Answer:
A
Step-by-step explanation:
solve for P(B | A). Write the answer as a percent rounded to the nearest tenth
A=16.9%
B=?
P(A & B) = 4.2%
The probability of B given A is approximately 24.9%.
The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of positive outcomes) (Sample space) is how it is written.
We can use the formula for conditional probability to solve for P(B | A):
P(B | A) = P(A & B) / P(A)
Substituting the given values, we get:
P(B | A) = 4.2% / 16.9%
= 0.2485207100591716
To convert this to a percentage rounded to the nearest tenth, we can multiply by 100 and round to one decimal place:
P(B | A) ≈ 24.9%
Therefore, the probability of B given A is approximately 24.9%.
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which of the following equations will produce the graph shown below?
A circle can be characterized by its center's location and its radius' length. The correct option is A.
What is an equation of a circle?A circle can be characterized by its center's location and its radius' length. Let the center of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units. Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The given graph is the graph of a circle that has its origin at (0,0) and has a radius of 4 units, therefore, the equation will be,
(x-0)² + (y-0)² = 4²
x² + y² = 16
Multiply both the sides of the equation by 2,
2x² + 2y² = 32
Hence, the correct option is A.
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how many ways can the letters of a word be arranged in a row if two letters must remain next to each other
To determine the number of ways that the letters of a word can be arranged in a row if two letters must remain next to each other, we can treat these two letters as a single unit. Therefore, the problem reduces to finding the number of ways to arrange this new "unit" and the remaining letters.
So, to answer the question directly, the number of ways that the letters of a word can be arranged in a row if two letters must remain next to each other is (n-1) x 2!
To solve this problem, we will treat the two letters that must remain next to each other as a single unit, and then find the total number of arrangements. Here's the step-by-step explanation:
1. Combine the two letters that must remain next to each other into a single unit. This will temporarily reduce the total number of items to arrange by one.
2. Count the total number of items (including the combined unit) that you need to arrange.
3. Calculate the factorial of the total number of items. This will give you a number of ways to arrange these items in a row.
4. Finally, since the two letters inside the combined unit can be arranged in two ways (either the first letter comes first or the second letter comes first), multiply the result from step 3 by 2.
By following these steps, you will get the total number of ways the letters of a word can be arranged in a row with the constraint that the two specified letters must remain next to each other.
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Find the Laplace transform where of the function f(t) =
{ t, 0 < t < {π + t π < t < 2π where f(t + 2 π) = f(t).
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
Given function is,f(t) ={ t, 0 < t < π π < t < 2π}
where f(t + 2 π) = f(t)
Let's take Laplace Transform of f(t)
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)
∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}
⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0
when e^{2πs} ≠ 1 ⇒ s ≠ 0
∴ The Laplace Transform of f(t) is
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...
= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
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Greg started to run on a treadmill after setting it’s timer for 98 minutes the display says that he has finished 57% of his run how many minutes have gone by
A total of 55.86 minutes have gone by since Greg started his run on the treadmill.
How many minutes have gone byIf Greg has completed 57% of his run, it means he has 43% of his run remaining.
To find out how many minutes have gone by, we can use proportions.
Let's say x is the total number of minutes Greg needs to complete his run:
x = 57% * 98 minutes
Evaluate
x = minutes
Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.
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I need help plz plz
Answer:
3.7 degrees
Step-by-step explanation:
98.8-32 = 66.8
66.8/18 = 3.7 degrees
What is an equation of the line that passes through the points (4,1) and (8,−4)?
Answer:
Step-by-step explanation:
Landon analyzed data and found that the correlation coefficient for their line of best fit was -0.85. Marco analyzed a different set of data and found a correlation coefficient of 0.85. Marco states that since 0.85 is greater than -0.85, his data points have a better line of best fit than Landon. Is Marco correct? Why, or why not?
Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.
Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.
In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.
The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.
The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.
Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.
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Pls. Help find these answers?!
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
Find the sum. Use a number line to verify your answer. Can someone please help me with this problem?
Answer:
The answer is -2
Step-by-step explanation:
Start at -7 on the number line. Work your way to the right towards the positive numbers by five and there is your answer!
Then the position of the expression 5 + (-7) on the number line will be at negative 2.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 5 + (-7)
Calculated the expression, then we have
⇒ 5 + (-7)
⇒ 5 - 7
⇒ - 2
Then the position of the expression 5 + (-7) on the number line will be at negative 2.
The diagram is given below.
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12 + x = - 3 ( 4 – x )
Answer:
x=12
Step-by-step explanation:
12+x=-12+3x
-2x=-24
x=12
Answer:
x=12
Step-by-step explanation:
12+x=-3(4-x)
12+x=-12+3x
2x=24
x=12
Evaluate each expression.
(Examples)
4 7. |10|= ?
Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
What is mean?Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.
Mean = 2 Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.
