—statistics and probability, rules of probability
Question:
Mary has 10 blouses hanging in her closet— 5 are blue, 2 are black, and the rest are red. if she hangs the blouse in a random order, what is the probability that the first and last blouse are both red?
A. 0.011
B. 0.067
C. 0.042
D. 0.001
Answers
Answer:
B. 0.067
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Number of arrangements:
The number of possible arrangements of n elements is given by:
\(A_{n} = n!\)
Desired outcomes
First red(10 - (5+2) = 3 possible)
Last red(2 possible).
Middle 8 arranged in any way.
So
\(D = 3*A_{8}*2 = 3*8!*2 = 241920\)
Total outcomes:
Arrangements of 10 elements. So
\(T = A_{10} = 10! = 3628800\)
What is the probability that the first and last blouse are both red?
\(p = \frac{D}{T} = \frac{241920}{3628800} = 0.067\)
The correct answer is given by option B.
Related Questions
14 points!! PLEASE HELP MARKING BRAINLIST
Answers
Answer:
x = 58.03°
Step-by-step explanation:
Given:
17 cm is the length of the hypotenuse9 cm is the length of the adjacent sideSolve for x:
cos x = adjacent / hypotenusex = \(cos^{-1}(\frac{adjacent}{hypotenuse})\)1. \(x=cos^{-1}(\frac{9}{17})=58.03\)
Answer:
So, the measure of angle x is equal to 58.03.
60 POINT QUESTION. Middle school math, ordered pairs.
Answers
Answer:
(0,2)
(3,0)
Step-by-step explanation:
(3,0)
Is the correct answer
You need a 50% alcohol solution. On hand, you have a 220 mL of a 40% alcohol mixture. You also have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired solution?
You will need __ mL of the 70% solution to obtain ___ mL of the desired 50% solution.
Answers
By weighted averages, you will need 110 mililiter of the 70 % alcohol mixture to obtain 330 mililiter of the desired 50 % alcohol mixture.
How much 70 % alcohol mixture to produce a 50 % alcohol solution
In this problem we need to mingle two alcohol mixtures with different concentrations (40 %, 70 %) and different quantities, in milimeters. The quantity of needed 70 % alcohol mixture to prepare a 50 % alcohol solution can be determined by means of weighted averages:
(220 mL + x) · (50 / 100) = (220 mL) · (40 / 100) + x · (70 / 100)
Now we proceed to clear the variable x, which is the needed quantity of 70 % alcohol mixture:
(220 mL + x) · 50 = (220 mL) · 40 + x · 70
11000 + 50 · x = 8800 + 70 · x
20 · x = 2200
x = 110
A quantity of 110 mililiter of 70 % alcohol mixture.
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15 A 45om long field is drawn a scale Icm to 9om Find the length of the dam drawing.
Answers
Answer:
The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.
Therefore, the length of the dam drawing is 5 cm.
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
Answers
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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0.006772 to 1 significant number
Answers
Answer:
0.006772
If the last dropping digit is less than 5 then it will be ignored
0.00677
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.0068
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.007
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.01
if the last digit is less than 5 so it will be ignored
0.0 is significant figure because zero to the right of decimal point are significant
Step-by-step explanation:
i hope this will help you :)
Answer:
0.007
Step-by-step explanation:
Rounding off 0.006772 to 1 significant figures:
=> 0.007
There is only 1 significant figure in this , since the zeroes on the left are not counted as significant figures.
Suppose that sin(a) = 4/6 and cos(b) =1/5 define in the first quadrant, determine cos(a-b). (round to 4 decimal places)
Answers
The value of the cosine of the angle of (a - b) will be 0.80.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
It is a function that repeats itself in a particular time interval.
Suppose that sin(a) = 4/6 and cos(b) = 1/5.
Then the value of 'a' is given as,
sin(a) = 4/6
sin(a) = 2/3
a = 41.81°
Then the value of 'b' is given as,
cos(b) = 1/5
b = 78.46°
Then the value of the cosine of the angle of (a - b) will be given as,
⇒ cos(41.81° - 78.46°)
⇒ cos(-36.65°)
⇒ cos 36.65°
⇒ 0.80
The value of the cosine of the angle of (a - b) will be 0.80.
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(MC)
The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the triangle?
1. 112 units.
2. square root 112 units.
3. 130 units.
4. square root 130 units.
Answers
Answer:
Square root 112 Units.
Step-by-step explanation:
See the image attached for the work.
Practice Skills_ Simplifying Inequality1. 3( 1/2 - y) = 3/5 + 15y. What isthe solution to the given inequality?
Answers
3( 1/2 - y) = 3/5 + 15y
Applying distributive property:
3*1/2 - 3y = 3/5 + 15y
3/2 - 3y = 3/5 + 15y
3/5 is adding on the right, then it will subtract on the left
3y is adding on the left, then it will subtract on the right
3/2 - 3/5 = 15y + 3y
15/10 - 6/10 = 18y
9/10 = 18y
18 is multiplying on the right, then it will divide on the left
9/10*1/18 = y
1/10*1/2 = y
1/20 = y
Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90
Answers
Answer:
Mean=85.56, median=90, mode=95 and range=35
Step-by-step explanation:
To calculate the mean is the same as the average value in a data set. Median is data value separating the upper half of a data set from the lower half. The median is the data value separating the upper half of a data set from the lower half. The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number from the largest number.
Which of the expressions below are equal to 5x + 20y? Select all that apply.
A) 5(x + 4y)
B) 3x + 12y + 2x + 8y
C) 3x + 10y + 3x + 8y
D) 2x + 15y + 2x + 5y
Help plzzz
Answers
Hope this helps!
60th term of -28 -45 -62
Answers
Answer:
-79
Step-by-step explanation:
First Identify the sequence
-28 to -45 is -17
-45 to -62 is -17
This is an Arithmetic Sequence because it is constant
(Constant ; same throughout)
Two Formulas:
a60=28 -45 -62
or
an= -17(60)-11
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 60 N acts on a certain object, the acceleration of the object is 10 /ms2. If the acceleration of the object becomes 6 /ms2, what is the force?
Answers
The force is 36N.
The detailed explanation of how a force can alter a body's motion is given by Newton's second law. A body's momentum is said to vary at a rate equal to the force acting on it over time, both in magnitude and direction.
Force is the external effect that is put on a body it can be either push or pull. Any external effect on a body is Force.
The force is directly proportional to the acceleration which can be mathematically written as :
F ∝ a
Now when force is 60N and acceleration is 10 m/s².
therefore: F=ma where m is constant .
Putting the values we get:
m = 6
Now when acceleration is 6 m/s² then we can use the constant m to find the force:
F=ma
or, F = 6 × 6 N
or, F = 36 N
Hence the required force is 36 N.
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Hayley bought 3 1/7 of southern potato salad and 2 1/4 lb of german potato salad. how many pounds of potato salad did she buy?
Answers
Improper Fraction Answer: 151/28
Decimal Answer: 5.3928571
The sixth-grade class is going to the local art museum. There are 46 students in the class. The total cost of the tickets for all the students is $379.50. What is the cost of one student ticket?
Answers
Each ticket cost $8.25
Step-by-step explanation:
Divide 379.50 by 46 to get 8.25
379.50/36=8.25
Double check
8.26 x 46 = 379.50
Simplify your answer as much as possible.
Answers
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
Answers
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
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Write an explicit formula for the recursive formula.
A(n) = A(n-1)+ 4.8; A(1)= 7.2
Choose the correct formula below.
O A. A(n) = 7.2+(n - 1)4.8
OB. A(n)=4.8+ (n - 1)7.2
O c. A(n) = A(n-1) + (n-1)4.8+ 7.2
O D. A(n) = 7.2 +4.8n
Answers
Answer: A
Step-by-step explanation:
We can recognize this as an arithmetic sequence with first term 7.2 and common difference 4.8
How many significant figures are in the number: 0.00029
Answers
Answer:
coochie
Step-by-step explanation:
Assume that a simple random sample has been selected and test the given claim.Claim: The average age of actresses when they win an acting award is more than 34 years oldTo test this claim a simple random sample (SRS) of 27 actresses is used. This sample of 27 actresses had a sample mean of 31.4 years and a standard deviation = 11.2 years. Assume the the distribution of actresses ages is approximately normal.Select all TRUE statements from those given below..For this hypothesis test; H0: ? 34 H1: ?>342. The correct decision is to "support" (fail to reject) the null hypothesis H0.3. We decide to reject the claim that the average age of actresses when they win an acting award is more than 34 years old.4. For this hypothesis test, the P-value = .8815. For this hypothesis test, the test statistic is t = -1.21
Answers
Answer:
how big is your noodle
Step-by-step explanation:
100 points to the people who answer and you'll be reported if answer with something stupid
Y'all, what's another way to say "dramatic flare"
please and thank you:)
Answers
Answer:
another way to say dramatic flare is flamboyant which means to be loud and dramatic like saying the shirt with the parrots on it is very flamboyant
Step-by-step explanation: brainliest plz
I do not remember how to solve this
Answers
Answer:
Your answer is correct
Step-by-step explanation:
Use the rules of exponents to simplify the expression.
(q⁶)²To raise a power to another power, multiply the exponents.
q⁶ˣ²Multiply 6 by 2.
q¹²The correct option is the third.
SkandarWhich polygon has the most sides? pentagon nonagon hexagon octagon
Answers
Answer:
nonagon - 9
Step-by-step explanation:
pentagon - 5nonagon - 9hexagon - 6octagon - 8A nonagon has the most sides with 9 sides
(GIVING BRAINLYST)Which expression represents the following statement? Multiply 7 by the sum of 6 and 3, and then subtract the quotient of 4 and 2. 07x (6+3)-4+2 07+6 (3+4) x 2 - 07+6+3 (4+2) 7x (6+3)+4-2
Answers
The expression representing the given statement is 7×(6+3)-(4÷2). Option A is correct.
Given the statement is Multiply 7 by the sum of 6 and 3, and then subtract the quotient of 4 and 2.
Firstly, we will break the statement in two parts that is Multiply 7 by the sum of 6 and 3 and second part is subtract the quotient of 4 and 2.
Multiply 7 by the sum of 6 and 3 means there is addition sign between 6 and 3 and the addition of 6 and 3 is multiply with 7, we get
7×(6+3) ......(1)
subtract the quotient of 4 and 2 means 4 is divisible by 2 and this is subtract means there is a minus sign, we get
-(4÷2) .....(2)
Combine equation (1) and (2), we get
7×(6+3)-(4÷2)
Hence, the expression which represents the given statement Multiply 7 by the sum of 6 and 3, and then subtract the quotient of 4 and 2 is 7×(6+3)-(4÷2).
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what is 5 2/7 as an improper fraction?
Answers
Answer:
you multiply 7 and 5= 7(5)= 35
then add 2 = 35+2= 37
Answer is 37/7
Step-by-step explanation:
Pls help me I really nee it pls pls pls pls
Answers
3w-4z=8
2w+3z=-6 solve
Answers
Answer:
W = 0
Z = -2
Step-by-step explanation:
While simplyfying the equation, i noticed that one is 24 and the other is -24, which meant that one value is non existent, and after i found out that w = 0 imputing the reslut made that easier
Name the property of equality that justifies going from 3x+6x to (3+6)x
Answers
What is the image point of (–7, 1) after a translation left 4 units and down 5 units?
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attempt 2 out of 5
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Answers
\((-11,-4)\)
Step-by-step explanation:When we first translate the point \((-7,1)\) to the left by \(4\) units, we just need to subtract the \(x\)-coordinate of the point by \(4\).
\((-7 -4,1) \\ (-11,1)\)
Now we have the point \((-11,1)\). We then translate it down by \(5\) units by subtracting the \(y\)-coordinate of the point by \(5\) units.
\((-11,1 -5) \\ (-11,-4)\)