What is 10 x 2^23 - 6(7+5)?

Answer:

4.5 hope this helps if see well there

To find the mass of the thin bars, we need to integrate the density function over the given interval. The density function is given as p(x) = 1 + sin x, for 0 ≤ x ≤ π.

We know that density is defined as mass per unit volume. In this case, the density function represents the mass per unit length. So, to find the mass of the thin bars, we need to integrate the density function over the given length.

The formula for mass is given as:

m = ∫ρ(x)dx

where m is the mass, ρ(x) is the density function, and dx is the infinitesimal length element.

So, in this case, we have:

m = ∫(1 + sin x)dx

Integrating this expression, we get:

m = x - cos x + C

where C is the constant of integration.

Now, we need to evaluate this expression for x = π and x = 0 and subtract the two to get the mass of the thin bars.

m = π - cos π - (0 - cos 0)

m = π + 1

Therefore, the mass of the thin bars with the given density function is π + 1.

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The probability that a sample of 130 steady smokers spend between $19 and $21 by using normal probability distribution is 0.897.

The probability distribution that would be symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The formula for normal probability distribution is-

z = (x - μ)/σ

where is the z is the standard normal variate or z-score.

x is the range of the values. ( = 19 to 21)

μ is the mean. (=20)

σ is the standard deviation. (=7)

n is sample size = 130

How likely it is that a sample of 130 regular smokers will spend within $19 and $21?

This is the result of subtracting the pvalue of Z when X = 19 from of the p-value for Z when X = 21.

By central limit theorem;

s = σ/√n

s = 7/√130

s = 0.61

So,

When x = 21

z = (21 - 20)/0.61

z = 1.63  ( p-value of 0.948 taken from z-table)

when x = 19

z = (19 - 20)/ 0.61

z = -1.63 ( p-value of 0.051 taken from z-table)

The probability is 0.948 -  0.051

Probability = 0.897

Therefore, the probability that a sample of 130 steady smokers spend between $19 and $21 is 0.897.

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Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation:

The fraction of the day will the clock show the correct time is 1/2.

For the given question;

A required fraction is indeed the number of correct answers divided by the total number of attempts.

There are 720 total times by the digital clock because there are 60 minutes in such an hour and 12 hours on a clock.

We directly count the correct times; let x:yz be a correct time, where x is a total from 1 to 12 as well as y and z have been digits, where y<6.

The following x values will display the right time: 2, 3, 4, 5, 6, 7, 8, and 9.

The following values will display the right time: 0, 2, 3, 4, and 5.

The following z values will display the right time: 0, 2, 3, 4, 5, 6, 7, 8, and 9.

The correct times are-

= 8×5×9

= 360

The fraction needed is-

= 360 /720

= 1/2

Thus, the fraction of the day will the clock show the correct time is 1/2.

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If we use the method of completing the square to solve the quadratic equation x² + 5x - 1 = 0, we have to add (-25/4) to convert it to (x + 5/2)²  - 29/4 = 0

The standard form of a quadratic equation is:

ax² + bc + c = 0

In this case, the quadratic function is:

x² + 5x - 1 = 0

To solve it using the "complete the square" method, write the equation as:

(x + 5/2)² - 1 + .... = 0

The blank part in the above equation means we need to add a number to make the equality still holds.

Note that:

(x + 5/2)² = x² + 5x + 25/4

Hence,

(x + 5/2)²  - 1  =  x² + 5x + 25/4 - 1

Hence, we need to add (-25/4) to make the original equality holds:

(x + 5/2)² - 1 + (-25/4) = 0

(x + 5/2)²  - 29/4 = 0

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The format element that will display the value of Friday in a specified date as a 6 is option B, DD.

The format element that will display the value of Friday in a specified date as a 6 is option B, DD. DD displays the day of the month as a two-digit number, for example, 01 for the first day of the month and 31 for the last day of the month. It does not display the day of the week. Option A, D, displays the day of the week as a single-digit number, for example, 1 for Monday and 7 for Sunday. Option C, DDD, displays the abbreviated name of the day of the week, for example, Fri. Option D, DAY, displays the full name of the day of the week, for example, Friday. Therefore, option B, DD, is the correct answer to the question.
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Answer:

27

Step-by-step explanation:

9x3 is 27. Coefficient is the number in the term.

Answer:

5, 6, 9, 15

Also:

Plz mark me brainliest :)

Answer:

3:5, 6:10, and 9:15

Step-by-step explanation:

the two points are

A(4,56) and B(5,70)

so, the linear equation is

thus, the equation is

y = 14x + 0

so we can put 14 in first place and 0 in second

if k = 22, then (x-4) is a factor of equation f(x) = x³ - 9x² + 16x - 8.

Factorization is the process of expressing a mathematical expression, number, or polynomial as a product of simpler or more fundamental elements. In algebra, factorization involves finding the factors of a polynomial, which are the expressions that can be multiplied together to obtain the polynomial. For example, the polynomial x^2 + 3x + 2 can be factored into (x+1)(x+2).

If (x-4) is a factor of f(x), then x=4 will satisfy the equation

f(x) = x³ - 9x² + kx - 8.

0=(4)³-9(4)²+k(4)-8

88=4k

k=22

hence, if k = 22, then (x-4) is a factor of  f(x) = x³ - 9x² + 16x - 8.

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The total area of the given figure is 34 square meter.

The figure can be divided into two triangles and one rectangle. The triangle at one end is 3 m long and 4 m high, while the triangle at the other end has a base of 4 m and a height of 3 m. The rectangle in between has a length and width of 4 m.

The total area of the triangles is 1/2 ×Base×Height= 1/2×3×4 + 1/2×4×3

= 18 m²

The total area of the rectangles is 4 × 4 = 16 m²

The total area of the figure is 18 + 16 = 34 m²

Therefore, the total area of the given figure is 34 square meter.

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Total ways can 4 seniors and 2 juniors be chosen to participate in a charity event is 1,91,100.

There are 16 seniors and 15 juniors in a particular social organization and

4 seniors and 2 juniors had to be chosen to participate in a charity event.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by \(^nC_r\) and it is given by,                   \(^nC_r = \frac{n!}{r!(n-r)!}\) , where 0 ≤ r ≤ n.

Therefore the total ways that 4 seniors and 2 juniors be chosen to participate in a charity event = \(^{16}C_{4}.^{15}C_{2}\)

= \(\frac{16!}{4!(16-4)!}$\times \frac{15!}{2!(15-2)!}\)

= 1820 × 105

= 1,91,100

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The complete question is:

There are 16 seniors and 15 juniors in a particular social organization. In how many ways can 4 seniors and 2 juniors be chosen to participate in a charity event?

Main Answer:The relationship that is always true is: d. mean = median = mode

Supporting Question and Answer:

How can we determine if a distribution is perfectly symmetrical?

To determine if a distribution is perfectly symmetrical, we can examine the relationship between the mean, median, and mode of the data. If the mean, median, and mode are all equal, it indicates a perfectly symmetrical distribution. This means that the data is evenly distributed around the center, resulting in a balanced distribution.

Body of the Solution:For a perfectly symmetrical distribution, the relationship that is always true is:

d. mean = median = mode

In a perfectly symmetrical distribution, the mean, median, and mode will all have the same value because the data is evenly distributed around the center. This means that the average value (mean), the middle value (median), and the most frequently occurring value (mode) will all be equal in a symmetrical distribution.

Final Answer: Therefore, a perfectly symmetrical distribution, the relationship that is always true is: d. mean = median = mode

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The relationship that is always true is: d. mean = median = mode

To determine if a distribution is perfectly symmetrical, we can examine the relationship between the mean, median, and mode of the data. If the mean, median, and mode are all equal, it indicates a perfectly symmetrical distribution. This means that the data is evenly distributed around the center, resulting in a balanced distribution.

:For a perfectly symmetrical distribution, the relationship that is always true is:

d. mean = median = mode

In a perfectly symmetrical distribution, the mean, median, and mode will all have the same value because the data is evenly distributed around the center. This means that the average value (mean), the middle value (median), and the most frequently occurring value (mode) will all be equal in a symmetrical distribution.

Therefore, a perfectly symmetrical distribution, the relationship that is always true is: d. mean = median = mode

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A regular hexagon has six lines of symmetry to map onto itself using reflections.

The number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

The given shape is hexagon.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

A hexagon has six lines of symmetry. Each line of symmetry is a line that divides the hexagon into two equal halves that are reflections of one another. When all six lines of symmetry are present, the hexagon can be reflected over itself.

Therefore, the number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

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Answer:

1407.4 cm³ to nearest tenth

Step-by-step explanation:

volume of cyclinder =  π r² h , where r is radius and h is the height.

volume = π (8)²  (7)

= 7 (64) π

= 448π

= 1407.4 cm³ to nearest tenth

Answer:

x ≥ -4

Step-by-step explanation:

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

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The velocity of the Pacific plate, expressed in centimeters per year (cm/yr), can be determined from the slope of the best-fit line in a geologic study.

In a geologic study, if data points representing the position of the Pacific plate are collected over a period of time, a best-fit line can be calculated to represent the trend of plate movement.

- The slope of this line represents the rate of change of position over time, which corresponds to the velocity of the plate. By examining the slope of the best-fit line and converting it to centimeters per year, we can determine the velocity at which the Pacific plate is moving.

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The portfolio's return can be calculated by multiplying the weights of each investment by their respective returns and summing them up. However, without information on the weights of the investments, the portfolio's return cannot be determined accurately.

To calculate the portfolio's return, we need to know the weights of each investment, which represent the proportion of the total portfolio value allocated to each asset. Without this information, we cannot determine the exact portfolio return.

However, if we assume equal weights for simplicity, the average return of the portfolio can be estimated. In this case, the portfolio consists of $1,000 invested in Disney with a 15% return and $5,000 invested in Oracle with an 18% return.

Using equal weights, the estimated portfolio return can be calculated as follows:

Portfolio return = (Weight of Disney × Return of Disney) + (Weight of Oracle × Return of Oracle)

Assuming equal weights, the portfolio return would be:

(0.5 × 15%) + (0.5 × 18%) = 7.5% + 9% = 16.5%

Therefore, with equal weights, the estimated portfolio return would be 16.5%. However, please note that without accurate information on the weights of the investments, the exact portfolio return cannot be determined.

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Answer:

y = 45/2

Step-by-step explanation:

Given:

y = 4x - 1 1/2

find the value of y when x=6

y = 4x - 1 1/2

Substitute x = 6 into the equation

y = 4(6) - 1 1/2

y = 24 - 1 1/2

** 1 1/2 = 3/2

y = 24 - 3/2

y = (48-3) / 2

y = 45/2

y = 45/2 when x = 6

We can see that 36 can be arranged in 4 as 6 rows of 6 seeds each, in 6 as 6 rows of 6 seeds each, and in 9 as 4 rows of 9 seeds each.  The smallest number of seeds that can be arranged in 4, 6, and 9 is 36.

To find the smallest number of seeds that can be arranged in 4, 6 and 9, we need to determine the least common multiple (LCM) of these numbers.

LCM of 4, 6, and 9 can be obtained by finding the prime factors of each number. Then the highest powers of all the factors are multiplied.

Therefore,4 = 2²6 = 2 × 39 = 3²LCM of 4, 6 and 9 = 2² × 3² = 36.

Hence, the smallest number of seeds that can be arranged in 4, 6, and 9 is 36.

To verify this, we can see that 36 can be arranged in 4 as 6 rows of 6 seeds each, in 6 as 6 rows of 6 seeds each, and in 9 as 4 rows of 9 seeds each.  The smallest number of seeds that can be arranged in 4, 6, and 9 is 36.

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Answer:

A = (1/2 x b x h ) 4 + l^2

= 1/2 x 5 x 8 x4 + 5 x 5

80 + 25

= D. 105 cm2

Answer:

105

Step-by-step explanation:

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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