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y^4

i fell asleep in math class.. what is this smh

The answer is 55 possible selections of 4 books from this shelf that include at least one paperback. Option D (55) is the correct answer.

To answer your question regarding the possible selections of 4 books from a shelf with 8 books (2 paperbacks and 6 hardbacks) that include at least one paperback, we'll use combinatorics.
Calculate the total possible combinations of selecting 4 books out of 8 without any conditions:
This can be calculated using the combination formula, C(n, r) = n! / (r! * (n-r)!), where n is the total number of books (8) and r is the number of books to be selected (4).
C(8, 4) = 8! / (4! * (8-4)!) = 70
Calculate the total possible combinations of selecting 4 hardback books only:
Here, n is the total number of hardbacks (6) and r is the number of books to be selected (4).
C(6, 4) = 6! / (4! * (6-4)!) = 15
Calculate the number of combinations that include at least one paperback:
Since we know the total combinations and the combinations with hardbacks only, we can subtract the latter from the former to get the number of combinations with at least one paperback.
Number of combinations with at least one paperback = Total combinations - Combinations with hardbacks only = 70 - 15 = 55
So, there are 55 possible selections of 4 books from this shelf that include at least one paperback.

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Answer:99904.

Step-by-step explanation:

Find the LCM of

5

10 = 2x5

15 = 3x5

20 = 2x2x5

25 = 5x5

LCM = 2x2x3x5x5 = 300

Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.

Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.

10204/10 = 1020 as quotient and a remainder of 4. Correct.

10204/15 = 680 as quotient and a remainder of 4. Correct.

10204/20 = 510 as quotient and a remainder of 4. Correct.

10204/25 = 408 as quotient and a remainder of 4. Correct.

Answer: 10204.

To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.

Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.

99904/10 = 9990 as quotient and a remainder of 4. Correct.

99904/15 = 6660 as quotient and a remainder of 4. Correct.

99904/20 = 4995 as quotient and a remainder of 4. Correct.

99904/25 = 3996 as quotient and a remainder of 4. Correct.

Answer: 99904.

Applying the knowledge of quotient and fractions, we have:

The number of soda each person will drink is: \(1\frac{2}{3} \) glasses.

The fraction of sugar to be used per cupcake is: \(1\frac{3}{5} \)

Problem 1:

The expression that matches the situation is: 7 ÷ 3 (quotient of 7 and 3)

7/3 = \(1\frac{2}{3} \)

The number of soda each person will drink is: \(1\frac{2}{3} \) glasses.

Problem 2:

The expression that matches the situation is: 8 ÷ 5 (quotient of 8 and 5)

8/5 = \(1\frac{3}{5} \)

The fraction of sugar to be used per cupcake is: \(1\frac{3}{5} \)

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Answer:

The angle TQS has a value of 23.5º.

Step-by-step explanation:

\(\angle RQS\) and \(\angle PQR\) are supplementary to each other, that is, the sum of angles equals 180º, and ray \(QT\) divides \(\angle RQS\) into two equal parts. We construct this system of linear equations after a careful reading of statement:

\(\angle RQS = (x+1)^{\circ}\) (Eq. 1)

\(\angle PQR = (3\cdot x - 5)^{\circ}\) (Eq. 2)

\(\angle RQS + \angle PQR = 180^{\circ}\) (Eq. 3)

\(\angle RQS = \angle RQT + \angle TQS\) (Eq. 4)

\(\angle RQT = \angle TQS\) (Eq. 5)

Now we proceed to solve the system algebraically:

(Eq. 1) and (Eq. 2) in (Eq. 3)

\((x+1)^{\circ} + (3\cdot x - 5)^{\circ} = 180^{\circ}\)

\((4\cdot x-4)^{\circ} = 180^{\circ}\)

\((4\cdot x)^{\circ} = 184^{\circ}\)

\(x = \frac{184}{4}\)

\(x = 46\)

In (Eq. 1):

\(\angle RQS = 47^{\circ}\)

(Eq. 5) in (Eq. 4):

\(\angle RQS = 2\cdot \angle TQS\)

\(\angle TQS = \frac{1}{2}\cdot \angle RQS\)

\(\angle TQS = \frac{1}{2}\cdot (47^{\circ})\)

\(\angle TQS = 23.5^{\circ}\)

The angle TQS has a value of 23.5º.

Answer:

$11

Step-by-step explanation:

55/10=5.5

5.5*2=11

Answer:

11

Step-by-step explanation:

Because to get the percent you have to times your price by the decimal of 20 to get the discount.

Answer:

its 4 :)

Step-by-step explanation:

heyyy please give me brain i really am thankfull if you do and

also have a nice day hope this help and thank you very much.

Components of PQ:
PQ = Q - P
= (5, -8) - (-7, -4)
= (5+7, -8+4)
= (12, -4)
So the components of PQ are (12, -4).

Point P:
We know that the components of PR are (3,0). Let's call the components of P as (x,y). Then,
PR = R - P = (3,-4) - (x,y)

                = (3-x, -4-y)
So we need to find x and y such that (3-x, -4-y) has components (3,0). This gives us two equations:
3-x = 3
-4-y = 0

Solving these, we get x = 0 and y = -4.

So the point P is (0,-4).

Unit vector opposite to v:
The length of v is √((-1)^2 + 4^2) = √17.

So the unit vector in the direction opposite to v is (-1/√17, -4/√17).

Vector of length 2 making an angle of 60° with the x-axis:
Let's call the vector we need as v.

We know that the angle between the v and the x-axis is 60°.

So the angle between v and the y-axis is 90° - 60° = 30°.

Let's call the components of v as (x,y). Then,
tan(60°) = y/x
√3 = y/x
y = √3x

Also,
tan(30°) = x/y
1/√3 = x/y
x = y/√3

Substituting y = √3x in the second equation, we get

x = 2/√3 and y = 2.

So the vector we need is (2/√3, 2).

Components and length of given vectors:

-li + 5j
Components: (-1, 5)
Length: √((-1)^2 + 5^2) = √26

li - 4j
Components: (1, -4)
Length: √(1^2 + (-4)^2) = √17

-5i + 5j
Components: (-5, 5)
Length: √((-5)^2 + 5^2) = √50 = 5√2

-li +2j
Components: (-1, 2)
Length: √((-1)^2 + 2^2) = √5

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Answer:

3

Or

3/1 (I don’t know by fractions in reduced form if it can be whole numbers or not)

Step-by-step explanation:

15/5

21/7

36/12

We can use any of these fractions to simplify but I’ll use 15/5 since it’s easiest for me

15 divided by 5 is 3 so if we put it into a fraction it’s 3/1

Hopes this helps please mark brainliest

Answer:

11. (c) c and d

12. x = 109°

13. (b) 84

14. (c) 96

15. C

Step-by-step explanation:

11. Parallel means that if the lines continued on forever, the lines will never cross. They have the same slope.

12. x is an alternate exterior angle to the angle labeled 109°. this means that the angles are equivalent.

13. y is the last unknown angle in the triangle. The interior angles of a triangle always add up to 180°.  So 180° = 55° + 41° + y.

y = 180° - 55° - 41° = 84°

14. z is a supplementary angle to y, meaning that y + z = 180°.

180° - 84° = 96° = z

15. Lines d and c are parallel meaning they have the same slope, therefore if you know the slope of one, you know the slope of the other.

Answer:

Slope is -2/3

Parallel slope is the same just draw another line with the same slope but a different y-intercept

Step-by-step explanation:

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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The appropriate answer is B: There's not enough evidence to decide whether the distribution is skewed or roughly symmetric.

a. The quartiles divide the data into four equal parts. Q1 (the first quartile) is the median of the lower half of the data, Q3 (the third quartile) is the median of the upper half of the data. In this case, Q1 is 71 pounds, which means that 25% of the high school female athletes had a maximum bench press less than or equal to 71 pounds. Q3 is 91 pounds, indicating that 75% of the athletes had a maximum bench press less than or equal to 91 pounds.

b. Based on the given information, we can make an educated guess about the distribution's symmetry. The median (81 pounds) is equal to the mean, which suggests a roughly symmetric distribution. Additionally, the values of Q1 (71 pounds) and Q3 (91 pounds) are symmetrically distributed around the median. However, without additional information or a graphical representation of the data, we cannot definitively determine the distribution's skewness.

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Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.

The reason why i agree with her is that  the odds that is double will also give you an odd double and get an even double.

An odd number is known to be one that be looked at as an even number and this is one that happens if one added to it .

For example  5 is 4+1.

Therefore, if you add two odd numbers together, there is the probability that a person may get an even number.

For example is 3 + 5 = 8

Therefore, Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.

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The experimental probability that Jim will score 18 or more points in the next game is 3/7, expressed as a fraction in simplest form.

To find the experimental probability that Jim will score 18 or more points in the next game, we need to analyze the data provided.

Looking at the given data, we see that Jim has scored 18 or more points in 3 out of the 7 games played.

Therefore, the experimental probability can be calculated as:

Experimental Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 3 (the number of games in which Jim scored 18 or more points), and the total number of outcomes is 7 (the total number of games played).

P

So, the experimental probability is:

Experimental Probability = 3/7

Therefore, the experimental probability that Jim will score 18 or more points in the next game is 3/7, expressed as a fraction in simplest form.

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Answer: the ticket cost will be 13.02

Step-by-step explanation:

first, find the %8.5 out of 12 which is 1.02, and then add 12 + 1.02

Answer:

9 answers

Step-by-step explanation:

Just because ab=cd, it does not necessarily follow that a=c or that b=d. e.g. 23=46, but 2≠4 and 3≠6. In your case, since tan(θ)=125, ...

Answer:

domain: [0, positive infinity)

range: (negative infinity, positive infinity)

Answer: B: 4

Step-by-step explanation: just took the test

The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.

An arithmetic progression (A.P.) is a series where every term is the sum of the previous term and a common difference.

The first term of an arithmetic progression is denoted by a, and its common difference is denoted by d. The n-th term of an arithmetic progression can be found using the formula

n-th term = a + (n-1)d.

We are given a pattern, starting with 10 marbles and every consecutive line has 1 less marble than the previous line. We are asked to find the number of marbles in the 7th line.

This can be seen as an arithmetic progression with the first term a = 10, and the common difference d = -1.

We are asked to find the number of marbles in the 7th line. This can be taken as the 7th term of the given arithmetic progression.

n-th term = a + (n-1)d

or, 7th term = 10 + (7-1)(-1) = 10 + 6(-1) = 10 - 6 = 4.

∴ The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.

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Answer:

they answer is y^6=−y^3

Step-by-step explanation:

Answer:

y^6=−y^3

Step-by-step explanation:

Answer:

Solve the system of equations.

x+6y=-7

2x+12y=-14

x=1

y=12

Step-by-step explanation:

Answer:

∞ amount of solutions

The two vectors [2x + 4y; 6x + 8y] and [2x; 2y], we can see that they are not equal. Therefore, lambda = 2 is not an eigenvalue of matrix A. To determine if lambda is an eigenvalue of the matrix A, we need to find if there exists a non-zero vector v such that Av = lambda * v.

1. Let's start by computing the matrix-vector product Av.
2. Multiply each element of the first row of matrix A by the corresponding element of vector v, then sum the results. Repeat this for the other rows of A.
3. Next, multiply each element of the resulting vector by lambda.
4. If the resulting vector is equal to lambda times the original vector v, then lambda is an eigenvalue of matrix A. Otherwise, it is not.

For example, consider the matrix A = [1 2; 3 4] and lambda = 2.
Let's find if lambda is an eigenvalue of A by solving the equation Av = lambda * v.

1. Assume v = [x; y] is a non-zero vector.
2. Compute Av: [1 2; 3 4] * [x; y] = [x + 2y; 3x + 4y].
3. Multiply the resulting vector by lambda: 2 * [x + 2y; 3x + 4y] = [2x + 4y; 6x + 8y].
4. We need to check if this result is equal to lambda times the original vector v = 2 * [x; y] = [2x; 2y].

Comparing the two vectors [2x + 4y; 6x + 8y] and [2x; 2y], we can see that they are not equal. Therefore, lambda = 2 is not an eigenvalue of matrix A.

In summary, to determine if lambda is an eigenvalue of matrix A, we need to find if Av = lambda * v, where v is a non-zero vector. If the equation holds true, then lambda is an eigenvalue; otherwise, it is not.

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True. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

In terms of the row-reduced echelon form (RREF) of A, this means that there is at least one row with all zeros except for a non-zero entry in the last column (corresponding to the augmented vector b), indicating a contradiction. If the RREF of A had a pivot position in every row, then the corresponding system of equations would have a unique solution, so it must be the case that the RREF of A does not have a pivot position in every row.  If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The symbolic forms for the given statements are: (b) p ∨ r, (c) p ∧ q, (d) q ~ r, and (e) p ∨ q. Statement (a) cannot be expressed symbolically.

(a) x ≥ 5: This statement represents a numerical inequality, and it cannot be expressed symbolically.

(b) p ∨ r: The symbolic form for the statement "p ∨ r" is a logical disjunction, meaning it represents the logical "OR" operation between the propositions p and r.

(c) p ∧ q: The symbolic form for the statement "p ∧ q" is a logical conjunction, indicating the logical "AND" operation between the propositions p and q.

(d) q ~ r: The symbolic form for the statement "q ~ r" is a negation, where the proposition r is negated, represented by the symbol "~".

(e) p ∨ q: The symbolic form for the statement "p ∨ q" is a logical disjunction, indicating the logical "OR" operation between the propositions p and q.

In logic, different symbols are used to represent various logical operations and relationships between propositions. The statements provided have different symbolic forms based on the logical operations they represent.

The "∨" symbol represents logical disjunction (OR), "∧" symbol represents logical conjunction (AND), and "~" symbol represents negation. It is important to understand the symbolic forms to accurately represent and analyze logical statements.

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Answer:

the line segment is a part of an infinite line.

Answer:

Ebuka is correct.  Ivy is thinking about a line, not a line segment.  And ethan is the one saying that a line segment is about more than a length.

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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Answer:

x = 30°

Step-by-step explanation:

l₁ // l₂ and t is transversal. So, corresponding angles are congruent.

         3x - 10 = 2x + 20

Add 10 to both sides,

              3x  = 2x + 20 + 10

             3x  = 2x + 30

Subtract 2x from both sides,

       3x - 2x = 30

               x = 30°

Answer: -1, 1.5, 3 1/12

Step-by-step explanation: I was tested on these type of questions

Arranging the data set in increasing order:

8, 8, 8, 10, 10, 10, 12, 12, 14, 14, 15

We have to have plots at each of these unique numbers.

So,

We will make the dot plot from 8 to 15 and basically have increments of 1.

B is the correct choice.