A bag contains 26 tiles letters a through z find the probability of drawing two vowels with replacement find the probability of drawing two vowels without replacement round the answers to the nearest thousandths which event is independent which event is dependent
Answers
Answer:
With replacement, 0.037, independent
Without replacement, 0.031, dependent
Step-by-step explanation:
There are 5 vowels (not including y).
The probability the first letter is a vowel is 5/26.
With replacement, the probability the second letter is a vowel is also 5/26.
The total probability is (5/26) (5/26) = 0.037.
Since the first letter is replaced, the probability of the second letter is not affected, so the events are independent.
Without replacement, the probability the second letter is a vowel is 4/25.
The total probability is (5/26) (4/25) = 0.031.
Since the first letter is not replaced, the probability of the second letter is affected, so the events are dependent.
Related Questions
I need answers am really bad at math
Answers
Answer:
Where is the question
Can you think of the integers for x, y, and z so that x³+y³+z³=8?
Answers
Answer:
One answer is x = 1, y = -1, and z = 2.
You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width. If each square yard of carpet costs $30.25, how much will the carpet cost you? Use your answer from the previous question to answer this question.
Answers
Answer:
402.9 $
Step-by-step explanation:
first you must turn foot into yards "every 3 foot = 1 yard"
3.33 , 4
then we will use the area=length x width formula
3.33 x 4 = 13.32 square yards
the cost of the carpet is
13.32 x 30.25 = 402.9$
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
Answers
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)\(\frac{x}{3}\)+6 > 12
⇒\(\frac{x}{3}\) > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
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At a middle school, 24 of the 144 students speak Vietnamese. What is the ratio of students that do not speak Vietnamese to students who speak Vietnamese?
Answers
Answer:
1:6
Step-by-step explanation:
24 and 144 are divisible by 6. Do the math, it comes out as 1:6.
24:144 = 1:6
Some values of functions f, g, h, and k are provided in the table on the right. Find a possible equation of each function. Verify your results with a graphing calculator table. [HINT: Use linear or exponential equations.]
The equation of function f is f(x) = ?
Answers
Answer:
100(1/2)^x
i did this in school so ye there u go -.-
(Q: 8) find the value of p in this proportion show where below answer here P=
Answers
Answer:16
Step-by-step explanation:
10/p=5/8
can be shown as
1/p=5/80
p=80/5=18
Answer:
\(P=16\)
Step-by-step explanation:
Given
\(\frac{10}{P} =\frac{5}{8}\)
We can use cross multiplication to find the value of \(P\).
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Following these steps we can evaluate \(P\).
\(10*8=5P\)
Multiply \(10\) by \(8\).
\(80=5P\)
Divide both sides of the equation by \(5\). \(P\) cancels out on the right side.
\(\frac{80}{5} =\frac{5P}{5}\)
\(\frac{80}{5} =P\)
Divide \(80\) by \(5\).
\(16=P\)
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Part A
There were 600 water samples taken for an experiment using pH and iron levels. The results are shown in the table.
What are the probabilities for the listed events? Write your answers as decimals rounded to the thousandths place.
Answers
Answer:
The answer to your problem is, 0.275 0.273 0.400 and 0.300
Step-by-step explanation:
My calculation ( May not be correct )
P ( low iron or LI ) \(\frac{165}{600}\) = 0.275
P ( low pH | LI ) = \(\frac{45}{165}\) = 0.273
P ( low pH ) = \(\frac{150}{600}\) = 0.400
P ( LI | Low pH ) = \(\frac{45}{150}\) = 0.300
Thus by making these calculations the answer to your problem is, 0.275 0.273 0.400 and 0.300
Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in Tank A after 80 seconds have passed? How many liters of water are in Tank A after x minutes have passed (answer should be an expression and not an equation)?
Answers
Given the information, we can model the capacity of Tank A with the following relation function:
\(y=124+9x\)where 'y' are the liters inside the tank and x is the minutes that pass.
To find out how many liters of water are n Tank A after 80 seconds, first we must covert 80 seconds to minutes:
\(80\sec =\frac{80}{60}\min =\frac{8}{6}\min =\frac{4}{3}min\)then, doing x=4/3, we get:
\(\begin{gathered} x=\frac{4}{3} \\ \Rightarrow y=124+9(\frac{4}{3})=124+(3\cdot4)=124+12=136 \\ y=136 \end{gathered}\)therefore, after 80 seconds, there are 136 liters in Tank A.
The expression fo know how many liter
Which ordered pair could represent another vertex of the image? (0, –1) (2, 6) (4, 0) (6, 1)
Answers
Answer:
Step-by-step explanation:
t says that's 4 units distant from the another vertex. So, if a square is formed by 4 equal sides and 4 right angles, then you just have to add 4 units on x or y.
-> (2, 1) -> + 4 units on X
-> = (6, 1)
or
-> (2, 1) -> +4 units on Y
-> = (2, 5)
(2, 5) isn't an answer so the unique possible answer is (6, 1)
Answer: (6, 1)
a scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown below. the scale is 1 inch = 4 feet. what is the area of the actual playground? *
Answers
Answer:
3,200 ft²
Step-by-step explanation:
first you want to convert the sides from inches to feet so 20* 4= 80, and 10* 4= 40 then you multiply the sides to get the area which is 80*40= 3,200 ft²
What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
Answers
The value of x or the expression 56 = -4x + 2 is -27/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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Given the table below, write a linear equation that defines the dependent variable, c, in terms of the independent variable, a.
Answers
For a linear equation, the first step is to find the slope.
Based on the table, I see that every time "t" increases by 1, then "k" increases by 4.
Since we're told k is the dependent variable, the slope will be
\(\dfrac{\text{change in }k}{\text{change in }t}} = \dfrac{4}{1} = 4\)
The slope is always \(\dfrac{\text{change in dependent variable}}{\text{change in independent variable}}\).
Once you have the slope, you need the vertical (We'd normally call this this y-intercept, but there's no "y" here. You could call it the "k" intercept in this example.)
From the table, we again see that t=0 has k=2, so that 2 is the value we need.
This gives us our equation: k = 4t + 2.
(This all is really just the slope-intercept form with x's now being called "t" and y's now being called "k".)
What is the expression in radical form?
(4x3y2)310
Answers
Given:
Consider the given expression is
\((4x^3y^2)^{\frac{3}{10}}\)
To find:
The radical form of given expression.
Solution:
We have,
\((4x^3y^2)^{\frac{3}{10}}=(2^2)^{\frac{3}{10}}(x^3)^{\frac{3}{10}}(y^2)^{\frac{3}{10}}\)
\((4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{6}{10}}(x)^{\frac{9}{10}}(y)^{\frac{6}{10}}\)
\((4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3}{5}}(x)^{\frac{9}{10}}(y)^{\frac{3}{5}}\)
\((4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{2^3}\sqrt[10]{x^9}\sqrt[5]{y^3}\) \([\because x^{\frac{1}{n}}=\sqrt[n]{x}]\)
\((4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\sqrt[10]{x^9}\) \([\because x^{\frac{1}{n}}=\sqrt[n]{x}]\)
Therefore, the required radical form is \(\sqrt[5]{8y^3}\sqrt[10]{x^9}\).
5. Sketch rectangles with whole number dimension with perimeters that range from 12 to 16 units. a) For each perimeter, what are the dimensions of the rectangle that give the greatest area? b) For each perimeter, what are the dimensions of the rectangle that give the least area? 6. Draw a figure made from square tiles where adding an additional tile decreases the perimeter. 7. A student claims that perimeter is a 2-dimensional measure because one needs to know length and width (or base and height) in order to measure it. How would you respond to this student? 8. Compare a square, equilateral triangle, and circle that each have perimeter of 12 cm. Which has the greatest area? Which has the least area?
Answers
The solution to all parts are shown below.
a) For a rectangle with a perimeter of 12 units, the dimensions that give the greatest area are 3 units by 3 units.
For a perimeter of 13 units, the dimensions are 3 units by 3.5 units.
For a perimeter of 14 units, the dimensions are 3.5 units by 3.5 units.
For a perimeter of 15 units, the dimensions are 3.5 units by 4 units.
For a perimeter of 16 units, the dimensions are 4 units by 4 units.
b) For a rectangle with a perimeter of 12 units, the dimensions that give the least area are 1 unit by 5 units.
For a perimeter of 13 units, the dimensions are 1 unit by 6 units.
For a perimeter of 14 units, the dimensions are 2 units by 5 units.
For a perimeter of 15 units, the dimensions are 2 units by 6 units.
For a perimeter of 16 units, the dimensions are 2 units by 7 units.
6. One possible figure made from square tiles where adding an additional tile decreases the perimeter is a "U" shape.
If you arrange 9 square tiles in the shape of a "U", the perimeter is 12 units. If you add another tile to the middle of the "U", the perimeter will decrease to 10 units.
7. Perimeter is a 1-dimensional measure because it only involves adding up the lengths of the sides of a shape. The student's claim that perimeter is a 2-dimensional measure is incorrect.
8. For a square, equilateral triangle, and circle each with a perimeter of 12 cm, the circle has the greatest area and the equilateral triangle has the least area.
To see this, we can use the formulas for the perimeter and area of each shape:
A square with a perimeter of 12 cm has side length 3 cm.Its area is (3 cm)² = 9 cm².
An equilateral triangle with a perimeter of 12 cm has side length 4 cm.Its area can be calculated using the formula A = (√(3)/4) x s², where s is the side length of the triangle.
Thus, the area is (√(3)/4) x (4 cm)² = 4sqrt(3) cm², which is approximately 6.9 cm².
A circle with a perimeter of 12 cm has circumference 12 cm.Its radius can be calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle.
Thus, r = 6/(2π) cm, which is approximately 0.955 cm.
The area of the circle is πr², which is approximately 2.87 cm².
Therefore, the circle has the greatest area, followed by the square, and the equilateral triangle has the least area.
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Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10
Answers
The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
What is expression?An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.
How to evaluate expression?The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.
To find the value of expression at x=4 we have to put the value of x=4 in the expression.
at x=4, 3(4+4)(4+1)/(4+2)(4-2)
=(3*8*5)/6*2
=120/12
=10
Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
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give me the answer now
Answers
Answer:
what is the Question
Step-by-step explanation:
Solve for x
8,10,12,3
Answers
Answer:
10
Step-by-step explanation:
2x = 2(-10 + 2x)
x = -10 + 2x
-x = -10
x = 10
Answer:
10
Step-by-step explanation:
Multiply the smaller line by 2
which is RS
2x = -20 + 4x
-2x = -20
x = 10
Math Graded Assignment Unit Test, Part 2 Measures of Center and Spread
(Score for Question 2: ___ of 5 points)
2. Consider the following line plot.
2
4
6
8
(a) What is the general trend of the graph?
(b) What is the median of the data? Explain.
(c) What is the mean of the data? Explain. Round to the Nearest tenth.
(d) Would the mean or median be affected more with a data point of 20? Explain.
Answer:
P
Answers
Answer:
BUDDY PUT THE WHOLE TEST ON HERE
Step-by-step explanation:
What is the measure of angle x?
37
Enter your answer in the box
82
m3 =
Answers
Answer:
61
Step-by-step explanation:
we kno that a triangle is 180 degrees so we just add the first two angles
37 + 82 = 119
then subtract that from 180
180 - 119 = 61
so x = 61 degrees
lmk if this wrong and ill fix it
hope this helps <3
Answer:61
Step-by-step explanation:
i did test on k12 it was right
what else would you need to measure the area of something
Answers
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7
Answers
Answer:
=31r712827−2412o7407
Step-by-step explanation:
A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answers
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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What is the quadratic regression equation that fits these data
Answers
Answer:
Rounded to two decimals the regression curve is:
\(y=-0.70\,x^2+2.37\,x+11.96\)
Step-by-step explanation:
The objective of this problem is to have you use a calculator and enter the data in to separate lists: one containing the x-values, and the other the correspondent y-values (following the same order).
Once the data is entered, you need to access the regression tool and request a quadratic form of regression.
You should get and image and resulting function as shown in the attached image.
Answer:
Rounded to two decimals the regression curve is:
Step-by-step explanation:
Eugene had $57.93 to spend when he went to Staples. He bought 4 notebooks for $7.99 each and some pens for $2.49 each. After paying for his supplies he had $18.50 left. How much did each pens cost?
Answers
Answer:$6.21
Step-by-step explanation:
57.93 - (4 X 7.99)
= $33.96
$33.96 - $18.50
= $15.46
\(\frac{15.46}{2.49}\)
= $6.2088
=$6.21
given < A ≅ < D, AB ≅ DE, and AC ≅ DF, prove that < C ≅ < F. show your work.
Answers
A broadcasting company failed to make a year-end accrual of $380,000 for fines due to a violation of FCC rules. Its tax rate is 20%. As a result of this error, net income was: Multiple Choice Unaffected. Overstated by $380,000. Overstated by $304,000. Overstated by $76,000.
Answers
If a broadcasting company failed to make a year-end accrual of $380,000 for fines due to a violation of FCC rules. Its tax rate is 20%. As a result of this error, net income was: Overstated by $304,000.
Net income overstatementUsing this formula
Net income overstatement=Failed year end accrual -(Failed year end accrual×Tax rate)
Let plug in the formula
Net income overstatement=$380,000-($380,000×20%)
Net income overstatement=$380,000-$76,000
Net income overstatement=$304,000 overstated
Therefore If a broadcasting company failed to make a year-end accrual of $380,000 for fines due to a violation of FCC rules. Its tax rate is 20%. As a result of this error, net income was: Overstated by $304,000.
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Four spinners are spun. Spinner 1 has outcomes Spinner 2 has outcomes Spinner 3 has outcomes Spinner 4 has outcomes The outcomes for each spinner are equally likely. is the sum of the numbers that come up on the spinners. What is the expected value of
Answers
Complete Question
Four spinners are spun. Spinner 1 has outcomes {1,2,3,4,5,6,7,8} Spinner 2 has outcomes {1,2,3,4,5,6} Spinner 3 has outcomes {1,2,3,4,5,6} Spinner 4 has outcomes {1,2,3,4,5} The outcomes for each spinner are equally likely. S is the sum of the numbers that come up on the spinners. What is the expected value of S?
Answer:
\(E(s)=14.5\)
Step-by-step explanation:
From the question we are told that:
Spinner 1 ={1,2,3,4,5,6,7,8}
Spinner 2= {1,2,3,4,5,6}
Spinner 3 = {1,2,3,4,5,6}
Spinner 4 {1,2,3,4,5}
Generally the equation for expected outcome is mathematically given by
\(E(s)=\sum P(x).x\)
Where
\(x=\frac{n(n+1)}{2}\)
For Spinner 1
\(E(s_1)=\sum \frac{1}{8}*\frac{8(8+1)}{2}\)
\(E(s_1)=4.5\)
For Spinner 2
\(E(s_2)=\sum \frac{1}{6}*\frac{6(6+1)}{2}\)
\(E(s_2)=3.5\)
For Spinner 3
\(E(s_2)=E(s_3)\)
For Spinner 3
\(E(s_4)=\sum \frac{1}{6}*\frac{6(6+1)}{2}\)
\(E(s_4)=3\)
Therefore The Expected Value
\(E(s)=\sum E(s 1..4)\)
\(E(s)=4.5+2(3.5)+3\)
\(E(s)=14.5\)
can you help me in all these questions
Answers
2. 4x - 2x = 2x
3. x * x = x sq or x^2
4. 7x / x (x and x cancels out from the numerator and denominator, so we are left with 7 / 1 or 7) = 7
5. 5x + 3x - 4x = 4x
b. 4a^2 + a^2 + 2a^2 = 7a^2
b. 15x^2 - 5x^2 = 10x^2
b. a^2 * a * a^2 = a^5
b. 4ab / 2ab = 2
b. 4x^2 - x^2 - x^2 = 2x^2
Hope you understood the above. If you need any help I will be make sure to help you.
can u help me
How many groups of 2/3 are in 3/5
Answers
Answer:
9/10
Step-by-step explanation:
(3/5)/(2/3) = 9/10