Answer:
[tex]E=-\$0.47[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size
Number of Ace [tex]A=4-1=3[/tex]
Number of Face card [tex]F=12[/tex]
Number of other cards [tex]O=36[/tex]
Generally the Probability of drawing an ace is mathematically given by
[tex]P(A)=\frac{A}{n}\\P(A)=\frac{3}{51}\\P(A)=0.06[/tex]
Generally the Probability of drawing an Face card is mathematically given by
[tex]P(F)=\frac{F}{n}\\P(F)=\frac{12}{51}\\P(F)=0.24[/tex]
Generally the Probability of drawing an Face card is mathematically given by
[tex]P(F)=\frac{F}{n}\\P(F)=\frac{36}{51}\\P(F)=0.71[/tex]
Therefore expected value with one ace removed E
[tex]E=0.06*20+0.24*5-0.71*4[/tex]
[tex]E=-\$0.47[/tex]
The expected value of the game with one ace removed is -0.44 and this can be determined by using the concept of probability.
Given :
Drawing a Cardone ace is removed from the deck.For this game, you must draw a card from a standard 52-card deck, with one ace removed. If you draw an Ace, you win $20.00. If you draw a face card, you win $5.00.So from the deck of the 52 cards number of Ace cards are 3, the number of Face cards are 12 and the other cards are 36.
Drawing an Ace card has a probability of:
[tex]\rm P(A) = \dfrac{A}{n}[/tex]
[tex]\rm P(A) = \dfrac{3}{51}[/tex]
P(A) = 0.06
Drawing a Face card has a probability of:
[tex]\rm P(F) = \dfrac{F}{n}[/tex]
[tex]\rm P(F) = \dfrac{12}{51}[/tex]
P(F) = 0.24
Drawing other cards has a probability of:
[tex]\rm P(O) = \dfrac{O}{n}[/tex]
[tex]\rm P(O) = \dfrac{36}{51}[/tex]
P(O) = 0.71
So, the expected value with one Ace removed is:
[tex]\rm P = 0.06\times 20 + 0.24\times 5 - 0.71 \times 4[/tex]
P = 1.2 + 1.2 - 2.84
P = 2.4 - 2.84
P = -0.44
For more information, refer to the link given below:
https://brainly.com/question/23017717
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required
Answer:
A sample of 1077 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
42% of freshmen do not visit their counselors regularly.
This means that [tex]\pi = 0.42[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2[/tex]
[tex]n = 1076.8[/tex]
Rounding up:
A sample of 1077 is required.
What is the location of X' when X is translated 3 units left and 9 units down?
Answer:
-3,-9
Hope this helps
Answer:
(-3,-9)
Step-by-step explanation:
X goes first then Y, since they are both negative they go backwards on the graph
SENORMATHWIZ AM I CORRECT HURRY I HAVE 5 MIN!!!!
Answer:
its actually c
Step-by-step explanation:
6*10=60+40=100
100[tex]\geq[/tex]100
Answer:
C
Step-by-step explanation:
In order to graph we must first simplify the inequality
40 + 10x ≥ 100
step 1 subtract 40 from each side
40 - 40 cancels out
100 - 40 = 60
we now have 10x ≥ 60
step 2 divide each side by 10
10x/10 = x
60 / 10 = 6
we're left with x ≥ 6
Now to graph
We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right
Thus, the answer is C
What is the perimeter of the rectangle?
-5 inches
-6 inches
-10 inches
-12 inches
(40 points im ps)
Answer:
10 in.
Step-by-step explanation:
GIVEN :-
Length = 3 in.Width = 2 in.TO FIND :-
Perimeter of rectangleSOLUTION :-
Using the formula [tex]\boxed{Perimeter = 2(Length + Width)}[/tex] ,
Perimeter of the rectangle given in question = 2(3 + 2) = 10 in.
Answer: C or 10
Step-by-step explanation: Edge2023
The graph shows the function f(x).
Which equation represents f(x)?
C D
O f(x) = -3/7
5
4
Of(x) = -3/X-1
3
2
f(x)
Of(x) = 3/-8-1
1
Of(x) = 3-Y
-10-8-6-4
-2.
2
4
B
8 10
w
Mark this and return
Save and Exit
Next
Submit
Answer:
mathmiticians: impossible
Step-by-step explanation:
some random kid: the answer is approxamatly 47.7
The equation of f(x) is f(x)= −43x−3, the correct option is C.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
f(x) = -3/X-1
Now,
To find the equation of f(x), we need to identify the slope and the y-intercept of the line. The slope is the ratio of the vertical change to the horizontal change between any two points on the line. The y-intercept is the value of f(x) when x = 0.
Looking at the graph, we can see that f(x) passes through the points (-8, 3) and (0, -3). The slope can be calculated as:
slope=run rise= 0−(−8) f(0)−f(−8)=0+8−3−3=8−6=−43
The y-intercept can be found by plugging in x = 0 into the equation f(x) = slope x + y-intercept and solving for y-intercept:
f(0)=−43x0 + y-intercept
−3=y-intercept
Therefore, by the given function the answer will be f(x)=−43x−3.
Learn more about function here:
https://brainly.com/question/2253924
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please help me please
Answer:
the answer is B, aka 10
Step-by-step explanation:
my calculator
Answer: tbh i think its 10
Step-by-step explanation:
help me pleaseee geometry help
Answer:
x = 8
Step-by-step explanation:
The perpendicular bisector tells us that XY is congruent to YZ. Therfore, we can set their equations as equal to eachother and solve for x.
plz help :{
no bad answers plz!!!
It is not periodic. A periodic dataset is a dataset that repeats the same pattern over time.
Sum between 24 and 36 is 60 an estimate of the sum is
A picture called a mosaic was made from 172,435 small clay tiles. What is the value
the digit 2 in 172,435?
A. 200
B. 2.000
C. 20.000
D. 200.000
Answer:
It would be 2,000
Step-by-step explanation:
I forgot to put the whole i-ready question ;_;
pls my brain is about to explode to oblivion...
Can anyone answer this
Answer:
700
Step-by-step explanation:
guess be like
The table shows a cricket clubs income in 2016 from a fete , a quiz and membership fees
Express as a ratio the income from the fete to the income from the quiz to the income from membership fees .
Give your ratio in it’s simplest form
Answer: 5:2:10
Income from fete = £250
13 x 5 + 35 = 100
25 x 20 = 500
250:100:500
Then simplify ratio -
25:10:50
5:2:10
Use the number line below to find a fraction that is equivalent to 1/2
Answer:
4/8
Step-by-step explanation:
There are an infinite number of fractions equal to 1/2, but the number line in the question has 8 spaces, and shows 1 divided into 8 pieces. Therefore, the answer to this question is likely 4/8.
(may I ask why exactly this is put as a college level problem?)
Answer:
It should still be the same point.
Step-by-step explanation:
It should still be the same point, since the line did not increase in length, but the numbers of units has, and that does not affect the position of the half of the line.
(4x + 1)°
43°
PLEASE SOMEONE ONE HELPPPP!!
Answer:
x= 34
Step-by-step explanation:
(4x + 1 )° + 43° = 180° (due to linear pair)
4x+1+43 = 180
4x + 44 = 180
4x = 180 - 44
4x = 136
x = 136 ÷ 4
therefore, x = 34
ramesh can complete a piece of work in 10 days he worked for 4 days and left. if dinesh complete the remaining part of the work ,how much work was done by dinesh
Answer:
100% of the work was done by him
Match each of the English phrases with the correct math translation.
Group of answer choices
The level of the water is 5 percent more than it was last year.
[ Choose ]
The level of the water is 5 percent of last year's water level.
[ Choose ]
The level of the water is 5 percent less than it was last year.
[ Choose ]
Answer:
um.......but where is Math translation ?
Find the slope and the y- intercept of the line y=6x-3
Answer:
Slope: 6
Y-intercept: -3
Step-by-step explanation:
The value of x is the slope, the value of the y-intercept is the number with no variable. Therefore, the slope is 6 and the y-intercept is -3.
If this has helped please mark as brainliest
Answer:
m=6
Step-by-step explanation:
Estimate the rate of change of the graph function over the interval -4
which graph is the correct one ?
Answer:
For the First image the second one and for the Second image the first one
Step-by-step explanation:
f (x) = (3x^4 + 1)^2 ?
Answer:
72x^7+24x^3 (finding the derivative using the chain and power rules)
Step-by-step explanation:
Answer:
the answer is 8
Step-by-step explanation:
A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years
Answer:
$5,956.2
Step-by-step explanation:
First we need to find the amount after 5years using the formula
A =P(1+r)^n
A = 9000(1+0.06)^5
A = 9000(1.06)^5
A = 9000(1.3382)
A = 12,043.8
Interest after 5 years = 12,043.8 - 9000
Interest after 5 years = 3,043.8
Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
A. –2(9x + 4) = 12x + 18 – 86
B. 86 – 18x – 8 = 12x + 18
C. 2(9x + 4) = 86 – 12x – 18
D. x = 2
Answer:
D) x = 2
hope it helps
please mark brainliest
Noah spins 2 spinners at the same time. Each spinner is numbered 1 through 4. If each spinner can land only in one of the numbered sections (not on a line), which list represents the sample space?
Select one:
List C
List B
List A
List D
Um, what are the lists look like? Step-by-step explanation:
Find the length of the missing side. Express your answer in simplest radical form.
A 2106 cm
B. 22 cm
C. 27 cm
D. 47 14 cm
Answer:
D
Step-by-step explanation:
you use the Pythagorean theorem
It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
so mathematically
a2+b2=c2
a and b being the short sides and C being the Hypotenuse
so in our case
a= 10 cm
b= ?
c= 18
a2+b2=c2
(10cm)2+(b)2=(18cm)2
100cm2+b2=324cm2
b2=324cm2-100cm2
b2=224cm2
*putting both sides under a square root*
b=4sqrt14cm
$40,000 is invested at a rate of 5.7% that is compounded semiannually.
How much money is in the account after 17 years?
Answer:
$[tex]$78760.00[/tex]
Step-by-step explanation:
You want to calculate the interest on $40000 at 5.7% interest per year after 17 years.
The formula we'll use for this is the simple interest formula, or:
[tex]I=P*r*t[/tex]
Where:
P is principal amount, $40,000r is the interest rate, 5.7% per year, or in decimal form, [tex]\frac{5.7}{100} =0.057[/tex]t is the time involved, 17 yearsTo find the simple interest we multiply [tex]40000*0.057*17[/tex] to get
The interest rate is $38,760
Usually now, the interest is added onto the principal to figure some new amount after 17 years.
or 40000.00 + 38760.00 = 78760.00
=$78,760
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3.5 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of
1.7 n' per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for at, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
5 minutes
Step-by-step explanation:
Volume of cylinder = πr²h
Radius, r = diameter / 2 = 1.8 /2 = 0.9
Volume of cylinder = 3.14 * 0.9² * 3.5
Volume = 8.9019 feet³
Drain rate = 1.7 ft per minute
Volume / drain rate
8.9019 / 1.7
= 5.2364117
= 5 minutes (nearest minute)
yesterday there were 36 problems assigned for math homework. karrie did 75 percent of them correctly. how many problems did karrie get right
Answer:
27.
Step-by-step explanation:
75% = 75/100 = 3/4.
Number correct = 3 *36/4
= 3 * 9
= 27.
Which angle measure is greater?
Answer: B
Step-by-step explanation:
What is the greatest common factor of 5 and 13?
Answer:
1
Step-by-step explanation:
List out factors of 13
13: 1,13
List out factors of 5
5: 1,5
GCF = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
The GCF is 1.
Step-by-step explanation: