what is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?

A. The population and the sample in the poll are Americans and the sample is 2700 adults.

B. The type of sampling used is a random sampling.

C. There are no bias in the sources used.

Sampling is simply used in research to get to get the needed information about a particular group of people.

In this case, the online article about an opinion poll says that "41% of Americans own a gun." The poll is based on online survey interviews with 2,700 adults chosen randomly.

This is a random sampling. In this case, everyone has an equal chance of being selected. There's no bias as it was fair.

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Answer:

T

F

F

F

T

Hope This Helped! :D

Answer:

ba p e x

Step-by-step explanation:

t

f

f

f

t

Therefore, the largest possible aggression score is 255.

This results in the aggression score wrapping around to the maximum value, causing an unintended behavior.

This is because an 8-bit unsigned integer has a range from 0 to 255, and subtracting 2 from the minimum value wraps around to the maximum value due to the overflow.

i. The largest binary integer that can be represented in an 8-bit unsigned integer is 11111111. Converting this binary number to decimal, we get 255. Therefore, the largest possible aggression score is 255.

ii. The problem that occurs if the initial aggression score is decreased by 2 is called an overflow. When the initial aggression score, which is already at its minimum value, is decreased by 2, it exceeds the maximum value that can be represented by an 8-bit unsigned integer. This results in the aggression score wrapping around to the maximum value, causing an unintended behavior.

iii. When the initial aggression score, which is represented as 00000001 in binary, is decreased by 2, we subtract 2 from it. In binary subtraction, 1 subtracted by 2 results in a borrow from the next bit, and the result is 11111111, which represents 255 in decimal. This is because an 8-bit unsigned integer has a range from 0 to 255, and subtracting 2 from the minimum value wraps around to the maximum value due to the overflow.

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Answer:

the answer is b

Step-by-step explanation:

first i did 18 divided by 6=3

then 8x7=56

3+56=59

59-12=47

8x2=16

47+16=63

Answer:

B.) 63

Step-by-step explanation:

18 divided by 6 = 3

8x7=56

3+56=59

59-12=47

8x2=16

47+16=63

Answer:Do you what it in vertex because if you do the answer is (-8,3)

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = - 7(x + 8)² + 3 ← is in vertex form

with (h, k) = (- 8, 3 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = - 7 < 0 , thus

(- 8, 3 ) is a maximum

Answer:

in five hours you will travel 153.75 miles

Hello!

What does this problem want:

==> how far will the car have traveled in 5 hours

What we must find ==> how many miles does the car travel in an hour

  \(\text{Rate}=\frac{61.5 \text{ miles}}{2 \text{ hours}} =30.75\text{ miles per hour}\)

Therefore: the car will travel in 5 hours

   5 * 30.75 = 153.75 miles

Hope that helps!

Answer: The area is 6.5

Answer:

1

Step-by-step explanation:

Answer:

2 = 1

Step-by-step explanation:

5y = ax + 5 and 1/4y = 1/10x - 1We need both formula in slope-intercept format...y=mx+bm=slopeb=y-intercept, value of y when x=05y = ax + 5Let's divide both sides by 5...(5y)/5=[(a/5)x]+(5/5)y=(a/5)x+1Any line parallel to this, must have a slope equal to a/5. 1/4y = 1/10x - 1Let's multiply both sides by 4...4[(1/4)y]=[(1/10)(4)x]-[(1)(4)]y=(4/10)x-4y=(2/5)x-4 2/5 = a/5 2=a

1. The number 406.2 x 10⁻³ in standard form is 0.4062. 2. value of b is 4.5 and value of n is 6

1. To convert a number in scientific notation to standard form, we move the decimal point to the left or right depending on the sign of the exponent.

In this case, since the exponent is negative, we move the decimal point three places to the left, giving us 0.4062.

2. (5 x 10⁶) (9 x 10⁻²) = 45 x 10⁴.

To multiply two numbers in scientific notation, we multiply the coefficients and add the exponents.

In this case, 5 x 9 = 45, and 10⁶ x 10⁻² = 10⁶⁻² = 10⁴.

Therefore, the product is 45 x 10⁴.

The value of b is 4.5, since we need to move the decimal point one place to the left to obtain a number between 1 and 10 ad the value of n is 6, since we need to add the exponents 4 + 2 = 6 to obtain the power of 10 in the scientific notation of the product.

