How many different flag signals, each consisting of 7 flags hung vertically, can be made when there are 3 indistinguishable red flags, 2 blue flags, and 2 white flags

Answer:

$7.81

Step-by-step explanation:

First we're gonna find 25% of $6.25. To do so we change the percent to a decimal (.25) and multiply.

.25*6.25= 1.56 (rounded)

Since we are marking this UP we will add this 25% to the original $6.25.

6.25+1.56= 7.81

The new price is $7.81

Given that each roll is independent and that the odds of rolling a 2 are 1/6, the probability of receiving three 2s in a row is 1/216.

a. We can apply the multiplication principle to determine how many outcomes there are overall in the sample space.

There are 666 = 216 possible outcomes in the sample space because there are six outcomes for each die roll and we are rolling the die three times.

b. As each die roll is independent of the others, there is a 1/6 chance that any particular roll will result in a 2.

Therefore, the probability of getting three 2's in a row is (1/6)(1/6)(1/6) = 1/216.

So the probability of all three rolls being 2 is 1/216.

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The steel ratio of the section for the singly-reinforced concrete beam, with maximum steel for transition control allowed by the code, is approximately 0.0237.

To determine the steel ratio of the section for a singly-reinforced concrete beam with maximum steel for transition control allowed by the code, we can use the formula for the steel ratio:

Steel Ratio\((ρ) = (A_s) / (b_d)\)

where:

\(A_s\) is the area of the tension reinforcement steel

b is the width of the beam

d is the effective depth of the beam (distance to the centroid of the tension reinforcement)

Given:

Width of the beam (b) = 300 mm

Effective depth (d) = 520 mm

Concrete strength (f') = 32 MPa

Allowable stress for steel\((f_y)\)= 345 MPa

To find the maximum steel ratio allowed by the code, we need to determine the maximum allowable area of the tension reinforcement steel (A_s) based on the allowable stress\((f_y).\)

Using the formula for the area of the tension reinforcement steel:

\(A_s\)= (ρ) × (b) × (d)

We can rearrange the formula to solve for the steel ratio (ρ):

ρ =\((A_s) / (b_d) = (A_s)\)/ (300 mm × 520 mm)

To find the maximum allowable area of the tension reinforcement steel (A_s), we need to use the allowable stress \((f_y)\)and the concrete strength (f'):

\(A_s = (f_y / f') × (b_d)\)

Substituting the given values into the equation, we have:

A_s = (345 MPa / 32 MPa) × (300 mm × 520 mm)

   ≈ 3698.44 mm²

Now, we can calculate the steel ratio (ρ):

ρ = \((A_s)\)/ (300 mm × 520 mm)

   ≈ 3698.44 mm² / 156000 mm²

   ≈ 0.0237

Therefore, the steel ratio of the section for the singly-reinforced concrete beam, with maximum steel for transition control allowed by the code, is approximately 0.0237.

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Answer:

x² - x + 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(4x² - 2x - 3) + (-3x² + x + 7)

Step 2: Simplify

Given:

Principal (p) =$3,000

Time (T) = 48 months = 4 years

Interest rate = 4.5%

Required :

Ending balance = ?

The simple interest :

Ending balance :

Ending balance = $ 3540

Answer:

It looks like you want the point slope form of a line

y-4 = -2 (x +3)

Step-by-step explanation:

y -\(y_{1}\) = m(x- \(x_{1}\))  You plug in 4 for \(y_{1}\), -2 for m and -3 for\(x_{1}\)

y - 4 =(2(x - -3)  x - -3 is the same at x + 3

y-4 + -2(x + 3)

Answer:

7 hours and 50 minutes

7.5 is equal to 7 hours and 50 minutes

Answer:

10

Step-by-step explanation:

3(2x - 4) = 4(x + 2)

  6x - 12 = 4x + 8

 -4x          -4x

  2x - 12 = 8

       +12  +12

  2x/2 = 20/2

        x = 10

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = a2 - a1 = 1 - (-2) = 3

= a3 - a2 = 4 - 1 = 3

Here, Common difference is same everywhere and the value of d is 3

Then,

To find 6th term of this sequence

a6 = a5 + d

= 10 + 3

a6 = 13

To find 7th term of this sequence

a7 = a6 + d

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-TheUnknownScientist

Answer:

13, 16

Step-by-step explanation:

If the positive number is bigger than the negative, the answer would be positive. For example, let's use -2 and subtract it from positive 4, the answer would be positive 2.

Sorry if I'm wrong. I'm a bit rusty on terms

Answer:

30/34

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

what is the question?

Answer:

  D.  less than: 4 < 4.52

Step-by-step explanation:

The area of the circle is found using the given formula:

  A = π(1.2 in)^2 = 1.44π in^2 ≈ 4.52 in^2

The table tells you the area of a 2-inch square is 4 in^2.

Comparing the two areas, we see that ...

  4 < 4.52

The area of the square is less than the area of the circle.

Answer

La letra D es la respuesta. Menos que.

Step-by-step explanation:

Answer:

1st and 3rd pictures are not functions. 2nd one is a function.

Step-by-step explanation:

Perform the Vertical Line Test by drawing a line in the functions. If they touch the function twice, they are not a functions. However, if the line touches once, it's a function.

The confidence interval then takes the form of x ± margin of error, which in this example is 28 ± 1.9, or (26.1, 29.9). This means that we are 90% confident that the true population mean of newborn girl's weights lies between 26.1 and 29.9 hg. the critical value t0.05/2, which is 1.699.

To construct a confidence interval with a 90% confidence level, we need to find the critical value t0.05/2. This critical value is found by using the t-distribution with a confidence level of 90% (0.90) and degrees of freedom equal to the sample size minus 1 (180 - 1 = 179). We can then use this critical value to calculate the margin of error of the confidence interval, which is equal to the critical value multiplied by the standard error (s/√n). In this example, that results in a margin of error of 1.699*(6.2/√180) = 1.9.

To construct a confidence interval with a 90% confidence level, we need to find the critical value t0.05/2. This critical value is found by using the t-distribution with a confidence level of 90% (0.90) and degrees of freedom equal to the sample size minus 1 (180 - 1 = 179). The t-distribution is used instead of the normal distribution because it is better suited to smaller sample sizes. We can then use this critical value to calculate the margin of error of the confidence interval, which is equal to the critical value multiplied by the standard error (s/√n). In this example, that results in a margin of error of 1.699*(6.2/√180) = 1.9. The confidence interval then takes the form of x ± margin of error, which in this example is 28 ± 1.9, or (26.1, 29.9). This means that we are 90% confident that the true population mean of newborn girl's weights lies between 26.1 and 29.9 hg.

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QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

\(2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\ \)

SO :-

\(m = \frac{2}{3} \\ y - intercept = 12 \: ans\)

\(slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans\)

Answer:

increase

Step-by-step explanation:

Answer:

Increase, 300%

Step-by-step explanation:

36 inches is greater than 12 inches, therefore this is an increase. To find the percent of change, take the new amount, divide it by the original amount and multiply the result by 100 to get the percentage.

36/12 · 100 ⇒ 3 · 100 ⇒ 300

Therefore, the percent of change is 300%.

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Answer:

56

Step-by-step explanation:

1% of 70 is 0.7

0.7 x 80 is 56

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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Answer:

1

Step-by-step explanation:

The slope is rise over run. (rise/run)

Since the line rises 1 and goes to the right 1, the slope is 1. (1/1 = 1)

Brainliest Please. ;)

Answer:

hi bye

Step-by-step explanation:

(A) 16p² - 4 can be fully factorized as 4(4p + 2)(4p - 2). and  (B) (m + 5)(2m - 3)(4m + 1) can be written in the form am³ + bm² + cm + d

a) To factorize 16p² - 4, we can use the difference of squares formula:

a² - b² = (a + b)(a - b)

In this case, we have 16p² - 4, which can be written as (4p)² - 2². Applying the difference of squares formula:

16p² - 4 = (4p + 2)(4p - 2)

Further simplifying the expression:

16p² - 4 = 4(4p + 2)(4p - 2)

Therefore, 16p² - 4 can be fully factorized as 4(4p + 2)(4p - 2).

b) To write (m + 5)(2m - 3)(4m + 1) in the form am³ + bm² + cm + d, we will expand the given expression:

(m + 5)(2m - 3)(4m + 1)

Expanding using the distributive property:

= (m(2m - 3) + 5(2m - 3))(4m + 1)

= ((2m² - 3m) + (10m - 15))(4m + 1)

= (2m² + 7m - 15)(4m + 1)

Now, let's multiply the two binomials:

= 8m³ + 2m² + 28m² + 7m - 60m - 15

Combining like terms:

= 8m³ + (2m² + 28m²) + (7m - 60m) - 15

= 8m³ + 30m² - 53m - 15

Therefore, (m + 5)(2m - 3)(4m + 1) can be written in the form am³ + bm² + cm + d as: am³ + bm² + cm + d = 8m³ + 30m² - 53m - 15,

where a = 8, b = 30, c = -53, and d = -15.

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Answer:

y= -1/2x + 1/2

Step-by-step explanation:

First, use the point-slope formula: y-y1 = m(x-x1)

y-2 = -1/2(x-(-3))

y-2= -1/2x + -1.5

(subtract 2 from both sides)

y = -1/2x + 1/2

Marci can get 7 free comic books if she buys 68 comics. Therefore, option A, "7 free comic books" is the correct answer.

According to the question, the Comic Depot gives one free comic book to customers when they purchase 9 comic books. This means that a customer who buys 9 comic books gets one comic book for free. If a customer buys 18 comic books, he/she will get two comic books for free, and so on. We can find the relationship between the number of comic books a customer buys and the number of free comic books he/she gets by using a unitary method.

Let x be the number of comic books Marci buys and let y be the number of free comic books she gets. Since Marci gets one free comic book for every nine comic books she buys, we have that:

y = (1/9) x.

Rearranging the equation above to solve for x, we have that:

x = 9y

We are asked to find the number of free comic books Marci can get if she buys 68 comic books. Thus, we substitute x = 68 into the equation above to find the number of free comic books y:

y = (1/9)68 = 7.56

Thus, Marci can get 7 free comic books.

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Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

Step-by-step explanation:

There is a 1.8 N difference between the two forces

To find the difference between the size of the forces applied to two areas with different pressures, we need to use the formula:

Force = Pressure x Area

For the first force, with a pressure of 90 N/m² and an area of 0.09 m², the force can be calculated as:

Force1 = 90 N/m² x 0.09 m² = 8.1 N

For the second force, with a pressure of 70 N/m² and the same area of 0.09 m², the force can be calculated as:

Force2 = 70 N/m² x 0.09 m² = 6.3 N

Therefore, the difference between the size of the two forces is:

Force1 - Force2 = 8.1 N - 6.3 N = 1.8 N

So, the difference between the two forces is 1.8 N. The force with the higher pressure applies a larger force to the area, resulting in a larger force being applied overall.

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The combination of meters (m) and seconds (s) is used to measure speed or distance.

Here are the completed statements using the appropriate metric units: My friend is 2 METERS tall. My water bottle has a volume of 1.5 LITERS. My thumb is 2 CENTIMETERS wide. I bought 3 KILOGRAMS of apples at the store. A penny weighs about 3 GRAMS. I can run 60 METERS in 10 seconds. Explanation: Meters (m) is the metric unit used to measure length or height. Liters (L) is the metric unit used to measure volume or capacity. Centimeters (cm) is the metric unit used to measure small distances or widths.

Kilograms (kg) is the metric unit used to measure mass or weight. Grams (g) is a smaller metric unit used to measure mass or weight. The combination of meters (m) and seconds (s) is used to measure speed or distance. These metric units provide standardized measurements that are widely used across the world, making it easier to communicate and compare quantities.

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