Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, we have that:
There are 60 balls, hence N = 60.20 balls will be drawn, hence n = 20.3 balls are correct, hence k = 3.You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]
Hence you are going to win approximately 3.33% of the time. The difference is because you considered that only 3 balls would be drawn, and not 20.
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What is the system of equations represented by the graph?
{y≥1
y−x>0
{y≥1
y−x<0
{y≤1
y−x<0
{y≤1
y−x>0
Answer:
c is the answer
Step-by-step explanation:
{ y≤1
y-x<0
Select all the equations that have the same solution as 2x - 5 = 15
Answer:
3x = 15 x=5
1x -10=15 x=25
2x-25= 15 x=20
2x+11=15 x=2
-2x+25=15 x= -5
and so on
Please help I’ve tried and can not figure it out
let the probability of Aron going on Saturday be A
A
= {Aaron goes to the gym on Monday},
and the probability of him going on a Sunday be B
B
= {Aaron goes to the gym on Sunday}.
In your post, we have the following pieces of information:
P(A)=0.8
P(A)=0.8
,
P(B∣A)=0.3
P(B∣A)=0.3
,
P(B∣ A)=0.9
P(B∣A¯)=0.9
.
What you are looking for is the probability that he goes only once (either on Saturday or Sunday). That is the probability of the event
(A∩ B¯ )∪( A¯ ∩B)
(A∩B¯)∪(A¯∩B)
. [(A∩ B¯)(A∩B¯)
: if he goes on Saturday he won't go on Sunday
A¯∩B
A¯∩B
: if he did not go on Saturday, he will go on Sunday].
We have:
P
((A ∩ B)∪(A ∩B))
=
P(A∩ B )+
P(A∩B)
=
P( B ∣A)
P(A)+
P(B∣ A)
P( A)
=
(1−P(B∣A))
P(A)
+
P(B∣ A)
(1−P(A))
=(1−0.3)×0.8+0.9×0.2
The prob of Aaron going to the gym on exactly one of the two days is =0.74.
P((A∩B¯)∪(A¯∩B))=P(A∩B¯)+P(A¯∩B)=P(B¯)
Solve the formula for the specified variable
Q=R + Rst for s
[tex]Q=R+Rst \\ \\ Q=R(1+st) \\ \\ \frac{Q}{R}=1+st \\ \\ \frac{Q}{R}-1=\frac{Q-R}{R}=st \\ \\ \boxed{s=\frac{Q-R}{Rt}}[/tex]
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white copies, and the rest were color copies.
• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.
Which system of equations can be used to find b, the number of black-and-white copies, and
c, the number of color copies that the customer paid for at the print shop?
The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = 6
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Total amount paid = $6.00
Total copies = 68
Cost of black-and-white copy = $0.08
Cost of color copy = $0.15
Now, Let number of black-and-white copies = b
And, Number of color copies = c
Hence, The equation become;
b + c = 68
0.08b + 0.15c = 6
Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = $6
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Write the equation of the line in slope-intercept form that has a slope of -2 and passes through (3, 3)
Answer:
y = -2x + 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = -2
Point (3, 3)
Step 2: Find equation
Substitute in slope [Form]: y = -2x + bSubstitute in point: 3 = -2(3) + bMultiply: 3 = -6 + bIsolate b: 9 = bWrite equation: y = -2x + 9Simplify The Equation
–9(–8p + 12) – 6p
Answer:
9/8
Step-by-step explanation:
Hurry please!!!!!!!!! It’s a timed test!!!!!!!
The function /(x) is shown on the graph.
What is f(0)?
A.12 only
B. 2 and 3 only
C. -2, -1, -1, and 2 only
D. -2,-1, 1, 2 and 12
Answer:
c
Step-by-step explanation:
What is the reciprocal of 3/7 ?
A) 3/7
B) 2 1/3
C) 7/3
D) 7
Answer:
c ) 7/3
Step-by-step explanation:
What is the slope of y = log(x) when x=20 ?
