What is the perimeter of a regular octagon if each it's each side is 'a' units?
(a) a units
(b) 8 a cm
(c) 8 a units
(d) 64 units​

We can conclude that the probability that the sample mean is greater than $37,000 is 44.4%.

So, we know that:

Determine the z-score first:

We must use a normal distribution table to determine:

Since the probability:

Consequently, there is a 44.4% chance that the sample mean is higher than $37,000.

Therefore, we can conclude that the probability that the sample mean is greater than $37,000 is 44.4%.

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Answer:

x=5

Step-by-step explanation:

Answer:

65--but the method is the important part that the directions indicated.

Step-by-step explanation:

26 + 39

(2 × 13) + (3 × 13)

The GCF is 13.

Factor the 13 out; it's like Distributive Property in reverse.

13 (2 + 3)

13 (5)

65

26+39= 65, so we obtain the same answer as just adding, by using GCF and Distributive Property.

Answer:

  13(2 +3)

Step-by-step explanation:

26 = 2·13

39 = 3·13

The greatest common factor is 13, so the sum can be written ...

  26 +39 = 13(2 +3)

_____

Additional comment

Of course, the value of the sum is ...

  13(2+3) = 13(5) = 65

Alternatively, the sum can be evaluated as ...

  26 +39 = 26 -1 +1 +39 = (26 -1) +(1 +39) = 25 +40 = 65

The slope of the line is -300

The y-intercept of the line is 2000

The linear function is f(x) = -300x + 2000.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

we have,

Let x be the time passed, in hours.

Let y be the amount of fluid left in the IV, in mL.

If fluid drips at a rate of 300 ml per hour.

And 1400 ml of fluid remain after 2 hours.

The linear function can be modeled as:

f(x) = y = -300x + 2000 _____(1)

Put x = 2 in (1)

f(2) = -300 x 2 + 2000 = -600 + 2000 = 1400

The linear function is in the form of an equation of a line with slope m and y-intercept c:

y = mx + c

So,

Slope of the line = m = -300

The y-intercept = c = 2000

Thus,

The slope of the line is -300

The y-intercept of the line is 2000

The linear function is f(x) = -300x + 2000.

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Answer:

I think that the answer is Cezanne.

Step-by-step explanation:

Because Michelangelo, Raphael, and De Vinci were the greatest of all time, so they were most likey commissioned by the Medici family

Answer:

C. Cezanne

Step-by-step explanation:

The Medici Family supported the work of Botticelli, Leonardo da Vinci, Michelangelo, and Raphael.

Have a good day!

The coordinate plane, also known as the Cartesian plane, is a two-dimensional plane that is used to plot and locate points using a set of two perpendicular axes. The horizontal axis is called the x-axis and the vertical axis is called the y-axis.

The point where the two axes intersect is called the origin, which is usually denoted by the coordinates (0,0).

Each point in the plane can be located by its unique pair of coordinates (x,y), where x represents the horizontal distance from the origin and y represents the vertical distance from the origin.

To find the slope of the line passing through vertices A and B, we need to use the formula:

slope \(= (y2 - y1)/(x2 - x1)\)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

To find the slope of the line passing through vertices A(-2, 1) and B(-4, 2), we can use the slope formula:

slope = (change in y)/(change in x)  \(= (y2 - y1)/(x2 - x1)\)

Substituting the coordinates of A and B into the formula, we get:

slope  \(= (2 - 1)/(-4 - (-2)) = 1/-2 = -1/2\)

Therefore, the slope of the line passing through vertices A and B is -1/2.

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Answer:

B

There is no friction

Step-by-step explanation:

if the object is stationary , it's not moving, no forces acting on it how can it produces friction ?

The correct answer of a) the probability that exactly ten requests are received during a particular 5-hour period- 0.028, b) the probability that they do not miss any calls for assistance- 0.5 and c) 0.75 calls would you expect during their break.

a) Probability of receiving exactly 10 requests in 5 hours can be calculated as shown below:

Mean rate of occurrence in 1 hour = a = 6

Therefore, the mean rate of occurrence in 5 hours = 5a = 5 × 6 = 30

The probability of receiving exactly 10 requests in 5 hours can be calculated as P(X = 10) = (30^10 e^(-30))/10! = 0.028

b) The probability of missing a call during lunch hour is 0.5 because the lunch break is for 30 minutes out of the 1 hour.

Therefore, the probability that the towing service does not miss any calls for assistance is 1-0.5 = 0.5.

c) The number of requests the towing service receives during their break follows a Poisson process with a rate of a/2 = 6/2 = 3 calls/hour.

Hence, the expected number of calls during their break of 30 minutes is: Mean rate of occurrence in 30 min = 3/2.

Therefore, the expected number of calls during the 30-min lunch break is: E(X) = (3/2) × (30/60) = 0.75 calls.

Therefore, the expected number of calls during the break is 0.75.

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Answer: 4x^2+16x-2

Step-by-step explanation:

You need to use BEDMAS order. (Brackets, exponents, division & multiplication left to right, addition & subtraction left to right)

Since there is nothing else you can do to the brackets, leave it for now.

There is also nothing you can do to the exponents, since you can't square a variable you don't know the value of.

Now, we do division & multiplication (there is no division in this case)

2x(3x + 4)−2x^2+8x-2 (start with the underlined section, using distributive property)

6x^2+8x−2x^2+8x-2

Now, since this is not an equation (no equal sign) but an expression, we just need to combine like terms.

6x^2+8x−2x^2+8x-2 (start with the x^2 terms. 6-2=4, so we end up with 4x^2)

4x^2+8x+8x-2 (now move on to the x terms. 8+8=16, so we end up with 16x)

4x^2+16x-2

And we're done! No more like terms to combine!

Answer:

Constant

Step-by-step explanation:

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

B. is your answer

Step-by-step explanation:

\(x^2+6x+8\\\\x^2+4x+2n+8\\\\x(x+4)+2(n+4)\\\\answer : (x+4)(x+2)\)

Answer: 0.67%

Step-by-step explanation:

Answer:

2.14x10^12=  Two and fourteen hundredths times ten to the second power

                  OR

14x10^2   = Fourteen times ten to the second power

Is that a 2.14 or 14?

Answer:(-2,-4)

Step-by-step explanation:

1) The line integral value is : ∫F dr = 6

2) The line integral value is : ∫F dr = 6

3) The line integral value is : ∫F dr = 6

Here we are given:

\(F.dr = (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)

where\(\vec{F}\) is a conservative field

So,

f(x, y , z) = \(\int\limits (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)

f(x , y , z) = (3zx +2yx) + (2xy - 2zy) + (3xz - 2yz) + c(x , y , z)

\(f(x, y, z) = (6xz + 4xy - 4yz) + c(x, y, z)\)

Now substitute the values of x , y ,z ,

1)

Line segment from (0, 0 , 0) to (1,1 ,1)

∫F dr = f(1,1,1) - f(0,0,0)

= |6 + 4 - 4 |- |0 + 0 - 0|

∫F dr = 6

2)

Line segment from (0,0,0) to (0,0,1) to (1,1,1)

First we take (0,0,0) to (0,0,1)

\(\int _c \vec{F}.\vec{dr}=f(0,0,1)-f(0,0,0) =[6(0)(1)+4(0)(0)-4(0)(1)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\)

∫F dr = 0

\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+6 [F.dr = 6\)

3)

Line segment from (0,0,0) to (1,0,0) to (1,1,0) to (1,1,1)

First we take (0,0,0) to (1,0,0)

\(\int _c \vec{F}.\vec{dr}=f(1,0,0)-f(0,0,0) =[6(1)(0)+4(1)(0)-4(0)(0)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\int _{c}\vec{F}.\vec{dr}=0\)

Next we take (1,0,0) to (1,1,0)

\(\int _c \vec{F}.\vec{dr}=f(1,1,0)-f(1,0,0) = [6(1)(0) + 4(1)(1) − 4(1)(0)] - [6(1)(0) + 4(1)(0) — 4(0)(0)] = [0+4-0] - [0+0-0]\int _{c}\vec{F}.\vec{dr}=4\)

Lastly we take (1,1,0) to (1,1,1)

\(F.dr = f(1,1,1) ƒ(1,1,0) = [6(1)(1) +4(1)(1) − 4(1)(1)] - [6(1)(0) + 4(1)(1) — 4(1)(0)] =[6+4-4]-[0+4-0]\int _{c}\vec{F}.\vec{dr}=2\)

Adding the three results we get

\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+4+2\\\\\int\limits F.dr = 6\)

Therefore we see that the Line integral for the three cases comes out to be same between the initial and final points since it is independent of the path taken.

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Since the polynomial P(x) has rational coefficients, any additional roots must be found in conjugate pairs.  The given roots are 5+√3 and -√2. To find the additional roots, we take the conjugate of each root.

The conjugate of 5+√3 is 5-√3, and the conjugate of -√2 is √2. Therefore, the additional roots of P(x) are 5-√3 and √2. The polynomial P(x) can be factored as

\((x - (5+√3))(x - (5-√3))(x - (-√2))(x - √2), or equivalently, (x - 5 - √3)(x - 5 + √3)(x + √2)(x - √2).\)

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Based on inequalities, the expected total revenue generated from the sale of portable household generators by all the enterprises that sold at least 60 portable household generators during the quarter is greater than R900,000.

Inequality represents a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted as:

The average selling price of a portable household generator = R15,000

The number of portable household generators sold during the quarter ≥ 60

The expected total revenue ≥ R900,000 (R15,000 x 60)

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Answer:

92°

Step-by-step explanation:

\(\widehat{WV} = 88\textdegree\)

\(\widehat{WU} = 180\textdegree\)

\(\widehat{WV} + \widehat{VU} = \widehat{WU}\)

so VU = 180-88 = 92

Answer:

\(mVU=92\)

Step-by-step explanation:

The 95% confidence interval for the percentage of all auto accidents that involve teenage drivers is 13.10% to 20.59%.

This is calculated using the formula for the sample proportion.The sample proportion is calculated by dividing the number of teenagers at the wheel in accidents (94) by the number of accidents selected (582).

The sample proportion is 0.161.The margin of error is found by multiplying the critical value for the 95% confidence interval by the standard error. Using a calculator, the critical value is found to be 1.96 and the standard error is 0.019. Therefore, the margin of error is 1.96 x 0.019 = 0.037.

The lower limit of the confidence interval is 0.161 - 0.037 = 0.1310 and the upper limit is 0.161 + 0.037 = 0.2059.

: The 95% confidence interval for the percentage of all auto accidents that involve teenage drivers is 13.10% to 20.59%.

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Answer:

y=(x/2)+5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.

y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.

Answer:

y = 1/2x + 5

hope this helps :)

\(\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}\)

\(\Huge \textsf{Step-by-step explanation}\)

\(\LARGE \bold{\textsf{Step 1: Assign Variables}}\)

\(\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}\)

\(\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}\)

\(\large \bold{ \textsf{From the problem, we know that:}}\)

\(\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}\)

\(\large \bold{ \textsf{We can use this information to write two equations:}}\)

\(\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}\)

\(\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}\)

\(\LARGE \bold{\textsf{Step 3: Solve the system of equations}}\)

\(\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}\)

\(\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}\)

\(\large \textsf{Simplifying this expression gives us:}\)

\(\textsf{10\textit{p} + 10 = 260}\)

\(\large \textsf{Subtracting 10 from both sides:}\)

\(\textsf{10\textit{p} = 250}\)

\(\large \textsf{Dividing both sides by 10}\)

\(\textsf{\textit{p} = 25}\)

\(\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}\)

\(\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}\)

\(\large \textsf{So, 25 pizzas and 80 sodas were sold.}\)

----------------------------------------------------------------------------------------------------------

Answer:

C=62 maybe

Step-by-step explanation:

3x=x+20

-x    -x

2x=20

divide by 2

x=10

2*10=20+38=58

10+20=30

3*10=30

30+30=60+58=118

180-118=62

Answer: 1/2

Step-by-step explanation:

1) Put the equation into y=kx form

- add 4x to both sides

- divide by 8 on both sides to get y=1/2x

2) k is the constant of proportionality

Answer:

\(\huge\boxed{\sf -\frac{10}{11}}\)

Step-by-step explanation:

\(\displaystyle \frac{20}{2+(4)(-6)}\)

Solve parenthesis

\(= \displaystyle \frac{20}{2-24}\)

\(\displaystyle = -\frac{20}{22} \\\\= -\frac{10}{11} \\\\\rule[225]{225}{2}\)

The change in elevation will be 12 feet.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

When the train exits the gate, it climbs 170 feet up the first hill before dropping 164 feet down,the change in elevation will be:

= 176 - 164

= 12

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Answer:

(x^4) - 64x

Step-by-step explanation:

zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors

\(x^{1} *(x-4)^{3}\) becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4

now to write this in standard form

\(x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x\)

Answer:

y = -5x - 9

Step-by-step explanation:

y = -5x + b

6 = -5(-3) + b

6 = 15 + b

b = -9