Convert 5613, base 10 to
base 8​

Step-by-step explanation:

plsssssssssssssssssssssssssssssssssssssssssssssssssssssssdssssssssssssssssssssssssssssssssssssssssss do it don't be lazy.

The coordinates of the equation are (-2, -7), (-1, -5), (0, -3), (1, -1) and (2, 1)

The value of x and y in the given equation or in the graph is together represented by (x, y) and called coordinates.

Given is an equation, y = 2x-3

And we have x values = -2, -1, 0, 1 and 2, To find the corresponding value of y, we will use one by one the values of x in the equations,

When, x = -2,

y = -2(2) - 3

y = -7

(-2, -7)

When x = -1

y = 2(-1) - 3

y = -5

(-1, -5)

When x = 0

y = 2(0) - 3

y = -3

(0, -3)

When x = 1

y = 2(1)-3

y = -1

(1, -1)

When x = 2

y = 2(2) - 3

y = 1

(2, 1)

Hence, the value of y are -7, -5, -3, -1 and 1

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Answer: (1)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals. So, since the slope of the given line is 2/3, the slope of the line we want to find is -3/2.

Rearranging equations 1 and 2 into slope intercept form,

\(3x+2y=12 \implies 2y=-3x+12 \implies y=-\frac{3}{2}x+6\\\\3x-2y=12 \implies 2y-3x=-12 \implies 2y=3x-12 \implies y=\frac{3}{2}x-6\)

From this, we see that equation 1 is the answer.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The calculated  of the integral expression \(\int\limits^3_1 {xf''(x)dx\) is 4

From the question, we have the following parameters that can be used in our computation:

Also, we have

\(\int\limits^3_1 {xf''(x)dx\)

This means that we integrate the above expression twice

The first integration gives

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \int^3_1 f'(x)dx\)

Next, we have

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \left[f(x)\right]^3_1\)

When the equation is expanded, we have

\(\int\limits^3_1 {xf''(x)dx} = 3f'(3) - f(3) - (f'(1) - f(1))\)

Recall that f(1) = 8 and f(3) = −4 ;  '(1) = 5, and f '(3) = 1

When these values are substituted in the above equation, we have the following:

\(\int\limits^3_1 {xf''(x)dx} = 3(1) - (-4) - (5 - 8)\)

Evaluate the expressions in bracket

\(\int\limits^3_1 {xf''(x)dx} = 3 + 4 - 3\)

So, we have

\(\int\limits^3_1 {xf''(x)dx} = 4\)

Hence, the value of the derivative is 4

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Answer:

10

Step-by-step explanation:

\(\displaystyle \int^3_1xf''(x)\;\text{d}x\)

To evaluate the given definite integral, use integration by parts.

\(\boxed{\begin{minipage}{4.6 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}\)

Begin by working out which part should be u and which part should be dv/dx. As it is easier to differentiate x, and integrate f''(x), then:

\(\textsf{Let}\;u=x\)

\(\textsf{Let}\;\dfrac{\text{d}v}{\text{d}x}=f''(x)\)

Differentiate u with respect to x:

\(\dfrac{\text{d}u}{\text{d}x}=1\)

Integrate dv/dx to find v:

\(\displaystyle v=\int_a^b f''(x)\; \text{d}x=\left[\vphantom{\dfrac12}f'(x)\right]^b_a\)

Substitute the values into the integration by parts formula and evaluate the definite integral:

\(\begin{aligned}\displaystyle \int^3_1 x f''(x)\:\text{d}x &=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\int^3_1 f'(x)\:\text{d}x\\\\&=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\left[\vphantom{\dfrac12}f(x)\right]^3_1\\\\&=\left(3\cdot f'(3)-1\cdot f'(1)\right)-\left(f(3)-f(1)\right)\\\\&=3f'(3)-f'(1)-f(3)+f(1)\end{aligned}\)

Substitute the given values of f(1) = 8, f(3) = -4, f'(1) = 5 and f'(3) = 1:

                      \(\begin{aligned}&=3f'(3)-f'(1)-f(3)+f(1)\\\\&=3\cdot 1-5-(-4)+8\\\\&=3-5+4+8\\\\&=10\end{aligned}\)

Therefore, the evaluation of the given integral is 10.

The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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Step-by-step explanation:

the sum of an infinite geriatric series with |r| < 1 is

s = a1/ (1 - r)

in our case we have

a1 = 8

12 = 8/(1 - r)

12(1 - r) = 8

1 - r = 8/12 = 2/3

-r = -1/3

r = 1/3

so, the first 4 terms (I added a5 too, just in case your teacher meant the NEXT 4 terms) are

a1 = 8

a2 = a1 × 1/3 = 8/3

a3 = a2 × 1/3 = 8/9

a4 = a3 × 1/3 = 8/27

a5 = a4 × 1/3 = 8/81

...

Answer:

\(8,\quad \dfrac{8}{3},\quad \dfrac{8}{9},\quad\dfrac{8}{27}\)

Step-by-step explanation:

Sum to infinity of a geometric series:

\(S_\infty=\dfrac{a}{1-r} \quad \textsf{for }|r| < 1\)

Given:

Substitute given values into the formula and solve for \(r\):

\(\implies 12=\dfrac{8}{1-r}\)

\(\implies 1-r=\dfrac{8}{12}\)

\(\implies r=1-\dfrac{8}{12}\)

\(\implies r=\dfrac{1}{3}\)

General form of a geometric sequence: \(a_n=ar^{n-1}\)

(where a is the first term and r is the common ratio)

Substitute the found values of \(a\) and \(r\):

\(\implies a_n=8\left(\dfrac{1}{3}\right)r^{n-1}\)

The first 4 terms:

\(\implies a_1=8\left(\dfrac{1}{3}\right)r^0=8\)

\(\implies a_2=8\left(\dfrac{1}{3}\right)r^1=\dfrac{8}{3}\)

\(\implies a_3=8\left(\dfrac{1}{3}\right)r^2=\dfrac{8}{9}\)

\(\implies a_4=8\left(\dfrac{1}{3}\right)r^3=\dfrac{8}{27}\)

Answer:

The t-ratio is the estimate divided by the standard error. With a large enough sample, t-ratios greater than 1.96 (in absolute value) suggest that your coefficient is statistically significantly different from 0 at the 95% confidence level. A threshold of 1.645 is used for 90% confidence.

Step-by-step explanation:

Hope it help you.

Answer:

5419

Step-by-step explanation:

Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

Answer: f(x) is an odd function

Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.

Answer:

Step-by-step explanation:

(a) Mean:

To find the mean, we add up all the numbers and then divide by the total number of numbers:

65 + 99 + 5 + 16 + 97 + 69 + 79 + 82 + 86 + 23 + 73 = 694

The total number of numbers is 11.

Mean = sum of all numbers / total number of numbers = 694 / 11 = 63.09 (rounded to two decimal places)

Therefore, the mean is approximately 63.09.

(b) Median:

The median is the middle value when the data is arranged in numerical order. To find the median, we first need to put the numbers in order:

5, 16, 23, 65, 69, 73, 79, 82, 86, 97, 99

Since there are 11 numbers, the median is the middle number, which is 69.

Therefore, the median is 69.

(c) Mode:

The mode is the number that appears most frequently in the data. In this case, there is no number that appears more than once, so there is no mode.

Therefore, there is no mode.

(d) Midrange:

The midrange is the average of the largest and smallest values in the data set. To find the midrange, we first need to find the largest and smallest values:

Smallest value = 5

Largest value = 99

Midrange = (smallest value + largest value) / 2 = (5 + 99) / 2 = 52

Therefore, the midrange is 52.

(e) What do the results tell us?

The results tell us some information about the jersey numbers of 11 players randomly selected from the roster of a championship sports team. Specifically, we know the range of the numbers (5 to 99), the middle number (69), and the average number (approximately 63). However, we cannot make any conclusions about the significance of these numbers without more context about the team and the sport they play.

NOTE:

To find the mean temperature, we need to calculate the weighted average of all the temperatures in the distribution. We can do this by multiplying each temperature by its corresponding frequency, adding up these products, and then dividing by the total frequency.

Using the midpoint of each class interval as a representative value for the temperature, we have:

The midpoint of 40-44 is 42

The midpoint of 45-49 is 47

The midpoint of 50-54 is 52

The midpoint of 55-59 is 57

The midpoint of 60-64 is 62

To calculate the weighted average, we can use the following formula:

mean temperature = (sum of (midpoint * frequency)) / (sum of frequencies)

In this case, the sum of (midpoint * frequency) is:

(42 * 3) + (47 * 5) + (52 * 12) + (57 * 6) + (62 * 3) = 1266

The sum of frequencies is:

3 + 5 + 12 + 6 + 3 = 29

So the mean temperature is:

mean temperature = 1266 / 29 = 43.655

Comparing the computed mean to the actual mean of 57.7 degrees, we see that the computed mean is significantly lower. This suggests that the distribution is skewed to the left, with more low temperatures than high temperatures.

11 feet and 7 inches is the correct answer.

Answer:

Hes already taken and Hes cracked at Fortnit my dude

Step-by-step explanation:

the answer is 1 3/7 btw

Answer:

1 3/7 I got an 80% a B on this test because of this app :)

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

$106.25

Step-by-step explanation:

earns in 1 hour = $8.50

earns in 12.5 hr=  $8.50*12.5= $106.25

Answer:

106.25$

Step-by-step explanation:

The x- and y-components of the vector \(\mathbf{\hat a}}\) are 8.9 m/s² and -6.4 m/s², respectively.

In mathematics, components are the parts or elements that make up a larger structure or object. In the context of vectors, components refer to the parts of a vector that describe its direction and magnitude in a particular coordinate system.

To find the x-components and y-components of the vector \(\mathbf{\hat a}}\) = (11 m/s², 36 degrees left of -y-axis), we need to determine the direction of the vector. The notation "left of -y-axis" means that the vector makes an angle of 36 degrees with the negative y-axis, as measured counterclockwise from the negative y-axis.

The magnitude (or length) of the vector is given by the first component, which is 11 m/s².

The x-component of the vector can be found by multiplying the magnitude by the cosine of the angle:

x-component = magnitude x cos(angle) = 11 m/s² x cos(36°) = 8.9 m/s²

The y-component of the vector can be found by multiplying the magnitude by the sine of the angle:

y-component = magnitude x sin(angle) = 11 m/s² x sin(36°) = -6.4 m/s²

The negative sign indicates that the y-component is in the opposite direction of the negative y-axis.

Therefore, the x- and y-components of the vector \(\mathbf{\hat a}}\) are 8.9 m/s² and -6.4 m/s², respectively.

Expressed as an ordered pair, the components are (8.9 m/s², -6.4 m/s²).

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The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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The length of the rectangular garden given the area and width is 8/7 miles

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.

Area of a rectangular garden = length × width

16 = x × 14

16 = 14x

x = 16 / 14

x = 8/7 miles

Therefore, the length of the rectangular garden given the area and width is 8/7 miles.

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Answer:

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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob

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Answer:

your answer will be 9 cm

Step-by-step explanation:

I hope this helps u, have a great day !!!

The probability of more than 3 successes in 6 trials with a probability of success of 0.6 is 0.4558.

To calculate the probability of more than 3 successes in 6 independent trials with a binomial distribution where the probability of success is 0.6, we can use the cumulative distribution function (CDF) of the binomial distribution:

Pr(x > 3) = 1 - Pr(x ≤ 3)

To find Pr(x ≤ 3), we can use the binomial probability mass function (PMF) for each possible value of x and add them up:

Pr(x = 0) = (6 choose 0) × 0.6^0 × 0.4^6 = 0.0041

Pr(x = 1) = (6 choose 1) × 0.6^1 × 0.4^5 = 0.0409

Pr(x = 2) = (6 choose 2) × 0.6^2 × 0.4^4 = 0.1536

Pr(x = 3) = (6 choose 3) × 0.6^3 × 0.4^3 = 0.3456

Therefore, Pr(x ≤ 3) = 0.0041 + 0.0409 + 0.1536 + 0.3456 = 0.5442

Finally, we can calculate Pr(x > 3) as follows:

Pr(x > 3) = 1 - Pr(x ≤ 3) = 1 - 0.5442 = 0.4558

Therefore, the probability is 0.4558

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Answer:

Step-by-step explanation:

The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.

Answer:

4

Step-by-step explanation:

The integers are

x

x+1

x+2

x+3

x+4

since they are consecutive

The largest is x+4

The smallest is x

Difference is

x+4 -x

4

Answer:

Step-by-step explanation:

If the least integer is n, it means the five consecutive integers are:

n,n+1,n+2,n+3,n+4

Summing all integers we have:

n + n+1+n+2+n+3+n+4

=5n+10

The mean of this integers is

5n+10 /5 =19

5n+10=19*5

5n + 10 = 95

5n = 95 - 10

5n =85

n=85/5=17

The smallest of the integer is n= 17

The largest integer is n + 4 =17+4=23

The difference between the least and largest integer would be;

Is 4

The sum of largest integer and the smallest integer is 23 + 17 = 40

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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x represent the number of bats

y represent the number of balls

The inequalities are

x ≥ 4

y ≥ 8

15x + 5y ≤ 120

To determine the combination that the coach should buy, we would substitute the values of x and y in the different combinations. We have

For x = 6, y = 10

15(6) + 5(10) = 140

This is greater than 120

For x = 3, y = 10,

15(3) + 5(10) = 95

This is less than 120 but x is less than 4

For x = 4, y = 9,

15(4) + 5(9) = 105

The cost is less than 120 and the conditions for x and y are satisfied. Thus, the correct option is

4 bats,