The formula for the slope is _________ for h close to 0 (but not equal )
The best estimate for the slope is____
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The formula for slope according to first principle is :
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{f(x + h) - f(x)}{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log(x + h) - log(x)}{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{x + h}{x} ) }{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{h} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times x} \][/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{1}{x} \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times log_{e}(10) } \] \bigg)[/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } \displaystyle\lim_{x\to0} \: \: \sf \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} } \] \bigg)[/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } [/tex]
Now, the best estimate of slope is at x = 20 :
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{20\times 2.303} [/tex]
[tex] \qquad \sf \dashrightarrow \: \[ \dfrac{1}{46.06} [/tex]
[tex] \qquad \sf \dashrightarrow \: \approx0.0217[/tex]
The speed, s, of an ant (in centimeters per second) is related to the temperature, t (in degrees Celsius), by the formula
s = 0.167t - 0.67
If the temperature is 40 degrees Celsius, how fast is the ant moving?
Answer:
binod
Step-by-step explanation:
binod is binod and is binod
tan 3( ) tan 3 lim
h
xh x
® h
Answer:
27
Step-by-step explanation:
know that
h = 3
h × h × h
3 × 3 × 3
= 27
Some History teachers at Riverside High School are purchasing tickets for students and their adult chaperones to go on a field trip to a nearby museum. For her class, Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. What is the price for each type of ticket?
Answer:
Cost of student ticket = $7
Cost of Adult ticket = $17
Step-by-step explanation:
Let cost of student ticket = x
Cost of Adult ticket = y
Making expressions from statements
Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. [tex]27x+25y=614[/tex]
Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. [tex]27x+32y=733[/tex]
Now solving these equations to find values of x and y
Let
[tex]27x+25y=614--eq(1)\\27x+32y=733--eq(2)[/tex]
Subtracting both equations
[tex]27x+25y=614\\27x+32y=733\\-\:\:\:-\:\:\:\:\:\:\:\:\:\:\:\:-\\-------\\-7y=-119\\y=\frac{-119}{-7}\\y=17[/tex]
So, we get value of y = 17
Now, finding value of x, by putting value of y in eq(1)
[tex]27x+25y=614\\Put\:y=17\\27x+25(17)=614\\27x+425=614\\27x=614-425\\27x=189\\x=\frac{189}{27}\\x=7[/tex]
So, we get value of x = 7
Cost of student ticket = x = $7
Cost of Adult ticket = y = $17
Original: $100, Discount: 13%
Answer:
Step-by-step explanation:
$87
what is the scientific notation for the value of (15×10⁵)÷(5×10³)
A.3×10²
B. 3×10⁸
C. 20×10²
D. 75×10²
Answer:
it's A
(15 * 10 ^ 5) binom 5*10^ 3 ) =300
(15 * 10 ^ 5)/(5 * 10 ^ 3)
(10 ^ 5)/(10 ^ 3) = 10 ^ 2
= (15 * 10 ^ 2)/5
: 15/5 = 3
= 3 * 10 ^ 2 = 3 * 10 ^ 2
3 * 10 ^ 2 = 300
=300
HEY YOU!! PLEASE I NEED HELPPP
find angle BAC and angle FAB
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
which equation represents a linear function?
Answer:
Equation 3
Step-by-step explanation:
Answer:Equation 3
linear functions dont have exponents
Step-by-step explanation:
389. A racquetball court is 40 ft by 20 ft. What is the area of the court?
a. 60 ft2
b. 80 ft2
c. 800 ft2
d. 120 ft2
Answer: 800 ft^2 ==> c
Step-by-step explanation:
A=Area, l=length, w=width
A=l*w
A=40*20
A=800 ft^2 ==> c
all of the following fractions are equal to 1/2 except?
9/18
20/40
4/6
5/10
Using the table of Motor Vehicle Deaths given below, find the Motor Vehicle Deaths per capita for Ohio
State MV Deaths Population
Indiana 693 6 million
Illinois 911 12.4 million
Ohio 1021 11.35 million
Michigan 871 9.9 million
Alaska 64 0.63 million
Based on the table of Motor Vehicle Deaths, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita
How to find the motor vehicle deaths per capita?When something is said to be per capita, it means that it is per person in the population.
The motor vehicle deaths per capita for Ohio can therefore be found by the formula:
= MV Deaths in Ohio / Ohio population
= 1,021 / 11.35 million
= 0.00009 deaths per capita
In conclusion, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita
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A 99% confidence interval for the population mean yields the following results: [−3.79, 5.86]. At the 1% significance level, what decision should be made regarding the following hypothesis test with LaTeX: H_0H 0: LaTeX: \mu=0μ = 0 versus LaTeX: H_1H 1: LaTeX: \mu\ne0μ ≠ 0?
Answer:
Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero
Step-by-step explanation:
From the given information:
The null hypothesis and alternative hypothesis is given as:
[tex]H_o: \mu = 0 \\ \\ H_1 : \mu \ne 0[/tex]
And the 99% confidence interval for the population mean [tex]\mu[/tex] is: [−3.79, 5.86]
The significance level ∝ = 1 - 0.99 = 0.01
We will notice that the 99% confidence interval for the population mean [tex]\mu[/tex] contains the null hypothesis mean value which is equal to zero.
Thus, we do not reject the null hypothesis at the significance level ∝ = 0.01
∴
Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero
Which is the correct answer?
A. The equation has one valid solution and no extraneous solutions.
B. The equation has one valid solution and one extraneous solution.
C. The equation has two valid solutions and no extraneous solutions.
D. The equation has no valid solutions and two extraneous solutions.
Answer:
I think that it is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
You can buy 3 apples at the Quick Market for $1.11. You can buy 5 of the
same apples at Stop and Save for $2.55. Which place is the better buy?
630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?
Answer:
total no. of people =630
let the no. of people who ordered fries be x
Then,
60%of 630=x(since 60% of them ordered fries)
60/100×630=x=378
Therefore,the no of people who ordered fries are 378.
Thankyou
I BEG u pls answer this question.. im using my remaining points for these and i will give u brainliest if they are correct
Answer:
Step-by-step explanation:
1. Alternate interior angles. Inside the transversal and opposing sides
8. Set all three angles equal to 180, since they're supplementary
34+41+x = 180
180 = 75+x
105 = x
The average selling price is $0.60 per unit, the average variable cost is $0.36 per unit, and the total fixed costs are $1,500. If operating profits of $900 are desired, a sales volume of 2,500 units is necessary. True False
The statement is False.
Given that the SP is $0.60 per unit and the CP is $0.36 per unit.
So, profit per unit = $(0.60-0.36)
= $ 0.24
So, now we have to check whether 2500 units sales is required if we want a profit of $900.
To check we have to multiply the profit per unit with the sales,
⇒ 0.24 × 2500
⇒ $ 600
We can see clearly that we get a profit of $600 if we sale 2500 units. So, to make a profit of $900 we have to sale = [tex]\frac{900}{0.24}[/tex]
= 3750 units
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Hello please help with this math. Some one rush.
Answer:
the experiment is mine is my favorite but us and I can you too I don't revel in a bit if ok to come to
Add. 25+14 Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
25 + 14 = 39 and the fraction form can be [tex]\frac{39}{100}[/tex]
Step-by-step explanation:
Explain how you can tell by looking at a graph if there is a
proportional
You can tell if a graph represents a proportional relationship by identifying the y-intercept, or the point of the line that crosses the y-axis.
If the y-intercept is 0, then the relationship is proportional. This is called a direct relationship.
If the y-intercept is anything other than 0, then the relationship is not proportional. This is called an indirect relationship.
I hope this helps!
A company is looking to cover a floor in their office with wood. How many square yards of wood does the company need to cover the floor?
Answer:
[tex]Area = 72[/tex]
Step-by-step explanation:
From the attachment, we can see that the floor has a trapezium shape with the following dimensions.
[tex]Height = 6yd[/tex]
The parallel sides (P1 and P2) are:
[tex]P_1 = 10 + 4 = 14[/tex]
[tex]P_2 = 10[/tex]
The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:
[tex]Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]
[tex]Area =\frac{1}{2} * (P_1 + P_2) * Height[/tex]
[tex]Area = \frac{1}{2} * (10 + 14) * 6[/tex]
[tex]Area = \frac{1}{2} * (24) * 6[/tex]
[tex]Area = 12 * 6[/tex]
[tex]Area = 72[/tex]
Hence, 72 square yards is needed to cover the floor