Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
Solve this equation for a:
–5 + 4a = 27
Answer:
a=8
Step-by-step explanation:
solve for a by adding 5 on both sides
4a=32
Now divid 4 on both sides
a=8
34 is 68% of what number?
33 divided by a number Q.
Answer:
33/Q?
Step-by-step explanation:
im confused on what the problem is
(a + 1)(a + 2) = 0 solve quadratic equation by factoring
Answer: a^2+3a+2
Step-by-step explanation:
if you do the distribution method and do (a*a)+(a*2)+(1+a)+(1*2)=(a^2)+(2a)+(a)+(2)
which you get a^2+3a+2
What is the equation of the line that passes through the point (−2,−6) and has a slope of -3/5
Answer:
y= -3/5 x -7.2
Step-by-step explanation:
-6 = 6/5 + b
b= - 7.2
Josh started washing at 4:07 PM and finished at 5:31 PM. How long did it take him? Give your answer in hours and minutes?
Convert the following repeating decimal into a fraction
_
0.16
Answer: 0.16 converted to a fraction is 4/25
Which is an x-intercept of the graph of the function Y = Cot(3x)?
Answer:
A on ed 2021
Step-by-step explanation:
if you go on Desmos graphing calculator and graph y = cot(3x)
then graph the points
A. (pi/6, 0)
B. (pi/3, 0)
C. (3pi, 0)
D. (6pi, 0)
POINT A. (pi/6, 0) is the only point that intercepts the graph
The x-intercept of the graph of the function y = cot(3x) is ,
⇒ (π/6, 0)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Here, The graph of the function is given as:
y = cot(3x)
Now, To determine the x-intercept of the graph, we set the graph to 0.
So, we have:
cot(3x) = 0
Take the arccot of both sides;
3x = arccot(0)
Evaluate the arccot of 0
3x = π/2
Divide both sides by 3
x = π/6
Hence, the x-intercept of the graph of the function y = cot(3x) is
⇒ (π/6, 0)
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can i have help please
Answer:
A
Step-by-step explanation:
Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answer:
Because 8x6 gives you the same figure.
Step-by-step explanation:
Evaluate f (x) = 3(2)^x for x = -1
Answer:
3/2 or 1.5
Step-by-step explanation:
3(2−1)
=3(
1
2
)
=
3
2
The value of 3(2)ˣ for x = -1 is 3/2
What is simplification?In mathematics, simply or simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.
Given is a function, f(x) = 3(2)ˣ
When x = -1
f(-1) = 3(2)⁻¹
f(-1) = 3x2⁻¹
f(-1) = 3x1/2
f(-1) = 3/2
Hence, The value of 3(2)ˣ for x = -1 is 3/2
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What is the answer pls help
Rewrite the product using the Distributive Property. Then simplify.
1) 2(4 + 7)
2) 3(1/3 - p)
Answer:
[tex]2(4 + 7) = 22[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]
Step-by-step explanation:
Given
1 & 2
Required
Rewrite and simplify
[tex]1.\ 2(4 + 7)[/tex]
Apply distributive property
[tex]2(4 + 7) = 2 * 4 + 2 * 7[/tex]
[tex]2(4 + 7) = 8 + 14[/tex]
[tex]2(4 + 7) = 22[/tex]
[tex]2.\ 3(\frac{1}{3} - p)[/tex]
Apply distributive property
[tex]3(\frac{1}{3} - p) = 3*\frac{1}{3} - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = \frac{3}{3} - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]
Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4
Step-by-step explanation:
sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3
PLEASE HELP IM TIMED whats 1 divded by 1
Answer:
1
Step-by-step explanation:
1 divided by anything is that number. So with that information 1 divided by on would be 1.
Help plz:)))I’ll mark u Brainliest
Answer:
11, 21, 31
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
21,
11,
31
The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second test is 6 less than the score on the first test. What is the score on the first test?
Answer:
84
Step-by-step explanation:
Let x = the test
(x + x + ( x - 6))/3=82
((3x - 6)/3) • 3= 82 • 3
3x - 6 + 6 = 246 + 6
3x = 252
3 3
x = 84
Which of the following is NOT a level of measurement? nominal ratio qualitative ordinal
Answer:
Nominal.
Step-by-step explanation:
The option that is NOT a level of measurement is qualitative.
With qualitative, numbers are not assigned to the measurement.
A level of measurement classifies and relates values to variables. Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.
Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.
Thus, qualitative is not a recognized level of measurement.
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Which of the following shows the Commutative Property of Multiplication?
A) 4x5=5x4
B) 4×(5+ 8) = (4 × 5) + (4 x 8)
C) 3 x 2) × 7 = 3 ×(2 x 7)
D) 9×7 = 63
The options that shows the Commutative Property of Multiplication is:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
------------------------------
The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:[tex]a \times b = b \times a[/tex]
From the options, the ones which shows it are:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
In C), on the left-side, first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.
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One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which can seat a total of 14 people. The second group asked for 2 sedans and 2 minivans, which can seat a total of 20 people. How many passengers can each type of taxi seat? Write a system equation of the this.
Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:
[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]
Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:
[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]
Verify that the solution pair [tex](4, 6)[/tex] works:
[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]
Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
Is Mikasa less than or equal to Levi
This is math I promise
Answer:
less than because levi is one of the most skilled
Answer:
She is less than Levi
Step-by-step explanation:
Levi has literally decades more experience of fighting titans than Mikasa. Also, as revealed in the latest chapters, both are part of the Ackerman family which was the product of titan experiments. Also, five seconds don't really help Mikasa. So, yeah, Levi wins, no doubt.
Leon is interested in the relationships among geographic region and political affiliation. Leon collected data about the political parties of US senators at that time and the regions of the US that they represent. His results are in the table below.
Answer: Given that the senator is an independent, it is certain that the senator represents the north east
Answer 2: given that the senator represents the southeast, it is likely that the senator is in the Republican Party
Step-by-step explanation: I did the khan and trial and error
Answer:
Step-by-step explanation:there are 2 answers C and D
Which Expressions are equivalent to:
3(2/3p + 3 - 1/3p - 5)
Picture is provided
Answer:
the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)
Answer:
3 (1/3p+3-5), p-6, 3(1/3p-2)
Step-by-step explanation:
I did the iready quiz and got it correct.
4km : 370m in simplest form
Answer:
2km to 185 meters
Step-by-step explanation:
Decide if the statement is true or false.
7 is a solution of - 4x = -28.
True
Divide by -4 on both sides and you're left with x=7
Find the value of each variable for y and z
Answer:
y = 102° , z = 75°
Step-by-step explanation:
Assuming this is geometry, you must find the value of 'z' first.
Using the [Supplementary Angles Theorem] for 'z' :
105° + z = 180°
Solve for z.
z = 75°
You may also hear that those two angles are a 'Linear Pair'
Then using the formula for: [Sum of Internal Angles]
Which is: sum = (n-2) * 180° where 'n' is the number of sides
The total sum of internal angles of a quadrilateral is 360°
Now knowing 3 of the 4 interior angles, you can just do arithmetic:
99° + 84° + 75° + y = 360°
Simplify:
258° + y = 360°
Therefore:
y = 102°
2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.
The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.
Probability for getting head or tell:
P(h) = 1/2
P(t) = 1/2
The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's
Probability for getting letter P:
P(getting letter P) = 1/12
P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24
P(tails) = 1/2
P(getting a vowel) = 6/12 = 1/2
P(tails then a vowel) = (1/2)(1/2) = 1/4
P(tails then N) = (1/2)(2/12) = 1/12
P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6
Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
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Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz
Answer:
a) 4
b) 1
c)2
Step-by-step explanation:
a) 5y - y
= 5 - 1
=4
b) 3×1×1 + 2×1 + 3×0×0
= 3 - 2 + 0
1
c) 2×1×1 - 3×1×1×0
= 2 - 0
= 2
In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.
We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."
Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.
please help 100points!!!!
And I will make brainiest
only if there is a good explanation.
Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.
Step-by-step explanation:
PLEASE HELP ASAP, MARKING BRAINLIEST! (Read the whole thing please)
Answer:
$288
Step-by-step explanation:
to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem
16² + 12² = c²
256 + 144 = c²
400 = c²
20 = c
Area of one eave = 24 x 20 = 480
Area of total roof = 480 x 2 = 960
set up a proportion to find cost ('x'):
30 = x
100 960
cross-multiply: 100x = 28800
x = $288