4 divided by 5yards 1 foot

Answer:

Step-by-step explanation:

The probability of each number is same:

So P(7) is also 1/8.

Correct choice is B

Answer:

-2 - 2i

Step-by-step explanation:

open the bracket

1 - 6i - 3 + 4i

1 - 3 + 4i - 6i

-2 - 2i

Answer:

-2 - 2i

Step-by-step explanation:

Add the real numbers (1 and (-3) ) and add the complex numbers [ 4i  and (-6i) ]

(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i

                        = 1 -3 - 6i + 4i

                        = -2 - 2i

The deans have a higher weighted mean score for business schools which is 3.8.

The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.

Weighed mean = (weightage x parameter)/no of parameters

The Weighted mean score for deans

= [(5×44)+(4×66)+(3×60)+(2×10)]/(44+66+60+10)

= 684/180

= 3.8

The Mean weigted score of recruiters

= [(5×31)+(4×34)+(3×43)+(2×12)]/(31+34+43+12)

= 444/120

= 3.7

Hence, The deans have a higher weighted mean score for business schools which is 3.8.

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Answer is D even tho u typo it i still got it so u do 25.75 from 8.00 yw.

Step-by-step explanation:

Firstly find the area if the parallelogram which is

=length of the base × vertical height

=

[tex]12m \times 5m[/tex]

=

[tex]60 {m}^{2} [/tex]

Now solve for the area of the circle

=

[tex]\pi {r}^{2} [/tex]

RADIUS = DIAMETER ÷2

[tex] \frac{4m}{2} [/tex]

=

[tex]2m[/tex]

so the area of the circle

=

[tex] \frac{22}{7} \times 2m \times 2m[/tex]

[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]

[tex]12.57 {m}^{2} [/tex]

subtract the area of the circle from the parallelogram

=

[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]

=

[tex]47.43 {m}^{2} [/tex]

Done

Answer:

= 5x +35

Step-by-step explanation:

Steps

5(x+7)

Apply the distributive law: ab+c) = ab + ac

5(x+7) =5x + 5: 7

=5X+5: 7

Multiply the numbers: 5 7= 35

= 5x +35

Answer:

d= 4[tex]\sqrt{2}[/tex] or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

d= [tex]\sqrt{(2-(-2))^{2} + (3-7)^{2} }[/tex]

d = [tex]\sqrt{16 + 16}[/tex]

d= 4[tex]\sqrt{2}[/tex] or 5.66

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80\left(1+\frac{0.10}{1}\right)^{1\cdot 3}\implies A=80(1.1)^3\implies A=106.48[/tex]

Answer:

7x²a(x + a)

Step-by-step explanation:

7x³a = 7 * x * x * x * a

7x²a² = 7 *x * x * a *a

Common factor = 7x²a

So we have to take the common factor from the two terms

7x³a + 7x²a² = 7x²a ( x + a)

Answer: C

Step-by-step explanation:

The minimum is the line furthest to the left, and they are both lined up. The median, the line inside the box, is on 12. The third quartile, the edge of the box on the right hand side, are the same for both graphs. However, test 1 has a lower first quartile, the edge of the box on the right hand side, than test 2.

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)

Answer:

[tex]3x + y = -4[/tex]

Step-by-step explanation:

We were given to points on the line we are trying to find, hence we are able to determine the slope/gradient.

[tex]( - 1, \: 1) \: and \: (1, \: 7) \\ slope = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ s = \frac{7 - 1}{1 - ( - 1)} \\ s = \frac{6}{2} [/tex]

Slope is equal to 3.

Since we have the value for the slope, we can now use one of the points on the line to determine the equation of the line.

note that the coefficient of x is the slope. In this case the A from the standard form (Ax + By= C) is the slope.

[tex] \\ let \: us \: use \: the \: point \: ( - 1, \: 1) \\ a = 3 \: \: \: \: y = 1 \: \: \: x = - 1\\ ax + by = c \\ 3( - 1) + 1 = c \\ - 3 + 1 = c [/tex]

[tex] - 2 = c \\ therefore \: the \: equation \: of \: the \\ \: line \: is \\ ax + by = c \\ 3x + y = - 4[/tex]

Answer:

Step-by-step explanation:

Answer:

1. Yes, all sides are congruent

2. Yes, the opposite sides are parallel

3. Yes, adjacent sides are perpendicular

Answer:

B

Step-by-step explanation:

the biggest portion of the pie graph is labeled comedy, so that would be your answer.

Answer:

x = 30º

Step-by-step explanation:

Let's call the midpoint of OP, R.

The triangle of OQR would be an equilateral triangle since OQ = OR as they are both radii and is OQR and ORQ are 60º, ROQ is also 60º, making the triangle equilateral. Because tangents meet a circle at 90º, the angle RQP would be 30º and since angles on a straight line add to 180º, the angle QRP would be 180-ORQ which is 120º. Now we know the 2 angles in triangle of QRP so we can work out the final angle since angles in a triangle add to 180º. So:

180 - 120 - 30 = 30º.

x = 30º

This would also prove that QR and RP are the same since base angles in an isosceles triangle are equal.

(i) 47 * 1 = 47

Why? This is because the Multiplication Identity Property states that any number w multiplied by 1 is equal to w

(ii) 135 * 0 = 0

Why? The Zero Property of Multiplication states that 0 multiplied by any number is 0.

(iii) 3 * 5 = 5 * 3

Why? The order numbers are multiplied in does not impact the answer's value according to the Commutative Property of Multiplication

(iv) 7 + 0 = 7

Why? The Zero Property of Addition states that 0 added to any number x is equal to x

(v) 125 * 315 - 125 * 215 = 125 * (315 - 215) = 12500

Why? The Distributive Property states that a * c - a * b = a * (c - b).

Answer:

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.

Step-by-step explanation:

Finding the solution of these 2 equations

Equating them :

Substitute in a equation to find y :

The solution is (3, 8).

The 1st explanation is the correct one.

Answer:

5

___    

y+5

Step-by-step explanation:

first

---->         3y                    2(y+5)

       ---------------------- +   ----------

         (y+2)(y+5)              (y+2)(y+5)  

then

---->   3y+2(y+5)

          ------------

          (y+2)(y+5)

then

---->  3y+2y+10

       ----------

        (y+2)(y+5)

then

-----> 5(y+2)

        ---------

        (y+2)(y+5)

then

-----> 5

     -------

       y+5

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

Answer:

-4x0 -6x -1

Step-by-step explanation:

I believe its true.

Answer:

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

Step-by-step explanation:

We are given the options,

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

(b) The number of accidents was reduced by 0.67 per month every month.

(c) The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.

(d) There were 0.67 accidents per month.

We can eliminate option 'c' because the accidents are obviously not increasing, but rather, decreasing. We can also eliminate option 'd' (which to a certain extent is rather vague) because there is a trend in the data. If there were only 0.67 accidents per month (which is impossible anyway), then the graph would be that of [tex]y=0.67[/tex] which is indeed a straight line. Finally, we can eliminate option 'b' because the x-axis isn't in terms of months, but drivers in the program. This leaves 'a' as the only logical answer, which we can see is true because the graph trends downward (hence the negative slope) by about 0.67 per 100 drivers. With a bit of understanding about the problem, we can eliminate the illogical answers to find the correct one!

Note: you may be wondering why the slope isn't just -0.67, but that is because then it would go down by 0.67 for each driver in the program. Therefore, the slope was divided by 100 to yield us a slope of -0.0067 which makes it go down 0.67 per 100 drivers instead of only 1 driver.

Answer:

d =5

Step-by-step explanation:

d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

at (1,5), (5,2)

d= [tex]\sqrt{(5-1)^2 +(2-5)^2}[/tex]

[tex]d = \sqrt{16 + 9} \\d=\sqrt{25}\\ d =5[/tex]

Therefore 5 is the distance.

Answer:

C

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )

d = [tex]\sqrt{(5-1)^2+(2-5)^2}[/tex]

   = [tex]\sqrt{4^2+(-3)^2}[/tex]

    = [tex]\sqrt{16+9}[/tex]

    = [tex]\sqrt{25}[/tex]

    = 5

Answer:

[tex]P(x\leq 0)=0.37[/tex]

Step-by-step explanation:

[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]

Answer: 0.79

Step-by-step explanation:

The correct answers: tan 120= -√3.

The correct answer is (E)

Angles are the angles between  bisecting lines or surfaces at or near their meeting point.

Given : [tex]\theta\\[/tex] = 2π/3

               = 2*180/3= 120

So, First and the fourth statement is not correct.

and, cos 120= -1/2

sin 120= √3/2

So, B and D statement is also wrong

tan 120= -√3.

Hence, the only correct statement is tan 120= -√3.

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Answer: (1, 2)

Step-by-step explanation:

y = -x² + x + 2

y = -x + 3

1. Set the two equations equal to each other:

-x² + x + 2 = -x + 3

2. move one of the equations to the other side:

-x² + 2x - 1

3. Factor out a -1:

-1 (-x² + 2x - 1) = 0

x² - 2x + 1

4. Factor:

(x - 1)(x - 1)

x = 1

5. Plug in 1 to one of the equations:

y = -x + 3

y = -(1) + 3

y = 2

6. Write as coordinates:

(1, 2)

The expression that represents the volume of the cone is one-third pi r squared h = one-third (4) squared (8).

A cylinder is a three-dimensional object. It is a prism with a circular base. A cone is a three-dimensional object made up of a circular base and a vertex.

volume of a cylinder = πr²h

= pi x r² x 7

volume of a cone = 1/3  πr²

= 1/3 pi x 4² x8

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Answer:

A is Correct

Step-by-step explanation:

Answer:

144

Explanation:

In a regular polygon all angles and sides are equal. to find out to what all the angles add up to you take the number of sides subtract 1 and multiply by 180.

(10-2)*180=1440

1440/10=144