Based on the various probabilities of outcomes, the expected value of the investment is $2,400
The expected value can be calculated as:
= ∑ (Probability of event happening x Payoff if event happens)
The expected value here is therefore:
= (50% x 8,000) + (40% x -4,000) + (10% x 0)
= $2,400
In conclusion, the expected value is $2,400.
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HELP HELP PLEASE!!!
consider the function rule: f(x) = 9x -7
a. find f(4)
b. find f(-2)
c. show or explain how the equation 9x - 7 = 65 can be solved using an "undoing process". Report a solution to the equation.
Answer:
f(4)=29
f(-2)=-25
x=8
Step-by-step explanation:
a. to find f(4), you need to substitute x with 4...
f(4)=9(4)-7
f(4)=36-7
f(4)=29
b. This is the same for f(-2)
f(-2)=9(-2)-7
f(-2)=-18-7
f(-2)=-25
c. 9x-7=65
+7 +7 to cancel the 7 out and to isolate the x
9x=72
divide both sides by 9
x=8
So basically f(8)=65
Answer:
a. f(4) = 29
b. f(-2) = -25
c. x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Functions
Function NotationStep-by-step explanation:
Part A + B
Step 1: Define
Identify.
f(x) = 9x - 7
Step 2: Find
f(4)
Substitute in x [Function f(x)]: f(4) = 9(4) - 7[Order of Operations] Evaluate: f(4) = 29f(-2)
Substitute in x [Function f(x)]: f(-2) = 9(-2) - 7[Order of Operations] Evaluate: f(-2) = -25Part C
Step 1: Define
Identify.
9x - 7 = 65
Step 2: Solve for x
[Addition Property of Equality] Add 7 on both sides: 9x = 72[Division Property of Equality] Divide 9 on both sides: x = 8A sequence of numbers is shown below :
1 5 9 13 17
explain why 95 will not be a term in this sequence
Answer:
95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern
95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given sequence of numbers is,
1, 5, 9, 13, 17, .....
The first term of the given sequence a₁ =1,
From the given sequence, the common difference pair of two consecutive terms d = 4,
Let nth term of the sequence aₙ= 95,
By arithmetic sequence formula,
aₙ = a₁ + (n-1).d
Substitute the value of aₙ and d,
95 = 1 + (n-1).4
94 = (n-1). 4
(n-1) = 23.5
n = 24.5
The value of n can't be decimal, so 95 can't be a term of the given sequence.
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please I need help immediately
Answer:
Step-by-step explanation:
4x+6<= -54
4x <= -60
x <= -15 [The point -15 is included, so it must be a solid dot]
----------------
5x + 7 > -18
5x > -25
x > -5 [The point -5 is NOT included, so it should be an empty dot.]
Solution C seems the best.
y=-2x-3
y=2x-1
y=x+4
y=-x+ 2
y=-2x-3
y=x+4
y=2x-1
y=-x+ 2.
W X Y Z
match each point if intersection with system of equations whose
Solution at the point
Which correlation coefficient best matches the graph?
Answer:
c)
Step-by-step explanation:
the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.
Write the equation of the line that passes through the points (-1,3) and (-1,-9).
Answer:
The equation of the line is x=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-3)/(-1-(-1))
m=-12/(-1+1)
m=-12/0
undefined.
Since the slope is undefined,
it follows that this is a vertical line with the equation x=-1.
Kaya is riding her dirt bike eastward on a dirt road. She spots a pothole ahead. Kaya slows her car from 18.0 m/s to 6.5 m/s in 6.5 s. What is her acceleration?
What are the coordinates of the point on the directed line segment from (-4,-1) to (6,4) that partitions the segment into a ratio of 3 to 2?
Using proportions, it is found that the coordinates of the desired point are (2,2).
The first point is A(-4, -1).The second point is B(6, 4).The desired point is C(x,y).The point C partitions the segment AB into a ratio of 3 to 2, hence:
[tex]C - A = \frac{3}{5}(B - A)[/tex]
This proportion is applied using both the x and y coordinates of the points, hence:
[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]
[tex]x + 4 = 6[/tex]
[tex]x = 2[/tex]
[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]
[tex]y + 1 = 3[/tex]
[tex]y = 2[/tex]
The coordinates of the desired point are (2,2).
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Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?
Answer:
the jar of peanut butter is $2.36
Step-by-step explanation:
Answer: $2.36
Step-by-step explanation:
the EM wave emitted by the sun and responsible for heating the Earths atmosphere due to green house effect is
Pls help as I will give a 5 star rating thanks!!!!! :)
Answer:
Scale is 1/2
Step-by-step explanation:
5*1/2=5/2
12*1/2=6
The average laundry worker folds five
towels in a minute, but Miss Parker
folds eight! At the end of an hour,
how many more towels has she
folded than the average worker?
Answer:
Miss Parker folded 180 more towels than the average laundry worker
Step-by-step explanation:
5 multiplied by 60 gives you the average laundry worker- 5x60=300 towels per hour. Miss Parker can fold 8 per minute so you do 8 multiplied by 60 which would give you her average- 8x60=480. To find how many more towels she has folded than the average luandry worker you subtract miss Parker’s total from the average laundry person’s total giving you- 480-300=180
_ ➗ 9 = 7
Find the missing number
Answer:
Hi the answer is x=63
x/9=7
multiply both sides by 9
(x/9)*(9)=(7)*(9)
therefore 63 is the missing number
Find the value of x, y, and z, in the rhombus below.
Answer:
x = 19, y = -7, z = -18
Step-by-step explanation:
Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.
2x - 9 = 29
2x = 38
x = 19
-3y + 8 = 29
-3y = 21
y = -7
-2z - 7 = 29
-2z = 36
z = -18
The value of the variables x, y, and z will be 19, -7, and -18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
All the sides of the rhombus are congruent with each other.
Then the equations are given below.
2x - 9 = 29
-3y + 8 = 29
-2z - 7 = 29
Simplify the first equation, then we have
2x - 9 = 29
2x = 38
x = 19
Simplify the second equation, then we have
-3y + 8 = 29
3y = - 21
y = -7
Simplify the third equation, then we have
-2z - 7 = 29
2z = - 36
z = - 18
The value of the variables x, y, and z will be 19, -7, and -18, respectively.
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k + a/6 = 3k help b4 i cry my eyes out :’/
Answer:
Hope I explain it well!
Step-by-step explanation:
k + a/6 = 3k
well, I am not sure if we need to find the a, or the k, so lets find both!
--
First the a:
k + a/6 = 3k (subtract k)
a/6 = 2k (Multiply by 6)
a = 12k
--
Last, the k:
k + a/6 = 3k (Subtract k)
a/6 = 2k (Divide by 2)
a/12 = k
--
There you go, I hope you figure it out <3
13)The final grade on your math exam was determined by the function f(x) = 100 - 2x. Which statements are correct?
A) 100 is the maximum grade,
B) y equals your final grade..
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems
Answer:
A, B, D
Step-by-step explanation:
from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).
-
5. Tanya wants to subtract 62 - 48. What are some
ways she can find the difference? Choose a way
and show the work needed to find the difference
PLEASE HELP! ILL GIVE BRAINLIEST!I! I uploaded a picture below.
Answer: The answer is 3 basic toppings and 2 premium toppings.
What is 4x+3x? Write solution.
Answer:
7x
Step-by-step explanation:
4x ( linear function) + 3x ( linear function) = 7x
[tex]\huge\boxed{Hello!:)}[/tex]
Combine like terms:
4x+3x=7x
Remember, we can add terms with the same variable together, but we can't add terms with different variables.
[tex]\huge\boxed{Hence,\:the\:answer\:is\:7x.}[/tex]
[tex]\huge\underline{Hope\:it\:helps!}[/tex]
[tex]\boxed{DreamyGal\:here\:to\:help!:)}[/tex]
Nathan uses ¼ cup of water for every ½ cup of lemon juice to make lemonade. Enter the number of cups of water Nathan uses for 1 cup of lemon juice. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER.
I think it should be 1/2 cup water. Sorry if I'm wrong
Can someone help me, please? :((((
Answer:
C 132 square units
Step-by-step explanation:
. Happy Friday
suppose y varies directly as x. suppose also that y=34 when x=17. find y when x=56.
Answer:
112
Step-by-step explanation:
We can write the equation for the direct variation:
y = kx
34 = k(17)
34/17 = k = 2
Then for the new x-value:
y = 2(56) = 112
The value of y is 112 when x = 56.
__
Or, we can write the relation as a proportion:
y/56 = 34/17
y = 56(34/17) = 112
What is m<1?
60
120
66
114
Answer:
60 Is the correct answer
Answer:
114
Step-by-step explanation:
all angles of a triangle add up to 180
180-80-34 = 66
66 is the angle right next to 1
180 degrees will be the product of both of those angles
180-66 = 114
114 degrees
Draw the graph of y= -6
Answer:
See attachment.
Step-by-step explanation:
Write an explicit formula for a_nth term of the sequence 18, 6, 2, ...
Answer:
Step-by-step explanation:
Y=x2+3x+1
when х= 5, y=?
Answer:
y = 41
Step-by-step explanation:
Substitute x = 5 into the equation
y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41
One serving of ice cream has 320 calories. If there are 6 servings in the container and you ate of the container, how many calories did you eat?
Answer: You ate 1920 calories
Step-by-step explanation:
It’s pretty simple,
all you have to do is multiply 6 by 320.
this then gets you 1920
Answer:
1920 calories
Step-by-step explanation:
6servings*320cal/servings = 1920cal (servings cancel)
Fred mixes 3 1/2 cups of flour, 1 1/4 cups of sugar, 2/3 cup of rye flour, and 1/3 cup of wheat flour. Will the ingredients fit into a 6-cup bowl?
find the derivative of x³/tanx
Answer:
Below.
Step-by-step explanation:
We apply the quotient rule:
dy/dx = ( tanx * 3x^2 - x^3 * sec^2x) / (tan^2 x)
= x^2( 3tanx - xsec^2x) / tan^2x
There are 70 seats on a train. 30% of the seats are empty. How many empty seats are there
on the train?
Answer:
21
Step-by-step explanation:
70/10=7
So 7 people are 10% of the train.
10*3=30
7*3=21
21 empty seats
Answer
21
Step-by-step explanation: