We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
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Answer:
-1/6
Step-by-step explanation:
Select the correct answer.
Which of the four "progressive amendments" gave women the right to vote?
A.
Sixteenth
B.
Seventeenth
C.
Eighteenth
D.
Nineteenth
Identify two ANGLES that are marked congruent to each other on the diagram below
Answer:
Angle J is congruent to Angle G
maths question algebra
Answer:
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Step-by-step explanation:
5x² - 3y = 4y + 8 ( add 3y to both sides )
5x² = 7y + 8 ( divide both sides by 5 )
x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Write the inequality that represents the solution set to the given inequality below.
−8≥x−2≥10
Group of answer choices
4≤x≤−5
−4≤x≤5
4≥x≥−5
−4≥x≥5
Answer:
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
Step-by-step explanation:
I can't match it to one of your solutions but I can explain this:
-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10
We can add 2 to each side to eliminate the -2 in the centre.
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
Can someone solve this?
[tex](\sqrt[3]{5})^{2}[/tex]
Answer:
[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{5})^2[/tex]
[tex](5^{\frac{1}{3}})^2[/tex]
[tex]5^{\frac{1}{3}*2}[/tex]
[tex]5^\frac{2}{3}[/tex]
Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]
Help I need help please help help
Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.
Step-by-step explanation:
Let us solve for our 1st inequality.
2x + 9 - 9 < 0 - 9
2x< -9
2x/2 < -9/2
X< -4.5
Upon combining our both inequalities, we will get:
-12 < x < -4.5
This means that solution of our inequalities is x values greater than -12 and less than -4.5
We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.
Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}
The measure is the angles of a triangle are shown in the figure below. Solve for x
Answer:
30+48+x=180
x=102 ..........
..................
Solve the following system: y = x 3 2x y = 9 (2, 5) (5, 2) (â’2, 5) (2, â’5).
The required solution of the equation is (2,5). The correct option is A. (2,5).
Given equations,[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]
How to solve a system of equations?putting the value of y from eq. 1 in eq. 2 we get,
[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]
putting the value of x=2 in eq. 1 we get,
[tex]y=2+3\\y=5[/tex]
Hence, the required solution of the equation is (2,5).
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For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
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A backpack weighed 28 pounds if you take out a textbook that weighs 6 pounds and3 ounces how much will the backpack weigh
Answer:
22 pounds and 13 ounces
Step-by-step explanation:
I hope this helps!
Which equation is equivalent to the formula m = ca? a = cm a equals m over c c = am c equals a over m.
Answer:
a = m/c
Step-by-step explanation:
I translated the paragraph into these options. Please check accuracy.
m = ca?
a = cm No, a = m/c
a = m/c Yes
c = am No, c = m/a
c = a/m No, c = m/a
The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
Given to us:
[tex]m=ca[/tex]
dividing both sides by c, we get
[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]
canceling c from right hand side, we get
[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]
Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
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hola pueden ayudar a=6cm b=8cm c?
Answer:
c=10cm
Step-by-step explanation:
a²+b²=c²
6²+8²=c²
36+64=c²
100=c²
10=c
A piece of metal with a length of 2. 83 cm was measured using four different devices. Which of the following measurements is the most accurate? 2. 837 cm 2. 829 cm 2. 812 cm 2. 805 cm.
Answer:
2.829 mm
Step-by-step explanation:
Correct: 2.83 mm
Measured(mm) Difference (mm)
2.837 0.007
2.829 -0.001 Smallest deviation from actual.
2.812 -0.018
2.805 -0.025
The measurement of the piece of metal that is the most accurate is 2.837 cm.
Given that,A piece of metal with a length of 2.83 cm was measured using four different devices.
We have to determine,Which of the following measurements is the most accurate?
According to the question,A piece of metal with a length of 2.83 cm was measured using four different devices.
Accuracy is the degree to which the measured value is close to the correct value.
The difference between the accepted value and the measured value of the quantity is called the error of measurement.
The measurement for the first device is,
[tex]=2.83 - 2.837\\\\=-0.007[/tex]
The measurement of the first device is -0.007.
The measurement for the second device is,
[tex]=2.83 - 2.829\\\\=-0.001[/tex]
The measurement of the second device is -0.001.
The measurement for the third device is,
[tex]=2.83 - 2.812\\\\=-0.018[/tex]
The measurement of the third device is -0.018.
The measurement for the fourth device is,
[tex]=2.83 - 2.805\\\\=-0.025[/tex]
The measurement of the fourth device is -0.02.
Hence, The measurement that is the most accurate is 2.837 cm.
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PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
D
Step-by-step explanation:
Solve for a, round your answer to the nearest hundredth:-3(a + 9) - 5(a - 5) = 8
Answer:
22
Step-by-step explanation:
3(a+9)-5(a-5)=8
3a+27-5a+25=8
3a-5a+27+25=8
-2a+52=8
-2a=8-52
-2a=-44
a=-44/-2
a=+22
50% of what number is 60?
Answer:
50% of 60 is 30
Step-by-step explanation:
Solve.
|x|−5=−20
–4 or 4
no solution
–100 or 100
100
Answer:
No Solution
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle \large{|x|-5=-20}[/tex]
First, Add both sides by 5 which leaves us [tex]\displaystyle \large{|x|=-15}[/tex]
By definition, an absolute value cannot be negative. There are no x-values that can equal to -15 because no matter what real numbers you put in or substitute, it will never become negative.
Hence, no solution.
if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure
========================================================
Work Shown:
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
3 yards + 2 feet = 9 feet + 2 feet = 11 feet
1 foot = 12 inches
11 feet = 132 inches (multiply both sides by 11)
11 feet + 3 inches = 132 inches + 3 inches = 135 inches
can someone help me do this
Answer:
[tex]23^{\tfrac 12} = \sqrt{23}~~~~;\left[a^{\tfrac 12} = \sqrt a \right][/tex]
Step-by-step explanation:
What Is the answer to the two questions? 18 points! p.s. Brainliest
Answer:
Look at other page answer is there
Step-by-step explanation:
Find the degree of this polynomial
z − 2
Answer:
1
Step-by-step explanation:
Prove how they are congruent. Geometry:SSS
[tex]\huge \bf༆ Answer ༄[/tex]
For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~
therefore correct choice is ~ C
[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]
The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
Recall:
Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.Thus, in the two triangles given, the two triangles has:
Two pairs of congruent sides - HI ≅ ML and IJ ≅ MNTherefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
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Algebra problem is in the picture attached. PLEASE HELP!
Answer:
Step-by-step explanation:
Use the figure to find the measure of
Answer:
m∠URV = 124°
Step-by-step explanation:
hope this helps
Answer:
what is the work to figure out the anwser?
Step-by-step explanation:
Due in 1 min please help!!!!!
;)
What is the domain of the equation shown in the graph?
Question options:
All real numbers
x= ≤ -1
x≥-1
x≤0
Answer:
All real numbers.
Step-by-step explanation:
The domain is the range of values of x.
The graph goes on without bounds to - infinity and positive infinity.
Will give brainliest i rlly need help
Answer:
1/6
Step-by-step explanation:
-3/4 - (-1/2) = - 1/4
-2/3 - 5/6 = - 3/2
-1/4 ÷ -3/2
Complete the tables of values. X 4â’x â’1 4 0 a 2 b 4 c a = b = c = x ( 2 3 ) x â’1 3 2 0 d 2 e 4 f d = e = f =.
The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively
Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]
If x = 0, then;
[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]
If x = 2
[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]
If x = 4;
[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]
Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively
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Answer:
a = ⇒ 1
b = ⇒ 1/16
c = ⇒ 1/256
d = ⇒ 1
e = ⇒ 4/9
f = ⇒ 16/81
Mrs. Hill went to get an oil change, because she has a 20% off coupon. If the oil change is 35.00, how much is the discount?
In problem #1, how much does Mrs. Hill have to pay?
Answer:
28.00
Step-by-step explanation:
