The larger of two numbers is 11 more than twice the smaller number. The sum of the numbers is 1 less than seven times the smaller number. Find the numbers

There are 13 diamonds in the deck (as well as other colors). Since there are 52 cards, the probability of getting a diamond on the first draw is 13/52. After the first card is drawn, all that's left are his 12 diamonds. Therefore, the probability of drawing a diamond is 12/51 (note that he has only 51 cards left after pulling/removing the first card since there are no replacement cards). The overall probability is the product of two possibilities. The odds of drawing diamonds from the original deck are 13/52 times the odds of drawing diamonds from his remaining 51 cards. Assuming the first card drawn is a diamond, 12/51.

P=13/52*12/51=1/4*4/17=1/17.

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Answer:

5X-X (because inside brackets, they can't be solve anymore)

Semantics is the branch of linguistics that explores how meaning is conveyed through language. In the context of big data, it refers to the changes in the interpretation of data and how it can be used to yield meaningful insights.

Semantics is a branch of linguistics that deals with the study of meaning in language. In the context of big data, semantics relates to how data is interpreted and how it can be used to gain meaningful insights. Semantic analysis looks at the context of data and how it changes in meaning over time. This analysis helps to understand how the data can be used to make decisions, solve problems, and improve processes. Semantic analysis also helps to identify trends, relationships, and patterns in data that can be used to formulate decisions, plans, and strategies. By understanding the changes in meaning, organizations can use the data to make more informed and accurate decisions.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The probability that the spinner lands on an odd space given that it lands on the white space is 3/8.

The question is incomplete and the possible question is

The spinner given in the below image is spun. Find the probability that it lands on an odd number, given that it lands on white space.

The conditional probability of an event B on the hypothesis that another event A has occurred will be denoted by P(B|A) and defined by
P(B|A)=P(AB)/P(A)

provided P(A)≠0.

In case P(A)=0, the conditional probability remains undefined.

The sample space has 16 events, out of which 8 events have white space.

And out of those 8 white spaces, 3 have odd numbers.

White events are 12,14,6,2,10,15,3,9.

White odd events are 3,9,15.

Hence, P(White odd)=3/16

P(White)=8/16=1/2

Thus, the probability that the spinner lands on an odd space given that it lands on the white space

=P(odd | White)

=P(White odd) / P(White)

=(3/16)/(1/2)

=3/8

Hence, the probability that the spinner lands on an odd space given that it lands on the white space is 3/8.

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the critical values are x = 0 and x = 2. f(x) is increasing for x < 0 and x > 2, and decreasing for 0 < x < 2. There is a local maximum at x = 0 and a local minimum at x = 2.

(a) The derivative of f(x) is f'(x) = 6x² - 12x.

To find the critical values, we set f'(x) equal to zero and solve for x:

\(6x² - 12x = 0\)

Factor out 6x:

\(6x(x - 2) = 0\)

Setting each factor equal to zero, we have:

\(6x = 0 -- > x = 0\)

\(x - 2 = 0 -- > x = 2\)

So, the critical values are x = 0 and x = 2.

(b) To determine the intervals where f(x) is increasing or decreasing, we can use the first derivative test. We evaluate the sign of f'(x) in the intervals between and outside the critical values.

For x < 0, we choose x = -1 as a test point:

\(f'(-1) = 6(-1)² - 12(-1) = 6 + 12 = 18\)

\(Since f'(-1) > 0, f(x) is increasing for x < 0.\)

For 0 < x < 2, we choose x = 1 as a test point:

\(f'(1) = 6(1)² - 12(1) = 6 - 12 = -6\)

\(Since f'(1) < 0, f(x) is decreasing for 0 < x < 2.\)

For x > 2, we choose x = 3 as a test point:

\(f'(3) = 6(3)² - 12(3) = 54 - 36 = 18\)

\(Since f'(3) > 0, f(x) is increasing for x > 2.\)

(c) To find the local extrema, we examine the sign changes of f'(x) around the critical values.

For x < 0, f'(x) is always positive, so there is no local extremum.

At x = 0, f'(x) changes sign from positive to negative, indicating a local maximum.

For 0 < x < 2, f'(x) is always negative, so there is no local extremum.

At x = 2, f'(x) changes sign from negative to positive, indicating a local minimum.

For x > 2, f'(x) is always positive, so there is no local extremum.

In summary, the critical values are x = 0 and x = 2. f(x) is increasing for x < 0 and x > 2, and decreasing for 0 < x < 2. There is a local maximum at x = 0 and a local minimum at x = 2.

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The expression for the total amount earned in t hours is 24t.

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,

Amount earned per hour = $12

Amount earned in t hour = 12t

The amount is double.

The amount earned per hour.

= 2 x 12t

= 24t

Thus,

The total amount earned in t hours is 24t.

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The length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

To find the length of the longest ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hallway forms a right-angled triangle, with one side measuring 14 feet and the other side measuring 8 feet.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the ladder) as follows:

\(c^2 = a^2 + b^2\)

where c is the hypotenuse (length of the ladder), and a and b are the lengths of the other two sides.

Plugging in the values:

\(c^2 = 14^2 + 8^2\)

\(c^2 = 196 + 64\)

\(c^2 = 260\)

c ≈ √260

c ≈ 16.86 feet

Therefore, the length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

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L'expression F = (2x+1)^2-4 peut être développée en utilisant la formule (a+b)^2 = a^2+2ab+b^2. Ainsi,

F = (2x+1)^2-4 = 4x^2+4x+1-4 = 4x^2+4x-3

Pour factoriser l'expression F, nous devons trouver deux nombres qui multipliés ensemble donnent 4*(-3)=-12 et qui additionnés ensemble donnent 4. Les deux nombres qui satisfont à ces conditions sont 6 et -2. Ainsi, nous pouvons factoriser F en utilisant la méthode de décomposition en produits :

F = 4x^2+4x-3 = 4x^2+6x-2x-3 = 2x(2x+3)-1(2x+3) = (2x+3)(2x-1)

Ainsi, l'expression F peut être factorisée en (2x+3)(2x-1). Le minimum de F est atteint lorsque 2x+3=0, ce qui donne x=-3/2. La ligne de symétrie de la parabole représentée par F est donnée par x=-3/2.

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Answer:

(-4,-3)

Step-by-step explanation:

The point at which the two lines intersect each other will be the solution of the given system of equations . From the graph it cuts at ( -4,-3)

Answer:

( - 4, - 3 )

Step-by-step explanation:

The point is located in the III quadrant.

The nature of points in III quadrant is ( - x, - y )

So,

( - 4, - 3 ) is the correct answer.

The stem-and-leaf plot represents data in the form of stem values and leaf values. The stem values are on the left side and the leaf values are on the right side of the plot. Each stem corresponds to a group of values and the leaves represent the individual values within that group.

From the given plot, we can see that the stem values range from 6 to 9 and the leaves range from 0 to 9. The smallest value in the data set is obtained by combining the smallest stem value (6) with the smallest leaf value (0), which gives 60. The largest value is obtained by combining the largest stem value (9) with the largest leaf value (2), which gives 92.

Therefore, the data represented by the stem-and-leaf plot range from 60 to 92. The answer is (B) 61; 92, which is the closest choice to the actual range.

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Answer:

7 nickels

20 dimes

5 quarters

Step-by-step explanation:

n=nickels. d=dimes. q=quarters

n+d+q=32

0.05n+0.1d+0.25q=3.60

d=8+n+q

Solve for number of dimes:

d-8=8-8+n+q

d-8=n+q

d-d-8=n+q-d

-8=n+q-d

  32=n+q+d

-  (-8=n+q-d)

32 - (-8) = n-n + q-q + d-(-d)

32 + 8 = d + d

40 = 2d

d = 20  => simplify

20=8+n+q  ==> substitute 20 for d (d=8+n+q)

20-8 = 8-8+n+q

n+q = 12

0.05n+0.1(20)+0.25q=3.60  ==> substitute 20 for d

0.05n + 2 + 0.25q = 3.60

(0.05n + 2 + 0.25q = 3.60)*100 ->remove the decimals by multiplying by 100

5n + 200 + 25q = 360

5n + 200 - 200 + 25q = 360 - 200

5n + 25q = 160

Solve for number of quarters:

(5n + 25q)/5 = 160/5  ==> simplify the equation

  n + 5q = 32

- (n + q = 12)

n-n + 5q-q = 32-12

0 + 4q = 20

4q = 20

q = 5  ==> simplify

Solve for number of nickels:

n+20+5=32  ==> plug in 20 for d and 5 for q  (n+d+q=32)

n+25=32

n+25-25=32-25  ==> solve for n

n=7 ==> simplify

n=7: 7 nickels

d = 20: 20 dimes

q = 5: 5 quarters

Answer:

(-8,-71)

Step-by-step explanation:

I assume by turning point it means the vertex:

\(y=x^2+16x-7\\y+71=x^2+16x-7+71\\y+71=x^2+16x+64\\y+71=(x+8)^2\\y=(x+8)^2-71\)

Now that we converted our equation to vertex form \(y=(x+h)^2+k\), we can see our vertex, or turning point, is (h,k)=(-8,-71)

A 1-sample t-test is a statistical method used to determine whether a sample of data is significantly different from a known or hypothesized population mean.

It is a common method used in scientific research and it can be used to test hypotheses in many different fields. The t-test compares the mean of a sample to a population mean, and it uses the t-distribution to calculate the probability that the sample mean is significantly different from the population mean. To perform a 1-sample t-test, you need to have a sample of data and a known or hypothesized population mean, and the test assumes that the data is normally distributed and that the variances between the sample and population are equal.

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Answer:

78.5 ft

Step-by-step explanation:

You had the right answer

Hope you got the clarification you needed! :)

Brainliest pls

165 votes

So we know that there would be 225 votes.

Explanation:

225 divide 25=11

Then lastly multiply 15 with 11.

Final Result: 165 votes

Answer: -880.75

Step-by-step explanation:

Step 1: Simplify 20.25 - 912 - 912 to -891.75

-891.75+11−891.75+11

Step 2: Simplify.

-880.75

Answer:

-880.75

Step-by-step explanation:

Therefore, the next number in the sequence is 43.

To find the next number in the sequence, let's examine the differences between consecutive numbers:

16 - 9 = 7

24 - 16 = 8

33 - 24 = 9

We can observe that the differences between consecutive numbers are increasing by 1 each time. Therefore, it suggests that the pattern in the sequence is adding consecutive integers to the previous number.

To continue the sequence, we add 10 to the last number in the sequence:

33 + 10 = 43

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Answer:

Least to greatest would be the following: 9, 9.125, 9.5, 9 3/4

Answer:

h(4)= -2 is the answer

Answer: I think it’s true

Step-by-step explanation:

Answer:

bcd= congruent property abstracted by -cdb

Step-by-step explanation:

fffffffffffffffffffffffffffffffffffffffffff

The selection chances and the required probability for 9 women and 6 men is given by ,

Different groups of applicants selection = 3003

Selection of trainee entirely of women = 126

Probability of selection of entirely women from 15 people = 4.19%

Total number of women = 9

Total number of men = 6

Total = 9 + 6

        = 15

The total number of groups of applicants that can be selected for the positions can be calculated using the combination formula,

nCr = n! / r!(n-r)!

where n is the total number of applicants (15),

And r is the number of positions to be filled (5).

Number of different groups of applicants that can be selected for the positions is,

15C5

= (15! )/(15-5)!5!

=(15! )/(10)!5!

= 3003

Number of different groups of trainees that consist entirely of women can be calculated by selecting 5 women from the 9 available,

9C5

= (9! )/(9-5)!5!

=(9! )/(4)!5!

= 126

Probability of selecting a group of five trainees ,

Consist entirely of women can be calculated by dividing the number of different groups of all-women trainees (126) by the total number of different groups of trainees (3003),

Required probability

= 126/3003

≈ 0.0419

Probability that the trainee class will consist entirely of women is approximately 0.0419, or 4.19% (rounded to four decimal places).

Therefore, for a group of 15 people,

Selection of different groups of people = 3003

Selection of trainee represents entirely women =126

probability of selecting entirely women = 4.19%

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Thus, the equation of tangent line to the curve y = 1/(1 + x^2) at the point (-1, 1/2) is y = (1/2)x + 1/2.

To find the equation of the tangent line to the curve y = 1/(1 + x^2) at the point (-1, 1/2).

First, we need to find the derivative of the given curve with respect to x. This will give us the slope of the tangent line at any point on the curve. The derivative of y = 1/(1 + x^2) with respect to x can be calculated using the chain rule:

y'(x) = -2x / (1 + x^2)^2

Now, we need to find the slope of the tangent line at the point (-1, 1/2).

To do this, we can plug x = -1 into the derivative:
y'(-1) = -2(-1) / (1 + (-1)^2)^2 = 2 / (1 + 1)^2 = 2 / 4 = 1/2

So, the slope of the tangent line at the point (-1, 1/2) is 1/2.

Now that we have the slope, we can use the point-slope form of a line to find the equation of the tangent line:
y - y1 = m(x - x1)

Here, m is the slope, and (x1, y1) is the point (-1, 1/2). Plugging in the values, we get:
y - (1/2) = (1/2)(x - (-1))

Simplifying the equation, we get:
y = (1/2)x + 1/2

So, the equation of the tangent line to the curve y = 1/(1 + x^2) at the point (-1, 1/2) is y = (1/2)x + 1/2.

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Answer:

-30x^3+5x^2

Step-by-step explanation:

Answer:

\(9a^{2}\)+6\(ab\)+\(b^{2}\)

Step-by-step explanation:

The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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Answer:

h=-18

Step-by-step explanation:

Here you go mate

Step 1

55 – -26h = -413  Question

Step 2

55 – -26h = -413

26h+55=-413

Step 3

26h+55=-413  Subtract 55

26h=-468

Step 4

26h=-468  Divide sides by 26

Answer

-18

Answer:

2.83

Step-by-step explanation: