p+6 = √90 or p+6 = -√90
p = √90-6 or p= -√90-6
5m²-6m-55= 0
m²-2*3*m+3²-64=0
(m-3)² = 64
m-3 = 8 or m-3 = -8
m= 11 or m= -5
Find the derivative of f(x) = negative 9 divided by x at x = -4. 4 divided by 9 16 divided by 9 9 divided by 16 9 divided by 4
Answer:
ﾠﾠﾠﾠﾠﾠﾠﾠ
Step-by-step explanation:
ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ
Answer:
9/16
Step-by-step explanation:
One airline ticket costs $412. for each additional airline ticket sold to a group, the price of all the tickets is reduced by $4. Write a quadratic function that gives the initial cost of buying x tickets.
Answer:
f(x)=104x-x^2
Step-by-step explanation:
Let
x = number of tickets sold.
example, 2 tickets cost 2 · 408 = $816
3 tickets cost 3 · 404 = $738.
The cost of buying x tickets= the number of tickets sold × the price of each ticket.
If x tickets are sold, then the price of each ticket is 412-4(x-1)
Then the quadratic function that gives the total cost of buying x tickets is given by
Cost =quantity sold*price
=412-4(x-1)*x
=(412-4x+4)*x
=412x-4x^2+4x
=416x-4x^2
Divide through by 4
=104x-x^2
Therefore, the required quadratic function is
f(x)=104x-x^2
find the 10th term of the following sequences T(2)=20 and the term-to-term rule is subtract 6
==================================================
Work Shown:
T(2) = 20 means the second term is 20
T(1) = 26 because we go backwards from what the rule says (subtract 6) to step back one term. Going forward, 26-6 = 20.
Since a = 26 is the first term and d = -6 is the common difference, the nth term is
T(n) = a + d*(n-1)
T(n) = 26 + (-6)(n-1)
T(n) = 26 - 6n + 6
T(n) = -6n + 32
Plugging n = 1 into the equation above leads to T(1) = 26. Using n = 2 leads to T(2) = 20.
Plug in n = 10 to find the tenth term
T(n) = -6n + 32
T(10) = -6(10) + 32
T(10) = -60+32
T(10) = -28
Answer:
-28.
Step-by-step explanation:
T(1) = 20 + 6 = 26.
This is an arithmetic series with:
nth term T(n) = 26 - 6(n - 1).
So T(10) = 26 - 6(10-1)
= 26 -54
= -28.
ANSWER ASAP
PLEASE AND THANK YOU
Answer:
(C) $111.83
Step-by-step explanation:
If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)
The shoe costs $35, and if we have a 50% discount on it:
[tex]35\cdot0.5=17.5[/tex]
So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.
So the cost of two pairs of shoes using the discount is [tex]35+17.5 = 52.5[/tex]
So four pairs cost [tex]52.5\cdot2 = 105[/tex]
However, there is a tax of 6.5%
So we can multiply 105 by 1.065 to get the cost after tax.
[tex]105\cdot1.065=111.825[/tex]
This simplifies down to 111.83.
Hope this helped!
Although mercury is a metal, it is a liquid at room temperature. Mercury melts at about -39°C. If the temperature of a block of mercury starts at -54°C and increases by 22°C, does the mercury melt?
Answer:
yes
Step-by-step explanation:
because mercy is a semi liquid metal that is mostly used in checking high temperature of a substance .
Which equation is modeled below?
4 x tiles and 2 negative 1 tiles = 2 x tiles and 4 1 tiles.
2 x + (negative 2) = negative 2 x + 6
4 x + (negative 2) = negative 2 x + 6
2 x + 4 = 6 x + 2
Negative 2 x + 4 = 6 x + (negative 2)
(Ignore the filled in bubble)
Answer:
B
Step-by-step explanation:
4 (x) + 2 (-1) = 2 (-x) + 6(1)
4x + -2 = -2x + 6
The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
From the given figure,
x+x+x+x+(-1-1)=(-x-x)+(1+1+1+1+1+1)
⇒ 4x-2=-2x+6
So, equation modeled as 4x-2=-2x+6
The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Please help asap! I don’t really understand
Answer:
x² +3x -8x -24(x² +3x) +(-8x -24)x(x +3) -8(x +3)(x +3)(x -8)Step-by-step explanation:
This is trying to help you understand a method of factoring trinomials.
The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.
The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:
-24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)
The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.
The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:
x² +3x -8x -24
The next step is to group these terms in pairs:
(x² +3x) +(-8x -24)
And then, to factor each pair using the distributive property:
x(x +3) -8(x +3)
Finally, finish the factoring, again using the distributive property:
(x +3)(x -8)
Which of the following is equivalent to the following complex fraction? [1-(1/x)]/2
Answer:
Option 1
Step-by-step explanation:
=> [tex]\frac{1-\frac{1}{x} }{2}[/tex]
=> [tex]\frac{\frac{x-1}{x} }{2}[/tex]
=> [tex]\frac{x-1}{x} / 2[/tex]
=> [tex]\frac{x-1}{x} * \frac{1}{2}[/tex]
=> [tex]\frac{x-1}{2x}[/tex]
Please help I’m being timed!! The computer rendering of a mural in a town’s square uses the function represented in the table to define the outline of a mountain in the town’s logo, where x is the distance in feet from the edge of the mural and f(x) is the distance from the ground in feet. How can the point (12, 16) be explained? A) The highest point of the mountain defined by the function is 12 feet. B) The highest point of the mountain defined by the function is 16 feet. C) The width of the base of the mountain defined by the function is 12 feet. D) The width of the base of the mountain defined by the function is 16 feet.
Answer:
The correct option is;
B) The highest point of the mountain defined by the function is 16
Step-by-step explanation:
From the given information, we have;
The distance in feet from the edge of the mountain is given as the independent variable, x
The distance in feet from the ground (which is the height) is given the as the dependent variable f(x)
Therefore, given that the point (12, 16) are the values of x and f(x) such that x = 12 and f(x) = 16 and 16 is the largest value of f(x) in the data, therefore, 16 represents the highest defined point of the mountain.
Find the angle of rotation about the center of the regular pentagon that maps A to D.
Answer:
216
Step-by-step explanation:
Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.
Answer:
216
Step-by-step explanation:
Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.
paid after the grace period, on average, more than 4 times in 2018, what are the null and alternative hypotheses? Select the correct answer below: H0: μ=4; Ha: μ>4 H0: μ>4; Ha: μ=4 H0: μ=4; Ha: μ<4 H0: μ=4; Ha: μ≠4
Answer:
H₀: μ = 4 vs. H ₐ: μ > 4
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by H ₐ.
In this case we need to test whether the amount is paid after the grace period, on average, more than 4 times in 2018.
The hypothesis can be defined as follows:
H₀: μ = 4 vs. H ₐ: μ > 4
You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of the
rectangle A(-7.-2), B(3.–2), and C(3,-5).
What are the coordinates of point D?
Answer:
D(-7, -5)
Step-by-step explanation:
There are a couple of ways to figure this.
1) When the rectangle is aligned with the axes, as this one is, each coordinate value shows up twice. In the given list, x-values of 3 are repeated, but -7 is not, so the x-coordinate is -7.
The y-values of -2 are repeated, but -5 is not, so the y-coordinate is -5.
The coordinates of point D are (-7, -5).
__
2) The midpoint of diagonal AC is the same as the midpoint of diagonal BD, so the sum of coordinates at the ends of the diagonals will be the same:
A+C = B+D
Subtracting the coordinates of B from the sum of A and C will give you the coordinates of D:
D = A +C -B = (-7, -2) +(3, -5) -(3, -2) = (-7+3-3, -2-5+2)
D = (-7, -5)
_____
Comment on the solution
The second approach works with any parallelogram, rhombus, rectangle, or square--any figure in which the diagonals bisect each other. The figure does not have to be aligned with the axes, as it does in the first approach.
Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. h(x) = 5x – 5 h(x) = 5x + 5
Answer:
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B
If Marguerite rents for 1 week, it will cost her the same at either company
h(x) = 5x - 5
Step-by-step explanation:
Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5
Answer: Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. In one week there are 7 days, therefore in x weeks the cost of rentals are given below:
For company A: f(x) = 15(7x)
For company B: g(x) = 100x + 5
h(x) = f(x) – g(x) represents the difference between the two rate structures.
h(x) = f(x) - g(x) = 15(7x) - (100x + 5)
h(x) = 105x - 100x - 5
h(x) = 5x - 5
If Marguerite rents for 2 weeks:
The cost for company A = 15(7x) = 15(7 × 2) = $210
The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B
If Marguerite rents for 1 weeks:
The cost for company A = 15(7x) = 15(7 × 1) = $105
The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105
If Marguerite rents for 1 week, it will cost her the same at either company
Answer:
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.
h(x) = 5x + 5
those are the answers on edge
Step-by-step explanation:
What is the slope of the line in the graph? A.y−0=2(x+18) B.y+4=2(x−7) C.y+7=2(x−4) D.y=2x−7
Answer:
5/10 or 1/2
Step-by-step explanation:
Slope is change in y over change in x. In this case every time y goes up by 5 x goes up by 10 making the slope 5/10 and if it is simplified 1/2
Suppose that you and a friend are playing cards and decide to make a bet. If you draw two red cards in succession from a standard deck of 52 cards without replacing the first card, you win $50. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Answer:
E=$19.307
Step-by-step explanation:
Total number of cards = 52
If you win then you will get $50
If you lose then you will give him $20
Therefore the probability
[tex]P(first\ card\ is\ face\ card)=\dfrac{12}{52}[/tex]
[tex]P(Second\ card\ is\ face\ card)=\dfrac{11}{51}[/tex]
[tex]P(Third\ card\ is\ face\ card)=\dfrac{10}{50}[/tex]
Thus the probability for all the three cards are face card
[tex]P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}[/tex]
P=0.0099
Thus the probability for all the three cards are not face card
P=1-0.0099=0.9901
P=0.9901
Therefore , expected value
[tex]E=20\times 0.9901-50\times 0.0099[/tex]
E=$19.307
Therefore the answer will be $19.307.
The line’s graphed below are perpendicular. The slope of the red line is -1/3. What is the slope of the green line?
Answer:
C. 3
Step-by-step explanation:
Perpendicular lines have slopes that are negative inverses of the other.
This inverse of -1/3 is -3. The negative of -3 is 3.
The slope of the perpendicular line is 3.
The base of a regular pyramid is a hexagon.
Answer:
The base of the regular pyramid is a square.
Step-by-step explanation:
08.03 MC) The ages of two groups of dance students are shown in the following dot plots: A dot plot shows Age in years on the horizontal axis. For Group X, there are 3 dots on 4, 1 dot on 5, 5 dots on 8, 2 dots on 10, 3 dots on 12, and 2 dots on 16. For Group Y, there are 2 dot on 5, 3 dots on 7, 1 dot on 9, 3 dots on 11, 1 dot on 13, 2 dots on 14, 1 dot on 15, 1 dot on 18, 3 dots on 20, 1 dot on 22, and 2 dots on 24. The mean absolute deviation (MAD) for group X is 3.07 and the MAD for group Y is 5.25. Which of the following observations can be made using these data?
Answer:
FLVS ANSWR!!!!!!
Step-by-step explanation:
Group X has less variablility
Answer:
What the guy above me said.
Step-by-step explanation:
PLEASE help me with this question! REALLY URGENT...
An actor invests some money at 8% simple interest, and $21 comma 000 more than four times the amount at 10% simple interest. The total annual interest earned from the investment is $49 comma 140. How much did he invest at each amount? Use the six-step method.
Answer:
First investment = $98000
Second = $413,000
Step-by-step explanation:
Given the following :
Investment 1:
Let first investment = f
Rate = 8% = 0.08
Investment 2:
$21,000 more than 4 times of investment 1:
4f + 21000
Rate = 10% = 0.1
Total annual interest earned from both :
$49,140
Interest on investment 1 + interest on investment 2 = $49,140
To solve:
Simple Interest = principal * rate * time
Time = 1 year
Total interest = (f * 0.08 * 1) + ((4f + 21000) * 0.1 * 1)
49140 = 0.08f + 0.4f + 2100
0.48f = 47040
f = 47040 / 0.48
f = 98000 = first investment
Second investment :
4f + 21000
= 4(98000) + 21000
= $413,000
I need answer in degrees! Thank you to anyone who answers ;P.
Answer:
x = 84
Step-by-step explanation:
Sum of angles around a point = 360
Sum of given angles = 132+54+90 = 132+144 = 276
So, x must cover the angle remaining from 276 to form 360, which is
360-276 = 84degrees.
Hope this helps
Answer:
84 DEGREES
Step-by-step explanation:
SO WE KNOW THAT THER IS 132 +54 DEGREES AND THAT THE 3RD ONE IS A RIGHT ANGLE
SO
132+90+54=276
360-276=84
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Determine an expression for the perimeter of the following shape. I need a step by step solution pleaseeeee:)
Answer:
The perimeter of the figure is: 8x + 34.
Step-by-step explanation:
The perimeter of a shape is the sum of the length of all its sides. In this case there is one side missing, we need to find its length. To do that we will have to use Pythagora's theorem, because we will create a right triangle as shown in the attached picture. Where a, b and c are the sides of the right triangle. We can determine the lengths of a and c. If we pay close attention to the figure we will realize that a is:
[tex]a = 2x + 5 - 2x = 5[/tex]
While c is:
[tex]c = 2(x + 7) - (x + 5) - (x - 3)\\c = 2x + 14 -x - 5 -x + 3\\c = 2x - 2x + 12\\c = 12[/tex]
We can now apply Pythagora's theorem:
[tex]b^2 = a^2 + c^2\\b^2 = 5^2 + 12^2\\b^2 = 25 + 144\\b = 13[/tex]
With this we can sum all the sides and calculate the perimeter of the shape.
[tex]2x + 5 + x - 3 + 2x + x + 5 + 13 + 2(x + 7)\\2x + x + 2x + x + 2x + 5 - 3 + 5 + 13 + 14\\8x + 34[/tex]