We can determine that at least
100 (1-1k2)% = 100 (1-1/4)% = 75%
is within 2 standard deviations of the mean using Chebyshev's Rule with
k = 2. The percentage times the sample size yields the equivalent number of households:
75% x 40 = 30 Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
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On solving the provided question, we can say that the expression, we have here is 4 7. |10|= 470 or -470
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
the expression, we have here is
4 7. |10|= 470 or -470
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Consider z1 = 4 – 4 startroot 3 endrooti and z2 = –16i. What is z1 – z2? 4 – 12startroot 3 endroot i 4 12startroot 3 endroot i 4 – 4( startroot 3 endroot – 4)i 4 4 (startroot 3 endroot – 4)i
The answer is: \(z_1-z_2\)= 4-4(\(\sqrt{3i}\)-4i)
The correct option is: (D)
What are Complex numbers?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z).
Since we have given : \(z_1\)==4-4\(\sqrt{3i}\) and \(z_2\)= -16i
The difference of z1 - z2 would be:
So,
\(z_1-z_2\) = 4-4\(\sqrt{3i}\) - (-16i)
\(z_1-z_2\) =4-4\(\sqrt{3i}\)+16i
\(z_1-z_2\) =4-4(\(\sqrt{3i}\) -4i)
Hence, \(z_1-z_2\)= 4-4(\(\sqrt{3i}\)-4i)
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Answer:
4 – 4( StartRoot 3 EndRoot – 4)i
it's C.
Step-by-step explanation:
took the L for yall bc my shtoopid ahh thought it was D, which is 4 + 4
2
The given diagram shows the steps for constructing a line parallel to line AB and passing through point P, but an error has occurred in the construction.
second arc
F
(centered at P)
P
first arc
(centered at C) D-
A
O A.
1st
E
What needs to be corrected in the diagram to fix the error?
B
The second arc should be drawn centered at point D.
The third arc should be drawn centered at point F.
OB.
OC. The first arc should pass through point B.
OD. A fourth arc needs drawn so that it passes through point P.
A
P
E
2nd
third arc
(centered at D)
B
4
So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.
What distinguishes a mathematical element?The elements or members of a set are the parts that make it up. To divide the components of a set, commas and two curly (idle) braces are typically employed. Capital letters are always used to print the set's name. The set "A" in this context consists of the letters v, w, x, y, and z.
Based on the given diagram and instructions, it appears that the error in the construction is that the first arc is centered at point C instead of point A. The correct procedure for constructing a line parallel to line AB and passing through point P is as follows:
1.Draw a line AB and mark point P not on line AB.
2.From point P, draw an arc that intersects line AB at points D and E.
3.Draw another arc, centered at point D, with the same radius as the first arc. This arc should intersect the first arc at point F.
4.Draw a line through point P and point F. This line is parallel to line AB and passes through point P.
So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.
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The third arc should be drawn centred at F.
What is an arc?
In geometry, an arc is a curved segment of a circle or any curved line. It is a part of a curve that is bounded by two distinct endpoints and is characterized by its length, its curvature, and its central angle.
Constructing a parallel line to line AB and passing through point P.
To find:
The error occurred in the construction.
The procedure is,
The first arc must be drawn centred at C.
The second must be drawn centred at P.
Finally, the third arc must be drawn centred at F.
But here, the third arc is drawn centred at D. This is wrong.
The correct step is that the third arc must be centred at F.
Hence, The third arc should be drawn centred at F.
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PLEASE HELP ILL GIVE YOU EXTRA POINTS AND MARK YOU AS SOMETHING!!
What is order of magnitude?
The magnitude of the number of the minutes in the school is 2.
What magnitude is 0 in?Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.
Can a magnitude order be negative?There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).
The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.
On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.
The value storage is where you may find the number into the various magnetic.
As a result, the number of minutes spent in school is 2.
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Complete question -
What is the Order of Magnitude of the number of minutes in a school day?
Which of the following is equal to the expression listed below?
45 + 18
A. (9 +5)(9+2)
B. 9+ (5 x 2)
C. (9 x 5)(9 x 2)
D. 9(5+2)
Answer:
Step-by-step explanation:
9(5 + 2)
the answer is D
30 POINTS!!! PLEASE ANSWER THE QUESTIONS IN THE PICTURES!!! EACH QUESTION HAS 2 ANSWERS!!!!
Answer:
Step-by-step explanation:
I believe the first question is 1.9
second: 48.2
sorry didn't understand the third one :(
good luck in your exam!One month before an election, a poll of 630 randomly selected voters showed 55% planning to vote for a certain candidate. A week later it became known that he had had an extramarital affair, and a new poll showed only 53% of 1010 voters supporting him. Do these results indicate a decrease in voter support for his candidacy?
Determine the test statistic. z= (Round to two decimal places as needed.)
Find the P-value.
estimate that difference, p1−p2, with a 95% confidence interval
The statistics are as follows:
- Test Statistic: The calculated test statistic is approximately 1.02.
- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.
- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.
To solve the problem completely, let's go through each step in detail:
1. Test Statistic:
The test statistic can be calculated using the formula:
z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]
We have:
p1 = 0.55 (proportion in the first poll)
p2 = 0.53 (proportion in the second poll)
n1 = 630 (sample size of the first poll)
n2 = 1010 (sample size of the second poll)
Substituting these values into the formula, we get:
z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]
z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]
z ≈ 0.02 / √(0.0001386 + 0.0002493)
z ≈ 0.02 / √0.0003879
z ≈ 0.02 / 0.0197
z ≈ 1.02 (rounded to two decimal places)
Therefore, the test statistic is approximately 1.02.
2. P-value:
To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.
The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.
3. Confidence Interval:
To estimate the difference in proportions with a 95% confidence interval, we can use the formula:
(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]
We have:
p1 = 0.55 (proportion in the first poll)
p2 = 0.53 (proportion in the second poll)
n1 = 630 (sample size of the first poll)
n2 = 1010 (sample size of the second poll)
z = 1.96 (for a 95% confidence interval)
Substituting these values into the formula, we get:
(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]
0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]
0.02 ± 1.96 * √(0.0001386 + 0.0002493)
0.02 ± 1.96 * √0.0003879
0.02 ± 1.96 * 0.0197
0.02 ± 0.0386
The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).
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Translate the following sentence into an algebraic equation: 3 times "r" less than
15 equals 6.*
A. 3(15) - r = 6
B. 15 - 3r = 6
C. 3(r - 15) = 6
D. 6r = 15-3
Answer:
Step-by-step explanation:
is √6 irrational or rational?
Answer:
irrationol
Step-by-step explanation:
Answer:it is irrationall
Step-by-step explanation:
An airplane has an airspeed of 500 kilometers per hour (k/hr) in a
northerly direction (N 0˚ E). The wind velocity is 60 k/hr in a southeasterly (S45˚E)
direction. Let Va be the velocity of the plane relative to the air and Vw be the velocity
of the wind (both in terms of i and j).
1. Find vg = va + vw, the path of the plane relative to the ground. Round coefficients to the nearest tenth.
2. Find the actual speed and direction of the airplane relative to the ground. Round to the nearest tenth.
3. Consider the following system: →0.85→0.85→ Determine the probability that the system will operate under each of these conditions: a. The system as shown. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.) b. Each system component has a backup with a probability of .85 and a switch that is 100 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places. c. Each system component has a backup with a probability of .85 and a switch that is 90 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)
a. The probability that the system will operate as shown is approximately 0.6141.
b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141
The probability that the system will operate as shown is approximately 0.6141.
b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:
Probability = 0.85 × 0.90 × 0.85
Probability ≈ 0.6485
The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
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Rearrange the equation so nnn is the independent variable. m + 1=-2(n + 6).
The equation with 'n' as the independent variable is m = -2n - 13.
To rearrange the equation so that n is the independent variable, you can start by moving all of the terms with n on one side of the equation and all of the other terms on the other side.
You can start by subtracting 1 from both sides of the equation to get
m = -2(n + 6) - 1.
Then, you can distribute the -2 on the right side of the equation to get
m = -2n - 12 - 1.
Finally, you can combine the constants on the right side of the equation to get m = -2n - 13.
Therefore, the equation with 'n' as the independent variable is m = -2n - 13.
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Ted added parentheses to this expression so that it's value is greater than 75. Where did Ted add the parentheses? 10+9x3-1x2
Answer:
He added the parenthesis to (10+9)
Step-by-step explanation:
The goal here is to find a part of this expression where we can add parentesis so that the value of the equation would be greater than 75
10+9x3-1x2
When we add parentesis to (10+9), we have:
(10+9)x3-1x2
19x3-1x2
= 112
112 is greater than 75.
If we add the parentheses elsewhere like (9x3)
10+(9x3)-1x2
The value would be
10+37-1x2 = 72
And 72 is less than 75
what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
A bag contains 26 tiles, each with a different letter of the alphabet written on it. you choose a tile without looking. what is the probability that you choose a vowel (a, e, i, o, u) or a letter in the word algebra?
To determine the probability of selecting a vowel or letter from a bag of 26 tiles, divide the total number of favorable outcomes by the total number of possible outcomes. The probability is 6/13.
To find the probability of choosing a vowel or a letter in the word "algebra" from the bag of 26 tiles, we need to determine the total number of favorable outcomes and the total number of possible outcomes.
The total number of favorable outcomes is the number of vowels (5) plus the number of letters in the word "algebra" (7). Therefore, there are a total of 12 favorable outcomes.
The total number of possible outcomes is the total number of tiles in the bag, which is 26.
To find the probability, we divide the number of favorable outcomes by the number of possible outcomes:
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = 12 / 26
Probability = 6 / 13
Therefore, the probability of choosing a vowel or a letter in the word "algebra" from the bag is 6/13.
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The equation 50=36.50+0.10m represent the additional number of messages roboerto can send with a budget of $50 .solve the equation to find the number he has left to send
A block of cheese weighing 7/8 of a pound is cut into 4 equal parts. What is the weight in pounds of each part?
Jessica went deep sea diving. She make the first stop on her descent at 25 meters below the surface of the water. From that point she dives down further, stopping every 5 meters. If she makes 4 additional stops, which number represents her position, relative to the surface of the water?
*
A 45
B 20
C -20
D -45
Answer:
-45
Step-by-step explanation: