The equation that allows determining the probability that the player wins the prize after n games is [tex]0.35^n[/tex] = Probability. The player should choose n = 10.
The simple definition of probability is the likelihood that an individual event will occur. It can be discussed the probabilities of distant outcomes, or how probable they are, whenever we're skeptical of how an occurrence will turn out. Statistics refers to the study of events subject to probability.
First, solve the following equation to find the likelihood of the player winning the prize after n games given that the probability of winning a specific game is 0.5 and that the player wins a prize if at least 70[tex]\%[/tex] of the games in a series are won.
[tex]Probability = 0.5^n \times 0.70[/tex]
[tex]Probability = 0.35^n[/tex]
It is evident here that the larger the value of n, the lesser the chances to win.
For example, if there were five games played, the equation would be as follows:
[tex]0.35^5 = 0.005[/tex]
So. the value of n chosen by the player should be 10.
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The complete question is as follows:
The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are n = 10, n = 20, and n = 100.
Which value of n should the player choose in order to maximize the probability of winning a prize?
Please find x I really need help.
Answer:
x = 20°
explanation:
Both the pair sides are parallel to each other.The whole sums up to total 360°Steps:
2(7x + x + 20°) = 360°8x + 20° = 180°8x = 160°x = 20°[tex]\qquad\huge\underline{\sf Answer}[/tex]
x = 20 Explanation :- 7x + ( x + 20 ) = 180 8x + 20 = 180now , subtract 20 from both sides which will give you, 160
8x = 180 - 20 8x = 160divide both sides by 8
x = 20Hope it helps ~
9 + 6 to the 2 pwer - 2 times 8
SOLUTION:
=) 9 + 6² - 2 × 8
=) 9 + 36 - 16
=) 45 - 16
=) 29
How many solutions to this
Answer:
one
Step-by-step explanation:
one equation
tanks Please brianlist
Find the vertex of the quadratic function
f(x) = 2x^2 - 6x + 7
A.) (0, 7)
B.) (1, 2)
C.) (-1.5, 2.5)
D.) (1.5, 2.5)
Answer:
(1.5,2.5)
Step-by-step explanation:
f(x) = 2x^2 - 6x + 7
Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)
f'(x) = 4x -6
0 = 4x - 6
4x = 6
x = 3/2 or 1.5
If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7
y = 2(9/4) - 18/2 + 7
y = (9/2) - 2
y = 2.5
See attached graph.
The price of a certain item changes over time. The equation y=−3.42x^2+173.64x−983.48 models the total y dollars of profit a company makes in one day on the item the when the price of the item that day is x dollars.
What is the approximate profit the company makes on the item on a day when the item price is $12?
$492.48
$607.72
$1592.68
$2574.68
Answer:$607.72
Step-by-step explanation: it’s a lot simpler than it looks. Since x represents the price of the item, you’ll have to substitute 12 dollars for x.
Making the equation, -3.42(12)^2+173.64(12)-983.48
5 ² - 11 × 2
Show all steps! Thanks!
Use the order of operations!
Answer:
Ok
Step-by-step explanation:
Question: 5²-11 x 2
Answer: 5x5 -11 x 2
25-22
3
Hope this helps you
have a great day :)
Which step could be used to solve x 3. 6 = negative 1. 7 for x in one step? Select two options. Add 3. 6 to both sides. Add Negative 3. 6 to both sides. Add 1. 7 to both sides. Add Negative 1. 7 to both sides. Subtract 3. 6 from both sides.
The steps which could be used to solve x are add negative 3. 6 to both sides and subtract 3. 6 from both sides.
What is the property of equality?Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.
The expression given in the problem is,
[tex]x +3.6 = -1.7[/tex]
To isolate the terms x, add Negative 3. 6 to both sides as,
[tex]x +3.6+(-3.6) = -1.7+(-3.6)\\x=-1.7-3.6\\x=5.3[/tex]
Thus, by adding negative 3. 6 to both sides, the problem can be solved.
Instead of adding negative 3.6, subtract 3.6 from both sides in the given equation can also be work and give same result as,
[tex]x +3.6-3.6 = -1.7-3.6\\x=5.3[/tex]
Thus, a step which could be used to solve x add negative 3. 6 to both sides and subtract 3. 6 from both sides.
Learn more about the property of equality ehre;
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I need help and i need to solve for x
Can anyone help me with this problem
You are making 20 fleece jackets for a craft fair. For each jacket, you need 1 7/8 yards of fleece. If fleece costs $9 per yard, how much money will you spend?
Answer:
$7.88
Step-by-step explanation:
Number of 5 digit multiples of 13
múltiplying polynomial (x+4)^2
Step-by-step explanation:
that's the answer bbbbbbbb
PLEASE HELP!! I am so confused
Answer: 1.5 ft
Step-by-step explanation:
You can set up a proportion since the triangle are similar:
3 / 12 = x / 6
meaning x=1.5 ft
Does anyone know the answer?
Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary. But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180° so
angle ∠ABC 90° therefore subtract the 90 to 180 to get the final answer
180-90=90
Final Answer is ∠QRS 90
a farm loan officer has a four-drawer cabinet. one drawer is 3/5 full, one drawer is 1/2 full, one drawer is 2/3 full, and one drawer is 3/4 full. can the contents be combined into three drawers? explain.
Answer:
Yes
Step-by-step explanation:
3/5, 1/2, 2/3, and 3/4 must be 3 or lower if added together.
We need to find the LCM of the denominators. The LCM, or lowest common multiple, of the denominators is 60. So we have to multiply the fractions by the LCM and add them up.
36 + 30 + 40 + 45 = 151.
60 x 3 = 180.
151 isn't up to 180, so yes. And also, if you divide 151 by 60, you would get 2.52 approximately.
Point Q" is the image of point Q after a composition of transformations: A reflection over line m, followed by a reflection over line n.
If m and n intersect to form a 44 degree angle, what is the angle of rotation from Q to Q" about the point of intersection?
Answer choices:
A. 22
B. 136
C. 44
D. 88
Answer:
B. 136 °
Step-by-step explanation:
Given: m and n intersect to form a 44° degree angle
⇒ (180 - 44)°
⇒ 136 °
Answer: B. 136 degrees
please help me with this work
Answer:
about 243.9 cm³35828 4/7 cm² = 3 102/175 m²Step-by-step explanation:
1.The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...
V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³
The 8-cm cube has a volume of ...
V = s³
V = (8 cm)³ = 512 cm³
The volume of the empty space is the difference of these volumes:
space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³
space ≈ 243.9 cm³
__
2.The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.
top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²
The lateral area of the cylinder is ...
LA = 2πrh
= 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²
Then the total surface area of the birdbath is ...
total area = top+bottom area + lateral area
total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²
= 3 102/175 m²
if 45% of a number is 54,what is 65% of the number?
Answer:
78
Step-by-step explanation:
Let the number be y
45/100 * y = 54
y = 120
The number is therefore 120
Hence, 65% of 120 is 78
Please help me with number 1 and 3!!!?!???? Pleaseee
if there are 1200 tickets sold for a raffle and you bought 300, what is the probability you will not win..
Answer:
fraction form 3/4
decimal form 0.75
percentage form 75%
Step-by-step explanation:
Help me with this pleae
Answer:
0
x
Step-by-step explanation:
Simplify the radical.
√
15
4
A.
It is simplified
B.
3
√
5
4
C.
√
15
2
D.
-
3
√
5
4
Answer:
[tex]\sqrt{154}[/tex] is A) already simplified
Step-by-step explanation:
A pen costs twice as much as a pencil. 7 pens and 12 pencils cost a total of $6.50. What is the price of one pencil?
- Please show your work, I know the answer, but I just don’t know HOW to get the answer.
Answer:
$ 2.167
Step-by-step explanation:Let the cost of a pencil be x and that of a pen be y.
A pen costs twice as much as a pencil.
==> cost of a pen = 2 × cost of a pencil
==> y = 2x
Their total cost is $6.50
==> x + y = $6.50
since y = 2x, substituting y for 2x
==> x + 2x = 6.50
==> 3x = 6.50
dividing both sides by 3
==> x = 2.16
As per our assumption, x is the cost of one pencil.
Therefore, the cost of a pencil is $2.167
Lisa charges $28 for 2 hours of swimming lessons, Tara charges $75 for 5 hours of swimming lessons. Who offers a better deal?
Answer:
Lisa
Step-by-step explanation:
Find the amount of money Lisa and Tara charge every hour.
Lisa's ratio is 28 : 2 hours
Divide both sides of the ratio by 2
Lisa charges 14 dollars per hour
Tara's ratio is 75:5 hours
Divide both sides of the ratio by 5
Tara charges 15 dollars per hour
Lisa charges 1 dollar less each hour, so Lisa offers a better deal.
Hope this helps :)
Have an awesome day!
at the start of 2015, barry’s house was worth £270 000
the value of his house has increased by 3% every year
work out the value of his house at the start of 2020
Answer:
313003.6
Step-by-step explanation:
The number increases by 3 percent every year so 313003.6 is it.
I need help please! I've been stuck on this for a week and its really stressful lol
Answer:
[tex]y=0.2*4^{x}[/tex]
Step-by-step explanation:
Notice when x increases 1, y is 4 times the previous one, so
the function is like [tex]y=C*4^{x}[/tex]
To determine the constant C, put any pair of (x, y)
Use x = 0, y = 0.2, so
0.2 = [tex]C*4^{0}[/tex] = C * 1 = C
then [tex]y=0.2*4^{x}[/tex]
Answer:
[tex]y=(0.2)4^x[/tex]
Step-by-step explanation:
General form of the exponential function: [tex]y=ab^x[/tex]
Substituting the first point (0, 0.2) into the function:
[tex]\implies 0.2=ab^0[/tex]
As any number to the zero power always gives one, [tex]b^0=1[/tex]
[tex]\implies0.2=a \times 1[/tex]
[tex]\implies a=0.2[/tex]
Therefore, [tex]y=(0.2)b^x[/tex]
Substituting the second point (1, 1.8) into the function:
[tex]\implies0.8=(0.2)b^1[/tex]
[tex]\implies0.8=(0.2)b[/tex]
[tex]\implies b=\frac{0.8}{0.2}[/tex]
[tex]\implies b=4[/tex]
So the final exponential equation is:
[tex]y=(0.2)4^x[/tex]
Checking the equation with the remaining two points:
[tex]x=2 \implies (0.2)4^2=3.2 \ \ \ \checkmark[/tex]
[tex]x=3 \implies (0.2)4^3=12.8 \ \ \ \checkmark[/tex]
help i give 5 stars and a crown
Answer:
A. 82°
B. 144°
C. 75°
D. 150°
E. 241°
F. 80°
Step-by-step explanation:
A circle is 360°
A. 360 - 278 = 82 °
B. 360 - (124 + 92) = 144 °
C. 360 - (255 + 30) = 75 °
D. 360 - (118 + 30 +62) = 150 °
E. 360 - (21 +41 + 57) = 241 °
F. 360 - (30 + 60 + 80 + 110) = 80°
Also, the 80° is congruent so it's the same on both sides.
13. If a toy rocket is launched vertically upward from ground level with an initial
velocity of 100 feet per second, then its height h after t seconds is given by the
equation h(t) = - 16+ + 100t (if air resistance is neglected).
Check the picture below.
how long will it take for it to hit the ground, or namely, what is "t" when h(t) is 0.
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&100\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases}[/tex]
[tex]h(t)=-16t^2+100t+0\implies h(t)=-16t^2+100t\implies \stackrel{h(t)}{0}=-16t^2+100t \\\\\\ 16t^2-100t=0\implies 4t(4t-25)=0\implies \begin{cases} 4t=0\\ t=0\\[-0.5em] \hrulefill\\ 4t-25=0\\ 4t=25\\ t=\cfrac{25}{4}\\[1em] t=6\frac{1}{4} \end{cases}[/tex]
so h(t) is 0, as you saw on the picture, at two instances, once it was on the ground, 0 seconds, or t=0, and then t = 6.25, or 6 seconds and some change later.
Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inches. Now they have to decide whether the mean or the median is better. Which measure of center should the team use? Basketball team’s height (in inches) 64, 67, 83, 65, 66, 62, 69 The team’s mean height is. The team’s median height is. If the team members wants to brag about how tall they are, they should use their height.
If the team members want to brag about how tall they are, they should use the mean height of approximately 65.14 inches.
The basketball team should use the mean height as the measure of center to brag about how tall they are.
The team’s mean height is calculated by summing up all the heights and dividing by the total number of players. In this case, the sum of the heights is 64 + 67 + 83 + 65 + 66 + 62 + 69 = 456. Dividing 456 by the total number of players (7) gives us a mean height of approximately 65.14 inches.
The team’s median height is the middle value when the heights are arranged in ascending order. In this case, the heights arranged in ascending order are 62, 64, 65, 66, 67, 69, 83. The middle value is 66 inches.
If the team members want to brag about how tall they are, they should use the mean height of approximately 65.14 inches. The mean takes into account all the heights and provides an overall average, whereas the median only represents the middle value and may not accurately reflect the heights of all the players.
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A, B, C, or D please?
I just don’t understand this
Answer:
[tex]f(x)=\dfrac25x+\dfrac35[/tex]
Step-by-step explanation:
The data in the table means that if you input the value of x into the function, the output will be f(x).
The first two answer options are linear functions. If a function is linear, the ratio of the difference in y-values to the difference in x-values is always constant.
We can see that the x-values in the table increase by 3 each time, so the difference in x-values is 3.
By calculation, we can also see that the y-values increase by 6/5 each time, so the difference in y-values is 6/5.
Therefore, the ratio of differences is 6/5 ÷ 3 = 2/5 and is constant.
So the function is linear and has a slope (gradient) of 2/5
Therefore, the function is: [tex]f(x)=\dfrac25x+\dfrac35[/tex]