Answer:
Expected value of drawing a card in this game on the first turn = 6
Step-by-step explanation:
Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.
To find - What is the expected value of drawing a card in this game on the first turn?
Formula used -
Expected value, E[x] = ∑ x p(x)
where p(x) is the probability
Proof -
Total cards in a standard deck = 52
Total face cards = 12 (a jack, a queen, or a king)
Other cards = 40
Now,
Probability of getting a face card = [tex]\frac{12}{52}[/tex]
Probability of getting a other card = [tex]\frac{40}{52}[/tex]
So,
Expected value, E[x] = ∑ x p(x)
= (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])
= [tex]\frac{192}{52} + \frac{120}{52}[/tex]
= [tex]\frac{312}{52}[/tex]
= 6
∴ we get
Expected value of drawing a card in this game on the first turn = 6
So,
The correct option is - B. 6 points
A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
d+a=h
Answer:
do you have an attatchment or guide i can use to answer this?
Step-by-step explanation:
Transposing a,
[tex]d + a = h \\ a = h - d[/tex]
Can someone please help me!
Answer:
A)
Step-by-step explanation:
it is clearly reduced so you can eliminate the middle two options as answers;
reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction
1. Curtis is making a triangular frame
with a base of 12 feet and a height of
6 feet. What is the area of the frame?
A 144 ft2
B 36 ft2
C 72 ft2
D 18 ft2
50 POINTS!!! HELP ME PLEASE!!!!
Step-by-step explanation:
1. 3.6 x 10^-1
2. 3.1 x 10^6
3. 5.3 x 10^-6
4. 4.2 x 10^-1
the distance between sandville and lewiston is shown on the map what is actual distance between the town?
Answer:
260 miles
Step-by-step explanation:
set up a proportion:
6.5/d = 1/40
cross-multiply:
d = 40(6.5) which equals 260 miles
Find the length side of W
Answer:
17.99
Step-by-step explanation:
Trig Ratios:
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Tangent
We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)
Recall that sin = opposite over hypotenuse
That being said we want to create an equation to solve for w
[tex]sin(40)=\frac{w}{28}[/tex]
Now we solve for w
Step 1 multiply each side by 28
[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]
we're left with w = 17.99
Can someone please help me?
Answer:
the 1st option is false; there is no 'addition' sign
Step-by-step explanation:
What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?
Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.
Answer:
both camlps
Step-by-step explanation:
Answer:
B.) Prisoners attacked and killed SS men and guards.
Step-by-step explanation:
edge
What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2
how can you write [tex]\frac{1}{\sqrt[3]{-12} }[/tex] in [tex]a^{b}[/tex] format without any radicals?
Answer:
[tex]\displaystyle (-12)^{-\frac{1}{3}}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{1}{\sqrt[3]{-12}}[/tex]
Step 2: Rewrite
Exponential Rule - Root Rewrite: [tex]\displaystyle \frac{1}{(-12)^{\frac{1}{3}}}[/tex]Exponential Rule - Rewrite: [tex]\displaystyle (-12)^{-\frac{1}{3}}[/tex]Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group.
Which statement is true about the distributions of completion times?
The students in Group A tended to complete the quiz in less time.
The median of Group A is greater than the median of Group B.
The means of both groups are about the same.
The standard deviation of Group B is less than the standard deviation of Group A.
Answer:
The median of Group A is greater than the median of Group B.
Step-by-step explanation:
Given
[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]
Required
Which of the options is true
(a) Group A complete in less time
To do this, we calculate the average of both using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where
[tex]n = 9[/tex]
So, we have:
[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]
[tex]\bar x_A = \frac{41.9}{9}[/tex]
[tex]\bar x_A = 4.66[/tex]
[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]
[tex]\bar x_B =\frac{39.9}{9}[/tex]
[tex]\bar x_B =4.43[/tex]
The average time of Group A is higher than that of B, this means that Group A spend more time, on average.
(b) Group A has a greater median
First, we sort the given data in ascending order
[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]
The median is then calculated using:
[tex]Median = \frac{n + 1}{2}th[/tex]
This gives:
[tex]Median = \frac{9 + 1}{2}th[/tex]
[tex]Median = \frac{10}{2}th[/tex]
[tex]Median = 5th[/tex]
The median is the fifth item for both groups.
So, we have:
[tex]A =4.7[/tex]
[tex]B =4.3[/tex]
4.7 is greater than 4.3
Hence, (b) is true
Since (b) is true and only one option is correct, then (c) and (d) are incorrect
Answer:
b
Step-by-step explanation:
Which graph represents the solution set of this inequality?
4+11<-21
hep please
Answer:
It's C :D
Step-by-step explanation:
A person walks 14 mile in 18 hour.
The person's speed is
miles per hour.
Answer:
[tex]\frac{7}{9}[/tex] of a mile per hour
0.77777778 of a mile per hour
Step-by-step explanation:
[tex]\frac{y}{14} :\frac{1}{18}[/tex]
y · 18 = 1 · 14
18y = 14
18y ÷ 18 = 14 ÷ 18
[tex]y=\frac{7}{9}[/tex]
Answer: 1.28571428571
Step-by-step explanation: You divide the hours by miles
h+6.9+11.4
a
4.0
b
4.5
c
5.0
d
5.5
Could you please express this question better, I don't seem to understand the objective.
For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)
Answer:
x=3/4
Step-by-step explanation:
Given:
f(x) = x-1
g(x) = 2x²+3
Evaluate composite functions:
f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2
g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5
Set expressions equal to each other and solve for x:
2x²+2 = 2x²-4x+5
2 = -4x+5
-3 = -4x
3/4 = x
x = 3/4
Therefore, the value of x=3/4 satisfies both composite functions
A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False
Answer:
TRUE!
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
If you have 2 Liters, then you would DOUBLE the milliliters (2000)
Use words to explain how to solve this equation: (x-10)(x-4)=0
Answer: x = 10 OR x = 4.
Step-by-step explanation: If x = 10 or 4 then the last step of the equation will always be multiplying by 0 which equates to 0 as well.
if x = 10
(10-10)(10-4) -> (0)(6) -> 0 x 6 = 0
if x = 4
(4-10)(4-4) -> (-6)(0) -> -6 x 0 = 0
Answer:
[tex]x = 10 \: and \: 4[/tex]
Step-by-step explanation:
Hope it is helpful....
What units would you use to describe the volume of a box measured in
centimeters?
A. Cubed centimeters
B. Inches
C. Square feet
D. Cubed Inches
Answer:
A
Step-by-step explanation:
Marking brainliesttttt pls answer all means a lot !!
12- Dana raised the high score on a video game from 300 points to 390 points. By what percentage did Dana raise the score ?
F-20%
G.23%
H.30%
J.90%
Answer:
G
Step-by-step explanation:
it is the correct answer
Answer:
Look at the image and
H. 30%
Step-by-step explanation:
[tex]\frac{100}{y}: \frac{300}{390}[/tex]
y · 300 = 100 · 390
300y = 39000
300y ÷ 300 = 39000 ÷ 300
y = 130
130% - 100% = 30%
Describe two ways to write 7/3 as a mixed number
Answer:
2 1/3 and 1 1/6
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
B
Step-by-step explanation:
According to Order of Operations, you always do exponents first
Simplify the expression.
4(20 + 12) – (4 - 3)
Answer:
127
Step-by-step explanation:
see image below:)
Answer:
127
Step-by-step explanation:
4(20 + 12) – (4 - 3)
80+ 48 - 1
127
I hope this helped!
Five boys each have 8 marbles. If all
their marbles are collected and placed
into
8heaps, how many marbles will there be in each jeap ?
5 marbles.
We first need to find how many marbles we have in total.
8 marbles * 5 boys = 40 marbles.
These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.
40/8 = 5
There will be 5 marbles in each heap.
There is a photo please help quick.
Answer:
B
Step-by-step explanation:
1/4 + 2/3
(3+8)/12
11/12
Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]
What is the volume of the following sphere? Use 3.14 for x.
18 mm
3,052.08 mm 3
24.416.64 mm 3
113.04 mm
3
226.08 mm 3
Answer: 3,052.08
Step-by-step explanation: 4/3 * pi * 18/2
show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0
Answer:
[tex] 2.373737....=\frac{235}{99}[/tex]
Step-by-step explanation:
[tex] 2.373737....=2.\overline{37}[/tex]
[tex] Let\: x=2.\overline{37}...(1)[/tex]
[tex] \therefore 100x=237.\overline{37}...(2)[/tex]
Subtracting equation (1) from equation (2), we find:
[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]
[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]
[tex] \therefore 99x=235[/tex]
[tex] \therefore x=\frac{235}{99}[/tex]
[tex] \implies 2.373737....=\frac{235}{99}[/tex]
Subtract (6x² + 8x - 5) from (7x? + 8x - 4)
Answer:
−6x^2+7x+1
Step-by-step explanation:
1)(7x+8x-4)=15x−4
2)15x-4-(6x^2+8x-5)=−6x2+7x+1
Can someone help me?-?
9514 1404 393
Answer:
M R T V B K
Step-by-step explanation:
From left to right the solutions are ...
__
B: equating expressions for y
-2x = x -3 ⇒ 3 = 3x ⇒ x = 1
R: given
x = -2
V: filling in for y
4x +5(2) = 10 ⇒ x = 0
T: subtracting the first from twice the second
2(3x +y) -(-3x +2y) = 2(0) -9 ⇒ 9x = -9 ⇒ x = -1
K: adding the two equations
(2x +y) +(3x -y) = (7) +(3) ⇒ 5x = 10 ⇒ x = 2
M: equating expressions for y
x -2 = 1/3x -6 ⇒ 2/3x = -4 ⇒ x = -6
__
The solutions in order least to greatest are ...
-6 (M), -2 (R), -1 (T), 0 (V), 1 (B), 2(K)
The passcode is MRTVBK.
_____
Additional comment
In several cases, there are variables and constants on both sides of the equal sign. The solution method is to identify the smallest variable coefficient, and add the opposite of that term. Also added at the same time is the opposite of the constant term on the other side of the equal sign. The net effect is to put the variable on one side and the constant on the other side. Then the equation is divided by the coefficient of the variable.
For example, in the first equation, -2x is the variable term with the smallest coefficient. -3 is the constant on the other side of the equation. To get from the initial expression to the next, we add 2x+3 to both sides of the equation.