Steve earns $10.00 per hour. he worked 40 hours at regular rate, 8 hours at time and a half and 8 hours at double time. compute the total wages.

The probability of not picking a red marble is 0.2.

The probability of picking a yellow or green marble is 0.5

The probability of drawing an even number of a number greater than 4 is  1.

The probability of getting heads and an even number is 1.

The probability of drawing a 2 or a 4 is 0.25.

Probability determines how likely it is for an event to happen. The chances of the event occurring lies between 1 and 0.

The probability of not picking a red marble = (number of all the marbles - red marbles) / total marbles

4/20 = 0.2

The probability of picking a yellow or green marble = (number of yellow marbles / total number of marbles) + (number of green marbles / total number of marbles)

2/20 + 8/20 = 10/20 = 0.5

The probability of drawing an even number of a number greater than 4 = (number of even numbers / total numbers) + (numbers greater than 4 / total numbers)

5/10 + 5/10 = 1

The probability of getting heads and an even number is = (side that is head / total sides) x (even numbers on a die / total numbers on a die)

1/2 x 3/6 = 1

The probability of drawing a 2 or a 4 = 1/8 + 1/8 = 2/8 = 0.25

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Answer:

448m^3

Step-by-step explanation:

volume of pyramid  = 1/3*area of base * perpendicular height

12*16=192m^2

1/3*192*7=448m^3

The value of the given function will be written as:-

a) f(1)= 12

b) [tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is :-

[tex]f(n)= -48(\dfrac{-1}{4} ) ^{n}[/tex]

So the value of the given function f(1) will be:-

[tex]f(1)= -48(\dfrac{-1}{4} ) ^{1}=12[/tex]

The value of the function f(n-1) will be:-

[tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

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No one because odd functions are symmetric about the origin.

It is a function such that f (x) =f (x) with the sign reversed but the absolute value unchanged if the independent variable's sign is reversed.

If f(x) Equals f(x) for every x, a function is odd. An odd function's graph will be symmetrical around the origin.

For instance, f(x) = x3 is an odd number. That is, the function on one side of the x-axis is sign inverted in relation to the function on the other side, or graphically, symmetric about the origin.

Therefore the odd functions are symmetric about the origin.

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Answer: B

Step-by-step explanation:

Answer:

Your answer is: 36!

Step-by-step explanation:

Hope this helped :)

Answer:

First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.

-7/6 = - 1.167 in simplest form

Answer:

Step-by-step explanation:

You cant simply this into fraction but you can simplify it to decimal form

which is - 1.17 round off

Answer:

12

Step-by-step explanation:

because when u plus 4+4+4 it's 12

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

These are function with leading degree of 3 and above

Given the standard polynomial function of degree 3

ax³+bx²+cx+d

The leading coefficient is "a"

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

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Answer:

6

Step-by-step explanation:

Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6

Answer:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.

Step-by-step explanation:

Step-by-step explanation:

Answer:

50%

half of the numbers are even

Step-by-step explanation:

Answer:

1. $109.20 2. $46.80

Step-by-step explanation:

Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.

Good luck! Hope this helps!

A. The volume of the cylinder is: 7389.03 in.³

B. The volume of the cone is: 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

A. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³

B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

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The Answer is 10/13 :)

Explanation: (13−0)

 = 10/13

(10−0)

​13,10

The slope of the line that represents this relationship is 10/13 .

The graph of the line representing the proportional relationship will be a straight line passing through these two points.

The x-axis represents the "x" values, and the y-axis represents the "y" values. The line should have a positive slope and go through the points (0, 0).

From the graph  (13−0)  = 10/13

From the graph one can see that (10−0) will lead to the points of ​13,10 So, the slope of the line that represents this relationship is 10/13 .

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Answer:

The circumference is 75.36 inches.

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!

We are given the radius that’s equal to 12 inches and π = 3.14

We want to find the circumference.

[tex]\displaystyle \large{C=2\pi r}[/tex] which simply means circumference = 2*π*radius or sometimes can also be written as [tex]\displaystyle \large{C=\pi d}[/tex] which means circumference = π*diameter since 2r means two times of radius and that’s technically diameter.

Determine the following:

Apply the circumference formula.

[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}[/tex]

Hence, the circumference is 75.36 inches.

Answer:

75.36 in^2

Step-by-step explanation:

24*3.14

=75.36 in^2

Answer:

the answer is figure A and C

Answer:

540°

Step-by-step explanation:

Formula: note that n means nr of sides

(n-2)×180°

(5-2)×180°=3×180=540°

Where each angle are 540°÷5=108°

Answer:

540

Step-by-step explanation:

108 is one interior angle from a regular pentagon

And a pentagon has 5 interior angles

So 180x5=540

20f - 4 (5f + 4) + 16

= 20f - 20f - 16 + 16

= 0

Answer:

0

Step-by-step explanation:

Distribute terms in the parentheses

Answer:

0.23

Step-by-step explanation:

0.23 - 0.111 = 0.119

Meaning that it's greater in value.

Answer:

0.23

Step-by-step explanation:

When you look in the tenths place 2 is greater than one :) hope this helps!!

Answer:

1. How many pupils does Mrs.Anub have in all

I am sorry but I could only solve question 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. How many pupils does she have in the class?

b. 40 pupils failed in the test.

c.  x = all pupil in the class

    percentage

d.   75/100 x = 40

e.   75/100 x = 40

           x        = 40*100/75

                     =  53.33

        pupils   =   53 people

f. There are 53 pupils in the class.

Answer:

[tex]4^{4}[/tex]

[tex](-7)^{6}[/tex]

5x5x5x5

Step-by-step explanation:

The exponent sign shows how many times you will multiply the base number by itself

[tex]4^{4}[/tex] is saying "multiply 4 by itself 4 times" which is the same as 4x4x4x4

[tex](-7)^{6}[/tex] is saying "multiply -7 by itself 6 times" which is the same as -7x-7x-7x-7x-7x-7

The coordinates of the fourth vertex, H is; (-6.056, 7.302)

A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.

We are given the coordinates of its' vertices as;

E(1,6), F(3,5), and G(4,-3).

The two diagonals are perpendicular;

Slope of EG = (-3 - 6)/(4 - 1)

Slope of EG = -9/5

Equation of line passing through G is;

y = mx + c

-3 = -9/5(4) + c

-15 = -36 + 15c

c = 51/15 = 17/5

y = (-9/5)x + 17/5    ------(1)

Equation of line passing through F is;

y = mx + c

6 = (5/9)(1) + c

54 = -9 + 9c

c = 7

y = (5/9)x + 7   -----(2)

Solving eq 1 and eq 2 simultaneously gives;

x = -1.528 and y = 6.151

If (a, b) are coordinates of vertex H, then;

(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151

Thus;

a = -6.056 and b = 7.302

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Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2

Step-by-step explanation:

Answer:

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^4 - x^3 - 5x^2 - x - 6[/tex] using Polynomial Division.

1 - Factor the following.

[tex]x^4 - x^3 - 5x^2 - x - 6[/tex]

2 - First, find all factors of the constant term 6.

[tex]1, 2, 3, 6[/tex]

3 - Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]1^4 - 1^3 - 5 * 1^2 - 1 - 6 = - 12[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]( - 1 ) ^ 4 - ( - 1 ) ^ 3 - 5 ( - 1 ) ^ 2 + 1 - 6 = - 8[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]{2}^{4}-{2}^{3}-5\times {2}^{2}-2-6 = -20[/tex]

Substitute -2 into x. Since the result is 0, x+2 is a factor..

[tex]{(-2)}^{4}-{(-2)}^{3}-5{(-2)}^{2}+2-6 = 0[/tex]

⇒ [tex]x+2[/tex]

4 - Polynomial Division: Divide [tex]{x}^{4}-{x}^{3}-5{x}^{2}-x-6[/tex] by [tex]x+2[/tex]

                                        [tex]x^3[/tex]                [tex]-3x^2[/tex]              [tex]x[/tex]           [tex]-3[/tex]

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

[tex]x+2[/tex]                                    |   [tex]x^4[/tex]        [tex]-x^3[/tex]               [tex]-5x^2[/tex]     [tex]-x[/tex]           [tex]-6[/tex]

                                                  [tex]x^4[/tex]         [tex]2x^3[/tex]

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

                                               [tex]-3x^3[/tex]         [tex]-5x^2[/tex]          [tex]-x[/tex]              [tex]-6[/tex]

                                                 [tex]-3x^3[/tex]       [tex]-6x^2[/tex]

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

                                                    [tex]-3x[/tex]         [tex]-6[/tex]

                                                       [tex]-3x[/tex]      [tex]-6[/tex]

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

5 - Rewrite the expression using the above.

[tex]{x}^{3}-3{x}^{2}+x-3[/tex]

2) Factor out common terms in the first two terms, then in the last two terms.

[tex]({x}^{2}(x-3)+(x-3))(x+2)[/tex]

3) Factor out the common term [tex]x-3[/tex].

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

What best describes the strength of the correlation between variables is that it is a strong positive correlation, and it is likely causal.

Corresponds to a statistical relationship, which will be positive when both variables, such as x and y move in the same direction, that is, when one variable increases, the other also increases, being a causal relationship.

Therefore, the relationship can also be negative, meaning that when the value of one variable increases, the values ​​of the other will decrease.

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Answer:

  16 mph

Step-by-step explanation:

You want the speed of a boat in still water if it travels 28 miles upstream in the same time it travels 36 miles downstream in a river that runs 2 mph.

The relation between time, speed, and distance is ...

  t = d/s

If we let b represent the boat speed, the two identical times give the relation ...

  28/(b -2) = 36/(b +2)

  28(b +2) = 36(b -2) . . . . cross multiply

  28b +56 = 36b -72 . . . . eliminate parentheses

  128 = 8b . . . . . . . . . . . . add 72 -28b

  16 = b . . . . . . . . . . . . divide by 8

The speed of the boat is 16 mph.

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Answer:

X is a rational number, y is not a rational number, and y is larger.

Step-by-step explanation:

The line above the 0.147 means that the number goes on forever and never stops. This is a characteristic of an irrational number. Rational numbers, however, do stop, so x is rational. Because y goes on forever, it has more values after the 0.147, making it larger.

Answer:

(4,1)

Step-by-step explanation:

After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)