A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on the space on which the wheel stops. Let X be the value of a random spin. The distribution of X is given in the table. What is the mean?
Answers
Answer:The median of the distribution is (first option)
1
Step-by-step explanation:
The values on the given table are presented as follows;
Value of spin: 0,1,2,5,10
Probability: 0.4,0.2,0.2,0.1,0.1
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The solution is : The median of the distribution is (first option) 1
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
The values on the given table are presented as follows;
Value of spin: 0,1,2,5,10
Probability: 0.4,0.2,0.2,0.1,0.1
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1,
the median of the probability distribution is 1.
Hence, The solution is : The median of the distribution is (first option) 1
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Related Questions
Is (1,9) a solution to this system of equations?
y=5x+4
y=2x+7
Answers
Answer:
yes , if you substitute X (1) in both the equations you will get y=9 and if you substitute y(9) in both the equations you will get X=1
1/200
written as a finite decimal work shown
Answers
= 1
200
x 5
5
= 5
Then The numerator 5 of fraction 5/1000 can also be expressed as 5.00. Being 1000 as the denominator, move the decimal point 3 decimal places from right to left in the numerator to write the fraction as decimal number.
= 5
1000
= 0.005
So this is how
1/200 as a decimal is 0.005
A snack company can pack 12 granola bars in a box. How many boxes are needed for 600 granola bars?
A.5
B.720
C.50
D.7, 200
Answers
Answer:
The Answer is C. 50
Step-by-step explanation:
To pack 600 granola bars, 50 boxes are needed.
The correct option is C.
To determine how many boxes are needed for 600 granola bars, we divide the total number of granola bars by the number of granola bars that can be packed in one box.
Number of boxes = Total granola bars / Granola bars per box
Number of boxes = 600 / 12
Number of boxes = 50
So, 50 boxes are needed to pack 600 granola bars.
The correct answer is option C: 50.
To confirm this, let's see the reasoning: Since each box can hold 12 granola bars, to get 600 granola bars, you need to divide 600 by 12. The result is 50, which means you need 50 boxes to pack 600 granola bars. Option C, with 50, is the correct answer. Options A, B, and D do not provide the accurate number of boxes required for 600 granola bars.
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The value of a car is $25,500. It loses 14% of its value every year.
Answers
25,000*0.14= 3500
Y=
Jeans cost $38. They are on sale for 45% off. What is the sale price?
Show your work, please
Answers
I don’t know how to explain but hope this helps.
Answer:
$20.9
Step-by-step explanation:
First you find what 45% of the cost is:
0.45 x 38 = 17.1
Then, because this is a special/decrease in original price, you subtract:
38 - 17.1 = 20.9
$20.9
Jordan wants to put wire fence around each of his tomato plants. He has a partial roll of fencing which is 18 1/6 feet long. How many tomato plants will Jordan be able to put a fence around using this roll if each plant requires exactly 2 2/3 feet of fencing.
Answers
Answer:
6 tomato plants
Step-by-step explanation:
[tex]18\frac{1}{6}= \frac{18\times6+1}{6}=\frac{108+1}{6}= \frac{109}{6}[/tex]
[tex]2\frac{2}{3}= \frac{2\times3+2}{3}=\frac{6+2}{3}= \frac{8}{3}[/tex]
then the number of tomato plants that Jordan will be able to put a fence around using this roll :
[tex]\frac{\frac{109}{6}}{\frac{8}{3}}= \frac{109}{6}}\times\frac{3}{8} = \frac{109}{2}}\times\frac{1}{8}= \frac{109}{16} = 6.8125[/tex]
then he can put fence only around 6 plants.
What is the volume of the rectangular prism shown below?
A. 224 in³
B. 320 in³
C. 512 in³
D. 5,120 in³
Answers
Answer:
[tex]\boxed{\sf{5120\ in^3}}[/tex]Step-by-step explanation:
Solution:
Volume of the rectangular prism formula:
[tex]: \Longrightarrow \sf{V=l*w*h}[/tex]
Given:
Length: 32 inWidth: 10 inHeight: 16 inThen, you multiply.
[tex]\sf{32*10*16=\boxed{\sf{5120}}[/tex]
Therefore, the correct answer is "D. 5120 in³".Answer:
D
Step-by-step explanation:
1. The subject of the statement is also the _____ of the if-then form. *
1 point
Argument
Conclusion
Converse
Hypothesis
Answers
A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion. The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.
This was found on the internet
Hope this helps :)
3/5x2/5x4/9 in simplest form
Answers
Answer:
8/75 is the answers for the question
(8. 69×10to the power of 8)–(9. 6×10 to the power of 6
Answers
Answer:
3.25×10^15
Step-by-step explanation:
(8.69×10)^8_(9.6×10)^6. (3.25)×10^15_(7.83)×10^11=3.25×10^15
Can someone please help me I need it asap!! I’ll give brainlist !!!
Answers
Answer:
[tex]6^{6}[/tex]
Step-by-step explanation:
When the coefficient is the same (in this case it is 6), you can subtract the exponents when it's being divided.
So in this case, the exponents are 9 and 3. The 9 is being divided by the 3, So:
[tex]6^{9-3}[/tex]
[tex]6^{6}[/tex]
Which algebraic expression is equivalent to the expression below? 12(5 + 3x) + 18
A.
36x - 78
B.
3x + 78
C.
36x + 78
D.
36x + 42
Answers
Step-by-step explanation:
12(5 + 3x) + 18
60+36x+18
C)36x+78
What is the value of (-3 + 3) + (-2 + 3)?
O 5 - 61
0 -5 + 6
O 5 + 61
O 5-61
Answers
Answer:
Please check the question. As written, the value is 1, which is not amoung the answers
Step-by-step explanation:
(-3 + 3) + (-2 + 3)
(-3 + 3) = 0
(-2 + 3) = 1
0 + 1 = 1
m∠A=(y−16)° plese help me i really need this answer
Answers
I don't know what u r trying to find out so pls tell me what u r trying to find out.
But if u r trying to find out y here,
It is impossible to find out value of y, as we don't have the value of a or any other hints which will help in finding y.
But we can write the equation in a different way,
that is...
A - y = - 16°
Which rigid transformation(s) can map triangleabc onto trianglefed? reflection, then dilation reflection, then translation rotation, then translation rotation, then reflection
Answers
Answer:
rotation
Step-by-step explanation:
reflection
Answer:
rotation then translations-- C
Step-by-step explanation:
yes. and bc taking the quiz rn
find the height and area of the equilateral triangle
Answers
As here we are given with an equilateral triangle, whose side is 3 cm, and we need to find the height and area of the equilateral triangle. So, for this let's recall that, the area of any equilateral triangle with side a is given by ;
[tex]{\boxed{\bf{Area_{(Equilateral\:\: Triangle)}=\dfrac{\sqrt{3}}{4}a^{2}}}}[/tex]So, if we substitute a = 3, in our Formula, it will yield to
[tex]{:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(3)^{2}}[/tex]
[tex]{:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(9)}[/tex]
[tex]{:\implies \quad \boxed{\bf{Area_{(Equilateral\:\:Triangle)}=\dfrac{9\sqrt{3}}{4}\:\:cm^{2}}}}[/tex]
Now, as we know that, for any triangle we also have a formula that is ;
[tex]{\boxed{\bf{Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}}}[/tex]Now, Here as the triangle is equilateral, so it's base will just be same 3, and if we let height be H, so we will be having
[tex]{:\implies \quad \sf \dfrac{1}{2}\times 3\times H=\dfrac{9\sqrt{3}}{4}}[/tex]
[tex]{:\implies \quad \sf H=\dfrac{9\sqrt{3}}{4}\times \dfrac23}[/tex]
[tex]{:\implies \quad \boxed{\bf{Height=\dfrac{3\sqrt{3}}{2}\:\:cm}}}[/tex]
Phone numbers consist of a three-digit area code followed by seven digits. if the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible? how did you come up with your answer? a. 8 times 10 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 6,400,000,000 b. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 1,280,000,000 c. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 = 128,000,000 d. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 times 10 = 12,800,000,000
Answers
The possible number of different phone numbers will be 128000000
What is probabilty?
The extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
In this exercise we have to use the knowledge of probability to find the phone number, so:
1 280 000 000 different ways.
First we have to establish some information about this exercise such as:
The first slot cannot start with 0 or 1, which leaves us 2, 3, 4 ..., 9 to fill.This means we have 8 different arrangements for the first slot.The second slot have a 0 or 1 for the second digit, which leaves us with 2 different arrangements.There are no restrictions for the third slot, so we would have 10 different arrangements.Thus, now calculating the possibilities of occurrence, we have:
[tex]8\times 2\times 10=160[/tex]
[tex]8\times 10^6=8000000[/tex]
[tex]160\times 8000000=1280000000[/tex]
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An auto dealer reduces the prices on the cars on the sales lot. The owner of the lot is planning on lowering the price of the cars by 4% each week. The original price was $22,000. B. Write the recursive routine.
Answers
A 45-foot tall tree is leaning towards a house, making an 86° angle with the ground. To stop the tree from leaning further, a cable is tied from the top of he tree and secured to a point on the ground 30 feet from the tree, opposite from the house. What angle does the cable make with the ground?
Answers
The angle (less than 90°) that the cable makes with the ground for this considered case is 59° approximately.
What is law of cosine?Let there is triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is opposite side to angle A)
Consider the diagram attached below.
In the diagram given, we have:
AB = tree with length of 45 ft
AC = cable, with length of 'x' ft (assume)
BC = distance of the base of the cable from the base of the tree of measurement 30 ft.
AD = vertical height of the point A (the top of the tree and cable) from the ground of 'h ft' (assume),
Using the cosine rule for the triangle ABC, taking:
|AC| = x = length of the side opposite to the known angle
|AB| = 45 ft and BC = 30 ft are rest of the two sides,
Angle opposite to AC is of 86°
Thus, we get:
[tex]45^2 + 30^2 -2(30)(45)\cos(86^\circ) = x^2\\\\2925 - 188.34 \approx x^2\\\\x \approx \sqrt{2736.66} \approx 52.31 \: \rm ft[/tex]
(took positive root because of x being length, which is a non-negative quantity).
For triangle ABD, using the sine ratio from the perspective of angle A, we get:
[tex]\sin(m\angle A) = \dfrac{\text{side opposite to A}}{\text{length of hypotenuse}} \\\\\sin(86^\circ) = \dfrac{h}{45}\\\\h = \sin(86^\circ) \times 45 \approx 44.89 \: \rm ft[/tex]
Now, for the triangle ACD, using the sine ratio from the perspective of angle C (smaller than 90°), we get:
[tex]\sin(m\angle C) = \dfrac{\text{side opposite to C}}{\text{length of hypotenuse}} \\\\\sin(\theta^\circ) = \dfrac{h}{x} \approx \dfrac{44.89}{52.31} \approx 0.858\\\\\theta =\sin^{-1}(0.858) \approx 59.09, 120.90[/tex]
Taking the angle smaller than 90°, we get:
[tex]\theta \approx 59.09^\circ \approx 59^\circ[/tex]
Thus, the angle (less than 90°) that the cable makes with the ground for this considered case is 59° approximately.
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Answer:
That wasn't the correct answer
Step-by-step explanation:
c^2=45^2+30^2 - 2(45)(30)*Cos(94
c^2=2925+188.3425
c^2=3113.3425
take the square root:
c is approx. 55.8
sin86/55.8=sinx/45
55.8sinx=45sin94
divide both sides by 55.8
sinx=0.8045
sin^-1(0.8045)=53.6
Answer is 53.6 or "L" on the scavenger hunt worksheet
What is the value of x in the matrix equation below?
Answers
Answer:
-3
Step-by-step explanation:
what is the rule for the numbers 1; 2; 4; 7; 11; 16
Answers
Answer:
n²+n+2
Step-by-step explanation:
1)Find the difference between the numbers.
Difference= +1,+2,+3,+4,+5
2)Find the second difference between the first differences.
Difference= +1 each time
2 differences=Quadratic sequence
3)Quadratic Sequence Equation= an²+bn+c
Find the values of a, b and c by using these terms:
a (bottom)
2a+b (middle)
a+b+c (top)
4)Substitute values into equation
a=1 b=1 c=2
n²+n+2
Solving quadratic equations using the quadratic formula.
Answers
Answer:
what is there supposed to be a picture
Answer:
Down Here ↓↓↓
Step-by-step explanation:
Hello!
Standard Form of a Quadratic: [tex]ax^2 + bx +c[/tex]
Quadratic Formula: [tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.
Question: [tex]2x^2 +4x+2[/tex]
Solution:
Determine the values of "a", "b", and "c".
a = 2b = 4c = 2Plug it into the quadratic equation to solve.
Solve:
[tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex][tex]x = \frac{-(4) \pm\sqrt{(4)^2-4(2)(2)}}{2(2)}[/tex][tex]x = \frac{-4 \pm\sqrt{16 - 16}}{4}[/tex][tex]x = \frac{-4 \pm\sqrt{0}}{4}[/tex][tex]x = \frac{-4}{4}[/tex][tex]x = -1[/tex]The value of x is -1.
How does knowing the coordinates of a point P in the Cartesian plane help you determine the trigonometric ratios associated with the angle formed between the initial and terminal arm for the angle? Use an example to help you explain.
Answers
The cosine and the sine of the angle are the x and y coordinates of P, respectively
The relationship between the coordinates and trigonometry ratiosAssume that the coordinate of a point P is:
P = (x,y)
The trigonometry ratios are represented using:
(cos(t), sin(t))= (x,y)
Where t represents the angle formed between the initial and terminal arm.
Hence, the cosine and the sine of the angle are the x and y coordinates of P, respectively
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please help me with this thanks so much to whoever is helping me
Answers
Answer:
X = 80
Step-by-step explanation:
A flat line is equal to 180 degrees, meaning that if you use linear, you can find out that if you subtract 100 from it, it becomes 80, which resembles the X.
Alex for school I need help whoever helps first will get brainlyist
Answers
Answer:
wheres the question ?
Step-by-step explanation:
If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Please use a calculator, and answer to the nearest whole percent.
Answers
Using an exponential function, it is found that it's annual growth rate is of 4%.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:
A(10) = 1.5A(0).
Thus:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]1.5A(0) = A(0)(1 + r)^{10}[/tex]
[tex](1 + r)^{10} = 1.5[/tex]
[tex]\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}[/tex]
1 + r = 1.04.
r = 0.04.
0.04 x 100% = 4%.
It's annual growth rate is of 4%.
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Simplify 5^3/5^7 leaving your anwser in index form help!!!!!!!!
Answers
Answer:
0.0016
Step-by-step explanation:
Hope this helps!
A racerunner is 26. 7 cm long. How much less than a meter is this?
Answers
Answer:
73.3 cm
Step-by-step explanation:
show work and do it fast
Answers
Answer:
9 x 2/8 = 9/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
9 divided by 2/8 but make the 2/8 into a decimal and the turn back to a fraction if it ask if not then leave it how it is and if you have to round which you prolly wont have to but ask to make sure ight
If your good at geometry please help me!
Answers
Jada's claim as a conjecture would be:
"All the segments in Δ ABC are parallel to the corresponding segments in Δ A'B'C' because both triangles are dilated from center P".
What is the implication of a dilation?
Whenever a shape is a dilation of another, we agree that the current shape and the dilated image's corresponding side lengths are in the same proportion and are all associated by the same scale factor, k.
What is the proof?
Attached are the images showing the parallelity of the segments and their corresponding lines.
Image 1 shows that Δ ABC and Δ A'B'C' are dilated from center p.Image 2 shows that Lines AB and A'B' run parallel to one another.Image 3 shows that lines CB and C'B' run parallel to one another.Image 4 shows that lines AC and A'C' run parallel to one another.
Hence, from the above, we can confirm that the above conjecture is true.
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