Answer:
[tex]x = 7.142(appx)[/tex]
Step-by-step explanation:
[tex]14x + 18 = 118[/tex]
[tex] = > 14x = 118 - 18 = 100[/tex]
[tex] = > x = \frac{100}{14} = \frac{50}{7} = 7.142(appx)[/tex]
Suppose that from a standard deck, you draw three cards without replacement. What is the expected number of spades that you will draw
Answer: The expected number of spades that you will draw is 0.751 spades
Step-by-step explanation:
The expected value can be calculated as:
∑xₙ*pₙ
Where xₙ is the n-th event, and pₙ is the probability of that event.
First, let's count the possible events and calculate the probability for each one.
x₀ = drawing 0 spades.
Out of 52 cards, we have only 13 spades, then 52 - 13 = 39 are not spades.
Then the probability of not drawing a spade in the first draw is:
p1 = 39/52
In the second draw we will have a card less than before in the deck (so we have 38 cards that are not spades, and 51 cards in total), then the probability of not drawing a spade is:
p2 = 38/51
And with the same reasoning, in the third draw the probability is:
p3 = 37/50
The joint probability for this event will be:
p₀ = p1*p2*p3 = (39/52)*(38/51)*(37/50) = 0.413
Second event:
x₁ = drawing one spade.
Let's suppose that in the first draw we get the spade, the probability will be:
p1 = 13/52
In the second draw, we get no spade, then the probability is:
p2 = 39/51
in the third draw we also get no spade, the probability is:
p3 = 38/50
And we also have the case where the spade is drawn in the second draw, and in the third draw, then we have 3 permutations, this means that the probability of drawing only one spade is:
p₁ = 3*p1*p2*p3 = 3*(13/52)(39/51)*(38/50) = 0.436
third event:
x₂ = drawing two spades:
Let's assume that in the first draw we do not get a spade, then the probabilities are:
p1 = 39/52
p2 = 13/51
p3 = 12/50
And same as before, we will have 3 permutations, because we could not draw a spade in the second draw, or in the third, then the probability for this case is:
p₂ = 3*p1*p2*p3 = 3*( 39/52)*(13/51)*(12/50) = 0.138
And the last event:
x₃ = drawing 3 spades.
The probabilities will be:
p1 = 13/52
p2 = 12/51
p3 = 11/50
And there are no permutations here, so the joint probability is:
p₃ = p1*p2*p3 = (13/52)*(12/51)*(11/50) = 0.013
Now we can calculate the expected value:
EV = 0*0.413 + 1*0.436 + 2*0.138 + 3*0.013 = 0.751
The expected number of spades that you will draw is 0.751 spades
Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?
Answer:
9 cm
Step-by-step explanation:
2.5x4=10
plis help
Find the distance from the origin to the graph of 6x+3y+2=0
a.
0.33
b.
0.31
c.
0.3
d.
0.32
Answer:
Step-by-step explanation:
B is the answer
Which of the following was included in the “Declaration of the People”?
Texians wanted the Constitution of 1824 reestablished.
Texians wanted George Washington to be president instead of Santa Anna.
Texians considered themselves independent from Mexico,
The people of Texas want more restaurants.
Answer:
C
Step-by-step explanation:
Texas was not around during George Washington so that cant be correct
Texas was not around during the constitution of 1824
Texas did not want more restaurants lol
So Texans considered themselves independent from Mexico is correct
Answer:
Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves independent from Mexico is correct
took it on edge 2020 and got it write with this
What is the GCF of 88 and 66?
Answer:
the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)
Step-by-step explanation:
have a good day!!
Angie and her friends ate 3/4 of a pizza. Her brother Joe ate 2/3 of what was left, How much of the original pizza did Joe eat? Please and thank you!
Given the formula A = P(1 + )". compute A (rounded to two decimal places) if P = 10,000,7
= 0.08, k = 2, and n = 12.
A 124,800.00
B 16,010.32
C 25,181.70
D 129,600.00
30.32
Answer:
A = 16010.32
Step-by-step explanation:
Given that,
[tex]A=P(1+\dfrac{r}{k})^n[/tex]
Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.
[tex]A=10,000(1+\dfrac{0.08}{2})^{12}\\\\=10,000\times (1.04)^{12}\\\\=16,010.32[/tex]
So, the value of A is 16010.32. Hence, the correct option is (B).
pls pls pls pls help
Answer:
im guessing it says they give $5 to the father
if that is the case then the answer is c
Step-by-step explanation:
Select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph.
Pls help pls help pls help 20 points yall pls help pls help
How many gallons of pure water must be added to 10 gal of 30% salt water to make a solution that is 25% salt water?
Answer:
2 gallons must be added Hope this helps!
Find the area of the triangle.
7 yd
24 yd
The area is
square yards.
Answer:
84 yd^2
Step-by-step explanation:
Answer:
½ × 7yd × 24yd = 84yd² <<<<< the answer
20) Find the length of a side of a square with a
diagonal length of 100 cm.
Answer:
about 7.0710678cm
Step-by-step explanation:
it's a square so the sides are equal.
the diagonal is 100cm
This makes a right triangle with two sides
since the sides are equal, they both are equal to the square root of 50, which is half of 100
the square root of 50 is about 7.0710678cm
A line has a slope of -1/8 passed through the point 5,10
Answer:
what i do not know what i am on
Step-by-step explanation:
What is 3/4 divided by 12?
Answer: 0.0625
Step-by-step explanation:
$2665 is compounded annually at a rate of 9% for 1 year
Answer:
$2675
Step-by-step explanation:
Given that 12x=15y, identify the ratio of x to y in simplest form.
Answer:
I got 4x=5y sorry if i'm wrong
If RX = 2y + 2x, XT = 3y - 1, and US = 28 find the values of x and y.
Answer:
Step-by-step explanation:
The question is in this image.
ABCE is a parallelogram . determine the meaSure of
Answer:
D. 78°
Step-by-step explanation:
ABCD is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
Therefore,
[tex]3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = \frac{52}{2} \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 \times 26) \degree \\ \\ m\angle B = 78\degree[/tex]
A toy marks down every toy by 25% in January. Use p for the price in December to write an expression of the price in January?
Answer: since the toy is marked down 15%,
you do p*.85
to find the remaining cost
Step-by-step explanation: I got this from a friend. But I hope this helps! <3
HELP FIVE STARS,THANKSAND BRAINLIEST (if your right)!!
What is the y-coordinate of the point shown in the graph?
P.S the graph is in the picture above.
Answer:
-7
Step-by-step explanation:
the full coordinate would be 3,-7. just line up the number directly above it and to the left/right and write it down x,y
3/2x+5=-3x-3 what is the value of x?
in the given figure, the side BC is produced to
the points o and E both sides. Prove that
ABE + ACD+ BAC = 180
x+4=6 find out the value of x
Answer:
Step-by-step explanation:
x=2
X+4= 6
Move + 4 to the other side to get X by itself
Sign changes from +4 to -4
X+4-4=6-4
X=6-4
X= 2
Answer: X= 2
2/3y + 1 =1/6y + 8
y = ?
Answer:
21
Step-by-step explanation:
solved it
5(a +3)= 40 *
What is the answer
Answer:
sorry i had too
Step-by-step explanation:
someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Answer: a = 5
Step-by-step explanation:
5(a + 3) = 40
5a + 15 = 40
5a -15 = -15
5a = 25
5a/5a = 25/5a
a = 5
Hope this helps :)
wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba
Answer:
wooowooowowowowowowowowow
Step-by-step explanation:
Answer:
epic ninja
Step-by-step explanation:
ninja
Translate to a system of equations but do not solve
A nontoxic floor wax can be made from lemon juice and food grade linseed oil. The amount of oil should be twice the amount of lemon juice. How much of each ingredient is needed to make 42 ounces of floor wax?
Let x represent the number of ounces of lemon juice and y the number of ounces of linseed oil.
Complete the system of equations
x+y=
Answer:
The system of equations is:
x+y = 42
y = 2x
Step-by-step explanation:
Let x represent the number of ounces of lemon juice.
Let y represent the number of ounces of linseed oil.
A total of 42 ounces of floor wax is to be made, so:
x+y = 42
The amount of oil should be twice the amount of lemon juice. So:
y = 2x
so the system of equations is obtained.
help me pls!! thank you!!
Answer:
J) y=4/3x+2
Step-by-step explanation:
The initial value is 2 so the y-intercept should be at (0, 2)
The slope is 2/1.5=1.3333
4/3=1.3333 so 2/1.5=4/3
y=mX+b
m= slope
b= Initial Value
Which set of ordered pairs are solutions to this linear equation?
-4x+y=6
O(-5, -34), (2, 8), (6, 32)
o(-1, 2), (0, -4), (1, -2)
0 (-1, 2), (0, 6), (1, 10)
O(-3, -22), (-1, -2), (1, 2)
PLEASE
Answer:
0(-1,2),(0,6),(1,10)