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Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.

Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.

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Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Hannah collected more acorns than conkers.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9

Total conkers = 4 + 7 + 9 = 20

Ratio of conkers collected by Hannah to total conkers = 9/20

Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5

Total acorns = 3 + 1 + 5 = 9

Ratio of acorns collected by Hannah to total acorns = 5/9

LCM (9, 20) = 180

9/20 = (9 × 9) / (20 × 9) = 81/180

5/9 = (5 × 20) / (9 × 20) = 100/180

Hence Hannah collected more acorns than conkers.

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Let, the length of the other diagonal be X

According to the Question:

We know that:

▶ Area of rhombus = ½ × d1 × d2

⇒ 16 = ½ × 4 × d2

⇒ d2 = 32/4

⇒ 8 cm

Hope it helps u!! ✿

Answer:

7 minus x

Step-by-step explanation:

it says he decreased his cards

After analyzing all the critical paths  the maximum possible reduction in the project duration is 1 week. The correct option is d. 1 week.

To determine the maximum possible reduction in the project duration within the given budget, we need to analyze the critical paths and crashing costs.

The crashing cost per week for activity A is $540 in the first week and $1080 per week from the second week onwards. For activity E, it is $545 in the first week and $1350 per week thereafter. For all other activities, the crashing cost is $135 per activity per week in the first week and $405 per activity per week thereafter.

Considering the crashing budget of $2300, let's calculate the maximum reduction for each critical path:

A-B-C-D-E: The total crashing cost for this path is $1350 (for A and E) + $405 (for B, C, and D) = $1755 per week. With a budget of $2300, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Therefore, the maximum reduction for this path is 1 week.

A-F-E: The total crashing cost for this path is $1350 (for E) + $405 (for F) = $1755 per week. With the given budget, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Hence, the maximum reduction for this path is 1 week.

A-B-H-J-K-E: The total crashing cost for this path is $1350 (for A and E) + $810 (for B, H, J, and K) = $2160 per week. This path can be crashed for a maximum of $2300 / $2160 = 1.06 weeks. Thus, the maximum reduction for this path is 1 week.

A-S-T-E: The total crashing cost for this path is $1350 (for A and E) + $540 (for S and T) = $1890 per week. This path can be crashed for a maximum of $2300 / $1890 = 1.22 weeks. Hence, the maximum reduction for this path is 1 week.

After analyzing all the critical paths, we observe that the maximum possible reduction in the project duration is 1 week.

The correct option is d. 1 week.

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Answer:

-7

Step-by-step explanation:

2p-9=5p+12

2p-9-12=5p

-21=5p-2p

-21=3p

p= -21/3

p= -7

Answer: P=51

--

Steps for Solving Linear Equation: 20−9=5p+12

--

Subtract 9 from 20 to get 11.

\(11=5p+12\)

Swap sides so that all variable terms are on the left hand side.

\(5p+12=11\)

Subtract 12 from both sides.

\(5p=11-12\)

Subtract 12 from 11 to get −1.

\(5p=1\)

Divide both sides by 5.

\(p=5-1\)

Fraction 5−1​≈−0.2 can be rewritten as −51​=−0.2 by extracting the negative sign.

\(p=-51\)

The population of Nigeria in 2011 is 366.466 million people. The population of Nigeria in 2021 is 469.557 million people. In the year 2080, the population of Nigeria reaches 2 billion people.

As per the question,

                          P( t )   =   279\(( 1 + 0.0251 )^{t}\)        → 1

where,          P( t )   =   population in millions

                        t     =    number of years since 2000

⇒ Population of Nigeria in 2011,

Substitute t = 11 in 1,

P( t )   =   279\(( 1 + 0.0251 )^{t}\)

          =   279\(( 1 + 0.0251 )^{11}\)

          =   279\(( 1.0251 )^{11}\)

          =   279( 1.3135)

P( t )   =   366.466

⇒ Population of Nigeria in 2021,

Substitute t = 21 in 1,

P( t )   =   279\(( 1 + 0.0251 )^{t}\)

          =   279\(( 1 + 0.0251 )^{21}\)

          =   279\(( 1.0251 )^{21}\)

          =   279( 1.683)

P( t )   =   469.557

⇒ Year in which the population of Nigeria becomes 2 billion i.e. 2000 million

Substitute P( t ) = 2000 in 1,

P( t )   =   279\(( 1 + 0.0251 )^{t}\)  

2000  =   279\(( 1 + 0.0251 )^{t}\)

\(( 1 + 0.0251 )^{t}\)  =   2000 / 279

\(( 1 + 0.0251 )^{t}\)  =   7.16845878

By applying log on both sides,

t log( 1.0251 )   =   log( 7.16845878 )

t   =    log( 7.16845878 ) / log( 1.0251 )

t   =   79.4547 ≅  80

Therefore, The population of Nigeria is 366.466 million in 2011, 469.557 million in 2021 and 2000 million i.e. 2 billion in 2080.

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The complete question is

The population of Nigeria can be modelled by the function

                             P( t )   =   279\(( 1 + 0.0251 )^{t}\)  

where measures the population in millions and represents the number of years since 2000. using this model, what was the population of Nigeria in 2011? predict the population of Nigeria in 2021. if this growth rate continues, in what year will the population of Nigeria reach 2 billion people?

Part b: There is one term in each factor of the expression 5(6 + 4x).

Part c: The coefficient of the variable term is 5.

What is an expression?

An expression in mathematics is a combination of numbers, variables, and operators that represents a value or a set of values. An expression can be a single term, such as 3x, or it can be a combination of terms, such as 5x + 2y - 3. An expression does not have to be in any particular form and can contain multiple operators and parentheses.

Part b: There is one term in each factor of the expression 5(6 + 4x).

Part c: The coefficient of the variable term is 5.

Hence,

Part b: There is one term in each factor of the expression 5(6 + 4x).

Part c: The coefficient of the variable term is 5.

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The two triangles called congruent if two sides the associated angle in one triangle is congruent with two sides and the contained angle in the other triangle.

According to the Side-Angle-Side theorem of congruency, two sides and the angle they produce are congruent if they are equivalent to two sides as well as the angle of another triangle.

Thus, two triangles are termed to be comparable if their two sides are in the same ratio as the two sides of some other triangle and their two sides' angles inscribed in both triangles are equal.

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Answer:

C is correct

Step-by-step explanation:

Firstly, we have to solve for x in the solution set of the inequality

We have this as follows;

x + 2 ≥ 6

x ≥ 6-2

x ≥ 4

To graph this, we consider the middle sign which is greater than or equal to

So, the inequality sign has to face the right side

secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol

so, the correct answer here is option C

Writing linear equations given two points can be a useful skill when graphing linear equations.

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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There are three ways to name an angle--by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

You can name a specific angle by using the vertex point, and three points on each of the angle's rays or by letter or number written. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle. You can also name angles by looking at their size. Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

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The volume of the cylinder can be obtained from the calculation as  1356 \(cm^3\)

We know that the volume of the cylinder is;

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)

h is the height of the cylinder (the distance between the bases)

By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.

V = π\(r^2\)h

V = 3.14 *\((12/2)^2\) * 12

h = 1356 \(cm^3\)

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Answer:

7.6 is greater then -8.5 its a negative

Step-by-step explanation:

The solution is D) The formula is true whenever n is a positive integer because we have completed both the basis and inductive steps, the assertion is true for any positive integer according to the concept of mathematical induction.

As per the idea of mathematical induction, to lay out a proclamation is valid for each sure whole number n, we should initially show that it is valid for n = 1 (the establishment step), and afterward, show that assuming the assertion is valid for some irregular number k, it should likewise be valid for k + 1.

Option D accurately says that both the basis and inductive steps have been completed, implying that the assertion is true for n = 1 and, if it is true for k, also true for k + 1.

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The question is -

Explain why these steps show that this formula is true whenever n is a positive integer.

Multiple Choice

A)We have completed the inductive step. so by the principle of mathematical induction, the statement is true for every positive integer n.

B) We have completed both the basic step and the inductive step, so by the principle of mathematical induction, the statement is true for every real number.

C) We have completed both the basic step and the inductive step, so by the principle of mathematical induction, the statement is true for every integer 2.

D) We have completed both the basic step and the inductive step, so by the principle of mathematical induction, the statement is true for every positive integer.

E) We have completed the inductive step, so by the principle of mathematical induction, the statement is true for every integer.

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

A.

Step-by-step explanation:

The line with length 2x - 9 is a bisector.

14 = 2(2x-9)

7 = 2x - 9

16 = 2x

x = 8

The correct answer is Option A.