The expected value of the game is the mean value of the game
The expected value of the game is $1
How to determine the expected value?There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
[tex]E(x) = \frac 14 * 7 - 1 * \frac34[/tex]
Simplify
[tex]E(x) = \frac 74 - \frac34[/tex]
Evaluate
[tex]E(x) = 1[/tex]
Hence, the expected value of the game is $1
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100 PTS AND BRAINLIEST WRONG ANSWERS REPORTED
The function p(w)=230(1.1)^W represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.
Answer:
40; 0.1 and 0.16
Step-by-step explanation:
a. We know that p(w)=230(1.1)^W represents the number of specialty items produced at the old factory.
This equation is in the form of an exponential growth function:
f(x)=a(1+r)^x
where a is the initial value, r is the growth rate, and x is the number of time intervals.
That means that for p(w)=230(1.1)^W:
230 is the initial value, and 0.1 is the growth rate. (1.1-1)
Therefore, for week 0, there were 230 specialty items produced at the old factory.
We can also plug in 0 for w (0 time intervals) to get the same answer
That would look like:
p(0)=230(1.1)^0
p(0)=230(1)
p(0)=230
On the other hand, for the new factory, if you go find 0 on the x-axis, you'll notice that 190 specialty items were produced in week 0.
230-190=40
This means that our answer for a is that 40 more specialty items were produced at the old factory than the new factory.
_____
b. Our first step for this question would be to find the equation for the graph.
We can immediately recognize that this is an exponential growth function, similar to the other equation.
As a reminder, exponential growth functions are in the form: f(x)=a(1+r)^x
We can put it in terms of production and weeks:
p(w)=a(1+r)^w
We know that the initial value is 190 by the graph.
p(w)=190(1+r)^w
Now we just need to find the growth rate:
We can do this by choosing a value (other than the first point) and plugging it in. Let's use (1, 220) which is in the form (w, p)
Plug it in to the equation:
220=190(1+r)^1
220=190(1+r)
Distribute
220=190+190r
Subtract 190 from both sides
30=190r
Divide 190 from both sides
r=0.1578947368 (round how your teacher asks)
Next, all we have to do is find the growth rate for the old factory:
p(w)=230(1.1)^W
1.1=1+r
Therefore, r=0.1
The growth rate at the old factory is 0.1.
When comparing them, we'll realize that the growth rate at the new factory is about 0.06 higher.
#1
For old factory
p(w)=230(1.1)^wSo
week =0[tex]\\ \rm\dashrightarrow p(0)=230(1.1)^0=230(1)=230[/tex]
For nEW factory
On graph y intercept is 190Difference:-
230-190=4040 items were more produced
#2
For old factory
Turn it to p(1+r)^t form where r is rate of change[tex]\\ \rm\dashrightarrow 230(1+0.1)^t[/tex]
Growth rate is 0.1For new factory
(0,190)(1,220)Find slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{220-190}{1}=30[/tex]
Find growth rate
m/b(b is y intercept)30/1903/190.16New factory has greater growth rate
8. Triangle JKL is located at J(4,5) K17, 1) L(1,
1). A transformation occurred and now the
triangle is located at J(-4,5) K(-7,3)
L(-1, 1). What transformation occurred?
Answer:
a bit of a room for the television and then we you too I am really sorry for the television and then we you too I love you too I will be there in about you guys see you tomorrow at 7 in the middle to buy a house in the middle of the night guys see you tomorrow at 7 in the middle of the night
5
volume of the solid figure.
7 yd 3 yd
4 yd
1 yd
12 yd
9 yd
4 yd
8 yd
lume is
Answer:
Hope the picture will help you.Make sure to mark me brilliant
How can i find the answer to this question: simplify (7^5)^3
Answer:
Option D
Step-by-step explanation:
Given the following question:
[tex](7^5)^3[/tex]
To find the answer we simply have to apply the exponent rule and multiply the exponents.
[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]
Your answer is "7^15" or option D.
Hope this helps.
Answer:
7^15
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7^5^3
7^(5*3)
7^15
There is exactly 1 pair of parallel sides. 6 3 9
Answer:
Step-by-step explanation:
The given properties of one pair of parallel sides in the four sided
quadrilateral, indicates that the shape is a trapezium.
Response:
The area of the shape is 35 square unit
Area of trapezoid
1/2(Sum of parallel sides)(Height)1/2(6+9)(3)1/2(15(3))12(45)22.5units^2Find the degree of the polynomial.
– 3x^6 +2x^3 +x^7 +5
Help pls
Answer:
The degree of the polynomial [tex]-3x^{6}+2x^{3} +x^{7} +5[/tex] is 7
Step-by-step explanation:
The degree of a polynomial is the largest power a variable is taken to in an expression. Since the largest exponent in this polynomial is 7, that is the degree of the polynomial.
Answer:
7
Step-by-step explanation:
The degree of a polynomial is the highest exponent in a polynomial.
Standard Form
To find the degree, it is easiest to first write the polynomial in standard form. Standard form is when the terms' exponents are written from greatest to least.
This means that the standard form is [tex]x^7-3x^6+2x^3+5[/tex]Degree
From the standard form, it is obvious that the degree is 7. Any time the polynomial is written in standard form, the first term's exponent will be the degree of the whole polynomial.
A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train travels
52 mph faster than the first. If the second train overtakes the first at 6:00 PM, what is the speed of each of the two trains?
Answer: First train speed shall be 42 mi/hr
Second train speed shall be 84 mi/hr
Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.
Step-by-step explanation:
What is the 1st train's head start in miles?
Let +s+ = the speed of the 1st train in mi/hr
From 2PM to 4PM is 2 hrs
+d%5B1%5D+=+s%2A2+
---------------------
Let +d+ = distance the 2nd train travels until
it overtakes the 1st train
From 4PM to 6PM is 2 hrs
Start time when the 2nd train leaves
---------------------
Equation for 1st train:
(1) +d+-+2s+=+s%2A2+
Equation for 2nd train:
(2) +d+=+%28+s%2B42+%29%2A2+
--------------------
Substitute (2) into (1)
(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+
(1) +2s+%2B+84+-+2s+=+2s+
(1) +2s+=+84+
(1) +s+=+42+
and
+s%2B+42+=+42+%2B+42+
+s+%2B+42+=+84+
------------------
The 1st train's speed is 42 mi/hr
The 2nd train's speed is 84 mi/hr
---------------------------
check:
(2) +d+=+%28+s%2B42+%29%2A2+
(2) +d+=84%2A2+
(2) +d+=+168+
and
(1) +d+-+2s+=+s%2A2+
(1) +d+-+2%2A42+=+42%2A2+
(1) +d+=+84+%2B+84+
(1) +d+=+168+
Huntington Medical Center purchased a used low-field MRI scanner 2 years ago for $445,000. Its operating cost is $350,000 per year and it can be sold for $150,000 anytime in the next 3 years. The Center’s director is considering replacing the presently owned MRI scanner with a state-of-the-art 3 Tesla machine that will cost $2 million.The operating cost of the new machine will be $280,000 per year, but it will generate extra revenue that is expected to amount to $550,000 per year. The new unit can probably be sold for $875,000 3 years from now. You have been asked to determine how much the presently owned scanner would have to be worth on the open market for the AW values of the two machines to be the same over a 3-year planning period. The Center’s MARR is 10% per year.
The worth of the old scanner machine in the open market will be $86601.60.
How to calculate the worth on open market?To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.
The calculation of the worth of the scanner goes thus:
Let the worth be represented by x.
x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)
= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50
0.4021x = 34822.50
Divide by 0.4021
x = 34822.60/0.4021
x = 86601.60
Therefore, the worth is $86601.60.
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-b+10b+2b+17=6 please help me
Answer:
-1
Step-by-step explanation:
-b+10b+2b+17=6
9b+2b+17=6
11b+17=6
11b=6-17
11b=-11
b=-1
i need help with this problem
Step-by-step explanation:
Pythagoras theorem
16²=7²+a²
a²=16²-7²
a²= 256 -49
a²=207
a=√207
a=14.38
a≈14.4 in. (approx)
Answer:
Step-by-step explanation:
As it is a right angle triangle, we can use Pythagorean theorem to find a
base² + altitude² = hypotenuse²
7² + a² = 16²
49 + a² = 256
a² = 256 - 49
a² = 207
a = √207
a = 14.4 in
Jack had m math problems to complete during his vacation. He solved the same number of problems everyday and finished them all in 5 days. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework
Jack's problems illustrates algebraic expressions
He solved m/5 problems everyday.75 questions were assigned in totalNumber of problems solved per dayThe given parameters are:
Problems = mNumber of days = 5The number of questions solved per day is calculated as:
Daily = Days/Problems
So, we have:
Daily = m/5
Number of problems in the assignmentWe have:
Daily = m/5
He solved 15 daily.
So, the equation becomes
m/5 = 15
Multiply both sides by 15
m = 75
Hence, 75 questions were assigned in total
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Describe how to find the sale price of an item that has been discounted 15%
Pls show work I can't understand
Answer:
I don't think that is possible because absolute value cant equal negative number, symbol would be ∅ if that is true
Step-by-step explanation:
i don't have one
Need Help Asap!!
[tex] \: \: \: \: [/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's check I the given pairs of triangles are congruent or not ~
problem 1[tex]\qquad \sf \dashrightarrow \:ABC \cong FED[/tex]
These triangles are congruent by SSS congruency, as it's three sides are equal.
・ ．━━━━━━━†━━━━━━━━━．・
problem 2[tex]\qquad \sf \dashrightarrow \:LMN \not \cong PQO[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
These triangles are not congruent because they don't fulfill any congruency criteria.
problem 3[tex]\qquad \sf \dashrightarrow \: XVW \cong YZA [/tex]
These triangles are congruent by AAS congruency criteria, since two angles and one of the side is common.
・ ．━━━━━━━†━━━━━━━━━．・
problem 4[tex]\qquad \sf \dashrightarrow \: GHI \not \cong IJG [/tex]
These triangles are not congruent because they don't fulfill any criteria.
・ ．━━━━━━━†━━━━━━━━━．・
problem 5[tex]\qquad \sf \dashrightarrow \: PQR\cong QPO[/tex]
These triangles are congruent by SSS congruency, as it's two sides are equal and one side is common.
・ ．━━━━━━━†━━━━━━━━━．・
problem 6[tex]\qquad \sf \dashrightarrow \: JIK \cong HIG [/tex]
These triangles are congruent by SAS congruency, since two sides and Angle between them are equal.
・ ．━━━━━━━†━━━━━━━━━．・
Problem 7These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.
・ ．━━━━━━━†━━━━━━━━━．・
problem 8[tex]\qquad \sf \dashrightarrow \: BCD \cong FED [/tex]
These triangles are congruent by ASA congruency, because they have one pair equal angles, one pair of vertical opposite angles (they are equal) and a side between them equal.
・ ．━━━━━━━†━━━━━━━━━．・
problem 9[tex]\qquad \sf \dashrightarrow \: LKM \cong LNM [/tex]
These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.
What is the length of the fourth side?
Choose...
Answer:
6
Step-by-step explanation:
to find the perimeter of a trapezoid you add all the sides together
therefore we do it backwards
24-3-6-9=6
Solution :-
We know that perimeter is the sum of all sides, and here we have been provided with perimeter and the length of three sides. Now, we can assume the length of other side as any variable, say x. And develop a linear equation, and solve it. Thus,
A/Q,
→ 3yd + 6yd + 9yd + x = 24yd
→ 18yd + x = 24yd
→ x = 24yd - 18yd
→ x = 6yd
Thus, the length of the fourth side is 6yd.
Hope that helps :)
What is the radius r of a circle with the circumference C of length 48.6 m
Answer:
r = 24.3/π m
r = 7.73 m
Step-by-step explanation:
C = 2πr
48.6 m = 2 × π × r
r = 48.6/(2π) m
r = 24.3/π m
r = 7.73 m
Solve the following equation:
3 x one half
==========================================================
Let's simplify the expression:-
[tex]\bigstar{\boxed{\frac{3}{1} *\frac{1}{2}}[/tex]
Multiply 3 times 1 and 1 times 2:-
[tex]\bigstar{\boxed{\pmb{\frac{3}{2} }}[/tex]
======================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
What would be the formula for this?
Answer:
ba/2+bd/2+cd, in this case the area is 46
Step-by-step explanation:
The formula for this would simply be the area of the trapazoid plus the area of the rectangle.
The area of a trapazoid(in this case) is b(a+d)/2
The area of the rectangle is cd
Adding these you get ba/2+bd/2+cd
In this case the area is 46
A wire is first bent into the shape of a triangle. Each side of the triangle is 16 long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 15 in, what is its width?
Answer:
the width is 9in
Step-by-step explanation:
perimeter of triangle =3×16 = 48
let w= width of rectangle
perimeter of triangle = perimeter of rectangle
48= 2(15 +w)
24= 15 + w
w= 9
31
33
34
35
= 36
37
38
39
A certain loan program offers an interest rate of 8%, compounded continuously. Assuming no payments are made, how much would be owed after four years on
a loan of S2900?
Answer:
no sure about the answer
A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent.
How many liters of laundry detergent in all are in the closet?
180 L
63 L
41 L
20 L
Answer:
A
Step-by-step explanation:
Find the number of bottles in 5 cases:
5 × 12 = 60
Find the number of liters in 60 bottles:
60 × 3 = 180
180 liters of laundry detergent
Is the following statement true or false? If the statement is false, explain.
Most of the funding for research comes from the government.
(1 point)
Answer:
The stament is false. Although the government deos fund research, most of the funding for research is from corporations
Step-by-step explanation:
I am sorry if it's wrong but I think that's the correct answer but read this first
Most research funding comes from two major sources, corporations (through research and development departments) and government (primarily carried out through universities and specialized government agencies; often known as research councils).
State and Local Taxes
1. Higher-income individuals are more likely to afford their standard of living and can afford to pay more in taxes.
2. Yes, 32 of the 41 states that tax wages use a graduated scale for the individual income tax.
3. sales tax, meals tax, hotels tax, excise tax, and tolls
4. federal payroll tax
5. A levy paid to a local government by a landowner, a homeowner, or a business that owns real estate.
100% if you put these answers.
can some help me figure this out
Answer:
e
Step-by-step explanation:
e
f(x)=3x^2-5x+3
f(-2)=
f(-1)=
f(0)=
f(1)=
f(2)=
Answer
answer is 19
Step-by-step explanation:
hope it's help
Choose true or false:
y = 9 is the solution of y + 9 = 0
Please help. this is a end- of- year school test.
I appreciate it! ^^
Answer:
False.
Step-by-step explanation:
y+9=0
y=-9
hope you have a good day/night! :)
Zahra is looking at a map of a park that has
a scale of 3 in. to 200 ft.
On the map, each side of the park is 6
inches long.
Zahra's distance to the park is 500 feet.
How long would this distance be on the
map?
Answer:
7.5 inches
peeeee
First try was incorrect
A bag has 5 green rocks, 6 speckled rocks, and 7 yellow rocks. You
randomly pull a rock from the bag, put it back, and then pull out
another one
What is the probability of not getting a speckled and then not getting a
green? Write your answer as a percent rounded to the nearest whole
number.
Symbol required
Answer:
48%
Step-by-step explanation:
P (not getting a speckled rock) = 12/18 = 2/3
P (not getting a green rock) = 13/18
2/3 * 13/18 = 26/54 = 13/27 ≈ 48%
pls help quick!!
10 points
Answer:
The angle B = 70°
Step-by-step explanation:
The sum of angles of a triangle is 180°
=> 40°+(2x-30)°+(x+20)° = 180°
=> 40°+2x°-30°+x°+20° = 180°
=> 30°+3x= 180°
=> 3x = 180°-30°
=> 3x = 150°
=> x = 150/3
=> x = 50°
So,the value of x = 50°
now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°
Which table models the graph shown below? HELP PLS
Answer:
A?
Step-by-step explanation:
I honestly am guessing here but i think its A take my answer with a grain of salt
Rewrite the expression 2 square root X•4x^-5/2 in the form k•x^n
Answer:
(4x)
2
=16×x
2
Step-by-step explanation:
hope it's help