Answer:
Step-by-step explanation:
Given that:
R(x) = [tex]\frac{17}{2x+1}[/tex] + 34x − 17
As we know that derivative of revenue function is marginal revenue function .
We will use following rules of derivative
=> dR/ dx = [tex]\frac{-17*2}{(2x+1)^{2} } + 34[/tex]
=> R' (x) = [tex]\frac{-34}{(2x+1)^{2} } + 34[/tex]
=> R '(2000) = [tex]\frac{-34}{(2*2000+1)^{2} } + 34[/tex] = 34
The revenue when 2000 units are sold is:
R(2000) = [tex]\frac{17}{2*2000+1}[/tex] + 34*2000 − 17 = $69,783
The marginal revenue be "34" and revenue change be "$69,783".
Marginal revenue:The increase throughout income caused by the acquisition of one more unit of production, is a Marginal revenue. Although marginal income can stay unchanged at a predetermined interval, it's indeed subject to the regulations of decreasing returns as well as will ultimately slow as outcome level grows.
According to the question,
Revenue function,
R(x) = [tex]\frac{17}{2x+1}[/tex] + 34x - 17
Units sold = 2000
(a) The marginal revenue be:
→ [tex]\frac{dR}{dx}[/tex] = [tex]-\frac{17\times 2}{(2x+1)^2}[/tex] + 34
R'(x) = [tex]- \frac{34}{(2x+1)^2}[/tex] + 34
By substituting "x = 2000",
R'(2000) = [tex]- \frac{34}{(2\times 2000+1)^2}[/tex] + 34
= 34
(b) The revenue change be:
→ R(2000) = [tex]\frac{17}{2\times 2000+1}[/tex] + 34 × 2000 - 17
= 69,783 ($)
Thus the above response is appropriate.
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You are given the exponential function g(x) = 3 x . Which option below gives the formula for a new function h created by stretching g by a factor of 3 along the y-axis?
h(x) = 3x+1
h(x) = 3x-1
h(x) = x · 3x+1
h(x) = x · 3x-1
Answer:
A. [tex]h(x) = 3^{x+1}[/tex]
Step-by-step explanation:
Stretching means that original function is multiplied by a constant, which is equal to 3 in this case:
[tex]h(x) = 3 \cdot g (x)[/tex]
[tex]h(x) = 3\cdot 3^{x}[/tex]
[tex]h(x) = 3^{x+1}[/tex]
The answer is A.
Answer:
A
Step-by-step explanation:
Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces?
Final answer:
After converting the chain length from feet to inches, Tony will have 6 inches of gold chain left after making three necklaces, each requiring 16-inch pieces.
Explanation:
Tony needs to determine how much gold chain he will have left after making three necklaces, each requiring 16-inch pieces. First, we need to convert the total chain length from feet to inches. Since 1 foot equals 12 inches, 4.5 feet would be 4.5 × 12 inches, which equals 54 inches. Now, we can calculate the total length of chain needed for the necklaces by multiplying the length of one necklace (16 inches) by the number of necklaces (3), which is 16 × 3 = 48 inches.
Subtracting the total chain used for the necklaces (48 inches) from the total length of chain available (54 inches) gives us the remaining length of chain. So, 54 inches - 48 inches = 6 inches of chain leftover after making the three necklaces.
A manufacturer of a new medication on the market for Alzheimer's disease makes a claim that the medication is effective in 65% of people who have the disease. One hundred eighty individuals with Alzheimer's disease are given the medication, and 115 of them note the medication was effective. Does this finding provide statistical evidence at the 0.05 level that the effectiveness is less than the 65% claim the company made? Make sure to include parameter, conditions, calculations, and a conclusion in your answer.
Answer:
[tex]z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309[/tex]
[tex]p_v =P(z<-0.309)=0.379[/tex]
So the p value obtained was a very high value and using the significance level given [tex]\alpha=0.05[/tex] we have [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65
Step-by-step explanation:
Data given and notation
n=180 represent the random sample taken
X=115 represent the adults with the medication was effective
[tex]\hat p=\frac{115}{180}=0.639[/tex] estimated proportion of adults with the medication was effective
[tex]p_o=0.65[/tex] is the value that we want to test
[tex]\alpha=0.05[/tex] represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:
Null hypothesis:[tex]p \geq 0.65[/tex]
Alternative hypothesis:[tex]p < 0.65[/tex]
When we conduct a proportion test we need to use the z statisitc, and the is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
The One-Sample Proportion Test is used to assess whether a population proportion [tex]\hat p[/tex] is significantly different from a hypothesized value [tex]p_o[/tex].
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
[tex]z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309[/tex]
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided [tex]\alpha=0.05[/tex]. The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
[tex]p_v =P(z<-0.309)=0.379[/tex]
So the p value obtained was a very high value and using the significance level given [tex]\alpha=0.05[/tex] we have [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65
Answer:
H0: p = 0.65
Ha: p < 0.65
Sample proportion = 115 / 180 = 0.6389
Test statistics
z = - p / sqrt( p( 1 -p ) / n)
= 0.6389 - 0.65 / sqrt ( 0.65 * 0.35 / 180)
= -0.31
Critical value at 0.05 level = -1.645
Since test statistics falls in non-rejection region, do not reject H0.
We conclude at 0.05 level that we fail to support the claim.
Step-by-step explanation:
Your math professor gives you a set of 10 problems and tells you that the final exam will consist of a random selection of 5 of them. If you figured out how to do 7 of the problems, what is the probability that you answer correctly (a) all 5 problems (b) at least 4 of the problems
Answer:
hi
Step-by-step explanation:
sue your math professor that professor is evil
The painting by itself is a rectangle with length 20 cm and width 16 cm. The painting and frame together form a larger rectangle with length 25 cm and width 20 cm Find the area of the frame.
Answer:
The area of frame is 180 square meters.
Step-by-step explanation:
We are given the following in the question:
Dimension of rectangular painting:
Length, l = 20 cm
Width, w = 16 cm
Dimension of frame:
Length, L = 25 cm
Width, W = 20 cm
We have to find the area of frame.
Area of rectangle =
[tex]A = l\times w[/tex]
Area of frame =
[tex]A-a\\=(L\times W)-(l\times w)\\=(25\times 20)-(20\times 16)\\=180\text{ square meters}[/tex]
Thus, the area of frame is 180 square meters.
Find the solutions of the quadratic equation 14x^2+9x+10=0
Answer:
No real Solution
Step-by-step explanation:
Plug a=14, b=9, and c=10 into the quadratic formula, and you'll get
[tex]x=(-(9)±\sqrt{-479})/ 28[/tex]
since -479 is negative, you'll get an imaginary number.
Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal to the nearest hundredth, and as a percent to the nearest whole number. You choose a movie CD at random from a case containing 4 comedy CDs, 5 science fiction CDs, and 7 adventure CDs. The CD is not a comedy.
Answer:
0.75 is the probability of selecting a CD that is not comedy.
Step-by-step explanation:
We are given the following in the question:
Number of comedy CD = 4
Number of science CD = 5
Number of adventure CD = 7
Total number of CD,n = 16
We have to find the probability for selecting a random CD that is not comedy.
Formula:
[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
P( Non-Comedy CD) =
[tex]=\dfrac{\text{n(Non-Comedy)}}{n}\\\\=\dfrac{5+7}{16} = \dfrac{12}{16}=\dfrac{3}{4}= 0.75 = 75\%[/tex]
Thus, 0.75 is the probability of selecting a CD that is not comedy.
Jose scores 544 points in his math test. He needs at least 650 to get an A, write and solve the minimum number of points Jose needs to score on the remaining test,n, in order to get an A
Answer:
The correct answer is x [tex]\geq[/tex] 106, where x is the marks score by Jose in his remaining test, n.
Step-by-step explanation:
Jose scored 544 points in his math test.
Jose needs minimum of 650 points to get an A.
Let Jose scores x in the remaining test, n.
Jose needs to score an A. So, to reach 650 points, Jose need to score a minimum of 650 - 544 = 106 points.
Thus the value of x must be greater than of equal to 106, in his remaining test, n, to ensure that Jose gets an A.
⇒ x [tex]\geq[/tex] 106.
A plane has an airspeed of 134 km divided by h. It is flying on a bearing of 78 degrees while there is a 21 km divided by h wind out of the northeast (bearing 225 degrees). What are the ground speed and the bearing of the plane?
The ground speed of the plane is approximately 116.88 km/h, and its bearing is about 83.44°, given an airspeed of 134 km/h on a 78° bearing and a 21 km/h wind from 225°.
The plane's ground speed is approximately 116.88 km/h, and its bearing is roughly 83.44°. This calculation incorporates the plane's airspeed of 134 km/h at a bearing of 78° and a wind speed of 21 km/h from a bearing of 225°.
First, we decompose the velocities into horizontal and vertical components. For the plane's airspeed, the horizontal component is about 27.81 km/h, and the vertical component is around 131.04 km/h. Similarly, for the wind, the horizontal and vertical components are approximately -14.85 km/h each. By adding the horizontal components of the airspeed and wind, we get 12.96 km/h. Likewise, adding the vertical components yields 116.19 km/h.
Using these components, we calculate the resultant velocity vector's magnitude, approximately 116.88 km/h, using the Pythagorean theorem. The direction, or bearing, is computed to be approximately 83.44° using the inverse tangent function.
Therefore, the plane moves at a speed of about 116.88 km/h, slightly northeast of east, due to the combined effect of its airspeed and the wind.
What is the length of the shortest side of a triangle that has vertices at (4, 6), (-2, 0), and (-6, 3)?
A.
B.
C.
D.
Answer:
5
Step-by-step explanation:
Figuring the short side, it becomes a nice 3, 4, 5 triangle
so the short side is 5 units.
Hope this helped
:)
Final answer:
The length of the shortest side of the triangle is the length of side BC, which is calculated to be 5 units using the distance formula.
Explanation:
To find the length of the shortest side of the triangle with the given vertices, we will calculate the length of each side using the distance formula √((x2-x1)² + (y2-y1)²) and then determine the shortest one.
Side AB: [tex]\sqrt{((-2-4)^2 + (0-6)^2)}[/tex] = √(36+36) = √72 ≈ 8.5Side AC: [tex]\sqrt{((-6-4)^2 + (3-6)^2)[/tex]= √(100+9) = √109 ≈ 10.4Side BC: [tex]\sqrt{((-6+2)^2 + (3-0)^2)}[/tex] = √(16+9) = √25 = 5Therefore, the length of the shortest side is the length of side BC, which is 5 units.
True or False
Interior Angle - Angle formed by 3 adjacent sides inside the polygon.
Select the appropriate response:
True
False
Answer:
False.
Step-by-step explanation:
it is an angle formed by 2 adjacent sides inside the polygon.
Answer:
False
Step-by-step explanation:
Interior angle is formed by 2 adjacent sides
What is the relative minimum of the function?
Enter your answer in the box.
Answer:
-5
Step-by-step explanation:
The minimum is at the vertex. This is at (1, -5)
The minimum value is -5
A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accomodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and * may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost
Answer: They must hire 12 Counselors and 18 Aides
Step-by-step explanation: The most important factor here is the fact that they need to minimize hiring costs. The math camp can afford to hire up to 45 members of staff and can as well run properly with 30 members of staff.
The camp must have at least 10 aides (simply put, any number above 10 will do). Also they may have up to 3 aides for every 2 counselors, that is the ratio of counselor to aide has been given as;
2 : 3
If the math camp decides to hire the minimum required in order to minimize cost, they would be hiring 30, and that would be divided according to the following ratio;
(Counselor):
30 x 2/5 = 12
(Aide):
30 x 3/5 = 18
Hence they would be hiring 12 counselors at a cost of
2400 x 12 = 28800
And 18 Aides at a cost of
1100 x 18 = 19800
Therefore the total (minimum) cost of hiring staff is $48,600
The problem is a mathematical optimization problem, solved using systems of inequalities. The camp's optimal hiring strategy can be obtained by satisfying a set of constraints and minimizing a cost function.
Explanation:This problem can be solved using systems of inequalities in mathematics. Let's let C represent the number of counselors and A represent the number of aides. Here are the constraints you need to consider:
The camp can accommodate up to 45 staff members: C + A ≤ 45 The camp needs at least 30 staff members to run properly: C + A ≥ 30 They must have at least 10 aides: A ≥ 10 The camp may have up to 3 aides for every 2 counselors: A ≤ (3/2)C
Also, keep in mind that the camp wants to minimize costs, and the average monthly salary is $2400 for counselors and $1100 for aides, so you need to minimize the total cost function: 2400C + 1100A. By solving this system of inequalities and minimizing the cost function, the camp will have an optimal hiring strategy.
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Mason is having new tires put on his wheel chair. The tires are regularly 56, but this weekend, they are on sale for 25% off. Mason wants to know the sale price for the tires
Answer:
the tires are 42 dolars
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
25% × 56 =
(25 ÷ 100) × 56 =
(25 × 56) ÷ 100 =
1,400 ÷ 100 =
14
kira has a rope that is 5 meters long. she cuts a piece that is 1.51 meters long. how long is the remaining piece of rope
Answer:
3.49
Step-by-step explanation:
5-1.51=3.49
Answer:
3.49 meters long
Step-by-step explanation:
5-1.51 = 3.49
- If you need this further explained please let me know. I would be glad to help.
Suppose a coffee cup has a diameter of 8cm and a height of 9cm. What is the volume of the cup ? (to the nearest whole number)
A) 81 cm^3
B) 226 cm^3
C) 452 cm^3
D) 1018 cm^3
Answer:
452 cm^3
Step-by-step explanation:
The volume of a cilinder is [tex]\pi (radius^{2})(height)[/tex]
The diameter of the cup is 8cm, the formula of the radius is [tex]\frac{diameter}{2}[/tex]
So the radius would be [tex]\frac{8}{2}[/tex] = 4cm
We change variables in the formula of the volume [tex]\pi(4^{2})(9)[/tex] = 144[tex]\pi[/tex] = 452cm^3
Answer:
i needed the same thing woa
Sarah used her calculator to work out the value of a number y .
The answer on her calculator display began.
7.8
Complete the error interval for y.
[......] ≤ y < [......]
The error interval for y is 7.8 ≤ y < 7.9.
Explanation:The error interval is determined by the decimal digits that will determine the value of y. Since the calculator display shows 7.8, y will be between 7.8 and the next smallest number, which will be 7.9. Therefore, the error interval for y is:
7.8 ≤ y < 7.9
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The error interval for y is [7.8, 7.9).
Explanation:To find the error interval for y, we need to consider the decimal place immediately after the given value on Sarah's calculator display. Since the given value is 7.8, we look at the digit after the decimal point, which is 0. If this digit is 5 or greater, we round up the previous digit. In this case, 0 is not greater than 5, so we do not round up. Therefore, the error interval for y is [7.8, 7.9).
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3/4 of the students at Timber Elementary play sports. Of those students, 1/5 of them play soccer. What fraction of the students at Timber Elementary play soccer?
Answer:
3/20 of the students play soccer
Step-by-step explanation:
1. Divide the amount of students that play sports, 3/4 by the amount of those that play soccer, 1/5
2. 3/4 divided by 1/5= 3/20
Answer:
3/20
Step-by-step explanation:
Which simplified fraction is equal to 0.1ModifyingAbove 7 with bar?
StartFraction 9 Over 17 EndFraction
StartFraction 8 Over 45 EndFraction
StartFraction 17 Over 9 EndFraction
StartFraction 16 Over 90 EndFraction
Answer:
8/45
Step-by-step explanation:
The simplified fraction is equal to 0.1ModifyingAbove 7 with bar is StartFraction 17 Over 9 EndFraction, the correct option is C.
How to interpret the fraction?Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be
[tex]\dfrac{a}{b}[/tex]
Then, we can interpret it as:
[tex]\dfrac{a}{b}[/tex] = a parts out of b parts of a thing.
We are given that;
The fraction; 0.1ModifyingAbove 7 with bar
Now,
The number 0.1 is a repeating decimal, which means it has a repeating pattern of digits after the decimal point. To convert this decimal to a fraction, we can use the fact that:
0.1= 0.111= 1/9
So the simplified fraction that is equal to 0.1 is;
StartFraction 1 Over 9 EndFraction
StartFraction 9 Over 17 EndFraction can't be simplified further.
StartFraction 8 Over 45 EndFraction can be simplified to StartFraction 16 Over 90 EndFraction.
StartFraction 17 Over 9 EndFraction can't be simplified further.
StartFraction 16 Over 90 EndFraction can be simplified to StartFraction 8 Over 45 EndFraction.
Therefore, by fraction the answer will be StartFraction 17 Over 9 EndFraction.
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How many batches of cookies can you make if you have 8 cups of flour and recipe calls for 3/4 per batch?
Answer:
10 batches i think, sorry if im wrong
Step-by-step explanation:
To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you would divide 8 by 3/4.
Explanation:To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you need to divide the total amount of flour by the required amount for each batch. So, you would divide 8 cups by 3/4 cup:
8 cups ÷ 3/4 cup = 8 ÷ 3/4 = 10 2/3 batches of cookies
Therefore, you can make approximately 10 and 2/3 batches of cookies.
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25 POINTS FOR FIRST ANSWER
ANSWER ASAP PLZ
1 is union so all all the numbers inside the circles:
{8,9,14,15,16,17}
2 is intersection so the numbers where the circles cross each other
{14,17}
3. A’ is any number not included with A
There are 10 total numbers.
7 are not associated with A
Probability would be 7/10 = 0.70
Martin has collected 18 U.S. stamps and 12 international stamps. He wants to display them in identical groups of U.S. and international stamps, with no stamps left over. What is the greatest number of groups Martin can display them in?
A ball is hit into the air with an initial velocity of 100 ft/s. Its height, h(t), after t seconds is given by the function h(t) = -16t² + 100t + 5. What is the ball's maximum height?
at maximum. dt/dh=0
if you differentiate you will get
-32t=-100
t=3.125
3 3/4 divided by 5/7
Answer:
5 1/4
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by its inverse.
(3 3/4)/(5/7) = (15/4)/(5/7) = (15/4)·(7/5) = 21/4 = 5 1/4
_____
Many graphing calculators (and some scientific calculators) will do this mixed-number arithmetic for you.
The circumference of a circle is 16 pi ft.
What's the radius
Answer:
2.54648 ft
Step-by-step explanation:
r = 8/π (ft.) Therefore, the radius of the circle when its circumference is 16 feet is r ≈ 2.54648 ft. C = 2 (3.14159) (2.54648) ft :)
Susan owns a home that is worth $128,318.74, a 2005 truck worth $10,615.00, and has investments that total $4,459.16. Susan owes $93,987.74 on her mortgage, $2,874.46 in student loans, and $1,214.92 on her credit card. What is Susan's Net Worth?
Answer:
Net worth is defined as:
Assets - Liabilities.
Assets are what you own.
Liabilities are what you have to pay.
So, home + truck + investments are assets.
Likewise, mortgage + student loans + credit cards are liabilities.
Doing the math, Susan's net worth is
Assets - Liabilities
$143,392.90 - $98,077.12 =
$45,315.78
Susan's net worth is $45,315.78
Good luck!
Susan's net worth is calculated by subtracting her total liabilities (mortgage, student loans, and credit card debt) from her total assets (home, truck, and investments). Therefore, Susan's net worth is $45,315.78.
Explanation:The question is about calculating Susan's net worth. Net worth is calculated by subtracting the total liabilities from total assets. In Susan's case, her assets include her house, truck, and investments, which total to $143,392.90 ($128,318.74 for the house, $10,615.00 for the truck, and $4,459.16 for her investments). Her liabilities include her mortgage, student loans, and credit card debt, which sums up to $98,077.12 ($93,987.74 for the mortgage, $2,874.46 for the student loans, and $1,214.92 for the credit card debt). To calculate Susan's net worth, subtract total liabilities from total assets. Therefore, Susan's net worth is $45,315.78 ($143,392.90 - $98,077.12).
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Find the area of the shaded region. Round to the nearest hundredth where necessary. Remember: you are subtracting the areas.
Given:
The base of the given figure = 23.8 ft
Height of the parallelogram = 15 ft
To find the area of the shaded region.
Formula
[tex]A = A_{1} -A_{2}[/tex]where, [tex]A[/tex] be the area of the shaded region
[tex]A_{1}[/tex] be the area of the parallelogram.
[tex]A_{2}[/tex] be the area of the triangular part.
The area of triangle [tex]A_{2} = \frac{1}{2} bh[/tex] where, b be the base and h be the height.The area of the parallelogram [tex]A_{1} =( base)(height)[/tex]By Pythagoras theorem, [tex]hypotenuse^{2} = base^{2}+height^{2}[/tex]Now,
Putting, Base = 21, Hypotenuse = 23.8 we get,
[tex]Height^{2} = 23.8^{2}-21^{2}[/tex]
or, [tex]Height = \sqrt{566.44-441}[/tex]
or, [tex]Height = 11.2[/tex]
Therefore,
Area of the parallelogram [tex]A_{1} = (23.8)(15)[/tex] sq ft = 357 sq ft
Area of the triangle [tex]A_{2}[/tex] = [tex]\frac{1}{2}(11.2)(21)[/tex] sq ft = 117.6 sq ft
So,
The area of the shaded part = (357-117.6) sq ft = 239.4 sq ft
Hence,
The area of the shaded part is 239.4 sq ft.
Leigh drive 1470 km from smith falls ON to thunder bay ON she stopped 370 km from smith falls About what percent of her trip has she completed when she stopped
Answer:
75%
Step-by-step explanation:
Here, we are asked to calculate the percentage of a trip that has been completed by Leigh.
Firstly, we identify the total length of the trip, this is 1470km. She stopped 370km from her destination. The length of the distance traveled is 1470km - 370km = 1100km
Now we proceed to calculate what percentage of the journey is this.
We calculate this by placing it over the total length multiplied by 100%
That would be
1100/1470 * 100 = 74.82 approximately 75%
Solve the system of equations 7x - y = -13 and -3x - y = -3 by combining the equations
Answer:
The answer to your question is (-1, 6)
Step-by-step explanation:
Data
7x - y = -13 Equation l
-3x - y = -3 Equation ll
-Solve equation l for y
y = 7x + 13 Equation lll
-Substitute equation lll in equation ll
-3x - (7x + 13) = -3
-Solve for x
-3x - 7x - 13 = -3
-10x = 13 - 3
-10x = 10
x = 10/-10
x = -1
-Substitute x in equation lll
y = 7(-1) + 13
y = -7 + 13
y = 6
You are throwing darts at a dart board. You have a chance of striking the bull's-eye each time you throw. If you throw 3 times, what is the probability that you will strike the bull's-eye all 3 times?
Answer:
Correct answers is
[tex] \frac{1}{216} [/tex]
Step-by-step explanation:
Given: The chances of striking the bull's-eye each time of throw =\frac{1}{6}
Since, if we throe dart on dart board , each event will be independent of the other.
Then, If we throw 3 times, what is the probability that we will strike the bull's-eye all 3 times is given by :-
[tex]p(strike \: bulls \: eye \: ) = \frac{1}{6} x \frac{1}{6} x \frac{1}{6} = \frac{1}{216} [/tex]
Hence, the probability that we will strike the bull's-eye all 3 times is 1/216
Answer:
1/216
Step-by-step explanation: