You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$8.75
$12.50
$80
$10.25
Answers
The expected value of the game is $8.75.
----------------------
The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.
32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.
The expected value is:
[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]
[tex]E = \frac{100 + 150 + 30}{32}[/tex]
[tex]E = \frac{280}{32}[/tex]
[tex]E = 8.75[/tex]
The expected value of this game is of $8.75.
A similar problem is given at https://brainly.com/question/24961584
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Answer:
Step-by-step explanation:
2 = 4/2 . 4/5 can not be a improper fraction
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Step by step please!
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Answer:
every number that is less than -1
Step-by-step explanation:
Mr. Thompson asked 50 students were about their
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607.5
.5 rounds up to 1
607+1=608
Answer:
608
Step-by-step explanation:
607.5 on a number line would be round 608
because 5 is rounded to 10 like that
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can someone help me with this quickly please
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Plug in -3 for f(x) into the first equation.
-3 = x^2 - 5x + 3
x^2 - 5x + 6 = 0
Factor!
(x - 3)(x - 2) = 0
Set each binomial equal to 0 to get the x-value of the point.
x = 3
x = 2
Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.
(3)^2 - 5(3) + 3
9 - 15 + 3
-6 + 3
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(2)^2 - 5(2) + 3
4 - 10 + 3
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Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)
Hope this helps!! :)
If DG≈FG,DE=3v, and EF=v+48, what is the value of v?
Answers
Answer:
Step-by-step explanation:
As DF is perpendicular to EG and DG = FG, then the two triangles are congruent and therefore DE will equal FE
DE = FE
3v = v + 48
2v = 48
v = 24
What is the measure of the angle formed by the minute hand and hour
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at 6 o'clock
at 4 o'clock
at 3 o'clock
PLEASE HELP ASAP PLEASE
Answers
Answer:
180 degrees, 120 degrees, 90 degrees
Step-by-step explanation:
each hour is 30 degrees.
at 6 o'clock the hands are straight, at 4 o'clock they make a 120 degree angle, and at 3 o'clock they make a right angle
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Answers
Sorry if I didn't understand the question right-
Answer:
[tex]\frac{49}{6}[/tex]
Step-by-step explanation:
The inverse of [tex]\frac{3}{7}[/tex] is [tex]\frac{7}{3}[/tex].
The inverse of [tex]\frac{2}{7}[/tex] is [tex]\frac{7}{2}[/tex].
Now we multiply:
[tex]\frac{7}{3}[/tex] × [tex]\frac{7}{2}[/tex] = [tex]\frac{49}{6}[/tex]
Hope this helped :)
Place the following numbers in order from least to greatest -4.5, -3 5/6, square root of 16, -8/3, -2 pie
Answers
Answer: -2 pi, -4.5, -3 5/6, -8/3, square root of 16
Step-by-step explanation:
The number which would be the smallest would be the largest negative number sense its farthest from 0 and the greatest would by the biggest positive number in this case being square root of 16.
square root of 16 is 4 sense (4 times 4 is 16)
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Ty
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Answers
Answer:
48
Step-by-step explanation:
setup a ratio using the length and perimeter then reduce it.
[tex] \frac{2}{8} [/tex]
reduces to
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the numerator is length and denominator is perimeter. setup the proportion
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cross multiply
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1 times p = p, so the answer is 48
I need to determine the perimeter of this rectangle 5cm x 9cm
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Answers
Answer:
5+5+9+9 = 28 cm
Step-by-step explanation:
to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)
Solve for c.
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C =
Help is highly appreciated thank u
Answers
Answer:
c= -4
Step-by-step explanation:
The number of words Latisha can text, y,
varies directly with x, the number of
minutes spent texting. If Latisha texted 180
words in 5 minutes, find k, the constant of
proportionality.
Answers
Answer for A it’s 24
Factories 16xy*2 +10xy
Answers
Answer:
[tex]16x {y}^{2} + 10xy \\ = 2xy(8y + 5) \\ 2xy = 0 \: or \: 8y + 5 = 0 \\ y = - \frac{5}{8} [/tex]
Which of the following statements describes the graph below?
PLS HELP.
Answers
Answer:
piecewise, continuous.
Step-by-step explanation:
This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous. I hope this helps!
It's offcourse piecewise
For continuity
Observe the graph
The domain is like
(-oo,1]U(1,2]U(2,oo)For close ineterval there is an open interval hence it's continuous
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Answers
Answer:
Pythagorean triple (PT) can be defined as a set of three positive whole numbers that perfectly satisfy the Pythagorean theorem: a2 + b2 = c2.
theorem: a2 + b2 = c2.
This set of numbers are usually the three side lengths of a right triangle. Pythagorean triples are represented as: (a, b, c), where, a = one leg; b = another leg; and c = hypotenuse.
There are two types of Pythagorean triples:
Primitive Pythagorean triples
Non-primitive Pythagorean triples
Primitive Pythagorean triples
A primitive Pythagorean triple is a reduced set of the positive values of a, b, and c with a common factor other than 1. This type of triple is always composed of one even number and two odd numbers.
For example, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies the
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
(3, 4, 5) → GCF =1
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25
(5, 12, 13) → GCF = 1
a2 + b2 = c2
52 + 122 = 132
25 + 144 = 169
169 = 169.
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4. Two pairs of related (x, y) values for a function are (-3, 9) and (-1, 13).
Find the slope and y-intercept, and write the equation of the function.
equation: __
slope: __
y-intercept: __
Answers
Step-by-step explanation:
Find the slope:
m = (13 - 9)/( - 1 + 3) = 4/2 = 2Find the y-intercept:
9 = 2(-3) + b9 = -6 + bb = 9 + 6b = 15The equation is:
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The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots
The equation is given as: [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] crosses the x-axis at approximately -2000 and 2000 between the domain -2500 and 2500
This means that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots
Read more about roots of an equation at:
https://brainly.com/question/12912962
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Answers
Answer:
15 mm = 1.5 cm
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48 mm = 4.8 cm
Liam's mom was getting ready to make dinner and
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Answers
Answer:
$0.96
Step-by-step explanation:
Take your cost and divide it by your amount.
$11.52/12 = 0.96
how do i do this, find the value of x in a circle
Answers
Answer:
x=25
Step-by-step explanation:
line st is the diameter so it equals 180º
so 3x-14+3x-14+2x+8=180 substitution
8x-20=180 combining like terms
+20 +20 singling out the variable
8x=200
÷8 dividing
so x=25 answer
Kim bought a blouse for $17.16, a skirt for $28.19, and a purse for $35.14. The sales tax was 12%. If she hands the clerk a $100 bill how much will she get back?
Answers
Based on the cost of her items, if Kim hands over $100, she will get back $9.85.
The total that Kim will pay includes the cost of all three items as well as the sales tax.
The total cost of the three items is:
= Blouse + Skirt + Purse
= 17.16 + 28.19 + 35.14
= $80.49
The total including the sales tax will be:
= Cost + (Cost x Sales tax)
= 80.49 + (80.49 x 12%)
= $90.15
The change she will get is:
= 100 - 90.15
= $9.85
In conclusion, Kim will get a change of $9.85.
Find out more at https://brainly.com/question/13706696.
What is the equation of the blue line
Answers
Answer:
y = - 3x - 1
Step-by-step explanation:
Slope = 3/-1 = -3 (rise/run)
y-intercept= -1
y = -3x - 1
An otter is swimming at - 4.2yo relative to the surface of the water. It dives 6.0 yds desper. After thedive, what is the otter's elevation relative to the surface of the water?.
Answers
Answer:
Where to look: Any waterway you’re near! River otters are happy in fresh, brackish and salt water. They’re often seen in coastal areas near the mouths of rivers and creeks. They’re often seen in marshes and wetlands. They’re a little harder to see in vegetated rivers but keep looking, especially when boating. They’re often found in lakes…look where the fish are. In-crowd hint: Check out our otter spotter map to see where they’re often reported!
When to look: River otters are most often seen at dusk and dawn, but can be seen at any hour of the day or night.
What do I look for? Look for large ripples on the surface of the water, lots of bubbles and a 3 to 4 foot-long animal with a long thick tail. The tail is about a third of the body length of the otter. Otters are dark and sleek in the water. Otters have a large black hairless nose (rhinarium).
How do otters swim and move? In the water, river otters do not swim on their backs like sea otters. They can swim along with just their heads showing, they can dive and roll and they often stay underwater for up to 15 or 20 seconds. They also “periscope,” meaning raise their necks far out of the water to see farther. When swimming, they usually carry their bodies just under the surface. They’re very elusive and can “disappear,” into the water, brush, rocks or under overhanging vegetation.
On land, river otters are agile, can run quickly and climb trees. They’re small and narrow-bodied, with longer back legs than forelegs, so they move with a humping gait. They’re often seen running across beaches, or along paths near water.
There’s a superb Otter/Beaver/Muskrat article with photos and descriptions here.
SEA OTTER (Enhydra lutris)
In California, sea otters are most often seen around Monterey Bay and Elkhorn Slough. Occasionally we see them in the SF Bay Area. Sea otters are twice the size of river otters, and are never far from the ocean. They have enormous back flippers, and often swim on their backs with their big flippers sticking out of the water. Their tails are short and not as muscular as river otters. They are clumsy on land.
This video by Tom Reynolds shows sea otters first, then river otters. The differences will become obvious!
MUSKRAT (Ondatra zibethicus)
Muskrats are rodents, about 18 inches long, with a thin tail. Like beavers, they swim straight across the water, with their backs at or slightly above water level, without diving and rolling, until it’s time to submerge.
Typical muskrat swimming; note the thin long tail.
Here’s a nice muskrat video.
BEAVER (Castor canadensis)
Beavers are rodents with large orange teeth. They have a very distinctive large, flat tail which slaps the water when they’re startled. Beavers are burly animals, and weigh about twice as much as river otters. Their fur is clumpy when wet. Like muskrats, their bodies are usually at or slightly above water level when they swim.
Here’s a gorgeous beaver, look at that tail!
Here’s our friend Heidi of Worth A Dam in a wonderful video showing the difference between otters and beavers.
HARBOR SEAL (Phoca vitulina)
Harbor seals are seen in the ocean, bays and marshes. They’re quite fat-looking, because they carry a large layer of fat on their bodies to keep them warm in cold waters. Harbor seals have very large heads and big dark eyes. They startle easily, and dive under water with an enormous splash if you surprise them while kayaking. They’re grayish, with mottled fur, sometimes paler gray toward white.
Here’s a fascinating video of a river otter protecting its prey from a curious harbor seal. Many thanks to the Sonoma County Water Agency for sharing with us!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which table represents a linear function? Mark this and return Save and Exit Next Submit
Answers
Answer:
The first table because the y side is increasing at the same rate . the rate is 4
a child has a collection of football cards. they are to be kept in a folder with 9 cards on each page.the child has 28 complete sets of 12 cards. how manypages will be needed to store the cardss?
Answers
Answer:
37.7
Step-by-step explanation:
HELP ASAP! Will award brainliest and crown
Answers
I believe the answer is 5x + 0 simply because the arrow on the graph.
Hope this was helpful :)
tan(-x) cos(-x) =
Simplify the expression
Answers
Answer:
- sin (x)
Step-by-step explanation:
hope this helps :)
Answer: tan(-x) cos(-x) = -sin(x)
Step By Step Explanation:
tan(-x) cos(-x)
Use the negative angle Identity to get:
Cos (x) (-tan(x))
Remove the parenthesis to get:
-Cos (x) tan (x)
Express with sin,cos to get:
-sin(x)
I got my explanation from www.symbolab.com
https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input
, Hope this Helps :)
Have a great day!!
